diff --git a/.gitignore b/.gitignore
index 7bbc71c..afafc80 100644
--- a/.gitignore
+++ b/.gitignore
@@ -99,3 +99,6 @@ ENV/
# mypy
.mypy_cache/
+
+# nbconverted slides
+*.slides.html
diff --git a/CHANGELOG.md b/CHANGELOG.md
new file mode 100644
index 0000000..34dbc96
--- /dev/null
+++ b/CHANGELOG.md
@@ -0,0 +1,22 @@
+# Changelog
+All notable changes to this project will be documented in this file.
+
+The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
+
+## [Unreleased]
+### Added
+ - `environment.yml` to reproduce course environment.
+### Changed
+ - Setup instructions:
+ - Use new `environment.yml`.
+ - Remove depenencies: astroml, edward, autograd, wpca.
+ - Add dependencies: pytorch, torchvision.
+ - mls python package:
+ - bump version to 0.2.
+### Fixed
+ - Error in WPCA example of Dimensionality nb.
+ - Typo in Homework1.
+ - Typo in Probability nb.
+
+## [UCI.W18] - 2018-03-21
+ - Snapshot after UCI W18 quarter, when this course was first taught.
diff --git a/README.md b/README.md
index f4b368c..14ee8c9 100644
--- a/README.md
+++ b/README.md
@@ -9,3 +9,5 @@ Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics)
The notebooks contain exercises but you will need to enable the [exercise2 extension](https://github.com/ipython-contrib/jupyter_contrib_nbextensions/tree/master/src/jupyter_contrib_nbextensions/nbextensions/exercise2) to hide the solutions while you work on them, as described in the [setup instructions](notebooks/Setup.ipynb). All solutions are visible if you view notebooks on github.
Instructors are welcome to contact dkirkby at uci.edu for access to additional material or to discuss collaboration.
+
+[]() [](http://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/tree/master/notebooks/Contents.ipynb)
diff --git a/environment.yml b/environment.yml
new file mode 100644
index 0000000..afdba43
--- /dev/null
+++ b/environment.yml
@@ -0,0 +1,27 @@
+## Conda environment for a UC Irvine course on Machine Learning & Statistics.
+## Details at:
+## https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Setup.ipynb
+
+name: MLS
+channels:
+ - anaconda
+ - conda-forge # needed for jupyterlab, jupyter_contrib_nbextensions, emcee
+dependencies:
+ - python=3.8 # conda default as of Apr 2021
+ - pip # ensures that any pip installs only modify this env
+ - ipython
+ - jupyter
+ - jupyterlab # needed for "jupyter lab"
+ - ipykernel # ensures that (base) nb_conda creates a kernel for this env
+ - numpy
+ - scipy
+ - pandas
+ - matplotlib
+ - seaborn
+ - scikit-learn
+ - hdf5
+ - pytables
+ - pillow
+ - libiconv # needed by jupyter_contrib_nbextensions on some platforms
+ - jupyter_contrib_nbextensions
+ - emcee
diff --git a/mls/data/photoz_data.hf5 b/mls/data/photoz_data.hf5
new file mode 100644
index 0000000..977aa3c
Binary files /dev/null and b/mls/data/photoz_data.hf5 differ
diff --git a/mls/data/photoz_targets.hf5 b/mls/data/photoz_targets.hf5
new file mode 100644
index 0000000..e484aed
Binary files /dev/null and b/mls/data/photoz_targets.hf5 differ
diff --git a/mls/data/specz_data.hf5 b/mls/data/specz_data.hf5
new file mode 100644
index 0000000..d68622c
Binary files /dev/null and b/mls/data/specz_data.hf5 differ
diff --git a/mls/data/specz_targets.hf5 b/mls/data/specz_targets.hf5
new file mode 100644
index 0000000..362ab4a
Binary files /dev/null and b/mls/data/specz_targets.hf5 differ
diff --git a/mls/neural.py b/mls/neural.py
index 5f78daa..e7d2eae 100644
--- a/mls/neural.py
+++ b/mls/neural.py
@@ -20,29 +20,30 @@ def nn_map2d(fx, params=None, x_range=3, ax=None, vlim=None, label=None):
w = np.asarray(w)
x0 = -b * w / np.dot(w, w)
ax.annotate('', xy=x0 + w, xytext=x0,
- arrowprops=dict(arrowstyle='->', lw=3))
+ arrowprops=dict(arrowstyle='->', lw=3, color='k'))
if label:
ax.text(0.5, 0.9, label, horizontalalignment='center',
color='k', fontsize=16, transform=ax.transAxes)
- ax.grid('off')
+ ax.grid(False)
ax.axis('off')
-def nn_unit_draw2d(w, b, phi, x_range=3, ax=None, vlim=None, label=None):
+def nn_unit_draw2d(w, b, phi, x_range=3, nx=250, ax=None, vlim=None, label=None):
"""Draw a single network unit or layer with 2D input.
Parameters
----------
w : array
- 1D (unit) or 2D (layer) array of weight values to use.
+ 1D array of weight values to use.
b : float or array
scalar (unit) or 1D array (layer) of bias values to use.
phi : callable
Activation function to use.
"""
- x_i = np.linspace(-x_range, +x_range, 250)
- x = np.stack(np.meshgrid(x_i, x_i), axis=1)
- fx = phi(np.dot(w, x) + b)
+ x_i = np.linspace(-x_range, +x_range, nx)
+ X = np.stack(np.meshgrid(x_i, x_i), axis=2).reshape(nx ** 2, 2)
+ W = np.asarray(w).reshape(2, 1)
+ fx = phi(np.dot(X, W) + b).reshape(nx, nx)
nn_map2d(fx, (w, b), x_range, ax, vlim, label)
@@ -61,19 +62,19 @@ def nn_graph_draw2d(*layers, x_range=3, label=None, n_grid=250, n_bins=25):
depth = len(layers)
n_max, vlim = 0, 0.
for i, (W, b, phi) in enumerate(layers):
- W = np.asarray(W)
+ WT = np.asarray(W).T
b = np.asarray(b)
- n_out, n_in = W.shape
+ n_out, n_in = WT.shape
n_max = max(n_max, n_out)
if layer_in.shape != (n_in, n_grid ** 2):
raise ValueError(
- 'LYR{}: number of columns in W ({}) does not match layer input size ({}).'
+ 'LYR{}: number of rows in W ({}) does not match layer input size ({}).'
.format(i + 1, n_in, layer_in.shape))
if b.shape != (n_out,):
raise ValueError(
- 'LYR{}: number of rows in W ({}) does not match size of b ({}).'
+ 'LYR{}: number of columns in W ({}) does not match size of b ({}).'
.format(i + 1, n_out, b.shape))
- s = np.dot(W, layer_in) + b.reshape(-1, 1)
+ s = np.dot(WT, layer_in) + b.reshape(-1, 1)
layer_s.append(s)
layer_out.append(phi(s))
layer_in = layer_out[-1]
@@ -81,12 +82,13 @@ def nn_graph_draw2d(*layers, x_range=3, label=None, n_grid=250, n_bins=25):
_, ax = plt.subplots(n_max, depth, figsize=(3 * depth, 3 * n_max),
sharex=True, sharey=True, squeeze=False)
for i, (W, b, phi) in enumerate(layers):
+ W = np.asarray(W)
for j in range(n_max):
if j >= len(layer_out[i]):
ax[j, i].axis('off')
continue
label = 'LYR{}-NODE{}'.format(i + 1, j + 1)
- params = (W[j], b[j]) if i == 0 else None
+ params = (W[:,j], b[j]) if i == 0 else None
fx = layer_out[i][j]
nn_map2d(fx.reshape(n_grid, n_grid), params=params,
ax=ax[j, i], vlim=vlim, x_range=x_range, label=label)
diff --git a/mls/optimize.py b/mls/optimize.py
index 04fe8af..d4a2524 100644
--- a/mls/optimize.py
+++ b/mls/optimize.py
@@ -41,7 +41,7 @@ def plot_rosenbrock(xrange=(-1.5, 1.5), yrange=(-0.5,1.5), ngrid=500,
plt.clabel(c, inline=1, fontsize=10, fmt='%.0g')
plt.axhline(1, c='gray', lw=1, ls='--')
plt.axvline(1, c='gray', lw=1, ls='--')
- plt.grid('off')
+ plt.grid(False)
plt.xlabel('$x_0$')
plt.ylabel('$x_1$')
if all_calls:
@@ -125,7 +125,7 @@ def plot_posterior(D, mu_range=(-0.5,0.5), sigma_range=(0.7,1.5), ngrid=100,
plt.setp(l.get_texts(), color='w', fontsize='x-large')
plt.axhline(1, c='gray', lw=1, ls='--')
plt.axvline(0, c='gray', lw=1, ls='--')
- plt.grid('off')
+ plt.grid(False)
plt.xlabel('Offset parameter $\mu$')
plt.ylabel('Scale parameter $\sigma$')
plt.xlim(*mu_range)
diff --git a/mls/plot.py b/mls/plot.py
index 8177731..6e316a9 100644
--- a/mls/plot.py
+++ b/mls/plot.py
@@ -7,11 +7,15 @@
import matplotlib.pyplot as plt
-from matplotlib.colors import colorConverter
+import seaborn as sns
+
+from matplotlib.colors import colorConverter, ListedColormap
from matplotlib.collections import EllipseCollection
+import scipy.stats
+
-def draw_ellipses(w, mu, C, nsigmas=2, color='red', axis=None):
+def draw_ellipses(w, mu, C, nsigmas=2, color='red', outline=None, filled=True, axis=None):
"""Draw a collection of ellipses.
Uses the low-level EllipseCollection to efficiently draw a large number
@@ -22,35 +26,56 @@ def draw_ellipses(w, mu, C, nsigmas=2, color='red', axis=None):
----------
w : array
1D array of K relative weights for each ellipse. Must sum to one.
- Ellipses with smaller weights are rended with greater transparency.
+ Ellipses with smaller weights are rendered with greater transparency
+ when filled is True.
mu : array
Array of shape (K, 2) giving the 2-dimensional centroids of
each ellipse.
C : array
Array of shape (K, 2, 2) giving the 2 x 2 covariance matrix for
each ellipse.
+ nsigmas : float
+ Number of sigmas to use for scaling ellipse area to a confidence level.
+ color : matplotlib color spec
+ Color to use for the ellipse edge (and fill when filled is True).
+ outline : None or matplotlib color spec
+ Color to use to outline the ellipse edge, or no outline when None.
+ filled : bool
+ Fill ellipses with color when True, adjusting transparency to
+ indicate relative weights.
axis : matplotlib axis or None
Plot axis where the ellipse collection should be drawn. Uses the
current default axis when None.
"""
- # Use transparency to indicate relative weights.
- color = colorConverter.to_rgba(color)
- ec = np.tile([color], (len(w), 1))
- ec[:, -1] *= w
- fc = np.tile([color], (len(w), 1))
- fc[:, -1] *= w ** 2
# Calculate the ellipse angles and bounding boxes using SVD.
U, s, _ = np.linalg.svd(C)
angles = np.degrees(np.arctan2(U[:, 1, 0], U[:, 0, 0]))
widths, heights = 2 * nsigmas * np.sqrt(s.T)
+ # Initialize colors.
+ color = colorConverter.to_rgba(color)
+ if filled:
+ # Use transparency to indicate relative weights.
+ ec = np.tile([color], (len(w), 1))
+ ec[:, -1] *= w
+ fc = np.tile([color], (len(w), 1))
+ fc[:, -1] *= w ** 2
# Data limits must already be defined for axis.transData to be valid.
axis = axis or plt.gca()
- axis.add_collection(EllipseCollection(
- widths, heights, angles, units='xy', offsets=mu, linewidths=2,
- transOffset=axis.transData, facecolors=fc, edgecolors=ec))
+ if outline is not None:
+ axis.add_collection(EllipseCollection(
+ widths, heights, angles, units='xy', offsets=mu, linewidths=4,
+ transOffset=axis.transData, facecolors='none', edgecolors=outline))
+ if filled:
+ axis.add_collection(EllipseCollection(
+ widths, heights, angles, units='xy', offsets=mu, linewidths=2,
+ transOffset=axis.transData, facecolors=fc, edgecolors=ec))
+ else:
+ axis.add_collection(EllipseCollection(
+ widths, heights, angles, units='xy', offsets=mu, linewidths=2.5,
+ transOffset=axis.transData, facecolors='none', edgecolors=color))
-def GMM_pairplot(data, w, mu, C, limits=None):
+def GMM_pairplot(data, w, mu, C, limits=None, entropy=False):
"""Display 2D projections of a Gaussian mixture model fit.
Parameters
@@ -58,13 +83,12 @@ def GMM_pairplot(data, w, mu, C, limits=None):
data : pandas DataFrame
N samples of D-dimensional data.
w : array
- 1D array of K relative weights for each component. Must sum to one.
- Ellipses with smaller weights are rended with greater transparency.
+ 1D array of K relative weights for each ellipse. Must sum to one.
mu : array
- Array of shape (K, D) giving the D-dimensional centroids of
+ Array of shape (K, 2) giving the 2-dimensional centroids of
each ellipse.
C : array
- Array of shape (K, D, D) giving the D x D covariance matrix for
+ Array of shape (K, 2, 2) giving the 2 x 2 covariance matrix for
each ellipse.
limits : array or None
Array of shape (D, 2) giving [lo,hi] plot limits for each of the
@@ -73,6 +97,27 @@ def GMM_pairplot(data, w, mu, C, limits=None):
colnames = data.columns.values
X = data.values
N, D = X.shape
+ if entropy:
+ n_components = len(w)
+ # Pick good colors to distinguish the different clusters.
+ cmap = ListedColormap(
+ sns.color_palette('husl', n_components).as_hex())
+ # Calculate the relative probability that each sample belongs to each cluster.
+ # This is equivalent to fit.predict_proba(X)
+ lnprob = np.zeros((n_components, N))
+ for k in range(n_components):
+ lnprob[k] = scipy.stats.multivariate_normal.logpdf(X, mu[k], C[k])
+ lnprob += np.log(w)[:, np.newaxis]
+ prob = np.exp(lnprob)
+ prob /= prob.sum(axis=0)
+ prob = prob.T
+ # Assign each sample to its most probable cluster.
+ labels = np.argmax(prob, axis=1)
+ color = cmap(labels)
+ if n_components > 1:
+ # Calculate the relative entropy (0-1) as a measure of cluster assignment ambiguity.
+ relative_entropy = -np.sum(prob * np.log(prob), axis=1) / np.log(n_components)
+ color[:, :3] *= (1 - relative_entropy).reshape(-1, 1)
# Build a pairplot of the results.
fs = 5 * min(D - 1, 3)
fig, axes = plt.subplots(D - 1, D - 1, sharex='col', sharey='row',
@@ -84,9 +129,17 @@ def GMM_pairplot(data, w, mu, C, limits=None):
ax.axis('off')
continue
# Plot the data in this projection.
- ax.scatter(X[:, j], X[:, i], s=10, alpha=0.3, c='k', lw=0)
+ if entropy:
+ ax.scatter(X[:, j], X[:, i], s=5, c=color, cmap=cmap)
+ draw_ellipses(
+ w, mu[:, [j, i]], C[:, [[j], [i]], [[j, i]]],
+ color='w', outline='k', filled=False, axis=ax)
+ else:
+ ax.scatter(X[:, j], X[:, i], s=10, alpha=0.3, c='k', lw=0)
+ draw_ellipses(
+ w, mu[:, [j, i]], C[:, [[j], [i]], [[j, i]]],
+ color='red', outline=None, filled=True, axis=ax)
# Overlay the fit components in this projection.
- draw_ellipses(w, mu[:, [j, i]], C[:, [[j], [i]], [[j, i]]], axis=ax)
# Add axis labels and optional limits.
if j == 0:
ax.set_ylabel(colnames[i])
diff --git a/mls/stochastic.py b/mls/stochastic.py
index 68abc5e..3cd93a2 100644
--- a/mls/stochastic.py
+++ b/mls/stochastic.py
@@ -116,7 +116,7 @@ def tabulate_conditional(self, n, m, lo, hi, nbins, nruns):
for k in range(nsteps):
history.append(self.update(history, self.gen))
Xj.append(history[-1])
- result[i], _ = np.histogram(Xj, bins, normed=True)
+ result[i], _ = np.histogram(Xj, bins, density=True)
result *= (hi - lo) / nbins
assert np.allclose(result.sum(axis=1), 1)
return bins, result
@@ -154,7 +154,7 @@ def plot_conditional(self, bins, table, xlabel=None, ylabel=None,
ax.plot(mean, xy , 'b-')
ax.set_xlabel(xlabel)
ax.set_ylabel(ylabel)
- ax.grid('off')
+ ax.grid(False)
def plot_conditionals(self, lo=0., hi=1., nbins=50, nruns=2000,
which=(1, 2, 3)):
diff --git a/mls/torch.py b/mls/torch.py
new file mode 100644
index 0000000..f6a9a3b
--- /dev/null
+++ b/mls/torch.py
@@ -0,0 +1,146 @@
+"""PyTorch utilities for the UC Irvine course on
+'ML & Statistics for Physicists'
+"""
+import functools
+import copy
+
+import numpy as np
+
+import torch.nn
+
+
+def sizes_as_string(tensors):
+ if isinstance(tensors, torch.Tensor):
+ return str(tuple(tensors.size()))
+ else:
+ return ', '.join([sizes_as_string(T) for T in tensors])
+
+def trace_forward(module, input, output, name='', verbose=False):
+ """Implement the module forward hook API.
+
+ Parameters
+ ----------
+ input : tuple or tensor
+ Input tensor(s) to this module. We save a detached
+ copy to this module's `input` attribute.
+ output : tuple or tensor
+ Output tensor(s) to this module. We save a detached
+ copy to this module's `output` attribute.
+ """
+ if isinstance(input, tuple):
+ module.input = [I.detach() for I in input]
+ if len(module.input) == 1:
+ module.input = module.input[0]
+ else:
+ module.input = input.detach()
+ if isinstance(output, tuple):
+ module.output = tuple([O.detach() for O in output])
+ if len(module.output) == 1:
+ module.output = module.output[0]
+ else:
+ module.output = output.detach()
+ if verbose:
+ print(f'{name}: IN {sizes_as_string(module.input)} OUT {sizes_as_string(module.output)}')
+
+def trace_backward(module, grad_in, grad_out, name='', verbose=False):
+ """Implement the module backward hook API.
+
+ Parameters
+ ----------
+ grad_in : tuple or tensor
+ Gradient tensor(s) for each input to this module.
+ These are the *outputs* from backwards propagation and we
+ ignore them.
+ grad_out : tuple or tensor
+ Gradient tensor(s) for each output to this module.
+ Theser are the *inputs* to backwards propagation and
+ we save detached views to the module's `grad` attribute.
+ If grad_out is a tuple with only one entry, which is usually
+ the case, save the tensor directly.
+ """
+ if isinstance(grad_out, tuple):
+ module.grad = tuple([O.detach() for O in grad_out])
+ if len(module.grad) == 1:
+ module.grad = module.grad[0]
+ else:
+ module.grad = grad_out.detach()
+ if verbose:
+ print(f'{name}: GRAD {sizes_as_string(module.grad)}')
+
+def trace(module, active=True, verbose=False):
+ if hasattr(module, '_trace_hooks'):
+ # Remove all previous tracing hooks.
+ for hook in module._trace_hooks:
+ hook.remove()
+ if not active:
+ return
+ module._trace_hooks = []
+ for name, submodule in module.named_modules():
+ if submodule is module:
+ continue
+ module._trace_hooks.append(submodule.register_forward_hook(
+ functools.partial(trace_forward, name=name, verbose=verbose)))
+ module._trace_hooks.append(submodule.register_backward_hook(
+ functools.partial(trace_backward, name=name, verbose=verbose)))
+
+
+def get_lr(self, name='lr'):
+ lr_grps = [grp for grp in self.param_groups if name in grp]
+ if not lr_grps:
+ raise ValueError(f'Optimizer has no parameter called "{name}".')
+ if len(lr_grps) > 1:
+ raise ValueError(f'Optimizer has multiple parameters called "{name}".')
+ return lr_grps[0][name]
+
+def set_lr(self, value, name='lr'):
+ lr_grps = [grp for grp in self.param_groups if name in grp]
+ if not lr_grps:
+ raise ValueError(f'Optimizer has no parameter called "{name}".')
+ if len(lr_grps) > 1:
+ raise ValueError(f'Optimizer has multiple parameters called "{name}".')
+ lr_grps[0][name] = value
+
+# Add get_lr, set_lr methods to all Optimizer subclasses.
+torch.optim.Optimizer.get_lr = get_lr
+torch.optim.Optimizer.set_lr = set_lr
+
+
+def lr_scan(loader, model, loss_fn, optimizer, lr_start=1e-6, lr_stop=1., lr_steps=100):
+ """Implement the learning-rate scan described in Smith 2015.
+ """
+ import matplotlib.pyplot as plt
+ # Save the model and optimizer states before scanning.
+ model_save = copy.deepcopy(model.state_dict())
+ optim_save = copy.deepcopy(optimizer.state_dict())
+ # Schedule learning rate to increase in logarithmic steps.
+ lr_schedule = np.logspace(np.log10(lr_start), np.log10(lr_stop), lr_steps)
+ model.train()
+ losses = []
+ scanning = True
+ while scanning:
+ for x_in, y_tgt in loader:
+ optimizer.set_lr(lr_schedule[len(losses)])
+ y_pred = model(x_in)
+ loss = loss_fn(y_pred, y_tgt)
+ losses.append(loss.data)
+ if len(losses) == lr_steps or losses[-1] > 10 * losses[0]:
+ scanning = False
+ break
+ optimizer.zero_grad()
+ loss.backward()
+ optimizer.step()
+ # Restore the model and optimizer state.
+ model.load_state_dict(model_save)
+ optimizer.load_state_dict(optim_save)
+ # Plot the scan results.
+ plt.plot(lr_schedule[:len(losses)], losses, '.')
+ plt.ylim(0.5 * np.min(losses), 10 * losses[0])
+ plt.yscale('log')
+ plt.xscale('log')
+ plt.xlabel('Learning rate')
+ plt.ylabel('Loss')
+ # Return an optimizer with set_lr/get_lr methods, and lr set to half of the best value found.
+ idx = np.argmin(losses)
+ lr_set = 0.5 * lr_schedule[idx]
+ print(f'Recommended lr={lr_set:.3g}.')
+ optimizer.set_lr(lr_set)
diff --git a/mls/variational.py b/mls/variational.py
index 03789ae..74c90d4 100644
--- a/mls/variational.py
+++ b/mls/variational.py
@@ -208,7 +208,7 @@ def plot_ELBO(q, q_scale_range, likelihood, prior, theta_range, n_data, seed=123
ax[2].legend(loc='upper center', fontsize='x-large')
x_lim = 1.1 * np.max(np.abs(D))
- ax[3].hist(D, normed=True, range=(-x_lim, +x_lim), histtype='stepfilled')
+ ax[3].hist(D, density=True, range=(-x_lim, +x_lim), histtype='stepfilled')
x = np.linspace(-x_lim, +x_lim, 250)
dtheta = 0.25 * (theta[-1] - theta[0])
for theta, ls in zip(
diff --git a/notebooks/.gitignore b/notebooks/.gitignore
index cb56c13..5e558af 100644
--- a/notebooks/.gitignore
+++ b/notebooks/.gitignore
@@ -4,3 +4,8 @@ pong_data.tsv
# Template for creating new notebooks
TEMPLATE.ipynb
+
+# Temporary files.
+*.pth
+*.dot
+*.png
diff --git a/notebooks/Bayes.ipynb b/notebooks/Bayes.ipynb
index dcc2819..20b4b83 100644
--- a/notebooks/Bayes.ipynb
+++ b/notebooks/Bayes.ipynb
@@ -309,7 +309,7 @@
{
"data": {
"text/plain": [
- "{'!English': 0.5, 'English': 0.5}"
+ "{'English': 0.5, '!English': 0.5}"
]
},
"execution_count": 4,
@@ -397,15 +397,15 @@
" \n",
"
\n",
"
\n",
- "
!English
\n",
"
English
\n",
+ "
!English
\n",
"
\n",
" \n",
"
\n",
"
\n",
"
PRIOR
\n",
- "
0.8
\n",
"
0.2
\n",
+ "
0.8
\n",
"
\n",
"
\n",
"
D=t-shirt
\n",
@@ -414,18 +414,18 @@
"
\n",
"
\n",
"
D=t-shirt
\n",
- "
0.2
\n",
"
0.8
\n",
+ "
0.2
\n",
"
\n",
" \n",
"\n",
""
],
"text/plain": [
- " !English English\n",
- "PRIOR 0.8 0.2\n",
- "D=t-shirt 0.5 0.5\n",
- "D=t-shirt 0.2 0.8"
+ " English !English\n",
+ "PRIOR 0.2 0.8\n",
+ "D=t-shirt 0.5 0.5\n",
+ "D=t-shirt 0.8 0.2"
]
},
"metadata": {},
@@ -614,7 +614,7 @@
"source": [
"Somewhat surprisingly, this toy problem has a practical application with historical significance!\n",
"\n",
- "Imagine a factory that has made $N$ items, each with a serial number 1--$N$. If you randomly select items and read their serial numbers, the problem of estimating $N$ is analogous to our dice problem, but with many more models to consider. This approach was successfully used in World-War II by the Allied Forces to [estimate the production rate of German tanks](https://en.wikipedia.org/wiki/German_tank_problem) at a time when most academic statisticians rejected Bayesian methods.\n",
+ "Imagine a factory that has made $N$ items, each with a serial number 1 - $N$. If you randomly select items and read their serial numbers, the problem of estimating $N$ is analogous to our dice problem, but with many more models to consider. This approach was successfully used in World-War II by the Allied Forces to [estimate the production rate of German tanks](https://en.wikipedia.org/wiki/German_tank_problem) at a time when most academic statisticians rejected Bayesian methods.\n",
"\n",
"For more historical perspective on the development of Bayesian methods (and many obstacles along the way), read the entertaining book [The Theory That Would Not Die](https://www.amazon.com/Theory-That-Would-Not-Die/dp/0300188226).\n",
"\n",
@@ -651,12 +651,13 @@
" - What fraction of galaxies contain a supermassive black hole?\n",
" - What fraction of Higgs candidate decays are due to background?\n",
" - What fraction of of my nanowires are superconducting?\n",
+ " - What fraction of my plasma shots are unstable?\n",
" \n",
"For our prior, $P(\\theta)$, we use the [beta distribution](https://en.wikipedia.org/wiki/Beta_distribution) which is specified by hyperparameters $a$ and $b$:\n",
"$$\n",
"P(\\theta\\mid a, b) = \\frac{\\Gamma(a+b)}{\\Gamma(a)\\Gamma(b)}\\, \\theta^{a-1} \\left(1 - \\theta\\right)^{b-1} \\; ,\n",
"$$\n",
- "where $\\Gamma$ is the [gamma function](https://en.wikipedia.org/wiki/Gamma_function) related to the factorial $\\Gamma(n) = (n-1)!$"
+ "where $\\Gamma$ is the [gamma function](https://en.wikipedia.org/wiki/Gamma_function) related to the factorial $\\Gamma(n) = (n-1)!$ This function provides the prior (or posterior) corresponding to previous (or updated) measurements of a binomial process with $a + b - 2$ trials with $a - 1$ passing (and therefore $b - 1$ not passing)."
]
},
{
@@ -702,7 +703,7 @@
" - What values of $\\theta$ are absolutely ruled out by this data? Does this make sense?\n",
" - How are the three quantities plotted normalized?\n",
" \n",
- "**Q3:** Infer $\\theta$ from the same 2 observations with 1 passing, using instead $(a=10,b=5)$.\n",
+ "**Q3:** Infer $\\theta$ from the same 2 observations with 1 passing, using instead $(a=5,b=10)$.\n",
" - Is the posterior still reasonable given the observed data? Explain your reasoning.\n",
" - How might you choose between these two subjective priors?\n",
"\n",
@@ -720,9 +721,9 @@
"outputs": [
{
"data": {
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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -773,7 +774,7 @@
},
"source": [
" - The posterior now peaks away from the mean observed pass rate of 1/2. This is reasonable if we believe our prior information since, with relatively uninformative data, Bayes' rule tells us that it should dominate our knowledge of $\\theta$. On the other hand, if we cannot justify why this prior is more believable than the earlier flat prior, then we must conclude that the value of $\\theta$ is unknown and that our data has not helped.\n",
- " - If a previous experiment with 13 observations found 4 passing, then our new prior would be very reasonable. However, if this process has never been observed and we have no theoretical prejudice, then the original flat prior would be reasonable."
+ " - If a previous experiment with $13=(a-1)+(b-1)$ observations found $4=a-1$ passing, then our new prior would be very reasonable. However, if this process has never been observed and we have no theoretical prejudice, then the original flat prior would be reasonable."
]
},
{
@@ -785,9 +786,9 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -959,7 +960,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.5"
}
},
"nbformat": 4,
diff --git a/notebooks/Clustering.ipynb b/notebooks/Clustering.ipynb
index 8b82f68..82b431d 100644
--- a/notebooks/Clustering.ipynb
+++ b/notebooks/Clustering.ipynb
@@ -129,7 +129,7 @@
"$$\n",
"ML algorithms are generally unit-agnostic, so will happily combine features with different units but that may not be what you really want.\n",
"\n",
- "One reasonable solution is to normalize each feature with the [whitening transformation](https://en.wikipedia.org/wiki/Whitening_transformation):\n",
+ "One reasonable solution is to normalize each feature with the [sphering transformation](https://en.wikipedia.org/wiki/Whitening_transformation):\n",
"$$\n",
"x \\rightarrow (x - \\mu) / \\sigma\n",
"$$\n",
@@ -473,9 +473,9 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -674,7 +674,7 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
@@ -692,29 +692,19 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "An algorithm to find clusters in 2D data is just automating what you could already by eye. However, most clustering algorithms also work well with higher dimensional data, where the clusters might not be visible in any single 2D projection."
+ "An algorithm to find clusters in 2D data is just automating what you could already do by eye. However, most clustering algorithms also work well with higher dimensional data, where the clusters might not be visible in any single 2D projection."
]
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
+ "image/png": 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\n",
"text/plain": [
- ""
- ]
- },
- "execution_count": 18,
- "metadata": {},
- "output_type": "execute_result"
- },
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -767,7 +748,7 @@
" [ 0.5 , -0.5 , 0.707]])\n",
"rotated_3d = cluster_3d.copy()\n",
"rotated_3d[['x0', 'x1', 'x2']] = cluster_3d[['x0', 'x1', 'x2']].dot(R)\n",
- "sns.pairplot(rotated_3d, vars=('x0', 'x1', 'x2'), hue='label')"
+ "sns.pairplot(rotated_3d, vars=('x0', 'x1', 'x2'), hue='label');"
]
},
{
@@ -779,21 +760,27 @@
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "heading_collapsed": true
+ },
"source": [
- "## General comments on ML Algorithms"
+ "## Anatomy of a ML Algorithm"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "hidden": true
+ },
"source": [
"Now that we have introduced our first ML algorithm, this is a good time for some general comments."
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "hidden": true
+ },
"source": [
"Most ML algorithms have some common features:\n",
"- They seek to maximize (or minimize) some goal function $f(\\theta, D)$ of the (fixed) data $D$, for some (unknown) parameters $\\theta$.\n",
@@ -806,12 +793,18 @@
"Questions to ask about how the algorithm optimizes its goal function:\n",
"- Is it exact or approximate?\n",
"- If it is approximate, is it also iterative? If so, what are the convergence criteria?\n",
- "- How does the running time scale with the number of samples and number of features?"
+ "- Does the optimization use derivatives of the goal function to speed its convergence? Are these known in advance or how are they calculated?\n",
+ "- How does the algorithm's running time scale with:\n",
+ " - the number of samples in the data?\n",
+ " - the number of features in the data?\n",
+ " - the number of parameters in the model?"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "hidden": true
+ },
"source": [
"The goal function of the KMeans algorithm is:\n",
"$$\n",
@@ -827,6 +820,7 @@
{
"cell_type": "markdown",
"metadata": {
+ "hidden": true,
"solution2": "hidden",
"solution2_first": true
},
@@ -837,6 +831,7 @@
{
"cell_type": "markdown",
"metadata": {
+ "hidden": true,
"solution2": "hidden"
},
"source": [
@@ -849,14 +844,18 @@
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "hidden": true
+ },
"source": [
"### Supervised vs Unsupervised"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "hidden": true
+ },
"source": [
"ML algorithms come in two flavors, depending on whether they require some training data where you already know the answer (\"supervised\") or not (\"unsupervised\"). Clustering algorithms are unsupervised.\n",
"\n",
@@ -876,7 +875,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "The KMeans algorithm uses an iterative solution based on the [Expectation-Maximization (EM)](https://en.wikipedia.org/wiki/Expectation-maximization_algorithm) principle. This is a powerful approach used by many algorithms, which we will revist several times during the course."
+ "The KMeans algorithm uses an iterative solution based on the [Expectation-Maximization (EM)](https://en.wikipedia.org/wiki/Expectation-maximization_algorithm) principle. This is a powerful approach used by many algorithms, which we will revist several times during the course and you will explore further in a homework assignment."
]
},
{
@@ -909,16 +908,16 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": 22,
"metadata": {
"solution2": "hidden"
},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"def plot_blobs(labels):\n",
" Xy = blobs_data.copy()\n",
@@ -135,7 +141,7 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
@@ -152,8 +158,32 @@
"$$\n",
"The task of **density estimation** is then to empirically estimate $P(x)$ from the observed $X$. This will always be an error prone process since, generally, $P(x)$ contains infinitely more information than the finite $X$ that we cannot hope to recover. Our goal is therefore to do the best possible job with the limited information available.\n",
"\n",
- "A histogram usually counts the number $n_i$ of samples falling into each of its $B$ predefined bins $b_{i-1} \\le x \\lt b_i$ (note that there are $B$ counts $n_i$ and $B+1$ bin edges $b_i$). This convention has the advantage that the error on each bin value is described by the [Poisson distribution](https://en.wikipedia.org/wiki/Poisson_distribution), which becomes indistinguishable from the [Normal distribution](https://en.wikipedia.org/wiki/Normal_distribution) for large counts $n_i$, leading to the rule of thumb $n_i \\pm \\sqrt{n_i}$.\n",
- "\n",
+ "A histogram usually counts the number $n_i$ of samples falling into each of its $B$ predefined bins $b_{i-1} \\le x \\lt b_i$ (note that there are $B$ counts $n_i$ and $B+1$ bin edges $b_i$). This convention has the advantage that the error on each bin value is described by the [Poisson distribution](https://en.wikipedia.org/wiki/Poisson_distribution), which becomes indistinguishable from the [Normal distribution](https://en.wikipedia.org/wiki/Normal_distribution) for large counts $n_i$, leading to the rule of thumb $n_i \\pm \\sqrt{n_i}$."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden",
+ "solution2_first": true
+ },
+ "source": [
+ "**EXERCISE:** A measurement pipeline often converts a raw count (of photons, electrons, etc) to a more convenient quantity. For example, suppose we count $n$ photons with a detector that is only 50% efficient, and then quote the number of photons that would be detected with perfect efficiency. What is the resulting value and its uncertainty?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "**ANSWER:** The corrected value is $2 n$ and its uncertainty is $2 \\sqrt{n}$. Note that the detector inefficiency increases the error by a factor of $\\sqrt{2}$ relative to a perfect detector (which would have an error of $\\sqrt{2 n}$)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
"In order to estimate probability density, we convert each bin count $n_i$ into a corresponding density\n",
"$$\n",
"\\rho_i = \\frac{n_i}{N \\left(b_i - b_{i-1}\\right)}\n",
@@ -165,26 +195,26 @@
"$$\n",
"\\sum_{i=1}^B \\rho_i (b_i - b_{i-1}) \\simeq \\int \\rho(x)\\,dx = 1 \\; .\n",
"$$\n",
- "Use `normed=True` with `plt.hist` or `norm_hist=True` with `sns.distplot` to request this convention.\n",
+ "Use `density=True` with `plt.hist` or `norm_hist=True` with `sns.distplot` to request this convention.\n",
"\n",
"Histogram bins are often equally spaced,\n",
"$$\n",
"b_i = x_{\\min} + (x_{\\max} - x_{\\min}) \\frac{i}{B} \\quad , \\quad i = 0, 1, \\ldots, B \\; .\n",
"$$\n",
- "However, this is not necessary and non-uniform binning (e.g., logarithmic spacing) can be more effective when sample density varies significantly.\n",
+ "However, this is not necessary and non-uniform binning (e.g., logarithmic spacing) can be more effective when sample density varies significantly. (What is the best way to display a histogram with non-uniform bins?)\n",
"\n",
"We will use the following function to compare histograms with other density estimators (as usual, you can ignore the details):"
]
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
- "def estimate_density1d(X, limits=(0, 15), bins=16, kernels=None):\n",
+ "def estimate_density1d(X, limits=(0, 15), bins=15, kernels=None):\n",
" # Prepare the fixed binning to use.\n",
- " bins = np.linspace(*limits, bins) if bins else None\n",
+ " bins = np.linspace(*limits, bins + 1) if bins else None\n",
" # Plot a conventional histogram.\n",
" sns.distplot(X, rug=(len(X) < 50), kde=False, bins=bins,\n",
" norm_hist=True, rug_kws=dict(lw=4), label='hist')\n",
@@ -193,7 +223,7 @@
" bw = 0.5 * (bins[1] - bins[0])\n",
" x_smooth = np.linspace(*limits, 500)\n",
" for kernel in kernels.split(','):\n",
- " fit = neighbors.kde.KernelDensity(kernel=kernel, bandwidth=bw).fit(X)\n",
+ " fit = neighbors.KernelDensity(kernel=kernel, bandwidth=bw).fit(X)\n",
" y_smooth = np.exp(fit.score_samples(x_smooth.reshape(-1, 1)))\n",
" plt.plot(x_smooth, y_smooth, label=kernel)\n",
" plt.xlim(*limits)\n",
@@ -210,14 +240,14 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -335,7 +365,9 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "**NOTE:** this **kernel** is not the same as the **kernel functions** we discussed earlier:\n",
+ "Your choice of kernel effectively makes an a-priori assumption about the solution to the density estimation problem, thus allowing us to solve a problem that would otherwise be under-determined. This general strategy is known as **regularization** and appears (in different forms) in many machine learning methods.\n",
+ "\n",
+ "**NOTE:** this **kernel** is not the same as the **kernel functions** covered in the [nonlinear notebook](Nonlinear.ipynb):\n",
" - **kernel:** centered function used to \"spreads\" each sample for a density estimate.\n",
" - **kernel function:** similarity measure used to efficiently compute dot products in a higher-dimensional space."
]
@@ -349,14 +381,14 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -454,7 +486,7 @@
}
],
"source": [
- "estimate_density1d(blobs1d.iloc[:3], kernels='tophat,gaussian,cosine', bins=8)"
+ "estimate_density1d(blobs1d.iloc[:3], kernels='tophat,gaussian,cosine', bins=7)"
]
},
{
@@ -475,7 +507,7 @@
"solution2": "hidden"
},
"source": [
- "The purpose of the kernel is to spread each sample to fill in the gaps due to finite data. In other words, we are approximating what we would expect to measure with an infinite dataset. With this picture, the bandwidth should be related to the mean gap size, which should ~halve when the sample size is doubled.\n",
+ "The purpose of the kernel is to spread each sample to fill in the gaps due to finite data. In other words, we are estimating what we would expect to measure with an infinite dataset. With this picture, the bandwidth should be related to the mean gap size, which should ~halve when the sample size is doubled.\n",
"\n",
"Just knowing that the probability density has changed does not provide any guidance on how to change the bandwidth. However, we might also know *how* it has changed by looking at the data. For example, if the data appears much smoother, then increasing the bandwidth would be justified. Conversely, data with sharp edges or narrow peaks would benefit from a smaller bandwidth to preserve those features."
]
@@ -505,14 +537,14 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -709,7 +720,7 @@
}
],
"source": [
- "sns.jointplot('x0', 'x1', blobs_data.iloc[:100], kind='scatter')"
+ "sns.jointplot('x0', 'x1', blobs_data.iloc[:100], kind='scatter');"
]
},
{
@@ -720,7 +731,7 @@
"\n",
"There are more sophisticated implementations of KDE that use the data itself to estimate kernels that are neither isotropic or homogeneous, e.g., in the [statsmodels package](http://www.statsmodels.org/devel/generated/statsmodels.nonparametric.kernel_density.KDEMultivariate.html). For an in-depth comparison of sklearn KDE with other python implementations, see [this blog post](https://jakevdp.github.io/blog/2013/12/01/kernel-density-estimation/).\n",
"\n",
- "However, there is no magic in KDE and the problem is fundamentally error prone so using simpler methods whose limitations are easier to understand is often preferable. The best way to improve any density estimate is always to add more data!"
+ "However, there is no magic in KDE and the problem is fundamentally under-determined, so using simpler methods whose limitations are easier to understand is often preferable. The best way to improve any density estimate is always to add more data!"
]
},
{
@@ -791,7 +802,7 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
@@ -807,16 +818,16 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "array([ 8.91534159e-03, 2.43144309e-03, 2.90695614e-17])"
+ "array([8.91534159e-03, 2.43144309e-03, 2.90695614e-17])"
]
},
- "execution_count": 27,
+ "execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
@@ -827,20 +838,21 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "(array([[ 3.35920221, 6.8992151 , 6.23358241],\n",
- " [ 5.28533637, 9.77821911, 3.46514107],\n",
- " [ 4.33487451, 5.45480832, 6.40348508],\n",
- " [ 11.67026099, 5.06293373, 15.01944708],\n",
- " [ 5.59172048, 6.00763012, 8.64144266]]), array([0, 0, 0, 1, 2]))"
+ "(array([[ 3.35920221, 6.8992151 , 6.23358241],\n",
+ " [ 5.28533637, 9.77821911, 3.46514107],\n",
+ " [ 4.33487451, 5.45480832, 6.40348508],\n",
+ " [11.67026099, 5.06293373, 15.01944708],\n",
+ " [ 5.59172048, 6.00763012, 8.64144266]]),\n",
+ " array([0, 0, 0, 1, 2]))"
]
},
- "execution_count": 28,
+ "execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
@@ -864,12 +876,12 @@
"solution2_first": true
},
"source": [
- "**EXERCISE:** Perform a 3-component 1D GMM fit to `blobs1d` and make a plot to compare with a KDE fit using a Gaussian kernel with bandwidth of 0.5. (Hint: refer to `estimate_density1d` above)."
+ "**EXERCISE:** Perform a 3-component 1D GMM fit to `blobs1d` and make a plot to compare your GMM fit with a KDE fit to the same data (using a Gaussian kernel with bandwidth of 0.5). Hint: refer to `estimate_density1d` above."
]
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": 30,
"metadata": {
"solution2": "hidden"
},
@@ -877,18 +889,18 @@
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 29,
+ "execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"GMM_fit(blobs_data, 3)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Use `entropy=True` for an alternative visualization where points are colored according to how confidently they can be assigned to a single Gaussian component, with darker colors to indicate the most ambiguous samples. We use [entropy](https://en.wikipedia.org/wiki/Entropy_\\(information_theory\\)) as the measure of ambiguity.\n",
+ "\n",
+ "(Why are only some of the points in the overlap regions considered ambiguous?)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "AIC = 23357.804, BIC = 23520.230\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "GMM_fit(blobs_data, 3, entropy=True)"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -1003,7 +1069,7 @@
"solution2_first": true
},
"source": [
- "**EXERCISE:** Fit the `cluster_data` loaded above, which is example (d) from earlier. Try different numbers of components to get a reasonable fit by eye. How do the printed values of AIC and BIC track the visual \"goodness of fit\"?"
+ "**EXERCISE:** Fit the `cluster_data` loaded above using `GMM_fit()`. Try different numbers of components to get a reasonable fit by eye. How do the printed values of AIC and BIC track the visual \"goodness of fit\"?"
]
},
{
@@ -1017,7 +1083,7 @@
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": 36,
"metadata": {
"scrolled": false,
"solution2": "hidden"
@@ -1027,14 +1093,14 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "AIC = 3187.705, BIC = 3436.367\n"
+ "AIC = 3172.084, BIC = 3420.746\n"
]
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -390,7 +374,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
@@ -415,7 +399,7 @@
"\n",
"The $N\\times d$ matrix $Y$ is a reduced representation of the original data $X$, with $d < D$ new features that are linear combinations of the original $D$ feature. We call the new features \"latent variables\", since they were already present in $X$ but only implicitly.\n",
"\n",
- "The $d\\times D$ matrix $M$ specifies the relationship between the old and new features: each column is unit vector for a new feature in terms of the old features. Note that $M$ is not square when $d < D$ and unit vectors are generally not mutually orthogonal (except for the PCA method)."
+ "The $d\\times D$ matrix $M$ specifies the relationship between the old and new features: each column is a unit vector for a new feature in terms of the old features. Note that $M$ is not square when $d < D$ and unit vectors are generally not mutually orthogonal (except for the PCA method)."
]
},
{
@@ -442,18 +426,18 @@
"```\n",
"except for FastICA, where `M = fit.mixing_.T`.\n",
"\n",
- "When $d < D$, we refer to the decomposition as a \"dimensionality reduction\". A useful visualization of how effectively the latent variables capture the interesting information in the original data is to reconstruct the original data using:\n",
- "```\n",
- "X' = Y M\n",
- "```\n",
- "and compare rows (samples) of $X'$ with the original $X$. They will not agree exactly, but if the differences seem uninteresting (e.g., look like noise), then the dimensionality reduction was successful and you can use $Y$ instead of $X$ for subsequent analysis.\n",
+ "When $d < D$, we refer to the decomposition as a \"dimensionality reduction\". A useful visualization of how effectively the latent variables capture the interesting information in the original data is to calculate:\n",
+ "$$\n",
+ "X' = Y M \\; ,\n",
+ "$$\n",
+ "which approximately reconstructs the original data, and compare rows (samples) of $X'$ with the original $X$. They will not agree exactly, but if the differences seem uninteresting (e.g., look like noise), then the dimensionality reduction was successful and you can use $Y$ instead of $X$ for subsequent analysis.\n",
"\n",
"We will use the function below to demonstrate each of these in turn (but you can ignore its details unless you are interested):"
]
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
@@ -462,17 +446,21 @@
" X = data.values\n",
" N, D = X.shape\n",
" \n",
- " if method is 'NMF':\n",
+ " if method == 'NMF':\n",
" # All data must be positive.\n",
" assert np.all(X > 0)\n",
" # Analysis includes the mean.\n",
" mu = np.zeros(D)\n",
" else:\n",
" mu = np.mean(X, axis=0)\n",
- " fit = eval('decomposition.' + method)(n_components=d).fit(X)\n",
+ " \n",
+ " kwargs = dict(n_components=d)\n",
+ " if method == 'NMF':\n",
+ " kwargs['max_iter'] = 500\n",
+ " fit = eval('decomposition.' + method)(**kwargs).fit(X)\n",
" \n",
" # Check that decomposition has the expected shape.\n",
- " if method is 'FastICA':\n",
+ " if method == 'FastICA':\n",
" M = fit.mixing_.T\n",
" else:\n",
" M = fit.components_\n",
@@ -492,8 +480,8 @@
" # Compare a few samples from X and Xr.\n",
" fig = plt.figure(figsize=(8.5, 4))\n",
" for i,c in zip((0, 6, 7), sns.color_palette()):\n",
- " plt.plot(X[i], '.', c=c, ms=5)\n",
- " plt.plot(Xr[i], '-', c=c)\n",
+ " plt.plot(X[i], '.', c=c, ms=3, alpha=0.5)\n",
+ " plt.plot(Xr[i], '-', c=c, lw=2)\n",
" plt.xlim(-0.5, D+0.5)\n",
" plt.xlabel('Feature #')\n",
" plt.ylabel('Feature Value')\n",
@@ -519,7 +507,7 @@
"C = \\frac{1}{N-1}\\, X^T X\n",
"$$\n",
"which is an [empirical estimate](https://en.wikipedia.org/wiki/Covariance#Calculating_the_sample_covariance) of the covariance matrix for the data.\n",
- "- Construct $M$ out of eigenvectors ordered by decreasing eigenvalue (which are all positive) and solve the resulting linear equations for $Y$. At this point the decomposition is exact with $d = D$.\n",
+ "- Construct $M$ out of the eigenvectors, ordered by decreasing eigenvalue (which are all positive) and solve the resulting linear equations for $Y$. At this point the decomposition is exact with $d = D$.\n",
"- Shrink $Y$ and $M$ from $D$ to $d$ rows ($M$) or columns ($Y$), which makes the decomposition approximate while discarding the least amount of variance in the original data (which we use as a proxy for \"useful information\").\n",
"\n",
"\n",
@@ -543,14 +531,14 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -832,14 +820,17 @@
" N, D = X.shape\n",
" fig = plt.figure(figsize=(8.5, 4))\n",
" for j, method in enumerate(('PCA', 'FactorAnalysis', 'NMF', 'FastICA')):\n",
- " if method is 'NMF':\n",
+ " if method == 'NMF':\n",
" d = 3\n",
" mu = np.zeros(D)\n",
" else:\n",
" d = 2\n",
" mu = np.mean(X, axis=0)\n",
- " fit = eval('decomposition.' + method)(n_components=d).fit(X - mu)\n",
- " M = fit.mixing_.T if method is 'FastICA' else fit.components_\n",
+ " kwargs = dict(n_components=d)\n",
+ " if method == 'NMF':\n",
+ " kwargs['max_iter'] = 500\n",
+ " fit = eval('decomposition.' + method)(**kwargs).fit(X - mu)\n",
+ " M = fit.mixing_.T if method == 'FastICA' else fit.components_\n",
" for i in range(d):\n",
" unitvec = M[i] / M[i].sum()\n",
" plt.plot(unitvec, label=method, c=sns.color_palette()[j], ls=('-', '--', ':')[i])\n",
@@ -851,84 +842,101 @@
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
+ "metadata": {},
"source": [
- "**EXERCISE:** Use the `demo()` function with `data=pong_data` and $d = 1, 2, 3,\\ldots$ to determine how many latent variables are necessary to give a good reconstruction. Do the 1D plots of individual `pong_data` samples make sense?"
+ "## Weighted PCA"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "Two latent variables ($d=2$) are sufficient for a good reconstruction. This is not surprising since we already saw that a PCA visualization of this $D=20$ dimensional is well represented by a 2D manifold.\n",
+ "The linear algorithms presented above work fine with noisy data, but have no way to take advantage of data that includes its own estimate of the noise level. In the most general case, each element of the data matrix $X$ has a corresponding RMS error estimate $\\delta X$, with values $\\rightarrow\\infty$ used to indicate missing data. In practice, it is convenient to replace $\\delta X$ with a matrix of weights $W$ where zero values indicate missing data. For data with Gaussian errors, $X_{ij} \\pm \\delta X_{ij}$, the appropriate weight is usually the *inverse variance* $I \\equiv \\delta X_{ij}^{-2}$.\n",
"\n",
- "The abrupt transition at feature 10 in the reconstructed samples is because features 0-9 are ~linearly increasing x values, while features 10-19 are the corresponding ~parabolic y values. Note that this dataset has negligible noise compared with `spectra_data`."
+ "[Delchambre 2015](https://arxiv.org/abs/1412.4533) reviews several approaches for calculating principal components of weighted data, and proposes a new scheme where, instead of subtracting the usual mean, we subtract a weighted mean,\n",
+ "$$\n",
+ "\\mu_j = \\frac{\\sum_{i=1}^N W_{ij} X_{ij}}{\\sum_{i=1}^N W_{ij}} \\; ,\n",
+ "$$\n",
+ "with $W = \\sqrt{I}$, and, instead of decomposing $C = X^T X$, we decompose\n",
+ "$$\n",
+ "C = \\frac{(W X)^T (W X)}{W^T W} \\; .\n",
+ "$$\n",
+ "\n",
+ "The class below implements this scheme following the same API as the sklearn PCA class:"
]
},
{
"cell_type": "code",
- "execution_count": 20,
- "metadata": {
- "solution2": "hidden"
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- },
- {
- "data": {
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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "demo('PCA', d=2, data=pong_data)"
- ]
- },
- {
- "cell_type": "markdown",
+ "execution_count": 19,
"metadata": {},
+ "outputs": [],
"source": [
- "## Weighted PCA"
+ "# Use scipy.linalg.eigh instead of np.linalg.eigh since it allows us to only\n",
+ "# find the eigenvectors with the largest eigenvalues.\n",
+ "import scipy.linalg\n",
+ "\n",
+ "class WeightedPCA(object):\n",
+ " \"\"\"Implements the weighted PCA scheme of Delchambre 2015.\n",
+ " \n",
+ " See https://arxiv.org/abs/1412.4533 and the more complete implementation\n",
+ " in https://github.com/jakevdp/wpca.\n",
+ " \"\"\"\n",
+ " def __init__(self, n_components):\n",
+ " self.n_components = n_components\n",
+ " \n",
+ " def prepare(self, X, ivar=None):\n",
+ " if ivar is None:\n",
+ " W = np.ones_like(X)\n",
+ " else:\n",
+ " assert np.all(ivar >= 0)\n",
+ " W = np.sqrt(ivar)\n",
+ " # Calculate the weighted mean of the data using eqn (2).\n",
+ " self.mu = np.sum(W * X, axis=0) / np.sum(W, axis=0)\n",
+ " # Subtract the weighted mean from the data.\n",
+ " X = X - self.mu\n",
+ " # Apply weights to the (mean subtracted) data.\n",
+ " X *= W\n",
+ " return X, W\n",
+ "\n",
+ " def fit(self, X, ivar=None):\n",
+ " X, W = self.prepare(X, ivar)\n",
+ " # Calculate the weighted covariance.\n",
+ " C = np.dot(X.T, X)\n",
+ " C /= np.dot(W.T, W)\n",
+ " # Find the eigenvectors and eigenvalues of C.\n",
+ " _, D = X.shape\n",
+ " evals, evecs = scipy.linalg.eigh(C, eigvals=(D - self.n_components, D - 1))\n",
+ " # Save the results.\n",
+ " self.components_ = evecs[:, ::-1].T\n",
+ " return self\n",
+ " \n",
+ " def transform(self, X, ivar=None):\n",
+ " X, W = self.prepare(X, ivar)\n",
+ " N, _ = X.shape\n",
+ " Y = np.zeros((N, self.n_components))\n",
+ " for i in range(N):\n",
+ " cW = self.components_ * W[i]\n",
+ " cWX = np.dot(cW, X[i])\n",
+ " cWc = np.dot(cW, cW.T)\n",
+ " Y[i] = np.linalg.solve(cWc, cWX)\n",
+ " return Y\n",
+ " \n",
+ " def inverse_transform(self, X):\n",
+ " return self.mu + np.dot(X, self.components_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The linear algorithms presented above work fine with noisy data, but have no way to take advantage of data that includes its own estimate of the noise level. In the most general case, each element of the data matrix $X$ has a corresponding RMS error estimate $\\delta X$, with values $\\rightarrow\\infty$ used to indicate missing data. In practice, it is convenient to replace $\\delta X$ with a matrix of weights $W$ where zero values indicate missing data. For data with Gaussian errors, $X_{ij} \\pm \\delta X_{ij}$, the appropriate weight is usually the *inverse variance* $W_{ij} = \\delta X_{ij}^{-2}$.\n",
- "\n",
- "The [wpca package](https://github.com/jakevdp/wpca) implements two different schemes to incorporate weights into PCA, which give similar results to each other. Both schemes are used almost identically to sklearn PCA, but with an additional `weights` argument (method = `wpca.WPCA` or `wpca.EMPCA`):\n",
- "```\n",
- "fit = method(n_components=d).fit(X, weights=W)\n",
- "```\n",
- "Unfortunately, `wpca.WPCA` expects `weights=np.sqrt(W)` but this might be [fixed soon](https://github.com/jakevdp/wpca/issues/2).\n",
- "\n",
- "To study these schemes, we will assign weights to `spectra_data` by assuming that each value $X_{ij}$ is the result of a Poisson process so has inverse variance $W_{ij} = X_{ij}^{-1}$.\n",
+ "To study these schemes, we will assign weights to `spectra_data` by assuming that each value $X_{ij}$ is the result of a Poisson process so has inverse variance $I = X_{ij}^{-1}$.\n",
"\n",
"The function below allows us to optionally add extra noise that varies across the spectra and remove random chunks of data (by setting their weights to zero). As usual, ignore the details of this function unless you are interested."
]
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
@@ -937,32 +945,30 @@
" X = data.values.copy()\n",
" N, D = X.shape\n",
" # Calculate inverse variances assuming Poisson fluctuations in X.\n",
- " W = X ** -1\n",
+ " ivar = X ** -1\n",
" # Add some Gaussian noise with a linearly varying RMS, if requested.\n",
" if add_noise:\n",
" start, stop = add_noise\n",
" assert start >= 0 and stop >= 0\n",
" extra_rms = np.linspace(start, stop, D)\n",
- " W = (X + extra_rms ** 2) ** -1\n",
+ " ivar = (X + extra_rms ** 2) ** -1\n",
" X += gen.normal(scale=extra_rms, size=X.shape)\n",
- " else:\n",
- " W = X ** -1\n",
" # Remove some fraction of data from each sample, if requested.\n",
" if missing:\n",
" assert 0 < missing < 0.5\n",
" start = gen.uniform(high=(1 - missing) * D, size=N).astype(int)\n",
" stop = (start + missing * D).astype(int)\n",
" for i in range(N):\n",
- " X[i, start[i]:stop[i]] = W[i, start[i]:stop[i]] = 0.\n",
+ " X[i, start[i]:stop[i]] = ivar[i, start[i]:stop[i]] = 0.\n",
" # Perform the fit.\n",
- " fit = wpca.WPCA(n_components=d).fit(X, weights=np.sqrt(W))\n",
- " Y = fit.transform(X, weights=np.sqrt(W))\n",
+ " fit = WeightedPCA(n_components=d).fit(X, ivar)\n",
+ " Y = fit.transform(X, ivar)\n",
" Xr = fit.inverse_transform(Y)\n",
" # Show the reconstruction of some samples.\n",
" fig = plt.figure(figsize=(8.5, 4))\n",
" for i,c in zip((0, 6, 7), sns.color_palette()):\n",
- " plt.plot(X[i], '.', c=c, ms=5)\n",
- " plt.plot(Xr[i], '-', c=c)\n",
+ " plt.plot(X[i], '.', c=c, ms=3, alpha=0.5)\n",
+ " plt.plot(Xr[i], '-', c=c, lw=2)\n",
" plt.xlim(-0.5, D+0.5)\n",
" plt.xlabel('Feature #')\n",
" plt.ylabel('Feature Value')"
@@ -977,14 +983,14 @@
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -999,19 +1005,19 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "Next, increase the noise across the spectrum. The larger errors makes the principal components harder to nail down, leading to noisier reconstructions:"
+ "Next, vary the noise level over the spectrum. The larger errors makes the principal components harder to nail down, leading to noisier reconstructions:"
]
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -1068,6 +1074,41 @@
"source": [
"weighted_pca(d=2, missing=0.1, seed=2)"
]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Non-Linear Dimensionality Reduction"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The methods above find latent variables that are linear functions of the original features.\n",
+ "\n",
+ "There are also non-linear methods:\n",
+ " - When they work, the results are [spectacular](https://scikit-learn.org/stable/modules/manifold.html) (see also [here](https://scikit-learn.org/stable/auto_examples/decomposition/plot_kernel_pca.html)).\n",
+ " - However, they are generally [very sensitive to your choice of hyperparameters](https://github.com/scikit-learn/scikit-learn/issues/10530).\n",
+ " - I recommend that you always start with a linear method and only prefer a non-linear model if it has clearly better performance and gives consistent and robust results.\n",
+ "\n",
+ "For a deeper dive into non-linear methods, see [this notebook](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Nonlinear.ipynb). One key idea is the \"kernel trick\", which is also central to the power of neural networks."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Model-Driven Compression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Most dimensionality reduction methods assume that variance is a good proxy for \"information\". However, when you have a good generative model of your data, you can do much better. In particular, there is an optimal compression algorithm for data generated by a model with $n$ parameters that will reduce your whole dataset down to $n$ numbers! See this [2018 paper](https://doi.org/10.1093/mnras/sty819) for details."
+ ]
}
],
"metadata": {
@@ -1086,7 +1127,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.8.5"
}
},
"nbformat": 4,
diff --git a/notebooks/ExpectationMaximization.ipynb b/notebooks/ExpectationMaximization.ipynb
new file mode 100644
index 0000000..4012469
--- /dev/null
+++ b/notebooks/ExpectationMaximization.ipynb
@@ -0,0 +1,359 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Machine Learning and Statistics for Physicists"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**This notebook is still in development.**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n",
+ "\n",
+ "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
+ "\n",
+ "[Table of contents](Contents.ipynb)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns; sns.set()\n",
+ "import numpy as np\n",
+ "import pandas as pd"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We have already encountered algorithms based on expectation-maximization (EM) for clustering (KMeans) and density estimation (GMM). In this notebook, we develop the general theory of EM, which builds on some ideas from [optimization](Optimization.ipynb) and [variational inference](Variational.ipynb)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Maximum-Likelihood Optimization"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Suppose we can write down a joint likelihood $P(X,Y\\mid \\Theta)$ but only observe $Y$, with the marginal likelihood\n",
+ "$$\n",
+ "P(Y\\mid \\Theta) = \\int P(X, Y\\mid\\Theta)\\, dX \\; .\n",
+ "$$\n",
+ "The **Expectation-Maximization** method solves the maximum-likelihood optimization problem\n",
+ "$$\n",
+ "\\Theta_{ML} = \\underset{\\Theta}{\\mathrm{argmin}}\\,\\left[ -\\log P(Y\\mid\\Theta) \\right]\n",
+ "$$\n",
+ "with an alternating sequence of E-steps and M-steps.\n",
+ "\n",
+ "The key idea is to use an upper bound for the marginal negative-log-likelihood by introducing an arbitrary distribution $Q(X)$ over the unobserved $X$:\n",
+ "$$\n",
+ "\\begin{aligned}\n",
+ "-\\log P(Y\\mid \\Theta) &= -\\log \\int Q(X)\\, \\frac{P(X, Y\\mid\\Theta)}{Q(X)}\\, dX \\\\\n",
+ "&\\le -\\int Q(X) \\log \\frac{P(X, Y\\mid\\Theta)}{Q(X)} \\, dX\n",
+ "\\end{aligned}\n",
+ "$$\n",
+ "where we apply Jensen's inequality to the concave function $f(z) = -\\log z$ to obtain the upper bound."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This result holds for any $Q(X)$, but is most useful when the upper bound is \"tight\". Given observed $Y$, we can construct $Q(X)$ to achieve equality at $\\Theta=\\Theta_0$ using:\n",
+ "$$\n",
+ "Q(X) = P(X\\mid Y,\\Theta_0) = \\frac{P(X, Y\\mid\\Theta_0)}{P(Y\\mid\\Theta_0)} \\; .\n",
+ "$$\n",
+ "The calculation of this $Q(X)$ given the observed $Y$ and assumed $\\Theta_0$ is the **E-step**: it uses the current $\\Theta_0$ to estimate the distribution of the unobserved $X$.\n",
+ "\n",
+ "The **M-step** consists of optimizing the upper bound with respect to $\\Theta$ using the $Q(x)$ obtained from the the most recent E-step. The result is our new $\\Theta_0$:\n",
+ "$$\n",
+ "\\Theta_0 \\leftarrow \\underset{\\Theta}{\\mathrm{argmin}}\\, \\left[\n",
+ "-\\int Q(X) \\log \\frac{P(X, Y\\mid\\Theta)}{Q(X)} \\, dX \\right]\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Plugging the $Q(x)$ above into the lower bound, we find:\n",
+ "$$\n",
+ "\\begin{aligned}\n",
+ "-\\log P(Y\\mid \\Theta) &\\le\n",
+ "-\\int Q(X) \\log \\frac{P(X, Y\\mid\\Theta)}{Q(X)} \\, dX \\\\\n",
+ "&= -\\int \\frac{P(X,Y\\mid\\Theta_0)}{P(Y\\mid\\Theta_0)} \\log\\left[\n",
+ "\\frac{P(X,Y\\mid\\Theta)}{P(X,Y\\mid\\Theta_0)}\\, P(Y\\mid\\Theta_0)\\right]\\,dX \\\\\n",
+ "&= -\\frac{1}{P(Y\\mid\\Theta_0)} \\int P(X,Y\\mid\\Theta_0) \\left[\n",
+ "\\log \\frac{P(X,Y\\mid\\Theta)}{P(X,Y\\mid\\Theta_0)} + \\log P(Y\\mid\\Theta_0)\\right]\\,dX \\\\\n",
+ "&= -\\log P(Y\\mid\\Theta_0) - \\frac{1}{P(Y\\mid\\Theta_0)}\n",
+ "\\int P(X,Y\\mid\\Theta_0) \\log \\frac{P(X,Y\\mid\\Theta)}{P(X,Y\\mid\\Theta_0)}\\,dX \\\\\n",
+ "\\end{aligned}\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Since $P(Y\\mid\\Theta_0)$ is a positive constant, minimizing this lower bound is equivalent to minimizing the simpler quantity\n",
+ "$$\n",
+ "-\\int P(X, Y\\mid\\Theta_0) \\log \\frac{P(X, Y\\mid\\Theta)}{P(X, Y\\mid\\Theta_0)}\\, dX\n",
+ "= \\text{KL}\\left[P(X, Y\\mid\\Theta_0) \\parallel P(X, Y\\mid\\Theta) \\right] \\; ,\n",
+ "$$\n",
+ "which we recognize as the KL divergence between the joint probabilities with $\\Theta$ fixed or floating."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### E-M Example"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For example, suppose $(X,Y)$ are points along a line passing through the origin described by a slope parameter $\\Theta$, with homescedastic errors $\\sigma_y$ in $y$, and $|x| \\le L$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def generate(n=100, theta=2.5, L=1.5, sigma_y=0.2, seed=123):\n",
+ " gen = np.random.RandomState(seed=seed)\n",
+ " X = gen.uniform(-L, +L, n)\n",
+ " Y = theta * X + sigma_y * gen.normal(size=n)\n",
+ " return X, Y\n",
+ " \n",
+ "X, Y = generate()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 28,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(X, Y)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The joint likelihood of a single sample $(x, y)$ is:\n",
+ "$$\n",
+ "P(X, Y\\mid\\Theta) = \\frac{1}{\\sqrt{2\\pi}\\sigma_y} \\exp\\left[\n",
+ "-\\frac{(\\theta x - y)^2}{2 \\sigma_y^2}\\right]\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_joint(theta=2.5, L=1.5, sigma_y=0.2, ylim=5):\n",
+ " x = np.linspace(-L, +L, 51)\n",
+ " y = np.linspace(-ylim, +ylim, 51).reshape(-1, 1)\n",
+ " logL = -0.5 * sigma_y ** -2 * (theta * x - y) ** 2\n",
+ " plt.imshow(logL, interpolation='none', extent=(x[0], x[-1], y[0], y[-1]),\n",
+ " aspect='auto', origin='lower')\n",
+ " plt.scatter(X, Y)\n",
+ " plt.xlim(-1, 1)\n",
+ " plt.grid(False)\n",
+ " \n",
+ "plot_joint()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "with a marginal likelihood:\n",
+ "$$\n",
+ "P(Y\\mid\\Theta) = \\frac{1}{2 c_1} \\left[\n",
+ "\\text{erf}\\left(\\frac{\\theta L - y}{\\sqrt{2}\\sigma_y}\\right) +\n",
+ "\\text{erf}\\left(\\frac{\\theta L + y}{\\sqrt{2}\\sigma_y}\\right)\n",
+ "\\right]\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The EM method uses a lower bound for the marginal likelihood by introducing an arbitrary distribution $Q(X)$ over the unobserved $X$:\n",
+ "$$\n",
+ "\\begin{aligned}\n",
+ "\\log P(Y\\mid \\Theta) &= \\log \\int Q(X)\\, \\frac{P(X, Y\\mid\\Theta)}{Q(X)}\\, dX \\\\\n",
+ "&\\ge \\int Q(X) \\log \\frac{P(X, Y\\mid\\Theta)}{Q(X)} \\, dX\n",
+ "\\end{aligned}\n",
+ "$$\n",
+ "where we apply Jensen's inequality to the convex log function to obtain the lower bound."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from scipy.special import erf"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def log_marginal(theta, y, L=1.5, sigma_y=0.2):\n",
+ " denom = np.sqrt(2) * sigma_y\n",
+ " return np.log(0.5 / theta * (erf((theta * L - y) / denom) + erf((theta * L + y) / denom)))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def log_bound(theta, y, Q, L=1.5, sigma_y=0.2):\n",
+ " x = np.linspace(-L, +L, 201).reshape(-1, 1)\n",
+ " Qx = Q(x)\n",
+ " print(x.shape, Qx.shape)\n",
+ " Qx /= np.trapz(Qx, x, axis=0)\n",
+ " logPxy = -0.5 * (theta * x - y) ** 2 / sigma_y ** 2 - 0.5 * np.log(2 * np.pi * sigma_y ** 2)\n",
+ " integrand = Qx * (logPxy - np.log(Qx))\n",
+ " return np.trapz(integrand, x, axis=0)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 52,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(201, 1) (201, 1)\n",
+ "(201, 1) (201, 1)\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_Estep(y=1):\n",
+ " theta = np.linspace(-1, 3, 51)\n",
+ " m = log_marginal(theta, y)\n",
+ " plt.plot(theta, m, 'k-')\n",
+ " Q = lambda x: 1 + 0. * x\n",
+ " b = log_bound(theta, y, Q)\n",
+ " plt.plot(theta, b, 'r--', label='Q flat')\n",
+ " Q = lambda x: -(x - 1) ** 2\n",
+ " b = log_bound(theta, y, Q)\n",
+ " plt.plot(theta, b, 'r:', label='Q gauss')\n",
+ " plt.legend()\n",
+ " \n",
+ "plot_Estep()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {},
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.6.7"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/notebooks/Homework.ipynb b/notebooks/Homework.ipynb
index 17f1678..402aab9 100644
--- a/notebooks/Homework.ipynb
+++ b/notebooks/Homework.ipynb
@@ -15,7 +15,7 @@
"\n",
"Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
"\n",
- "[Table of contents](Contents.ipynb)"
+ "##### ► [View table of contents](Contents.ipynb)"
]
},
{
@@ -31,16 +31,14 @@
"source": [
"Homework assignments for this course are jupyter notebooks created and managed with [nbgrader](http://nbgrader.readthedocs.io/en/latest/index.html).\n",
"\n",
- "The following homework is available now. Update your course material to see new assignments as they are added later.\n",
- "- [Homework 1](homework/Homework1.ipynb): Numerical python and data handling\n",
- "- [Homework 2](homework/Homework2.ipynb): Data visualization\n",
- "- [Homework 3](homework/Homework3.ipynb): Clustering and dimensionality reduction\n",
- "- [Homework 4](homework/Homework4.ipynb): Nonlinear methods and density estimation\n",
- "- [Homework 5](homework/Homework5.ipynb): Probability and statistics\n",
- "- [Homework 6](homework/Homework6.ipynb): Bayesian inference\n",
- "- [Homework 7](homework/Homework7.ipynb): Markov-chain Monte Carlo\n",
- "- [Homework 8](homework/Homework8.ipynb): Supervised learning and neural networks\n",
- "\n",
+ "The homework assigned so far is listed below (check back for updates each week):\n",
+ " - [Homework1](homework/Homework1.ipynb)\n",
+ " - [Homework2](homework/Homework2.ipynb)\n",
+ " - [Homework3](homework/Homework3.ipynb)\n",
+ " - [Homework4](homework/Homework4.ipynb)\n",
+ " - [Homework5](homework/Homework5.ipynb)\n",
+ " - [Homework6](homework/Homework6.ipynb)\n",
+ " \n",
"**Remember to always work on a copy of each homework assignment (see details below).**"
]
},
@@ -78,7 +76,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "**Copy each homework notebook from `MachineLearningStats/notebooks/homework/` to your homework directory before you start working on it (so your work is not lost when you later update `MachineLearningStats`.)**\n",
+ "**Copy each homework notebook from `MachineLearningStatistics/notebooks/homework/` to your homework directory before you start working on it (so your work is not lost when you later update `MachineLearningStats`) but do not change the filename.**\n",
"\n",
"Open your copy of the homework using, for example:\n",
"```\n",
@@ -114,6 +112,8 @@
"\n",
"After uploading your homework, check that it is visible from your personal repo URL and click on it to check its contents.\n",
"\n",
+ "Your uploaded homework should still have a filename like `Homework1.ipynb`. In case you renamed it at some point, you can fix that now by clicking on the edit icon and changing the name.\n",
+ "\n",
"#### Github experts\n",
"\n",
"If you are using a clone of your personal to work on homework, you can submit it with the following git commands:\n",
@@ -141,7 +141,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.5"
}
},
"nbformat": 4,
diff --git a/notebooks/Intro.ipynb b/notebooks/Intro.ipynb
index f53f478..bff367a 100644
--- a/notebooks/Intro.ipynb
+++ b/notebooks/Intro.ipynb
@@ -2,20 +2,42 @@
"cells": [
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
"source": [
"# Machine Learning and Statistics for Physicists"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
"source": [
"Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n",
"\n",
"Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
"\n",
- "[Table of Contents](Contents.ipynb)"
+ "##### ► [View table of contents](Contents.ipynb)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "skip"
+ }
+ },
+ "source": [
+ "This notebook can optionally be viewed as a [slide presentation](https://medium.com/learning-machine-learning/present-your-data-science-projects-with-jupyter-slides-75f20735eb0f). Click [here](https://nbviewer.jupyter.org/format/slides/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Intro.ipynb#/) to view the slides online or, to present the slides locally, use:\n",
+ "```\n",
+ "jupyter nbconvert Intro.ipynb --to slides --post serve\n",
+ "```"
]
},
{
@@ -30,25 +52,85 @@
"metadata": {},
"source": [
"**ACTIVITY:** Discuss these questions:\n",
- "1. What is a *data scientist*?\n",
- "2. What is the relationship between *machine learning* and *statistics*?\n",
- "3. What is \"deep\" about *deep learning*?\n",
- "4. Does your research focus more on *data* or *models*?"
+ "1. What is the relationship between *machine learning* and *statistics*?\n",
+ "2. Does your research focus more on *data* or *models*?\n",
+ "3. What is a *data scientist*?\n",
+ "4. What is \"deep\" about *deep learning*?"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
"source": [
- ""
+ "### What is \"Machine Learning\"?\n",
+ "\n",
+ "Using **machines** to **learn** how to explain data with models."
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "### What is \"Machine Learning\"?\n",
+ "\n",
+ "Using **machines** to **learn** how to explain data with models.\n",
+ "\n",
+ "The \"machines\" responsible for most of the progress in ML are:\n",
+ " - software algorithms\n",
+ " - hardware architectures\n",
+ " - human ingenuity\n",
+ " \n",
+ "The \"learning\" consists of passively identifying statistical correlations, which is very different from how we learn with active experimentation and identifying causal relationships."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "### What is \"Machine Learning?\"\n",
+ "\n",
+ "Using machines to learn how to explain **data** with **models**.\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
+ "source": [
+ "## What is \"Machine Learning?\"\n",
+ "\n",
+ "Machine learning uses models to learn from data.\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
"source": [
"Further reading:\n",
- "- [Data mining and statistics: what's the connection?](statweb.stanford.edu/~jhf/ftp/dm-stat.pdf)\n",
+ "- [Data mining and statistics: what's the connection?](http://statweb.stanford.edu/~jhf/ftp/dm-stat.pdf)\n",
"- [The rise of the \"data engineer\"](https://medium.com/@maximebeauchemin/the-rise-of-the-data-engineer-91be18f1e603)\n",
"- [Humorous contrasts between ML and Stats](http://statweb.stanford.edu/~tibs/stat315a/glossary.pdf)\n",
" - python$\\leftrightarrow$ R\n",
@@ -57,38 +139,55 @@
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
"source": [
- "### How will this course be different from a CS class?\n",
+ "## What is Data?\n",
"\n",
- "Physics and astronomy students have different preparation:\n",
- "- Strong background and experience with mathematical tools (linear algebra, multivariate calculus) needed for rigorous discussion of statistics.\n",
- "- Weak / varied background in traditional CS core topics of fundamental algorithms, databases, etc\n",
+ "Data is (are?) a finite set of measurements:\n",
+ "- Usually viewed as a 2D table e.g., spreadsheet, [FITS table](http://docs.astropy.org/en/stable/io/fits/usage/table.html), [Pandas dataframe](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.html)...\n",
+ "- **colums = features**\n",
+ "- **rows = samples** (observations)\n",
+ "- richer data structures (images, [ROOT trees](https://root.cern.ch/root/html/guides/users-guide/Trees.html#trees), etc) must be flattened.\n",
"\n",
- "Physics and astronomy research also has different needs:\n",
- "- Our data and models are often fundamentally different from those in typical CS contexts.\n",
- "- We ask different types of questions about our data, sometimes requiring new methods.\n",
- "- We have different priorities for judging a \"good\" method: interpretability, error estimates, etc."
+ ""
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
"source": [
- "### What is Data?\n",
+ "## What is Data?\n",
+ "\n",
+ "Data is (are?) a finite set of measurements:\n",
+ "- Usually viewed as a 2D table e.g., spreadsheet, [FITS table](http://docs.astropy.org/en/stable/io/fits/usage/table.html), [Pandas dataframe](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.html)...\n",
+ "- **colums = features**\n",
+ "- **rows = samples** (observations)\n",
+ "- richer data structures (images, [ROOT trees](https://root.cern.ch/root/html/guides/users-guide/Trees.html#trees), etc) must be flattened.\n",
"\n",
- "Data are a finite set of measurements:\n",
- "- Usually viewed as a 2D table e.g., spreadsheet, [FITS table](http://docs.astropy.org/en/stable/io/fits/usage/table.html), [ROOT tree](https://root.cern.ch/root/html/guides/users-guide/Trees.html#trees), [Pandas dataframe](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.html)...\n",
- "- **colums = features**: numeric / categorical?\n",
- "- **rows = samples**: ordered? independent? identically distributed? (i.i.d.)\n",
- "- measurement errors?\n",
- "- binned / un-binned?\n",
- "- similarity measure on samples?"
+ "Questions to ask about your data:\n",
+ "- Are my features categorical / discrete / continuous?\n",
+ "- Is the ordering of my samples significant?\n",
+ "- Are my samples statistically independent? drawn from the same distribution?\n",
+ "- What are my measurement uncertainties?\n",
+ "- Is my data binned / un-binned?\n",
+ "- Is there a natural similarity / distance measure on my samples (rows)?"
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
"source": [
"**ACTIVITY:** Pick one of these ML problems and describe the rows (samples) and columns (features) of the data you might use to solve the problem.\n",
"1. Learn a fast approximation to a slow exact calculation.\n",
@@ -98,43 +197,150 @@
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
"source": [
- "### What is a Model?\n",
+ "## What is a Model?\n",
+ "\n",
+ "Two important types of models: generative, probabilistic.\n",
+ "\n",
+ "All ML algorithms use a model to explain your data.\n",
+ "\n",
+ "Models have parameters.\n",
"\n",
- "Models specify the probabilities of possible measurements:\n",
- "- Explicit: probability density function.\n",
- "- Implicit: algorithm to generate random outcomes (forward / generative model).\n",
- "- Usually wrong (except \"Toy MC\")\n",
- "- Observables (latent variables):\n",
- " - integrability: required to calculate normalized probabilities.\n",
- "- Parameters (and hyper-parameters):\n",
- " - differentiability: required to find most probable (uphill) direction.\n",
- "- Variance - bias tradeoffs (regularization)."
+ ""
]
},
{
"cell_type": "markdown",
- "metadata": {},
+ "metadata": {
+ "slideshow": {
+ "slide_type": "subslide"
+ }
+ },
"source": [
- "### What is special about ML in physics and astronomy?\n",
+ "## What is a Model?\n",
+ "\n",
+ "Two important types of models: generative, probabilistic.\n",
"\n",
- "- We are data producers, not data consumers:\n",
+ "Models can explain data **and parameters**.\n",
+ "\n",
+ "Models have parameters **and hyper-parameters.**\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## What is Learning?\n",
+ "\n",
+ "Three broad types of learning:\n",
+ " - **Unsupervised: learn to predict new data.**\n",
+ " - Given data: what patterns are present? (learn a model).\n",
+ " - Given data and model: how likely is new data to be from same model? (generate new data).\n",
+ " - **Supervised: Learn to predict specific features of new data.**\n",
+ " - Classification: predict discrete features (learn a conditional model).\n",
+ " - Regression: predict continuous features (learn a conditional model).\n",
+ " - **Inference: explain observed data.**\n",
+ " - Assuming a model: what parameters (with what uncertainties) best describe my data? (learn a model).\n",
+ " - Given competing models: which best describes my data? (model selection).\n",
+ " \n",
+ "(Also: reinforcement learning.)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## What is special about ML in Physics and Astronomy?\n",
+ "\n",
+ "Scientific applications of ML benefit a lot from advances in industry but we work in a different context:\n",
+ "- **We are data producers, not data consumers:**\n",
" - Experiment / survey design.\n",
" - Optimization of statistical errors.\n",
" - Control of systematic errors.\n",
- "- Our data measures physical processes:\n",
+ "- **Our data measures physical processes:**\n",
" - Measurements often reduce to counting photons, etc, with known a-priori random errors.\n",
" - Dimensions and units are important.\n",
- "- Our models are usually traceable to an underlying physical theory:\n",
+ "- **Our models are usually traceable to an underlying physical theory:**\n",
" - Models constrained by theory and previous observations.\n",
" - Parameter values often intrinsically interesting.\n",
- "- A parameter error estimate is just as important as its value:\n",
- " - Prefer methods that handle input data errors (weights) and provide output parameter error estimates."
+ "- **A parameter uncertainty estimate is just as important as its value:**\n",
+ " - Prefer methods that handle input data uncertainties (weights) and provide output parameter uncertainty estimates."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## How will this course be different from a CS class?\n",
+ "\n",
+ "Physics and astronomy students have different preparation:\n",
+ "- Strong background and experience with mathematical tools (linear algebra, multivariate calculus) needed for rigorous discussion of statistics.\n",
+ "- Weak / varied background in traditional CS core topics of fundamental algorithms, databases, etc\n",
+ "\n",
+ "Physics and astronomy research also has different needs:\n",
+ "- Our data and models are often fundamentally different from those in typical CS contexts.\n",
+ "- We ask different types of questions about our data, sometimes requiring new methods.\n",
+ "- We have different priorities for judging a \"good\" method: interpretability, error estimates, etc."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Topics Overview\n",
+ "\n",
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "slideshow": {
+ "slide_type": "slide"
+ }
+ },
+ "source": [
+ "## Exercise\n",
+ "\n",
+ "One of the first tasks when applying machine learning to a new problem is to establish some baselines for the expected performance:\n",
+ " - How well does the simplest possible (non-ML) approach work?\n",
+ " - What is the current \"state of the art\"?\n",
+ " - If applicable: what is the \"human performance\" level?\n",
+ " \n",
+ "Let's get a \"human performance\" baseline for the following supervised-learning problem:\n",
+ "**How many \"sources\" are present in an image?**\n",
+ "\n",
+ "You are now the machines:\n",
+ " - I will show you 36 training images so you can **learn** how to perform this task.\n",
+ " - Next, you must **classify** 12 test images. Enter your responses at https://goo.gl/qi2CEV."
]
}
],
"metadata": {
+ "celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
@@ -150,7 +356,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.5"
}
},
"nbformat": 4,
diff --git a/notebooks/JupyterNumpy.ipynb b/notebooks/JupyterNumpy.ipynb
index 0a653a3..8924340 100644
--- a/notebooks/JupyterNumpy.ipynb
+++ b/notebooks/JupyterNumpy.ipynb
@@ -15,7 +15,7 @@
"\n",
"Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
"\n",
- "[Table of contents](Contents.ipynb)"
+ "##### ► [View table of contents](Contents.ipynb)"
]
},
{
@@ -30,6 +30,7 @@
"metadata": {},
"source": [
"Jupyter is an interactive front-end to a rich ecosystem of python packages that support machine learning and data science tasks. We will use the core set of packages shown below for this course:\n",
+ "\n",
""
]
},
@@ -76,10 +77,10 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "matplotlib 2.1.1\n",
- "seaborn 0.8.1\n",
- "numpy 1.13.3\n",
- "pandas 0.22.0\n"
+ "matplotlib 3.0.1\n",
+ "seaborn 0.9.0\n",
+ "numpy 1.15.4\n",
+ "pandas 0.23.4\n"
]
}
],
@@ -230,8 +231,8 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "CPU times: user 266 ms, sys: 14.8 ms, total: 281 ms\n",
- "Wall time: 277 ms\n"
+ "CPU times: user 209 ms, sys: 9.51 ms, total: 219 ms\n",
+ "Wall time: 218 ms\n"
]
}
],
@@ -284,8 +285,8 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "CPU times: user 17.2 ms, sys: 9.4 ms, total: 26.6 ms\n",
- "Wall time: 25.1 ms\n"
+ "CPU times: user 14.6 ms, sys: 16 ms, total: 30.6 ms\n",
+ "Wall time: 23.5 ms\n"
]
}
],
@@ -400,7 +401,7 @@
{
"data": {
"text/plain": [
- "array([ 0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])"
+ "array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ])"
]
},
"execution_count": 13,
@@ -471,8 +472,8 @@
{
"data": {
"text/plain": [
- "array([ 0.69646919, 0.28613933, 0.22685145, 0.55131477, 0.71946897,\n",
- " 0.42310646, 0.9807642 , 0.68482974, 0.4809319 , 0.39211752])"
+ "array([0.69646919, 0.28613933, 0.22685145, 0.55131477, 0.71946897,\n",
+ " 0.42310646, 0.9807642 , 0.68482974, 0.4809319 , 0.39211752])"
]
},
"execution_count": 17,
@@ -691,7 +692,7 @@
{
"data": {
"text/plain": [
- "array([ 1., 1., 1., 1.])"
+ "array([1., 1., 1., 1.])"
]
},
"execution_count": 29,
@@ -711,7 +712,7 @@
{
"data": {
"text/plain": [
- "array([ 1., 1., 1.])"
+ "array([1., 1., 1.])"
]
},
"execution_count": 30,
@@ -731,8 +732,8 @@
{
"data": {
"text/plain": [
- "array([[ 1., 1.],\n",
- " [ 1., 1.]])"
+ "array([[1., 1.],\n",
+ " [1., 1.]])"
]
},
"execution_count": 31,
@@ -779,7 +780,7 @@
{
"data": {
"text/plain": [
- "array([ 4., 4., 4.])"
+ "array([4., 4., 4.])"
]
},
"execution_count": 33,
@@ -806,9 +807,9 @@
{
"data": {
"text/plain": [
- "array([[ 1.84147098, 1.84147098, 1.84147098, 1.84147098],\n",
- " [ 1.84147098, 1.84147098, 1.84147098, 1.84147098],\n",
- " [ 1.84147098, 1.84147098, 1.84147098, 1.84147098]])"
+ "array([[1.84147098, 1.84147098, 1.84147098, 1.84147098],\n",
+ " [1.84147098, 1.84147098, 1.84147098, 1.84147098],\n",
+ " [1.84147098, 1.84147098, 1.84147098, 1.84147098]])"
]
},
"execution_count": 34,
@@ -835,9 +836,9 @@
{
"data": {
"text/plain": [
- "array([[ 1.1, 1.1, 1.1, 1.1],\n",
- " [ 1.1, 1.1, 1.1, 1.1],\n",
- " [ 1.1, 1.1, 1.1, 1.1]])"
+ "array([[1.1, 1.1, 1.1, 1.1],\n",
+ " [1.1, 1.1, 1.1, 1.1],\n",
+ " [1.1, 1.1, 1.1, 1.1]])"
]
},
"execution_count": 35,
@@ -857,9 +858,9 @@
{
"data": {
"text/plain": [
- "array([[ 2., 2., 2., 2.],\n",
- " [ 2., 2., 2., 2.],\n",
- " [ 2., 2., 2., 2.]])"
+ "array([[2., 2., 2., 2.],\n",
+ " [2., 2., 2., 2.],\n",
+ " [2., 2., 2., 2.]])"
]
},
"execution_count": 36,
@@ -1080,7 +1081,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.6.7"
}
},
"nbformat": 4,
diff --git a/notebooks/MCMC.ipynb b/notebooks/MCMC.ipynb
index 9451c9b..ab20610 100644
--- a/notebooks/MCMC.ipynb
+++ b/notebooks/MCMC.ipynb
@@ -88,9 +88,9 @@
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -139,7 +139,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "The notation `z=[0]` identifies `z` as the parameter we want to sample (starting the value 0). The result is a Pandas DataFrame of generated samples:"
+ "The notation `z=[0]` identifies `z` as the parameter we want to sample (starting at the value 0). The result is a Pandas DataFrame of generated samples:"
]
},
{
@@ -174,23 +174,23 @@
" \n",
"
"
]
},
"metadata": {},
@@ -263,7 +263,7 @@
{
"data": {
"text/plain": [
- "0.27477733502973284"
+ "0.2729666505147651"
]
},
"execution_count": 8,
@@ -290,7 +290,7 @@
{
"data": {
"text/plain": [
- "0.54149695194932712"
+ "0.5414157152385632"
]
},
"execution_count": 9,
@@ -306,7 +306,15 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "You can also build an empirical estimate of the normalized probability density $P(\\vec{z})$ using any density estimation method, for example:"
+ "Recall that the reason we are using MCMC is because we do not know the value of the normalization constant:\n",
+ "$$\n",
+ "\\int d\\vec{z}\\,f(\\vec{z}) \\; .\n",
+ "$$\n",
+ "However, we can use MCMC samples to estimate its value as follows:\n",
+ " - First, build an empirical estimate of the normalized probability density $P(\\vec{z})$ using any density estimation method.\n",
+ " - Second, compare this density estimate (which is noisy, but normalized by construction) with the original un-normalized $f(\\vec{z})$: they should have the same shape and their ratio is the unknown normalization constant.\n",
+ "\n",
+ "For example, use KDE to estimate the density of our generated samples:"
]
},
{
@@ -315,7 +323,14 @@
"metadata": {},
"outputs": [],
"source": [
- "fit = neighbors.kde.KernelDensity(kernel='gaussian', bandwidth=0.01).fit(samples)"
+ "fit = neighbors.KernelDensity(kernel='gaussian', bandwidth=0.01).fit(samples)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now take the ratio of the (normalized and noisy) KDE density estimate and the (un-normalized and smooth) $f(z)$ on a grid of $z$ values:"
]
},
{
@@ -327,14 +342,14 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "mean P(z)/f(z) = 1.757\n"
+ "mean P(z)/f(z) = 1.761\n"
]
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -364,15 +379,18 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "The estimated $P(z)$ does not look great, but since it is just a scaled version of the smooth un-normalized $f(z)$, their ratio at each $z$ is an estimate of the integral:\n",
- "$$\n",
- "\\frac{f(z)}{P(z)} = \\int dz\\,f(z) \\; .\n",
- "$$\n",
- "Therefore the mean of $f(z) / P(z)$ provides an estimate of the normalization integral. In practice, we restrict this mean to $z$ values where $P(z)$ is above some minimum to avoid regions where the empirical density estimate is poorly determined.\n",
+ "The estimated $P(z)$ does not look great, but the mean of $f(z) / P(z)$ estimates the normalization constant. In practice, we restrict this mean to $z$ values where $P(z)$ is above some minimum to avoid regions where the empirical density estimate is poorly determined.\n",
"\n",
"In the example above, the true value of the integral rounds to 1.748 so our numerical accuracy is roughly 1%."
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note that we cannot simply use $g(z) = 1$ in the importance sampled integral above to estimate the normalization constant since it gives exactly one! The unknown constant is the integral of $f(z)$, not $P(z)$."
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -385,7 +403,7 @@
"0 & |\\vec{z}| \\ge r\n",
"\\end{cases}\n",
"$$\n",
- "This function describes an un-normalized Gaussian PDF centered at $\\vec{z}_0$ and clipped outside $|\\vec{z}| < r$. The normalization integral has no analytic solution except in the limits $\\vec{z}_0\\rightarrow \\vec{z}$ or $r\\rightarrow\\infty$.\n",
+ "This function describes an un-normalized Gaussian PDF centered at $\\vec{z}_0$ and clipped outside $|\\vec{z}| < r$. The normalization integral has no analytic solution except in the limits $\\vec{z}_0\\rightarrow 0$ or $r\\rightarrow\\infty$.\n",
"\n",
"To generate MCMC samples in 2D:"
]
@@ -458,28 +476,28 @@
" \n",
"
"
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -620,7 +636,7 @@
"source": [
"The MH algorithm relies on a **proposal distribution** $Q(X_{n+1}\\mid X_n)$ that is easier to sample than $\\tilde{P}(X_{n+1}\\mid X_n)$. (If you knew how to sample $P$ directly, you would not need MCMC!)\n",
"\n",
- "We often use a multivariate Gaussian for $Q$ since it is easy to sample from. Any proposal distribution is valid, but choosing a $Q$ \"closer\" to $P$ generally reaches the desired equilibrium faster.\n",
+ "We often use a multivariate Gaussian for $Q$ since it is easy (and efficient) to sample from. Any proposal distribution is valid, but choosing a $Q$ \"closer\" to $P$ generally reaches the desired equilibrium faster.\n",
"\n",
"The proposal distribution can either be used to update to the current state (\"random walk\") or to generate a new state:"
]
@@ -643,12 +659,14 @@
"outputs": [
{
"data": {
- "image/png": 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qbgHISXYgH5dP+O1j9D9wL4Gdt9se1Ga6bFydfuKTE6Y+/XQXUb6ZtNVCjLvQsEQiMSbHw7S0evF4Kh+i5nV5CbR0V7zfWiIXQ5irsZz7Pj+xCWtjnIjGZkkOZEa1ZLpsEuGwZYx7uoso10zaauNI2PjEKkl//1jFBiLqftY0wtzE43H27HqdN/sGGB8N0dru49zeHq7cvhqns3BPZCPMTTnIZV7ioRDh/n4cgCftgDLzPbkYS+N98XCYY3//JXO/vsOBq7OTmIn2u7u7h1Vf+dqcPuKhEG99+YuWMe5mn8lGhVQhTcvFys5daDj27HqdV188K2c0PhpKvd66Y221hjVvMeLTs8Wx51oMw3if3aGoq6PTsr6qVVRLPsqU9YAcqAoNRSQS482+AdO2t/oGiERyS0U37jUSnMrrM8Jcco1jz5dsh5u5HNRmEth5O507rjWNca83ZOcuNBST42HGR80TScbHQkyOh+nwNwPWwl5Wbp2bP3RxRb5DI5Fr+Tzjvfn6sO389f0uV9678Hrxp+eCGHehoWhp9dLa7jM18K1tPlpavVmFvazcOs3NXi65amUlv07dYxefHh0cIBIcwhtYmLdWS/pCYGWMyxHVUutiYemIcRcaCo/Hxco13Rzce2JO26reHjweFw/0PWwp7HXLue+zdOv0HTjFxkuXVSXypl6xS/oBGH7iMRwZO2w7rRY70a5MH3ohu3Cr+/fcupOBhx6oebGwdMS4Cw2D4U5567WkcZ4RCJwVLZNN2Os9Xdss3Tojw1Oz3DpCdpw+Hws2XGRZBWli/ytYReyZlbSzkhQGa9GuXA9q7e4/qXVOypa1hByoCg2D4U6ZGAsDZyPkVq7uYuuOtTidzqzCXhFP0sduRkdnMy2t5slI4ViY/slBwrFw8V+kwUjXQM8kOjRkKd9rRLUYlFu0y1ay+Pg7Zeu3XBS8c1dKOYHvABcBIeCPtdZH0tq/DVwFGEGeN2ut7ethCUKB2EXJHHt9iEgkhsfjyirs1d3awbm9PbN87ga9Fy6e45KZz4U5csXT1YW7u9s8fryri0QiYWrgM6NabP33JRDtstWvmZEFLke/5aKYnfstQJPW+grgPwL/lNG+GbhOa71t5n9i2IWykUuUDJwV9jLDEPa6cvtqNmxZSlu7D4cD2tp9bNiylGtuWDNnd24U5hgKBUmQSPnvHzrySOm/ZJ1iH7K4mbbNl5i2NSs163WuOjSFYqtfY5H8VmtiYekU43PfCjwKoLV+Tim1xWiY2dWvBb6nlFoE3K21vqeokQqCDblEyRgYAl6vDhxkaHqYrqZONvSsT113Op1s3bGWy645j8nxME0tLh4++ih/9euHGJgcSu3Obzh3O8+eeMF0PI1emCNfcolcMZQkHTM+9rFn9zClD6cOLsudZGR3f+/SZbN87qXst1wULD+glPrfwE+01r+ceX0MOE9rHVVKtQGfB74BuIAngTu01vut7heNxhJutzzGCoXz6M8O8PzTb865funV53L9LRfOuR6KhglOj+Bv6sDnnmuEI+EoY6MhfvbmIzz6xpNz2pe2Leb42CnTsThx8M/v+3sWtwYK+CaNSywUIjwUxNvlx5VhFGOhEK9/93v073pqzueWvP99nPfZO0jEYrx5z/cZev4FQgMD+Hp66Lr0XZx7xydLErVidf9Vn/wj3vr+D8vWb5GUXH5gFEivPODUWkdn/p4EvqW1ngRQSu0i6Zu3NO7BoE3prBIjGiHW1PPcbLpiOVNTYd7qG2B8LERrm49VvT1sumK55Xdy0cTA+NisZKbMJKaoz8HizvM5teIwOM5uhk6OnbYcS6evg9i4k/6p+pzLfMj7N+NeAKNhYPbhczwUIvjKq6Yf6X/2dyy44SacPh9tt+xkwQ03zQpvHBgqnf0wu//gSKigfiukLWN6vRjj/gxwI3C/UupyIP2/Si9wr1JqM0m//lbg+0X0JQhZyXSnZFODtDoMXXx0HQdeOhsn7w410XP6XABOrTyUuh7H+ql3rX+1uGTyJJ8D03zCGwvB6v7l7reUFGPcfwpcq5TaQ/Kx4NNKqTuBI1rrh5VSPwKeAyLAv2qtzYOLBaHEeDyunGLRjcNQg6FQkN8c3cOG3y8g6U2cTVtwEaeXaRKuZOSEEydx5kZR+Fw+dq69ac71aksQ1zr1VOWoHijYuGut48CfZlw+nNb+deDrhd5fEMqJVTKTJ9JEbMpp6sT0hpvwRJoIu5KP4ktaF3N8fG4m7BVL3kWz5+ziUi4J4kaj0VQZq41kqArzEqtkpohnmoh3Cm+4ZU5bzBcm6gnR3eRnQ896bj7vev7fG49aRt0YiARx7lS6ylE9acXkixh3YV5ilcyUcMUJ9wzjPTHXuF+2pZfbL3nXLBXJbOX0skkQX3bNeeKiSaNSqox2GjU1EP1SEuSZUJiX2CUzrby01TSJ6YabNxBo6Z5jwI1yemYHqLkmVwmzMQ4uy7WbLpfGfC0hO3dh3mKXzORa55oTdeN05b8Xyie5SqgM+WjM1zNi3IV5QyQSY3R4ChLQ7m/G43HZulXMom6sCnxY4fG4LLVqDAliobKUW6OmVhDjLjQEdmGG8XicZ544gn71FJFwMnTR7XWybsNirnrvGrwuL620cebtCboXQnPLXL/5+OgUP3/rl/zunX0Ew8P4vZ1ctPDCnATCrty+GmBOctWV21dLeGQVmC8hl2LchbrGKszwXVefy/RkhJZWL7/7zRuzkpIAouE4B146QSKR4NQ7owz1T5BIJDXguwILuPUTm3E6HWn3nibsTeDzL4EVIwTDwzz1zm7iiQQfVjfbjtEsucrlckh4ZJWYLyGXBWvLlJr+/rGKDaSeU+zLTb3Nze7HXzN1ebi9TqLhOAvavISmo0Qj5pKtVnQvXMA5KzpN7z3U/TYnVx0k4YrT5PLxD1u/lHc2qtW4N2xZWnfhkfX2m4H0aJm5IZeljJapkPxAybVlBKGq2IUZRmfcL0bhjnwZ6p9gatL8s/7BZbSOdTPqP82pFYfpnxxiadtiy3tl+uklPLL6NFIhbCvEuAt1i12YYbEkEjA5HjFtc+DAG25J6c04LjN/6LTSrtnRvT1reKSU8qsM9aQVky9i3IW6xS7MsFJ0DC+i091p2mamXfPUO7tJRKG1PSDhkUJZkZMboW4xwgxzIeaMkLBRcSx4DKFmIlNzr9sV4j4wfJAVa8wr/ixf0yUuGaEkiHEX6prMknger/lPOhh4h8GFR7PeL98FoLnNg8fEgzI0PWJapzXZNszCzU4u2Lxkphh3gqhvmoFFb/J4y0M80PcwsXgsr3EIQibilhHqmrkl8dy88PRbyRDDsRCtbV7ebjnCqeUzgqWOBG1Di/BGmnGYF7DJi7dbXuMfXnqaDf71XLtoO63tyeSo36S5YzJx4OBf9t9F1wI/zZta6A8GiXimk1LCYVKunJ29c2WDBSFXxLgLDYGRTRqLxzi54hCveQ8xNj5Na6uP4egwzOzIT608xFDgGGsPvNv0PnYG3+tzkUgkiIRjhLxTjPlPc2q5ZnGf4mTQzb3hF2htb2LFmi4OtBy2vI+hAT8UCuKIjeChac57pAarUCxi3IWao5iszfRDTIfHyfh4goSHWbU3Ir4pS1lfO8KhpKtkYuEZ3lq+j4QrzuKj56eiZiAp5/v7vSfxLloMK83dMgAkHCw+to724CI84SYi3ulUaCWOBEPTw4yExgi0dOc1RkEwEOMu1AzFFrVIHWJmMZwJV5xR/+lZRjkfPMNtsBwcMSftwUWm7+kcXjKralMmi4+tm9V/emjlqZWH6GrqpMNnXhtTEHJBDlSFmsEoamGECBpFLfbsej2nzxsFOAzD6Q234MCZMpyLj61LvffUisNMLj1N1Dud9yGqZ6YikyfShCc816UC4A758ETM2+wWhbbgIhwxJxt61otLRiiKgnfuSikn8B3gIiAE/LHW+kha+2eBzwFR4Kta618UOVahgSlF1martwVfosnWcKbvpiOJCO54wqRaapaxeqeJeKZTf5u5d1rbm7hi1WYODJ+VE25yN3N8/ITtouANN3FF81ZuWvkHeY5KEGZTjFvmFqBJa32FUupy4J+AmwGUUouBvwC2AE3AbqXUY1rr6mWbCDVNLkUtsmVt/uKNx4iHHLaG06iBuvjYOjpOL7O9X4KE6QHrqP80CWeCxcfW4Yp6TD97bm8PWy+4gltiZ+WEXQ4XDx15hFdPH7JcFJwOJ6O7W7l//0siJCYURTHGfSvwKIDW+jml1Ja0tkuBZ2aMeUgpdQTYCLxgdTO/vwW3u3LJG4GA+DOtqMbcdHY00+FvZiQ4NyOoo7OZlau68Hitf66haJiDQ4dmaqCaG87wzI7bzi2STrDrHeKuOG3DC/FGfIS908kImRWH5/jMDbw+F72bAlx/0wU0+5KLzFLOHor+u0UfIxQN80jsFQ48d2rO5w0dP8Ml1dTk4YYPbMg61moj/56sqdbcFGPc24GRtNcxpZRbax01aRsDbEWSg8HJIoaSH/WoYlcpqjk3K1Z3mSolLl/dxfCISRpoGv2TgwxMDpFwJSwPS8f8p0m44ninWyx39+k0TbXjjnnwRJqIuqcZ60wadkfcYbk4TCYmuD/yb/z6l+1sDKy31Hu/6t29OKIu3uobYGwsNGPV5z4lvLT3dS7YsoiJ+GTOBUIqjfx7sqZCqpCm14sx7qNA+l2dM4bdrK0NmFtqXhDSMCtqsWJNN+s3LSUSic3xuaerLaYXvD61Ihlj3hZchDfcRMwXpmVpnOlzjuMIO2hra8bVnCBuv17QMnV2P+KJNtNzJrlgDC0+ark4uMJe3BFfSkcGZicjpYd5GslXx98e4t/uP2AaYR+bdPDffvsdhtxnUsJjuRQIEYRijPszwI3A/TM+91fT2p4HvqaUagJ8wPnAgSL6EuYB6dmm46PTvPL827zZN8DBvSdmhUUmSMxRW9zgX88FTet5ZnIPCVecUysPcXqZxhNJHmx+6IKbCMd2pBaD50NHTZ8SsuEfWMaZpa9Zu3480xB34Ig5SbjiqWQkt8NtGebp68Yy7j7snWbI0U+ChOWCIQhmFGPcfwpcq5TaQ/J58tNKqTuBI1rrh5VS3waeJhlu+bda6+nihyvMB1wuB4/9v98zeGYidc3wQQOcXHHorNpiwoG3bzEng2684WY2NF/LqP80R5fup2tBR6rgNYDX5U0lBV2+7TxOHBtm8MyE5cGpGc64G3fEZ+n6ccc8rD1wdSq2/vQKzUhoDL1naNZikv59Ln3PSkI9w3hPzDXuhispHcleFXKhYOOutY4Df5px+XBa+13AXYXeX5i/7H78yCzDns6bfQO85j2Uep15sBmfctE6dQ43L9zANduUpQF87qk3Un3kqzHjwJFy/QRGl5OYdhNzRHDFPbjiyegZI7a+yeVjgbOFN/v6TO9lhHku39LMkd+9mXIlpR/eZiLZq0IuSIaqUBWsJAYikRhvWcS7Q3LHOzY+DU32yUCn3xjHEXdhFsRuF1OfIEHEM4U74sNp8uGYM0rYNwmOBOHek9x+8a2cHhzhsZ8cSmZ7ZNAeXMTUWCxrmOd7Vl7F7lP/mHIlpYTETJDsVSEXxLgLFSWbxMDkeJiJcevSeC2tXtpamxiMTtgmA9nFxttXcEpwdO1L9JxehX9w+ZzW4Z53SLjiOGJOFkQ6+cZL32VsfIq1IXMhsviUExJYFhUxinM0Ozvp8vkZCgUJu+wjxyR7VcgFyY4QKko2iQGjupIV567tZsPi8wFSMe1m2FU0susj7oyx8rVL6BxcSswZIeZIBoA5mmNMLD3J6RV9rHrnYtYdeA/tz62j+8UNdJ1amcpYzSTqC9Hcbl1UZFVvDx6PC6/Ly8bAesvvDdDk8rFt2dbUGYIg2CE7d6Fi5CoxcG5vj2kkS/fCBWy9di0J1gDJg0Wrg03DaJph10e639wVT+59Vp7fybV/uIHuhS385P++yJETg6n3e8Mt9Jw5l8mWEbwmJVeHO08yEZ80DfNcNfPEYmAY7f39BxkKBXHiJE4cv7eT3q7V7Oy9iWa31FYVckOMu1AxcpUYSDeEY2MhFizwsaq3m6071qRS8Xf23sTNq6+n//xhfr+7n1PHRpgYD5saTTMy+4jwTfGiAAAbQ0lEQVR6p3FEXCnDns7g8WRAvDPu5NQb46b3c0U9DCx8K5nNmnYgGjnvDI5JDzFPYlZRETM5Y5fTlfpeI6Exmt0+pqKhmk1eEmobMe4NQigSY2Q8REerD1+N1uC0K2id7kbJrK5kZgjj8TjPP3l0lu9+7frFbL12DT7f2Z+11cFtZh//duRxgk+YG9CJmYVnzBuyXJy84SaGFr/F6eWHkwei7hCLjvey5OVLeODZvbPOFrJp5KSHbLZ6W23fKwhWiHGvc2LxOPftOsK+vn6GRkN0tfvY1Bvgw9vX4Cqh4FQpFg87d4iZG8WormSG4bs3GB8N0XfgFL4mF1t3rM1JGz4cCzMSGaOjvY1bN17H/9nztGnWqrHwtLX7LBcnQ7cm4YoTdk2y5Oj5dGcU8TDGu3XH2uyTZUIxRUyE+YcY9zrnvl1HePzFd1KvB0dDqdcf3dFb9P1LvXjk4nvORi6++9/95g3LpKErtp83J8N1Y2A9F1ywjgMvnZhzT2Ph8XjdlotTpGeYq1dcxpVLLuPxN3/D6MvmUkqH95/kXVefO+vpIhvFFjER5idi3OuYUCTGvr5+07Z9fQPcds3qol00pV48cnG5ZNuhZvPdjw5P2Rr/E+cc4jenzhawNtL6r1kOGxzn2y48mYvTgjYfC1cuYNO7NuH3t5Jwxjjaf5KFYfP4+0g4zu7HjvDe968zbU/H0M75/e4Bfr/35NnvWIKnAKHxEeNex4yMhxiyMHLBsWlGxkMs9OdXJzSdci4eZi6XXHeodr77BW0+fv3Wk4yNtppmno6NhTh94ohpEPCBoYPc8p7rbReeTP2bV198h6OvD/GTV/fR2u5j8XmtDDoH8Hum8UbM5/7EsaCpEJpBLB5LPVkMT47Se/Aa3CZFtHMtYiLMT+SZro7paPXRZRGv7W9roqPVOl48F3JZPEpJrmX2DN+9GdHAKM8MP0PEay752NLmYTBhvmAZaf3GwmNnND0eFwf3neDgvpOzxnvk5UGWn7qQ8fZBy88aB7RWGEW+h0JB3BEfrpD5Qe94lvsI8xsx7nWMz+NiU2/AtG1Tb0/RLplyLx7pZPOjRyKxWdeu3L6aDVuW0tbuw+GAtnYfF2xewhtL9qYKYJuxak0PnS3tpm35pPXbjbdjeBGnlh8m5jQJfMc+wSpV5Nvop8BELUEQt0yd8+HtyYSefX0DBMem8bc1sam3J3W9GIzFI93nblCKxSOdfMvsmfnuhyPDPPBcsmxApqZ7xDvN2vPO4fJrVnPm6PqzqpIzOGJOLmi60FKPJp/xxqdcXLXwct5e3E/riXPmtNslWBlFvg2MhSrfRC1BEONe57icTm67ZjXvvugcSCQI+FtKanTLuXikk2sMfCbpvvsO59mCHTgSSU33pX0sOXoB7WMBjh4e5v4TL7Bq7TquWZ70sQ9NjbDy+Ebag4sITrm497nnc4pEsRtvW5uP2zZcTWxDlKef6OPUG+NM5BgZlF50xMBYqDqHl+AON9FWQISRMP8Q417HVCLG3eV08tEdvdx2zeqyJknlGwNvhqHPkr4rX3S8l640AbDx0RAHXjrBBsf53PKe6/nNY5ojJwaJp7XnEomSy3g9uLj2+g15xaebfQdjoVKXdXPdkmskzl3ICTHuJaaSmaLljnFPx+dxFRV5kwuliIE39FleHThIcGKUzuElpu97q2+AS65caSknkEskSq7jtUvGyiQSibGjezuJKBwYPsjQ9DBdTZ2poiNSXk/IFTHuJaJSmaIGlYhxrzS5xMBnI12f5fjpAR59ybxIxvhYiMEzE3n5+e3GOzIyQcQToru1o6DEorlhoAHeu+ZW1l3Zjb+5XbRlhLwpyLgrpZqBHwILgTHgk1rr/oz3PAx0AxFgSmt9Q5FjrWkquYsG6B+eKmuMezXJZ6drhdflZVlgEa3tRy39+N0LFxTk508nFo/xszfnZrvmu8s2k1P4/d6TuJxOtu4wD/sUBDsK3VL+GfCq1vpq4F+BvzN5zxpgq9Z6W6Mb9my76FBGGF8xxOJxfvx4H/98/8skLN5T6jDFesUuHn5Vbw/NLd6sOuvZSI9JTy9i/dCRR3IeZ75hoIKQC4Ua963AozN//xLYkd6olFoEdAI/V0rtVkq9v/Ah1j6VTPYxnhCGxqyTV0odpljPmMXDb9iyNOUXz9ZuR2ZMejqvDhwkHMstwSiXMFBByJesbhml1GeAL2RcPg2MzPw9BmSqJHmBfwK+BXQBzyilntdan7Hqx+9vwe2unEEKBEpXg7Kto5mAv5kzwblZkT2dzaxe1U2Tt/jjjelwlP2vW2c+LvQ3c/mFS7jjxvW4XIX7+Us5N+UiFA0TnB7B39SBz23vPvnARzYTCUcZGw3R1u7Dk/HfIlt7OoFAW6rvWDQyKyY9neD0MK7WOIHW7HPZ2dFMh7+ZEZPfT0dnMytXddmOqRaoh99MtajW3GT9xWit7wbuTr+mlHoIMEbcBmT+wk8B39VaR4EzSql9gAIsjXswaF83spQEAm3094+V9J4bV3ebJvtsXN3N2MgUpejtTHCSfhMDAOAA/vwDF7JsYRtDQxMF91GOuSkl6borhfi4h0fM5y+X9q7uFv7Xs/em+u70duB1eQnF5u66/U2dxMad9E/lNpcrVneZhlUuX92VdczVptZ/M9WkEnNjtXgUur17BvjDmb9vAJ7OaN8B3A+glGoFLgQOFdhXzRGKxDgTnJzlS//w9jXs2LKM7vYmnA7obm9ix5ZleSX7mN03HTs5gK72JgJ1eoCaD6XwcRfKD175yay+g+FhU8MOsL57HSOhsZxdM8W4hwTBjEKf9f4n8H2l1G4gDHwUQCn1deBBrfUvlVLXKaWeA+LAF7XW5idGdUS2cMdCk31yDaOspBxALZLNx33z6uvLFjIYjoV54Z39pm1NLh8t7pbUk0Szp5lX+w/x9PHncn6yKDQM1JAFllJ8QiYFGXet9SSw0+T6X6f9/ZdFjKtoypFMlEu4o1myj91YQpEYP/yV5pkDp2zva1AKOYB6KMlnRqbuSjqGoqNRnq4cfQ9MDpm2hWJh7tz87/G6PDxx7Lc8feLZs+OaebKAZN3XbOQaBlqse0pofGr7lKYAypVMVEjSkN1YILlY7NVnLCNfzO5biSeEWsVMd8UgH0XHQvvuaemif3LugXZXUyeBli4ADg4eNv18qZ8sDPeUQb6LiND41P6/6DwxdteDoyESnN0F37frSMH3jMXj/OBXmsE8wx3txpJLSKNdGKXxhJDPzrscc1NJDN0VMzb0rC+rW8Lr8vKuZRtt+87lyaIUlCoEU2hsGsq4lyuZ6L5dR9iT5jbJxCxpyH4s/ey1jgq1vW+hVDLRqpzcuuZ9bFu2le4mPw4cdDf52bZsa0pTppx8/KLbbPs2nizMKOWTRaUWEaG+aSi3TDnKztkZRYONq7vmuEjsxjI0FiJhlV6aRikPSUfGQ5ZPHkOj0/QHJ1m2sPZjldO1Yyp9kJitb1NFxxlK+WRRTfeUUD80lHE3QgXNjFihu2A7Iw2wpKuF/a8P8tS+E7N82HZj6WrzkUgkLF0y3Rm++WKJxeP86oW3cTogbrKoJIBvPbifTb0B/vxDm0rSZ7nxurxlOzwtpu90VcpMRcdS9l+JRUSobxrKuJcjVNDOSPs8Tk4OnU2+yoxysR5LsjSeWduVFy7m49epkkax3LfrCE/unZsgk44x9pZmL7dctapkfc83KvVkUYlFRKhvGsq4Q+krB9ktGA6Hw/QzRpSL3Vhi8Tj62DDH+8eJJ8DpgKWBVj5xfS/eEsow5OJWSue5Aye54dLldRUiWSjljBEv95NFNd1TQn3QcMa9HJWDzIy0WtHJsxaHrOn+/duuWc27Ny4Bh4NAZ3NqLPftOsLbZ84Wiogn4O0z4zz41BsllQjO5lbKZGB4qq7lgnOhkWLEq+meEmqbhjPuBqWsHGS2YADoY0FL/35ri4cfP95nGlMejSUqVmjDzq1kRk9nc8PLBUuMuDAfaKhQyHKTHltuuGvM2NTbw8+eftMyprySEsF24zTj8guX5LSwZNPBqVUkRlyYLzTszr0SWPnUb7n6PP7T3b8z/cy+vgFuvHJVyaN6wFpWwGycF63txgG8/NrgrLHfceN6W1XJes9yraaEgSBUEjHuRWDl3z8TnLTdmU+FoqlD2if+92cBeO8f3wUUFtWTzeDanUN8cNvsBSGbDnylywmWGokRF+YLtb/VqmEM1wQwSwrATprX2JkbEsHOmYibQiSCDXKVFTCTLMhHxqARslyrKWEgCJVEdu5ZMHN1ZNsp5xpv/9Edvfxjm494IsFXP3tZQYeohQia5Xt/4/uXIwO4GkiMuDAfEONugZ0Bz8U1kWu8vcPhwOVwFGyAy2Vwzb7/xjU9+Nu8ppm19VSUW2LEhfmAGHcLrAx4LJ5g/xHzuiPpO+VyxNubUQ7JBTD//k/uPc7yha2mxr0ei4VIjLjQyIjP3QQ7V8fLfQN5Sf8WIs1rjCGXUMNsIZmldvVMTkd4z6ZziionKAhC+Slq566U+gCwU2v9UZO2zwKfA6LAV7XWvyimr0pi5+oYngjR2epleLw8rolCQg1LLblg7+oJcd2lK/jQ9rV1Wc2pFEhpO6EeKNi4K6W+BVwHvGzSthj4C2AL0ATsVko9prUuXXZOGbFXdGxi4+ountx3Yk7buhVztbzzLWlXSKhhqV1Aubh6SpkBXC/E4jEe6Hu4IWQLhManmJ37HuBnJHfnmVwKPDNjzENKqSPARuCFIvqrGNmiXT68fQ0ulzO1U/Z6XECCZw6c4vCxIJt6A3xw23k8+NQb/O2f/SHxRAKnw4HX42JBk3uW4Njbbx8D4JJLLiSRSBAcCxE3EXvvbv+BZeRL+gJSCoM73wtxW/GDV34isgVC3ZDVuCulPgN8IePyp7XW9ymltll8rB0YSXs9BnTY9eP3t+AuoRpiNgIB+2SVP//QJlqavTx34CQDw1P0dDZz+YVLuOPG9bhcTj7/kUuYDkf57k/288SLb6c+Z+y03zgxyhsnRlOGOp5IMB2O4nQ4aG3xzOnP4XSQiGNq2CHpz3d5PQR6FqSuxWJx7vn5QZ47cJL+4SkCGWMslECgLev3n2+EomFeeG6/advvhw7R7t+Jzz1/XTTZ/j3NZ6o1N1mNu9b6buDuPO87CqR/ozbAPOd7hmBw0q65pAQCbfT3Zy9FdstVq7jh0uWzXB3pqfmhSIyX+8zL5b11chQ4m3lq0N3exFc/exlul4P7dh1J7ezf8+nvsnFND6+81m8ZahgLR2aN+8eP983aXZ8JTvHw028wORUuOFs0fW6yff/5RP/kIAOTQxZtQ7x+/MS8jbzJ9d/TfKQSc2O1eJRrC/Y8cLVSqkkp1QGcDxwoU19lxS7axe7g0aziEZyNqDF868ZO3Qg1XNBsvvvLdIdUKlu00GifRqPD10ZPS5dpm8gWCLVISY27UupOpdRNWutTwLeBp4FdwN9qradL2Vc61VIotJMZcJrX8cDf1kSzz20banjNxUto8p41pk1eF4lEglg8nrpWSWVJIRkT/65lG03bRLZAqEWKCoXUWj8FPJX2+htpf98F3DX3U6Wj2gqFdgePLU1uxqeic65v6u1hKhS1DTWMRhNMh88uVNPhGE+8dByHw5Fyt5QreUmw5uMX3cbkZERkC4S6oK4zVGtBodAsxrylyT2rypLB8oWtqWIdVoa5s9XH4WNzFQuNPoyIGYloqTwiWyDUE3Ub9lAJn3Mu7h4jxvyrn72M//onl/PlT21hcjpi+t7J6SjRWMI2q3TdSn/O7hZDWTKfbNF6LbJRSxiyBWLYhVqmbnfuxQhmTYejnAlOWib7FOLuMQ4es2m5G+MyDPCTdzuIJxJ0txuFPs61Ld+X7m7JJXnJiIFvbfHws6ffrNsiG4Ig5EfdGvdCfM6G0d7/+iD9wSlLA1eMuyfXcRmG2UzyN193i1m2aOYC5fO6Zvnx663IhiAI+VG3W7ZCBLMMo30mOGVZ1KJYd0++49q79yAv7/v9nLJ4s90tPq66cDG3XH2ebd/pZBbwSDfsmd9pbDIsrhpBaDDqducO+Qlm5VrUohT66NnGlU1vxtjV33L1ufz4sdc4fHSIPWnSBtlcKXbfNZPB0Wn+8z0vMDyedNVcddFSbrxihbhqBKHOqWvjno9gVq5GuxQhhlbjisXj/Pjxvpz93j97+k32HDiVep2rK8Xuu5oRnDmkHRwNFZ3hKghCbdAQ27NcsihzqWtq3KtU+uiZ48q11ikU5x7qaPXh8xYeClkv9VAFQbCmIYx7LuRjtD+8fQ3v2XQOna1eHJSmIEW+xrr4DFQL/QPA4YDOVuswPslwFYT6Z94Ydzh7ULnQ32wZF54eUTMyHqaz1cfGNd1FhQyGIjHeOD6SVwWnXJ80zBgZDzEdjlu2/9WHL+bv77iU7gLvLwhC7VPXPvd8MXzhn7utmdffGjT10WeGQQbHk4JeLqcjbz90Zjii02EuKGZmTAvNQI3F4/zqhbct++pub+K8pR2S4SoIDc68Mu4GTV63acRLrhE1Zp8zO9DNXCgspNotjWkh5fPu23WEJ/cet2xP78vs/ldddA43XrHC8vOCINQH89K4W5FvGKRdJms0lrBcKJyOpKHvarcP3RwZD3HbNatzLp8XisTYq8315R3Atk3nzOrLLKpn2Tmdos0tCA2AGPc0soVBNvvcs2QL7DJZd1yyzHKhSAB/dfvFKfdIOsUoXY6Mh0wLfRh9Xnepefz6fKyHKgiNjhj3NLJJ+H7l/7yQMrhG1SQz9vUNcOOVq2yLbJsZdihM+sDY5bucDktfu9MBzT75zy0I8wX5155BLhK+RtUkK4Jj00yFonkfWObr88/c5Xe0ei0rQMUTMBWK0tYiSoaCMB8Q455Bph+62ZfcsZuRLfol3wPRodHprOGS6e6TzF3+8Li5SwaS+jQS3igI8wcx7hbkIuFrtUtO35nnKo8A8PiLb1u2ZYZL5qMfkxxTQMIbBWEeUZRxV0p9ANiptf6oSdu3gasAI/TiZq31SDH9VQO7Q1Zj5278f3fa4Wc6uRxYhiIx9r8+aNm+cU33LOOcTT/G3+pjZCKUU/ikIAiNR8HGXSn1LeA64GWLt2wGrtNaDxTaRy1gd8hq7NyN/9+4urtgwa1sxnrHJctmvbZbdLrbm/jyp7YwFYpmfVoQBKExKUZ+YA/wZ2YNSiknsBb4nlLqGaXUHUX0U3XS9dUdjuRO3YxnD55mMmReYi8bdnID3e1NdLU3zbqWTSunrcWbVUxNEITGxZGwSpucQSn1GeALGZc/rbV+QSm1DfhTrfXtGZ9pAz4PfANwAU8Cd2it91v1E43GEm53bRui6XAUfTTI3313j+V73rtlOX/5kc0F3f+un73Kw0+/Mef6TVefx2dv2TDneiwW556fH+S5AycZGJ6ip7OZyy9cwh03rsflmleyQYIwnzHdbmZ1y2it7wbuzrOzSeBbWutJAKXULuAiwNK4B4OTeXZROIFAW8FZmN0LPHRbuEMA9ukzvHNiuKAd841XrGByKjwnuubGK1ZYjveWq1Zxw6XLZx3YDg1N5N23QTFz0+jI3Jgj82JNJeYmEGgzvV6uaJle4F6l1GaSrp+twPfL1FdF8XlcrFvh55m0IhrpDI+HcqrWZEY+xUcyxyQZpoIgpFPSZ3el1J1KqZu01oeAHwHPAb8B/lVrfbCUfVWTj1zbS5PXfOpKIZebS/ERQRAEO4rauWutnwKeSnv9jbS/vw58vZj71yotPjdbN54jcrmCINQsksRUIIXI8QqCIFQKMe4FUqh/XBAEoRKIcS8SOcwUBKEWkWBoQRCEBkSMuyAIQgMixl0QBKEBEeMuCILQgIhxFwRBaEDEuAuCIDQgYtwFQRAaEDHuFSQUiXEmOEkoEqv2UARBaHAkiakCxOJx7tt1hH19/QyNhuhKK8fncsr6KghC6RHjXgHu23VklsjY4Ggo9brQsnyCIAh2yLaxzIQiMfb19Zu27esbEBeNIAhlQYx7mbErfB0cm2Zk3LootiAIQqGIcS8zdoWvS1HYQxAEwQwx7mXG53GxqTdg2iaFPQRBKBcFHagqpTqAHwLtgBe4U2v9bMZ7Pgt8DogCX9Va/6LIsdYtUthDEIRKU2i0zJ3AE1rrf1ZKKeD/ApuNRqXUYuAvgC1AE7BbKfWY1npeOpilsIcgCJWmUOP+TcAw1G5gOqP9UuCZGWMeUkodATYCLxTYX0MghT0EQagUWY27UuozwBcyLn9aa/3CzA79h8BfZrS3AyNpr8eADrt+/P4W3O7K7WYDgbaK9VVvyNxYI3NjjsyLNdWam6zGXWt9N3B35nWl1AbgXuCvtNa/yWgeBdK/URswbNdPMDiZdbClIhBoo79/rGL91RMyN9bI3Jgj82JNJebGavEo9ED1AuAB4MNa61dM3vI88DWlVBPgA84HDhTSlyAIgpA/hfrc/4HkQem3kuepjGitb1ZK3Qkc0Vo/rJT6NvA0yXDLv9VaZ/rlBUEQhDLhSCQS1R4DAP39YxUbiDxGWiNzY43MjTkyL9ZUyC3jMLteM8ZdEARBKB2SoSoIgtCAiHEXBEFoQMS4C4IgNCBi3AVBEBoQMe6CIAgNiBh3QRCEBkSMuyAIQgMyrwtkK6XWAb8DFkkGbZJctPrnE0opJ/Ad4CKSSqh/rLU+Ut1R1QZKKQ9wD7CKpMzIV7XWD1d1UDWEUmoh8BJwrdb6cKX7n7c7d6VUO/BPnJUuFpIYWv3XAJ8C/kd1h1N1bgGatNZXAP+R5G9GSPJHwKDW+mrgBuBfqjyemmFm4ftfwFS1xjAvjbtSygF8D/giUDk5yvrgmyR/lGCu1T/f2Ao8CqC1fo5kARohyQPAl9JeR6s1kBrkH4HvAieqNYCGd8tY6NEfBe7VWr8yI3w2LylQq3++kVmbIKaUcmut570h01qPAyil2oAHgb+r7ohqA6XUp4B+rfWvlFJ/U61xzEttmZnKUO/MvLwceF5r/e4qDqmmyNDq/2W1x1NNlFLfAJ7TWt8/8/odrfWyKg+rZlBKLQd+CnxHa31PtcdTCyilfgskZv53MdAH3KS1PlXJcTT8zt0MrXWqMrVS6i3gD6o2mBojB63++cYzwI3A/Uqpy4FXqzyemkEptQj4NfDnWusnqj2eWiF9o6iUegr400obdpinxl2wxVSrv7pDqio/Ba5VSu0BHMCnqzyeWuKLgB/4klLK8L3foLWu2iGicJZ56ZYRBEFodOZltIwgCEKjI8ZdEAShARHjLgiC0ICIcRcEQWhAxLgLgiA0IGLcBUEQGhAx7oIgCA3I/wcryFB7hbPrUAAAAABJRU5ErkJggg==\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
- "metadata": {},
+ "metadata": {
+ "needs_background": "light"
+ },
"output_type": "display_data"
}
],
@@ -972,7 +996,7 @@
"A single Hamiltonian Monte Carlo (HMC) update then consists of:\n",
" - Pick a random starting point in $(q, p)$ space, to specify the initial conditions for our \"particles\".\n",
" - Follow the evolution of our \"particles\" for some fixed time interval using Hamiltonian dynamics.\n",
- " - Use the final positions of our \"particles\" as a new sampled added to the chain.\n",
+ " - Use the final positions of our \"particles\" as a new sample added to the chain.\n",
"\n",
"How does this sample the target $\\tilde{P}(q)$? The answer comes from statistical mechanics, which tells us that the probability that our system of particles is in a state with positions $q$ is given by the [canonical distribution](https://en.wikipedia.org/wiki/Canonical_ensemble):\n",
"$$\n",
@@ -1026,12 +1050,10 @@
"\n",
"Which package should you use?\n",
" - For initial exploratory work, start with [emcee](http://dfm.io/emcee/), which implements [ensemble sampling](http://dx.doi.org/10.2140/camcos.2010.5.65) where many independent \"walkers\" simultaneously crawl around your target space, and has a nice [affine invariance](https://en.wikipedia.org/wiki/Affine_geometry) property, where the efficiency is not affected by any linear (aka \"affine\") transformation of your target space.\n",
- " - Look into [PyMC3](http://docs.pymc.io/notebooks/getting_started.html) or [Edward](http://edwardlib.org/) to explore HMC and other more advanced updating rules. These are generally more complex to use and have rigid rules for specifying your target $\\tilde{P}$.\n",
+ " - Look into [PyMC3](http://docs.pymc.io/notebooks/getting_started.html), [Edward](http://edwardlib.org/) (based on tensorflow) or [Pyro](http://docs.pyro.ai/en/0.2.1-release/index.html) (based on PyTorch) to explore HMC and other more advanced updating rules. These are generally more complex to use and have rigid rules for specifying your target $\\tilde{P}$.\n",
" - Consider an alternative approximate method for Bayesian inference, such as [variational inference](https://en.wikipedia.org/wiki/Variational_Bayesian_methods), with different tradeoffs.\n",
" \n",
- "This [blog post](http://twiecki.github.io/blog/2013/09/23/emcee-pymc/) compares emcee and PyMC3.\n",
- "\n",
- "You will see examples of performing MCMC and variational inference with [Edward](http://edwardlib.org/) soon."
+ "This [blog post](http://twiecki.github.io/blog/2013/09/23/emcee-pymc/) compares emcee and PyMC3."
]
}
],
@@ -1051,7 +1073,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.6.7"
}
},
"nbformat": 4,
diff --git a/notebooks/ModelSelection.ipynb b/notebooks/ModelSelection.ipynb
index 5f00364..5d8ffff 100644
--- a/notebooks/ModelSelection.ipynb
+++ b/notebooks/ModelSelection.ipynb
@@ -31,43 +31,6 @@
"import pandas as pd"
]
},
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {},
- "outputs": [],
- "source": [
- "import scipy.stats"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {},
- "outputs": [],
- "source": [
- "import tensorflow as tf"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {},
- "outputs": [],
- "source": [
- "import edward as ed\n",
- "import edward.models"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn import mixture"
- ]
- },
{
"cell_type": "markdown",
"metadata": {},
@@ -188,6 +151,17 @@
"## Case Study: How Many Peaks?"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import scipy.stats\n",
+ "from mls import MCMC_sample\n",
+ "from sklearn import mixture"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -197,7 +171,7 @@
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
@@ -213,8 +187,8 @@
" # Optional plot.\n",
" if plot_range:\n",
" bins = np.linspace(*plot_range, 30)\n",
- " plt.hist(X, bins, histtype='stepfilled', alpha=0.5, normed=True)\n",
- " plt.hist(X, bins, histtype='step', color='k', lw=1, normed=True)\n",
+ " plt.hist(X, bins, histtype='stepfilled', alpha=0.5, density=True)\n",
+ " plt.hist(X, bins, histtype='step', color='k', lw=1, density=True)\n",
" grid = np.linspace(*plot_range, 201)\n",
" if frac1 > 0:\n",
" pdf1 = scipy.stats.norm.pdf(grid, mu1, sigma1)\n",
@@ -228,14 +202,14 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ "
"
]
},
"metadata": {},
@@ -328,10 +302,10 @@
"Dc should be unable to discriminate between M1 and M2 since, although it was produced by M2, M1 might produce data like this with the right statistical fluctuations.\n",
"\n",
"[Jeffreys proposed a scale](https://en.wikipedia.org/wiki/Bayes_factor#Interpretation) for thresholds in the Bayes' factor:\n",
- " - larger than 100 is \"decisive evidence\" in favor of M1.\n",
- " - larger than 10 is \"strong evidence\" in favor of M1.\n",
- " - smaller than 0.1 is \"strong evidence\" in favor of M2.\n",
- " - smaller than 0.01 is \"decisive evidence\" in favor of M2.\n",
+ " - larger than $10^{+2}$ is \"decisive evidence\" in favor of M1.\n",
+ " - larger than $10^{+1}$ is \"strong evidence\" in favor of M1.\n",
+ " - smaller than $10^{-1}$ is \"strong evidence\" in favor of M2.\n",
+ " - smaller than $10^{-2}$ is \"decisive evidence\" in favor of M2.\n",
"\n",
"---"
]
@@ -341,7 +315,7 @@
"metadata": {},
"source": [
"To compare models for given data $D$, we perform the following steps for each candidate model $M$:\n",
- " - Perform a Bayesian inference with HMC assuming $M$ to obtain samples of $(\\mu, \\sigma)$ drawn from the posterior $P(\\theta\\mid D, M)$.\n",
+ " - Perform a Bayesian inference with MCMC assuming $M$ to obtain samples of $(\\mu, \\sigma)$ drawn from the posterior $P(\\theta\\mid D, M)$.\n",
" - Construct a density estimate of the posterior using the generated samples.\n",
" - Estimate the evidence $P(D\\mid M)$ for $D$ given $M$ using the density estimate.\n",
"\n",
@@ -354,19 +328,20 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "The following parameter ranges are enforced by setting the prior probability to zero outside these ranges:\n",
+ "For our parameters priors in each model, we assume that $\\mu$ and $t = \\log(\\sigma)$ are uniform on the following intervals:\n",
" - M1: $|\\mu| \\le 1$ and $0.05 \\le \\sigma \\le 1.0$.\n",
" - M2: $|\\mu| \\le 1$ and $0.05 \\le \\sigma_i \\le 1.0$, with $\\mu \\equiv (\\mu_1 + \\mu_2) / 2$."
]
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"mu_range = (-1., +1.)\n",
- "sigma_range = (0.05, 1.0)"
+ "sigma_range = (0.05, 1.0)\n",
+ "t_range = np.log(sigma_range)"
]
},
{
@@ -375,17 +350,68 @@
"source": [
"The code below to calculate the evidence assuming M1 is quite involved, and brings together several topics we have met already:\n",
" - Bayesian inference.\n",
- " - Tensorflow and Edward frameworks.\n",
- " - Hamiltonian Markov-chain Monte Carlo.\n",
- " - Density estimation.\n",
+ " - Markov-chain Monte Carlo.\n",
+ " - Density estimation with a Gaussian mixture model.\n",
" - Evidence estimation with MCMC samples.\n",
" \n",
- "Do not worry about the details, at least until you need to perform a similar calculation yourself!"
+ "Do not worry too much about the details, at least until you need to perform a similar calculation yourself!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To build this calculation, first define the log-posterior PDFs of both models:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def M1_logpost(D, mu, t):\n",
+ " # Perform change of variables.\n",
+ " sigma = np.exp(t)\n",
+ " # Apply priors on (mu, sigma)\n",
+ " if np.abs(mu) > 1: return -np.inf\n",
+ " if sigma < 0.05 or sigma > 1.0: return -np.inf\n",
+ " # Calculate and return the log-likelihood.\n",
+ " return scipy.stats.norm.logpdf(D, mu, sigma).sum()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def M2_logpost(D, mu, t1, t2):\n",
+ " # Perform change of variables.\n",
+ " mu1 = mu - 0.3\n",
+ " mu2 = mu + 0.3\n",
+ " sigma1 = np.exp(t1)\n",
+ " sigma2 = np.exp(t2)\n",
+ " # Apply priors on (mu, t1, t2)\n",
+ " if np.abs(mu) > 1: return -np.inf\n",
+ " if sigma1 < 0.05 or sigma1 > 1.0: return -np.inf \n",
+ " if sigma2 < 0.05 or sigma2 > 1.0: return -np.inf \n",
+ " # Calculate and return the log-likelihood.\n",
+ " return np.log(0.5 * (\n",
+ " scipy.stats.norm.pdf(D, mu1, sigma1) +\n",
+ " scipy.stats.norm.pdf(D, mu2, sigma2))).sum()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we are ready to estimate the evidence for the observed data D assuming model M1:"
]
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
@@ -397,30 +423,20 @@
" mu_init = np.float32(med)\n",
" t_init = np.float32(np.log(0.5 * (hi - lo)))\n",
" # --------------------------------------------------------------------------\n",
- " # Build the graph for this inference.\n",
+ " # Use MCMC to generate samples from the M1 posterior.\n",
" # --------------------------------------------------------------------------\n",
- " M1_graph = tf.Graph()\n",
- " with M1_graph.as_default():\n",
- " mu = ed.models.Uniform(*mu_range)\n",
- " t = ed.models.Uniform(*np.log(sigma_range, dtype=np.float32))\n",
- " X = ed.models.Normal(loc=tf.fill(D.shape, mu), scale=tf.fill(D.shape, tf.exp(t)))\n",
- " mc_mu = ed.models.Empirical(params=tf.Variable(tf.fill((n_mc,), mu_init)))\n",
- " mc_t = ed.models.Empirical(params=tf.Variable(tf.fill((n_mc,), t_init)))\n",
- " # --------------------------------------------------------------------------\n",
- " # Run the inference using HMC to generate samples.\n",
- " # --------------------------------------------------------------------------\n",
- " with tf.Session(graph=M1_graph) as session:\n",
- " tf.set_random_seed(seed)\n",
- " inference = ed.HMC({mu: mc_mu, t: mc_t}, data={X: D})\n",
- " inference.run(step_size=0.01, n_steps=10)\n",
- " mu_samples, t_samples = session.run([mc_mu.params, mc_t.params])\n",
- " # Create a dataframe of the generated samples.\n",
- " samples = pd.DataFrame({'mu': mu_samples, 'sigma': np.exp(t_samples)})\n",
+ " gen = np.random.RandomState(seed)\n",
+ " samples = MCMC_sample(M1_logpost, D=D,\n",
+ " mu=[mu_init], t=[t_init],\n",
+ " nsamples=n_mc, random_state=gen)\n",
+ " # Replace t=log(sigma) with sigma.\n",
+ " samples['sigma'] = np.exp(samples['t'])\n",
+ " samples.drop(columns='t', inplace=True)\n",
" # --------------------------------------------------------------------------\n",
" # Build a parameter grid for estimating the evidence.\n",
" # --------------------------------------------------------------------------\n",
- " mu_grid = np.linspace(*np.percentile(mu_samples, (0.5, 99.5)), n_grid)\n",
- " sigma_grid = np.linspace(*np.exp(np.percentile(t_samples, (0.5, 99.5))), n_grid)\n",
+ " mu_grid = np.linspace(*np.percentile(samples['mu'], (0.5, 99.5)), n_grid)\n",
+ " sigma_grid = np.linspace(*np.percentile(samples['sigma'], (0.5, 99.5)), n_grid)\n",
" # --------------------------------------------------------------------------\n",
" # Evaluate the posterior numerator P(D|mu,sigma) P(mu,sigma) on the grid.\n",
" # --------------------------------------------------------------------------\n",
@@ -456,8 +472,8 @@
" levels=[1, 2, 4, 8], colors='r', linewidths=2, linestyles='--')\n",
" ax[0].set_xlim(mu_grid[0], mu_grid[-1])\n",
" ax[0].set_ylim(sigma_grid[0], sigma_grid[-1])\n",
- " ax[0].set_xlabel('$\\mu$')\n",
- " ax[0].set_ylabel('$\\sigma$')\n",
+ " ax[0].set_xlabel('$\\\\mu$')\n",
+ " ax[0].set_ylabel('$\\\\sigma$')\n",
" ax[1].scatter(log_numerator_grid.flatten(),\n",
" (log_numerator_grid - log_density_grid).flatten(),\n",
" s=5, lw=0, c='r')\n",
@@ -465,46 +481,95 @@
" (log_numerator_grid - log_density_grid)[use].flatten(),\n",
" s=5, lw=0, c='g')\n",
" ax[1].axhline(log_evidence, c='g')\n",
- " ax[1].set_xlabel('$\\log P(D\\mid \\mu,\\sigma, M_1) + \\log P(\\mu,\\sigma\\mid M_1)$')\n",
- " ax[1].set_ylabel('$\\log P(D\\mid M_1)$')\n",
- " plt.subplots_adjust(wspace=0.22)\n",
+ " ax[1].set_xlabel('$\\\\log P(D\\\\mid \\\\mu,\\\\sigma, M_1) + \\\\log P(\\\\mu,\\\\sigma\\\\mid M_1)$')\n",
+ " ax[1].set_ylabel('$\\\\log P(D\\\\mid M_1)$')\n",
+ " plt.subplots_adjust(wspace=0.25)\n",
" return log_evidence"
]
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 11,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "
"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
"E_Da_M1 = calculate_M1_evidence(Da)"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In the left-hand plot above, the solid black contours show the shape of the un-normalized posterior and the dashed red contours show the GMM density model fit to the MCMC samples. These do not need to agree exactly, but better agreement will lead to a more accurate estimate of the evidence $P(Da\\mid M1)$. In this example, we are using a GMM with a single component but the posterior is slightly non-Gaussian, so we could try increasing the number of MCMC samples and adding another GMM component.\n",
+ "\n",
+ "The right-hand plot shows many independent estimates of the evidence, calculated as the ratio of the un-normalized posterior (solid black contours) and GMM density model (dashed red contours) on a uniform 2D grid of $(\\mu, \\sigma)$ points. To combine these independent estimates, we take the median of the green values, where the posterior probability is largest (so this procedure should be more accurate). Review the [MCMC notebook](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/MCMC.ipynb) for a simpler 1D example of evidence estimation with the same approach."
+ ]
+ },
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 12,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ "
"
+ ],
+ "text/plain": [
+ " logM1 logM2 log10(Bayes) log10(Odds)\n",
+ "Da -139.9 -142.7 1.2 1.2\n",
+ "Db -81.5 -39.6 -18.2 -18.2\n",
+ "Dc -143.3 -141.6 -0.7 -0.7"
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
"def summarize(M1_prior=0.5, M2_prior=0.5):\n",
" results = pd.DataFrame({\n",
" 'logM1': [E_Da_M1, E_Db_M1, E_Dc_M1],\n",
" 'logM2': [E_Da_M2, E_Db_M2, E_Dc_M2]},\n",
" index=('Da', 'Db', 'Dc'))\n",
- " results['Bayes'] = np.exp(results['logM1'] - results['logM2'])\n",
- " results['Odds'] = results['Bayes'] * M1_prior / M2_prior\n",
- " return results.round(2)\n",
+ " results['log10(Bayes)'] = (results['logM1'] - results['logM2']) / np.log(10.)\n",
+ " results['log10(Odds)'] = results['log10(Bayes)'] + np.log10(M1_prior / M2_prior)\n",
+ " return results.round(1)\n",
" \n",
"summarize()"
]
@@ -703,9 +854,90 @@
"metadata": {},
"source": [
"To summarize in words:\n",
- " - M1 is \"strongly\" (but not \"decisively\") by Da.\n",
- " - M2 is \"decisively\" supported by Db.\n",
- " - M2 is mildy supported by Dc, but the evidence is not \"strong\"."
+ " - M1 is \"strongly\" (but not \"decisively\") favored by data Da (which was in fact generated from M1).\n",
+ " - M2 is \"decisively\" supported by data Db (which was in fact generated from M2).\n",
+ " - M2 is mildy supported by data Dc (generated from M2) but the evidence is not \"strong\"."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "If we have a prior bias that M1 is 10x more likely than M1, this would mostly affect our assessment for Dc, which now slightly prefers M1:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
\n",
+ "
logM1
\n",
+ "
logM2
\n",
+ "
log10(Bayes)
\n",
+ "
log10(Odds)
\n",
+ "
\n",
+ " \n",
+ " \n",
+ "
\n",
+ "
Da
\n",
+ "
-139.9
\n",
+ "
-142.7
\n",
+ "
1.2
\n",
+ "
2.2
\n",
+ "
\n",
+ "
\n",
+ "
Db
\n",
+ "
-81.5
\n",
+ "
-39.6
\n",
+ "
-18.2
\n",
+ "
-17.2
\n",
+ "
\n",
+ "
\n",
+ "
Dc
\n",
+ "
-143.3
\n",
+ "
-141.6
\n",
+ "
-0.7
\n",
+ "
0.3
\n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " logM1 logM2 log10(Bayes) log10(Odds)\n",
+ "Da -139.9 -142.7 1.2 2.2\n",
+ "Db -81.5 -39.6 -18.2 -17.2\n",
+ "Dc -143.3 -141.6 -0.7 0.3"
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "summarize(M1_prior=10, M2_prior=1)"
]
}
],
@@ -725,7 +957,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.5"
}
},
"nbformat": 4,
diff --git a/notebooks/NNTricks.ipynb b/notebooks/NNTricks.ipynb
new file mode 100644
index 0000000..7afab32
--- /dev/null
+++ b/notebooks/NNTricks.ipynb
@@ -0,0 +1,1451 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Machine Learning and Statistics for Physicists"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n",
+ "\n",
+ "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
+ "\n",
+ "##### ► [View table of contents](Contents.ipynb)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns; sns.set()\n",
+ "import numpy as np\n",
+ "import pandas as pd"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "These are the PyTorch imports you will normally need:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import torch.nn\n",
+ "import torch.optim\n",
+ "import torch.utils.data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import mls.torch"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Best Practices for Neural Networks"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In the [previous notebook](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/NeuralNetworks.ipynb) we focused on the static building blocks used to create a neural network model. We now turn to the \"dynamics\" of learning to explain our data with the model.\n",
+ "\n",
+ "The techniques described below are the current \"best practices\", but keep in mind that most do not have a solid theoretical basis and are justified by empirical studies on benchmark problems that might be quite different from your problem.\n",
+ "\n",
+ "A good source for a deeper dive into these topics is [Improving Deep Neural Networks: Hyperparameter tuning, Regularization and Optimization](https://www.coursera.org/learn/deep-neural-network/home/welcome) on Coursera, which you can audit for free."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Test Problem"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We start by setting up a test problem that we will use throughout this notebook.\n",
+ "\n",
+ "Our problem is to learn the function $y(x) = \\sin(x)$ with samples of $x$ drawn from a uniform distribution on [-3,+3]. Create 1000 TRAIN samples and 100 TEST samples:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "x_train = 6 * torch.rand((1000, 1)) - 3\n",
+ "y_train = torch.sin(x_train)\n",
+ "x_test = 6 * torch.rand((100, 1)) - 3\n",
+ "y_test = torch.sin(x_test)\n",
+ "plt.plot(x_test.numpy(), y_test.numpy(), '.', label='TEST')\n",
+ "plt.legend();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Build a simple fully connected network with 1 input for $x$, 1 output for $y(x)$, and 2 hidden layers with 20 and 25 nodes:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(1, 20),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Linear(20, 25),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Linear(25, 1),\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden",
+ "solution2_first": true
+ },
+ "source": [
+ "**EXERCISE:** How many parameters does this model have? Compare with the size of our training dataset. What are the model's hyperparameters?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "**ANSWER:** Each layer has $(n_\\text{in} + 1) n_\\text{out}$ parameters, so the total number is:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "591"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "2 * 20 + 21 * 25 + 26 * 1"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "We can query the model directly for details about its parameters:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{'0.weight': torch.Size([20, 1]),\n",
+ " '0.bias': torch.Size([20]),\n",
+ " '2.weight': torch.Size([25, 20]),\n",
+ " '2.bias': torch.Size([25]),\n",
+ " '4.weight': torch.Size([1, 25]),\n",
+ " '4.bias': torch.Size([1])}"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "{n: theta.shape for n, theta in net.named_parameters()}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "591"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "np.sum([np.prod(theta.shape) for theta in net.parameters()])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "Since there are almost as many parameters (591) as training data values (1000), there is a real danger of \"overfitting\" (memorizing the training data). Note that a polynomial model with only 4 (carefully chosen) parameters does an excellent job of \"learning\" $y(x) = \\sin(x)$:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "simple_model = lambda x: x - x ** 3 / 6 + x ** 5 / 120 - x ** 7 / 5040\n",
+ "y_pred = simple_model(x_test)\n",
+ "plt.plot(x_test.numpy(), y_pred.numpy(), '.', label='4-param model')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "This model has no explicit numerical hyperparameters, but its entire architecture is an arbitrary choice that we do not learn from the data. Therefore, we should really consider the number of hidden layers, nodes per hidden layer, and choice of activation function as \"hyperparameters\".\n",
+ "\n",
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Our choice of ReLU activation is fairly arbitrary here (since other activations would also work). We do not use any activation on the final outputs since this is a regression problem (although a Tanh activation could work in this example since our output range is [-1, +1]).\n",
+ "\n",
+ "Save the initial state of the network so we can restore it before each of our learning experiments below (details [here](https://pytorch.org/tutorials/beginner/saving_loading_models.html#saving-loading-model-for-inference)):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "torch.save(net.state_dict(), 'net.pth')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Finally, define the [loss function](https://pytorch.org/docs/stable/nn.html#mseloss) we will use throughout:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "loss_fn = torch.nn.MSELoss()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Since our network is initialized with random weights, its initial prediction is completely wrong:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "y_pred = net(x_test).detach()\n",
+ "plt.plot(x_test.numpy(), y_pred.numpy(), 'k.');\n",
+ "plt.plot(x_test.numpy(), y_test.numpy(), 'r.');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "However, our prediction is still a smooth (and differentiable) function of $x$, by construction!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Training Loop"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Train the network for 200 \"epochs\" (one full pass through the training data) using [stochastic gradient descent (SGD)](https://pytorch.org/docs/stable/optim.html#torch.optim.SGD) to update the parameters after each epoch. The parameter update rule is:\n",
+ "$$\n",
+ "\\theta_k \\rightarrow \\theta_k - \\eta \\dot{\\theta}_k\n",
+ "$$\n",
+ "but with a new [momentum hyperparameter](http://ruder.io/optimizing-gradient-descent/) $\\rho$ which smooths out the estimated gradient over many cycles:\n",
+ "$$\n",
+ "\\dot{\\theta}_k \\rightarrow \\frac{\\partial\\ell}{\\partial\\theta_k} + \\rho \\dot{\\theta}_k \\; .\n",
+ "$$\n",
+ "With $\\rho = 0$, this reduces to the simpler SGD rule we used earlier."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "optimizer = torch.optim.SGD(net.parameters(), lr=0.1, momentum=0.9)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here is the standard PyTorch training and test loop that we will build on below:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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4wNn6sGXuJtseK8eyCiECnqzg9gLXYj1b5m427T7FHWFfY8FAO7yXPf/+huKgOC4v/oQww85lWFj57STuumuSBIYQImBJWHiJJTaJ+NgkJrOWoP2m89Ru0yCxZDc1V1icD9Jbz5dtQIQQAc0vA9ztSezAoWiWIMyaa10DDYVCw1AaBjqHzW6yDYgQIqBJy8LLXF1SBRmfEXwkHV0pDHTeqbiKMf0v4WRwD+6SMQshRICTsPABS2wScZOTOLLvKvK/y6CwQ08mDB9OUvdODPR3cUII0QQSFj7Ua9BQeg2SrT+EEK2PjFkIIYRolISFH8mWIEKI1kK6ofzEfX63aadKs7I7MVUW5wkhApa0LPykzpYghnNLkGWvZ8geUkKIgCRh4SfW+IGgB2HiXGtxwB6HYZjszz3t79KEEOIc0g3lJ7W3BFm1yyTX6IrFosviPCFEQJKw8CPXliB3JRWT9/1ekoJsxFoLABm3EEIEFgkLHzNs2TjyMt1ncgP0/CGD2MOvgTIpy/qQ/MhhdLh0rKzJEEIEDAkLH6o9A6paDyJsykIAqra+hlIGGoBpEFe0E8e2DHacnsdV40a5A6byR1dASLxf/w1CiPZJwsKHas+AUoaD775Mp2tkKOE1QaGU8+t0DSzK5OCuHcR0DiXqq5fAtJOf8S6htyx0t0iEEMJXZDaUD7lmQCl07Epjw4FgVu0yMTQrhgIDMNAxFCigxAwm+5uvUcbZgHHkZfr7nyGEaIekZeFDrhlQ332ZzoYDwRx2RKMbsC1mBmVHviOrOpZultNMC/sKHcUdYTt4u+gqhobpBGkmSrNwIiiBXv7+hwgh2h0JCx+zxCYRNjyaYwcy0DUTi0Vn4PBhMHw44bmnGVa9E30/aDi7osK0Kl4qmUi/IBsH7LFY/pPFnFPZxA4cKt1RQgifkbDwg6TunXhwxjD2555mQM/O7i0+krp3wrA5KM9OQxkODDQOOuI4YsaAHYYHH2RESDaW/YqSrE0Uj5ovM6aEED4hYeEnSd07NbgPlKurypGXyemgBK4oiWSyI58+/03DinMgXAMM0+DLTzdj79xb9pMSQnidhEUAssQmYYlNohfQC6jK2EeV5jq5G0zlHAjPqo4lXM7uFkL4QLNmQ1VXV5OXl+etWoQH1viBaJYg0HSUZiG9uj8vlUzkGLGyPYgQwicaDYv//Oc/PPHEE5SWljJ58mSmTp3KP//5T1/UJmq4u6aGTOXF0kmsKRvJETOGGTf0k1aFEMInGg2LlStXctddd5GWlsbQoUP57LPP2LBhgy9qE7VYYpPYE3o1B6u7Oh9QirIKu3+LEkK0G42GhVKKAQMGsH37dsaPH094eDjKtdRY+NTgvl2xWnTnCm/ZoVYI4UONDnDrus4HH3zA1q1beeihh/jiiy/QNM0XtYl6BiZG1Zly29taQFXGljqbEgohhDc0GhYPPfQQL7zwAr/+9a+Jjo5m+fLlLFq0yBe1iQa4ptw2tCmhBIYQwlsaDYvhw4ezatUqwDkb6tlnnyU+XnY+9be6x7LasWXuJl7CQgjhJTIbKoAZtmyqMt7DsGWf8zlr/ECUZsVQGg6ls2qXyee7j/N+eo6c4y2EaHEyGypAubqZqneuo/y9pecEhiU2id2JqXxYOZQXSyZiGIoTX6xj17avWPZ6hgSGEKJFyWyoANXQ2ReZOUV1vib+0iF8br8cDbg3Io3JHXZxb0QaCdjYn3vaP4ULIdqkRsPCNRtqy5YtjBkzRmZD+UhDZ188umIb2ceL3d1Tva0FPDhjGFP7VROkmVg0sGDSP9gm02qFEC2qybOhHnjgAZkN5UMNnn2hmeR9v5fYI6+5Z0H1HD0TI8rEUWBBmSboOiOvG08vWdkthGhBTZ4Ndfz4cY4cOcIbb7zhi7rYsWMHb731Fkoprr76aqZPn+6T1w0k9c++sFp1koJs7u4pDDtVW18DTBQ6+Z2voMOlY2XbciFEi2s0LHJycrjvvvs4efIkpmnSuXNnVq5cSd++fb1a2A8//MDjjz9OcHAw9957b7sMC6h79sXIId2JLD1CeXYamA5AA2UCClOZ7Moz+PzIGR7sXCx7RgkhWlSjYfHEE08wb948br/9dgDWrVvHY489xquvvtqihbz88sts3brVff3KK6+glOKZZ54hNTW1RV+rtXEtxIuOjqCgIMh93oXWIZyq7f/GNOwY6Bywx2EYpntwu/7hSkIIcaEaDYtTp065gwLgzjvvdC/Sa0nz5s1j3rx57usffviBP/zhD8ycOZPBgwe3+Ou1Zq7zLrKPF5PXy0JM9VHW77eSa3TFYtGJceTzzbp3yaqO5d1tsTw4Y5gEhhDiojQaFoZhcObMGSIjIwEoKipq5DtaxpNPPsmJEyf45z//Sbdu3XjggQd88rqtRfbxYpa9noHDMLFa4plxQz8ur7AzKOIMndJfoF+Ig4khGp9X/ojynUcxrKNkOxAhxAXTVCOLJt58801eeeUVbrrpJjRN44MPPmD27NnMnDmzSS9QWlpKSkoKK1asICEhAYCNGzeyfPlyHA4Hs2fP5p577rn4f0k789YnWfzrw+8xFega/L+bLmX69f05vW09RZ+vdp6qV/OTVRoozYp5428YcNVVfq1bCNE6NdqyuPvuu+nZsydbt27FNE0WL17M6NGjm/Tke/bsYdGiReTk5Lgfs9lsPPfcc6xfv57g4GBSUlIYMWIESUkt/1fvqVOlmGbzFxA6xwZKWryei1W7roQuYVgsOhgmFotOQpcwCgpKMDr1RtMsKGWgac7A0HGe2Z32bhpFQd1avEsqUO8XBG5tUlfzSF3N19zadF2jS5dwz59vypOMGjWKBx98kIceeojRo0fzpz/9qUkvvmbNGhYvXkxMTIz7se3btzNy5EgiIyMJCwtj0qRJbNq0qUnPJ85yzZK6fXyfOmMSltgkQsbOcgZGzdfWPrNbVnYLIS5Eoy2LhqxevbpJYwhLliw557GTJ08SHR3tvo6JiWHv3r0XUka755olVV/wpddgiUrAlrmbDzIKCaOKbEccx1QMM2VltxDiAlxQWFzM3lCmadbZLkQpJduHtBDDlo0jL5MTQQnsK4lkQNKNXJME27/NJxGYObjlu6CEEO3DBYXFxfxyj4uLY+fOne7rgoKCOt1U4sK4dqlVhp1wpbOrZKJ72mzq5IH+Lk8I0cp5DIu0tLQGH1dKYZrmBb/g6NGjef755ykqKiI0NJS0tDSeeOKJC34+4eTapVZDYcGkr/UER6qi2Z97WloTQoiL5jEsXnvtNY/fdDGL5GJjY1mwYAGpqanY7XamTZvGkCFDLvj5hJM1fiDVehDKcGCgcdARh8Wiy+6zQogW0eg6i9asLU+dbcg5Yxb1tvowbNlUZ21DA05Zozmaa6OwQ08GDh9+Ua2PQL1fELi1SV3NI3U1X0tPnb2gMQsRmFzbgPQCetX7nGHLpnzj02A6UECEgksBBxZWvFnI3XdPlu4qIYRHTVpnIVo/55iGAwDX9AS95rCk3voJWX8hhDgvCYt2who/EKVZUOrsNiCuxXqHzTgZ2xBCnJfHbqi8vDzi4+Mb/NzmzZsZP36814oSLcs1lpHV7SYKDmeBguNGFAmXgKNrP+6+yDELIUTb57Flcd9997k/vv/+++t87rnnnvNeRaJFudZfVO9cR/8TH5HhSGJdxUh2GANJmjyDKVOvl6AQQjTKY8ui9iSpo0ePevycCGyu9RcohYbBnCt0MoL7yKFIQohm8diyqL1Ku/6Kbdmeo/Wwxg8EPQg0HaVZyLbHegwKw5ZNVcZ7GLZsP1QqhAhkTWpZiNbLEptE2JSF2DJ3s2qXycFv7Fh3Z9TZqda1/sKxfwuYDqo1CyFjZxF86TX+LV4IETA8hoVpmhQXF6OUwjAM98fgPD1PtB6W2CQyDlk5WH0IpXCf093bWlAnJNyUQdXW17BEJcjpekII4DxhkZWVxciRI90BMWLECPfnpBuq9RnQszNWi45Rc1jSoIgzlL/3EhjVdb5OQc0peybffZlO2PBoGdsQQngOi8zMTF/WIbzMdVjS/tzTDOjZmbiTW6g27XW+RqFjKoWGwoHOhgPBHDtQt8tKCNE+nXe7D1cXlNVqpbS0lO3btzNgwAB69aq/mYRoDWoflmRYnRsPYjpA0wkaMI6PixLYdaCQJOsJsh1x5Dii0TVTdq4VQngOi+zsbH72s5/xu9/9jlGjRjF9+nQASktLefrppxkzZozPihQtzzXw7dp48ItjHdiyPw/DjCbH4TzJUNOQnWuFEMB5wmLp0qX86le/4tprr2XdunUAvP/++9hsNhYsWCBh0QZYYpM47Ihm2esZ2B1nzyjRgKH9utIn/hJZjyGEAM4TFvn5+dx6660AfPXVV1x//fXouk63bt0oLS31WYHCu/bnnsZh1D3MymrVuWlkL3pbC3DkbeHI6Ya3PBdCtB8ew0LXz67Xy8jIYNGiRe7rqqoq71YlfKb2LClN1xg3uBujB3ejt7XAfUxrhNLQq5J4fXtfxl0/lmuGdvd32UIIH/MYFp06dSIzM5PS0lIKCgq46qqrANi1axexsbE+K1B4V/1ZUq6WQ+WWd8CoRgOsKEaHZHF1yEGWfwIJ0c6zL1wbFFb+6AoIaXjTSSFE2+AxLH79618zZ84cSktL+c1vfkNYWBh///vfWbFiBS+++KIvaxReVnuWFDhXdNv3b6H2Gn5dA4tynu2d9/1euh865FzMpwzyM94l9JaFsoBPiDbMY1gMHTqUzZs3U1lZySWXXALAsGHDeOutt0hMTPRVfcIPHHmZKNNAw3nmhUKDmrMvKujA0JxXcdRao6EMB468TAkLIdowj2Fx5syZcz7u06eP+zoyMtLLpQl/scYPpEKzgGlgoPN2+VUMig+huksSk4NsaFmOOl+vWazODQuFEG2Wx7AYOXKke1uP+psKaprG999/793KhN9YYpMoHjWfLz/dTFZ1LMeI5Zqxw9zjFOXZae7FfOUJV5MbMYTOjmikXSFE2+UxLG677TYyMjK47rrruPPOO0lKkl8F7UmvQUOxd+5NeO5pZvTsTG9rAVUZW7DGD3Qv5ttb2oX/S6/EVOVY02VbECHaMo9h8fTTT1NRUUFaWhpLliyhvLycW2+9leTkZPcYhmjbXAPfrtP2MO1UoZMfOYwf4q5kZXolpulsdToM2RZEiLbsvHtDhYaGMnXqVKZOncqJEyfYsGEDqampJCYm8uc//9lXNQo/q33aHsogrmgnXYsy6KlPJMd0bg2ia5psCyJEG3besKitqKiIoqIiTp8+TZcuXbxZkwgw1njnpoNmzboL1zTa/kE2NKBfkI2+V1wlrQoh2rDzhkV+fj7vvvsuGzZswGKxcOutt7JmzRpZlNfOuDYdLMj4jOAj6ehKYaBz2cAeTM59H10ZaFn7MPpHy/RZIdooj2Exa9YsDh8+zM0338wzzzzDj370I1/WJQKMJTaJuMlJHNl3FcUHv6VT38H0tx+jOtcAFJiy1kKItsxjWOzYsYOQkBDeeust1q5d635cKYWmaezatcsnBYrA0mvQULI792Zf7mmIgCjXmRi6rLUQoi3zGBaffPKJL+sQrUT28WKWvZ6BwzB516LzyOR76RtcQFWn3u5WhWHLxpa5m2x7LPGXDpGxDCHaAI9h0b277CwqzuXa0lwpMAyTfSWRDL91HOm7j7E/PYdBEWfo/OWLhBl2LsPCym8ncdddkyQwhGjlmjwbSgiou6W56xS9zJwid2ujNHQfkzs4sGiAMumt58v6CyHaAAkL0SwNbWn++d58ErAxPPQgl2gVGEpD4dx48JARx92y/kKIVk/CQjRb/S3Nh1xSzJCIj7DiPHHPQCO9qh87q/vSa9Dl7q91nX9hjR8os6aEaGUkLMRFi6k+SpFmotVc60pxRnXkGLHMGNwNw5ZNddY29/kX1XoQYVPk/AshWpOADYsDBw7w/PPPExYWRnJyMmPGjPF3ScKD0F6XgWZBmQbg7H6KSBzEg8OHuY9nxag++w2yJkOIVidgw6K8vJxHHnkEi8XCs88+K2ERwDokDGB37zmUfb8FFOys7suEvsH0OLmFqoJDdYMCZE2GEK1QwITFyy+/zNatW93Xr7zyCrm5ueXMGTwAAB26SURBVDz88MOkpqb6sTLRFPGXDmHZbgPDMOkTXMjQnFepPmSvczQrmoXggeMJ6j9GWhVCtDIBExbz5s1j3rx57ut9+/aRmJjIG2+8wdy5c7n55pv9WJ1oTO1ZUsOqi86epqdA05zHs6ZX9eVk2QhGO6LpLYPdQrQqARMW9VVVVfHoo48SHh7OhAkT/F2OaIKz5184KM9Oc+9SaypwYOHrqr7k7M4j9797uC/iP1iUQbVFBruFaA00Vf/M1BZWWlpKSkoKK1asICEhAYCNGzeyfPlyHA4Hs2fP5p577vFmCcIPKo/tJ3f3Dtan5xNKFdmOOHIczrMvbujwLTeHZmDRQKGR12Mi0eOnMTAxys9VCyE88WrLYs+ePSxatIicnBz3Yzabjeeee47169cTHBxMSkoKI0aM8MqxradOlbpPcmuO6OgICgpKWryei9Wq6gqJp/OIqUxIKGb7t/l0Lqvm2KFTGIaiTIUAGqZSGGjkHDjM+sy3vbItSKu6ZwFA6mqeQK0Lml+brmt06RLu+fMtUZQna9asYfHixcTExLgf2759OyNHjiQyMpKwsDAmTZrEpk2bvFmG8KOk7p1InTyQ++8cwsKZV3D7pYo7wnYAChPQgJEhWfwi7EPOZPzHz9UKITzxastiyZIl5zx28uRJoqOj3dcxMTHs3bvXm2WIAJHUvRM9TlZQZXMu4FOAUia65tz6vl/+B1R/3xVVWSoD30IEGJ8PcJumiaZp7mvX+RiifbDGD6Ta4jwDQ9N0lGnUvAdAmSaVW19FQ8kqbyECjFe7oRoSFxdHQUGB+7qgoKBON5Vo21xHtAYPv4Ow5Ic5EH8LJhqmAhMNpUxQCmU4+O7LdLKPF/u7ZCEEfgiL0aNHk56eTlFRERUVFaSlpTF+/HhflyH8yBKbRMiwKVhik4gcdiMvld/EBxXDWFs+AoeyYCgNh4KS3CwOvv0iR/bt9nfJQrR7Pu+Gio2NZcGCBaSmpmK325k2bRpDhgzxdRnCz7KPF7u3Ob/rrkls2HqI/x4+Tb7RmauCDzIy5ACDg48CoNIPYkT/VrqkhPAjn4TFp59+Wuc6OTmZ5ORkX7y0CEC1j2a1WnQenDGMqWP7kHU0g1wjmv7Y0HGOYwCgDNl4UAg/83k3lBD1j2Z1naT3yORI/nfgccZdlYSmW5yzpQBNNh4Uwu8CdrsP0XY1dDSrYcsm6quXiDLtUBhEyNhZFB05QHFJFT/EXUnFt/kkZe4mduDQOi0MOVBJCN+QsBA+19DRrFUZW8C0g1JgOig8Wchj+/phd5gkHsnlvog0LBiUHfiIjskPYYlNwrBlO8/KMO0y1VYIL5OwEH5R/2hWa/xAqnXn+gt0K9n2WByG3fm11hNYMLBoYJoOsjdvIiImjii9rE7AyLiGEN4jYSECgmv9hatLKd4RjXV3Bg6HSbYjDgMLKBMTjeiiXehFJtWafnZBp4xrCOFVEhYiYFhikzjsiGb/odMM6Im7q6pj6AC+K4wn+FQ2RsEhBgUddW4RglkzAm4hZPRMaVUI4UUSFiJgNDSl9pZRic5BbFVMYcdYQs9sce4rpXDuQgiAQlWW+q9wIdoBCQsRMBqaUtvbWuAexL4EHaUp9yaEaDqmUmiaBa1DOFUZ78msKCG8RMJCBIyGptQ68mrNksJE03ScZ7VaWFs2nFAqqaADd25bjWY6qNKt7tlSQoiWI2EhAkZDU2oNa91ZUiGjZ1J4spBPjoWxrbADCrixw7cow46ugWE4sGXuJr6BsJA1GUJcOAkLEVDqT6l1zZKyZe4m2x6LWdWH13eA3WECoGmQbbhmSxkoIK8E4us9b501GZqFoAHjCOo/RkJDiCaSsBAB77AjmmU7uuIw7GhaFqrmqFwNSIyLIDK8K+8cPc2doV+ho+h/4iMM21AATmcdxujUG0de5tnuLOXA/v1n2LO2yUI+IZpIwkIEvNoD3yiFrmvOA5N0jaMnS8k5UcKNodVoWs1mZ6aDym3/xizKpVyZoFsJGnQDzs8aZ59YFvIJ0WQSFiLg1R/4nnFDP8oq7JwqruSLPXkoBQeqY5kc6uyKAoVZeOjsExjV2PduAmUCOugamM4TwLUOng+oF0KcJWEhAl5DA9/gXJexbd8JDMPkGLEUj5pP9JGPcRz/Dg3lnF7ropznfqOBpcflGLl7QJlUbf83lqgEaV0I0QgJC9Eq1B/4dj1WO0TswKcHhzFKfY8F5wC461wMpUBpzu3O9bBOGJiA7CklRFNJWIhWzRUirtXfdofGLutEkqwnKFMh3BG2A0vNnlIFna8gafxkAOxZ29zTcT0t6JOptkKcJWEh2gTXIDhAjiOaHEc0APlGZ5KsJzhsxnH3lMlYYp3BktdrFklBNqI6mFRtfQ2USbUliJDRM1GVpajqcux7P3I/LrOmRHsnYSHahNqD4JquMW5wN3rGRVBQ3IuKCjtj4iLYn3uaYwWlvP7xARyGSd9gk/nhm9CUM2QwqmuCw6j75IZduqpEuydhIdoET4Pg0dERpO8+5t6gUNM0lOkc/O6t5aNcA98AaOcGRc3jqvQUhi1bAkO0WxIWos1oaBAc6q7TUEq5w+GAIw6HsmDVDDQ0OLtFYa0AcU61tX//GfbMzQQNmYQWHCbjG6LdkbAQbd6Anp3RdQ3DqJlMW5MJOY5oXixxDoZHWcoYGZzlPI1PQWXcYDr1HIAqPYX9+8+c36cM7Hs+AHBuGVITHDK+IdoD3d8FCOFtSd07MW5wt7MPKLDozrZEjiOajysHs6OqLwYWDKXhwEJmx6sJGTaFoP5jQLOc+6Q1wVG9Y60zQGoWA2JUU7XzHQxbtq/+eUL4hISFaBdGD+5GkFVH18Bq1blnYn8mDI3HaqkJDSOa5aUT+bByKCvLJ2F27cP76TkcdkQTMnZWw4HhgXH8O8rfW+oxMAxbNqe3rZdAEa2KdEOJdsHTAHjPuAhWp2VhmoojZgydEi4lAvj3f7JwGM59qCZd1YPY3nPcU22dXU4ND4Q7xzwUGHaqs7YRWm9cozprG479W9x7VkmXlWgtJCxEu9HQAHhZhR1TOWdHmYZi78FTGObZjUJMU/HhV7logNXalQdnDKN34hU48jLROoSjKkvr/Ldq27+ci/1QODI3U15ejB7WCYJDzw2ZBgJFiEAlYSHatdrrM9A0TFM1+HWKs0e90jOa/ZVWBsR0JunSuuFjFh6pMyBuHNlFQ20Q17M6MjdTCXK2hgh4EhaiXavdPdUxNIjXPz5QExw4t46qnR2axvGCMt7ZchjTVOgW5+K/0YO7uVssQf3HOLcSMexAw8FTe4ouynBPyw0ZO4vgS68BznZZaYDetReqslSm5Qq/krAQ7V7t7qmE6HD3uAY412iUVzpI23EUw1R8+V+b+/sMQ/H57jy2fJvvDg2IJq/XLPo7Mul49MtzxzZqptw6vvsY5agVKMqgasurOHL3Op87d0+979Wo1uWEP+E/EhZC1FJ/XCOpeyfeT8/BVJ5aCWdD44s9eeiahqkUVks/Hpl8FTGn9zTYOogYOpaTX/8HR+YXNedsAJgYR3Z5eBXnDrmeFgfKokDhbRIWQjTCNa7hcJjujiVNwxkM5tlzM5QCoyZUHA6Td/fr9ImfUGf2lUuHhAGEhsRT3bVXw/tRnU+9xYGWvldjHPzauShQt2DpMQQ9rJO0QESLkrAQohH1xzXKKuzubqrt3+azeU8e9cfFFZBxoJCMA4Xu6bdhHaznBEfwpddgiUpwTqnN3Hw2NDQLlp6Xo4d1Qu/aC6PwSL1WiOuFDIzs9LPXpsM9qG7P3HzOc7haOa6PJVBEU0lYCNEEnvadSure6exajZpWRf0eK9f0W8AdHOgaFRX2msHxJEJjkzD6j3EPajf0S7zZrZBGZ2PVDZSg/mMgeljTnlu0OwEdFoZhMGfOHBYuXMjgwYP9XY4QDbpmaHf3wLhrRlXtLqvaagcHwJa9eQzp25VOHYPpGRdBbtkIAEY7oqn/976rFeLIy6y1H1XtKNBrJlrVa32cT61AsWdupuDo9VR3jG+wFSKzstq3gA6LFStWEBMT4+8yhGhUQzOqas+i8sQwnd1V9dUOkdpTcy2xSe5f1EH1Fgda4wcCUJ21DVVe3MCMqkYog5JdaY1+mWsTRVVd4W4FATLA3sYFTFi8/PLLbN261X09Y8YM+vXrh2k2468kIQJA7eAY1j+6ycFRW+0Q2bI3j3FD4p0tjxMlgHObkrIKKwN6jjune8y1Irz+Wo36rYULChSoM8AOYP/+i5oWjaozwC5jI22LptR55gT60a9//WvCw8PZt28fffv2ZdmyZc1+jlOnSj2uyD2f6OgICgpKmv193iZ1NV8g1ZZ9vNjdVVVQXMmJwjL2HizEuIi/h1xjIBVVDoA6rZCmcAWKKi/GOLoXzJrdc1tavQF71/YoTQ2TQPo51haodUHza9N1jS5dwj1+PmDDwuX555/nmmuuuaAxCwkL3wjUuiBwa3PVlX28mO3f5gO4Ww7FZdUXHCIWnbpjIDUtkaaEiGHLJqT4MOVGUINjFg3ub9VSGpj9Vfv1Q0ODMHpcHXCtk0B9f0ErDIvS0lJSUlJYsWIFCQkJAGzcuJHly5fjcDiYPXs299xzj1deW8LCNwK1Lgjc2hqryxUixWXVfHvoFIahLurvfU8h4uzOsrun9DZWl2vxn6tVULdFojV/gL05PASKP7u4AvX9Ba0sLPbs2cOiRYs4fPgwmzZtIiEhAZvNxowZM1i/fj3BwcGkpKTw7LPPkpQUWH8xCBEoMnOK+PZgIRFhwRw6fgbQCOtg5Z0vDjZ5DKQxFl3jtgl96RgaVOd1rhveg4GJUef93spj+6k48h2hvS4DoGTv56BBSGwfqk4cwig7Q3n2NzWB4gW6hbCkK7GER7pf0/X6RkUJltAIjIoSQntdRoeEAd6poR3walg8+uij3H777SxcuJBXX32VhIQE3n77bXbs2MFTTz0FwIsvvohSivnz57f460vLwjcCtS4I3Npaoq7aYyAX233lyflaJM3t4qq/MWKd1smFDLQ3V71ZXC0xLThQ31/Q8i0Lr86GWrJkyTmPnTx5kujoaPd1TEwMe/fu9WYZQrRJDS0UbOkxEE9Te2s7Z61Ig11cSec9t6OxmVvBRhnlB765uECpN4urIfWnBcs6k7N8PnXWNE00TXNfK6XqXAshLpynleYNhQhAaIi1WVN6G9JYoNSfseUKEVeLyP2YteF9tMD5V/KJfRnnBEqLt0qaGSgFoUFUd4w/Z3ZXWwwWn4dFXFwcO3fudF8XFBTIwjshvMxTiMDZtSAdQ4NA18E0W7Rbq/6q9fNpKFhyT5QQGhpMdKfQsyvc+3QjycPZH/V/YTe82v0i1AqUxjp5GmuptKZw8XlYjB49mueff56ioiJCQ0NJS0vjiSee8HUZQogatYOkfj+3pxZJS3RxNaSpweJpm5SeERHklsW5Py6rdLZg9N7dSAqy0TWmq2+nBTehpVJbU7rBmrM+pSX5PCxiY2NZsGABqamp2O12pk2bxpAhQ3xdhhCiCc7XInHxZheXJ00ZS6lP17sw6aoEKqrOhkntYCmN6ULXylw6RkZiFh4BDbr27k+Uo8D760xcmhkunnYW9samkAG/KO9iyGwo3wjUuiBwa2svddWfsQUNj1l4M1guRv3ZYKVHMusEitVqwYxMcP/F7wqZ2JgoOh7+wvszvDzRrcTPepySkPimf4s/Z0MJIdq3prRMXGqPndTv7nKOWYR4bYqwJ+e2YDSgV83HtXtEOtV5zHIMru85nUQtv05LRe/Sq8GPQ8MjiD2xDTDRal7lopgOKo58B/2bHhaNkbAQQgSE8wVLc8dSXB+XVdibvYljSzBMSMsJ5pxgyfXwMZBoDSfJeoJyFcLlUeUEB+nnhEvtFkyIWUa3ioNoNJCaupXQXpc1OgDfHBIWQohWpzktFjh/q8XTx75swQDkOKLJcTjXoG3Pr3nwnHCp24JJtCZxVfBBAI4ZUSRYigDY5ejL/zii6RLScvVJWAgh2rzmhotLYy0YV/dY7TEYX4ZM7YCp79uDhVwzpFuLvZaEhRBCeNBYyHiaENDUbjJvtWasFo3Bfbte3JPUf84WfTYhhBAX3JKB8wdNQyvfPe3XNTAxqkVntklYCCFEALmYoPEm3d8FCCGECHwSFkIIIRolYSGEEKJREhZCCCEaJWEhhBCiUW16NpSuX/gOKxfzvd4kdTVfoNYmdTWP1NV8zamtsa9t07vOCiGEaBnSDSWEEKJREhZCCCEaJWEhhBCiURIWQgghGiVhIYQQolESFkIIIRolYSGEEKJREhZCCCEaJWEhhBCiURIWQgghGtWm94Zqro0bN7J8+XIcDgezZ8/mnnvu8VstL7zwAh9++CEAEyZMYOHChfz2t7/lm2++ITQ0FID58+dz4403+ry2WbNmUVRUhNXqfPs8/vjj5Obm+vXevfXWW/zrX/9yXx87doypU6dSUVHht3tWWlpKSkoKK1asICEhge3bt/OHP/yBqqoqbrrpJhYsWADA999/z6OPPkpZWRnDhw/nsccec99bX9T15ptv8tprr6FpGoMGDeKxxx4jODiYF154gXXr1nHJJZcAcNddd3n151q/Lk/vd0/30Ztq13bw4EGeffZZ9+dsNhuXX345K1eu9Ok9a+h3hFffY0oopZQ6ceKEuvbaa9Xp06dVWVmZSk5OVgcOHPBLLdu2bVN33323qqqqUtXV1So1NVWlpaWpKVOmKJvN5peaXEzTVGPHjlV2u939WCDdO6WUysrKUjfeeKM6deqU3+7Z7t271ZQpU9Rll12mjh49qioqKtSECRNUbm6ustvtau7cuerzzz9XSil1yy23qIyMDKWUUr/97W/V6tWrfVbXoUOH1I033qhKSkqUaZpq4cKF6h//+IdSSqmf//znateuXV6r5Xx1KaUa/Nmd7z76sjaXkydPquuvv14dPnxYKeW7e9bQ74iNGzd69T0m3VA1tm/fzsiRI4mMjCQsLIxJkyaxadMmv9QSHR3Nww8/THBwMEFBQfTt25e8vDzy8vJ45JFHSE5O5q9//Sumafq8tkOHDgEwd+5cbr31Vv71r38F1L0D+P3vf8+CBQsIDQ312z1bs2YNixcvJiYmBoC9e/fSq1cvevTogdVqJTk5mU2bNnH8+HEqKysZOnQoAHfccYdX7139uoKDg1m8eDHh4eFomkb//v3Jy8sDYN++faxcuZLk5GQef/xxqqqqfFZXRUVFgz87T/fRm+rXVtvSpUtJSUkhMTER8N09a+h3RE5OjlffYxIWNU6ePEl0dLT7OiYmBpvN5pda+vXr5/7B5uTk8OGHHzJu3DhGjhzJU089xZo1a9i5cydr1671eW0//PADo0aN4sUXX2TVqlW88cYb5OXlBcy92759O5WVldx0000UFhb67Z4tWbKE4cOHu689vb/qPx4dHe3Ve1e/ru7duzNmzBgAioqKWL16Nddffz1lZWVceumlPPjgg7z99tv88MMPvPTSSz6ry9PPzh//n9avzSUnJ4evv/6a1NRUAJ/es4Z+R2ia5tX3mIRFDdM00bSz+7krpepc+8OBAweYO3cuCxcupE+fPrz44ovExMQQGhrKrFmz+OKLL3xe07Bhw1i6dCkRERFERUUxbdo0/vrXvwbMvXvjjTf48Y9/DECPHj0C4p6B5/dXoLzvbDYbs2fP5s4772TEiBF07NiRv/3tb/Tt2xer1crcuXN9eu88/ewC5X4BvPnmm8ycOZPg4GAAv9yz2r8jevTo4dX3mIRFjbi4OAoKCtzXBQUFDTY7feWbb75hzpw5PPDAA9x+++3s37+fjz76yP15pZRXB0E92blzJ+np6XXq6N69e0Dcu+rqanbs2MF1110HEDD3DDy/v+o/XlhY6PN7d/DgQVJSUrj99tu57777AMjLy6vTCvP1vfP0swuk/08/+eQTbr75Zve1r+9Z/d8R3n6PSVjUGD16NOnp6RQVFVFRUUFaWhrjx4/3Sy35+fncd999PPPMM9xyyy2A84331FNPUVxcjN1u58033/TLTKiSkhKWLl1KVVUVpaWlvP322yxbtiwg7t3+/ftJTEwkLCwMCJx7BnD55Zdz+PBhjhw5gmEYvPfee4wfP57u3bsTEhLCN998A8CGDRt8eu9KS0v5yU9+wi9/+Uvmzp3rfrxDhw4sW7aMo0ePopRi9erVPr13nn52nu6jrxUVFVFZWUmPHj3cj/nynjX0O8Lb7zGZOlsjNjaWBQsWkJqait1uZ9q0aQwZMsQvtfz973+nqqqKp59+2v1YSkoKP/vZz5gxYwYOh4OJEycyZcoUn9d27bXXsmfPHm677TZM02TmzJlceeWVAXHvjh49SlxcnPt64MCBAXHPAEJCQnj66ae5//77qaqqYsKECUyePBmAZ555hkWLFlFaWspll13m7gP3hbVr11JYWMg//vEP/vGPfwBw3XXX8ctf/pLHH3+cX/ziF9jtdq644gp3954vnO9n5+k++tKxY8fqvNcAoqKifHbPPP2O8OZ7TI5VFUII0SjphhJCCNEoCQshhBCNkrAQQgjRKAkLIYQQjZKwEEII0SiZOivanCeffJIdO3YAzgVn3bt3p0OHDoBz1a3r48Z88sknpKens2jRIo9fY7PZ+OUvf8kbb7xx8YUDDz/8MNu2bSMqKqrO43feeWeLT6l9+OGH6devHz/5yU9a9HlF2yRTZ0Wbdt111/GXv/yFwYMH+7uUJvHlL3AJC9Ec0rIQ7c6gQYO4/vrryczM5JlnnmH//v28+eab2O12iouL+elPf8rMmTNZv349H330EStXrmTWrFkMHTqUXbt2kZ+fz6hRo3jiiSfIy8sjOTmZjIwMnn/+eY4fP05BQQHHjx8nNjaWZcuWERMTw969e/n973+P3W6nZ8+e5OXl8fDDDzNixIhm1X7ddddxyy23sG3bNkpKSvjxj3/MzJkzAdznUui6TteuXfnd735H7969KSsr48knn2TXrl1YLBZuuOEG9zkHGRkZpKSkUFhYSL9+/fjTn/7kXgEvRG0SFqLdsdvtXHvttfzlL39x/yL9v//7Pzp37szu3bvr/AKuLTc3l9dee43y8nJuuukmvv76axISEup8zc6dO3nnnXcIDw/nf/7nf3jjjTe49957uf/++3n88ceZMGECX375JXPmzPFY36pVq3j33XfrPLZ06VIGDBgAQHFxMevWrcNms3Hbbbdx5ZVXUlRUxMsvv8ybb75JVFQU69ev57777uP999/nr3/9K1VVVXzwwQcYhsHcuXP5+uuvAWc32quvvkpwcDDTp08nLS2N22677SLvsGiLJCxEu+Tacrpjx46sWLGCL774gpycHDIzMykvL2/we6699lp0XSc8PJxevXpRXFx8TlhcffXVhIeHA/CjH/2I4uJisrKyAOdpZgAjR46kX79+HmubM2fOebuGZs6ciaZpxMXFMW7cOLZt20ZhYSE333yze6zjjjvuYMmSJRw7dozt27fz29/+FovFgsVicZ8o+Pbbb3PDDTe4T6Lr168fRUVFjd470T7JbCjRLrm6Wk6cOMFtt93G8ePHufLKK/nVr37l8XtqD4xrmkZDw30NfY3FYjnnay0WywXXXnsnU9M00XW9wUOdlFI4HA6sVmudLanz8/M5ffr0Oc/l6d8kBEhYiHZu3759REVFce+99zJ27Fg+++wzAAzDaLHX6Nu3L8HBwWzevBlwnpqXlZV1wecwvPPOO4BzS+xt27Yxfvx4xo0bxwcffOBuGaxbt47IyEh69erFqFGjePvttzFNk+rqav73f//XPVtMiKaSbijRro0ZM4a1a9cyefJkNE3j6quvJioqiiNHjrTYa1itVp5//nkWL17Ms88+S2JiIl27dvU4hbehMYvLL7+cxx9/HHDueHrHHXdQWVnJokWL6NOnD3369GHOnDnMnj0b0zSJiopi5cqV6LrO/PnzWbJkCVOnTsUwDG6++WYmTpzIp59+2mL/RtH2ydRZIXzgj3/8Iz/5yU/o2rUr+fn5TJ06lY8//phLLrmkWc/T2qYCi7ZDWhZC+ED37t2ZM2cOVqsVpRRPPvlks4NCCH+SloUQQohGyQC3EEKIRklYCCGEaJSEhRBCiEZJWAghhGiUhIUQQohG/X+pg7DZwaVM5QAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net.load_state_dict(torch.load('net.pth'))\n",
+ "losses_train, losses_test = [], []\n",
+ "for epoch in range(200):\n",
+ " # Calculate the loss on the training sample.\n",
+ " net.train() # configure the model for training\n",
+ " y_pred = net(x_train)\n",
+ " loss = loss_fn(y_pred, y_train)\n",
+ " # Update the parameters.\n",
+ " optimizer.zero_grad()\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " # Save the training loss after each epoch.\n",
+ " losses_train.append(loss.data)\n",
+ " # Calculate and save the test loss after each epoch.\n",
+ " net.eval() # configure the model for evaluation (testing)\n",
+ " y_pred = net(x_test)\n",
+ " losses_test.append(loss_fn(y_pred, y_test).data)\n",
+ "plt.plot(losses_train, '.', label='TRAIN')\n",
+ "plt.plot(losses_test, '.', label='TEST')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The plot above compares the TRAIN and TEST losses (on a log scale) after each epoch of training. They track each other well which indicates that our learned model has not simply memorized the training data. The change in (log) slope after ~100 epochs indicates that there is not much benefit in going much beyond 200 epochs with the current training loop.\n",
+ "\n",
+ "Plot the final predictions for the TEST data, which look great:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "net.eval()\n",
+ "y_pred = net(x_test).detach()\n",
+ "plt.plot(x_test.numpy(), y_pred.numpy(), 'b.', ms=10);\n",
+ "plt.plot(x_test.numpy(), y_test.numpy(), 'rx');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The typical error in $y$ is ~0.01, which we could have predicted from the final loss ~1e-4 shown above:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "std(dy) = 0.008.\n",
+ "MSE = mean(dy ** 2) = 0.00007.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "dy = (y_pred - y_test).reshape(-1).numpy()\n",
+ "plt.hist(dy, bins=20)\n",
+ "print(f'std(dy) = {np.std(dy):.3f}.')\n",
+ "print(f'MSE = mean(dy ** 2) = {np.mean(dy ** 2):.5f}.')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Preprocessing"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Our input data is uniformly distributed on [-3,+3], which works well for this learning problem:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(x_train.reshape(-1));"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "However, the ability to learn a model can be quite sensitive to the input distribution. To demonstrate this, compare learning with different linear transformations applied to $x$:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "variations = {'x': x_train, '2x': 2 * x_train, 'x+3': x_train + 3}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net.train()\n",
+ "for label, x in variations.items():\n",
+ " optimizer.load_state_dict(torch.load('opt.pth'))\n",
+ " net.load_state_dict(torch.load('net.pth'))\n",
+ " losses = []\n",
+ " for epoch in range(200):\n",
+ " y_pred = net(x)\n",
+ " optimizer.zero_grad()\n",
+ " loss = loss_fn(y_pred, y_train)\n",
+ " losses.append(loss.data)\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " plt.plot(losses, '.', label=label)\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note how seemingly trivial changes to the input data drastically impact our ability to learn the model!\n",
+ "\n",
+ "The reason for this behavior is that individual modules have a range that their input distribution needs to cover for efficient learning. This is clearest for activation modules that saturate outside a narrow range centered on zero: they need inputs roughly centered on zero with enough samples probing their non-linearity but not too many samples saturating. A nice feature of ReLU is that it is scale invariant, although it still expects a distribution centered near zero (since it is not translation invariant).\n",
+ "\n",
+ "The case of linear modules is more subtle since they are mathematically degenerate with a linear transform of their inputs. However, they still set an effective scale through the distribution of their initial random weights and biases.\n",
+ "\n",
+ "The histograms below follow the input distribution through the first layer to show how the network responds differently in each case:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net.load_state_dict(torch.load('net.pth'))\n",
+ "mls.torch.trace(net, True)\n",
+ "bins = np.linspace(-6, 6, 50)\n",
+ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
+ "for i, (label, x) in enumerate(variations.items()):\n",
+ " y_pred = net(x)\n",
+ " ax = axes[i]\n",
+ " ax.hist(net[0].input.reshape(-1), bins=bins, histtype='step', label='IN0')\n",
+ " ax.hist(net[1].input.reshape(-1), bins=bins, histtype='step', label='IN1')\n",
+ " ax.hist(net[1].output.reshape(-1), bins=bins, histtype='step', label='OUT1')\n",
+ " ax.legend(title=label)\n",
+ " ax.set_yscale('log')\n",
+ "plt.tight_layout()\n",
+ "mls.torch.trace(net, False)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The solution to this problem is to carefully preprocess your network inputs to ensure that they flow \"smoothly\" (i.e., without saturation) through your initial layer. PyTorch does not provide utilities for this, but [sklearn.preprocessing](https://scikit-learn.org/stable/modules/preprocessing.html) is a good starting point.\n",
+ "\n",
+ "An alternative approach would be carefully tune the distribution of initial random Linear parameters, but preprocessing your inputs is the standard and simpler approach.\n",
+ "\n",
+ "We will see below that it can also be useful to standardize the distribution of hidden node values (aka \"BatchNorm\")."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Minibatch Training"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Recall that **stochastic** gradient descent involves performing parameter updates on random subsets of your data, known as \"minibatches\", rather than the whole data (as we did above). We now have the tools to study the tradeoffs when choosing the batch size hyperparameter value.\n",
+ "\n",
+ "PyTorch provides [convenient utilities](https://pytorch.org/docs/stable/data.html) for wrapping your training data tensors into a \"minibatch factory\":"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "xy_train = torch.utils.data.TensorDataset(x_train, y_train)\n",
+ "loader = torch.utils.data.DataLoader(xy_train, batch_size=5, shuffle=True)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We use the standard python iterator syntax to perform a random pass through the full data (one \"epoch\"):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "BATCH 0:\n",
+ " x_batch[:,0] = tensor([ 0.2595, 2.6137, 1.3224, 2.1310, -1.8430])\n",
+ " y_batch[:,0] = tensor([ 0.2566, 0.5037, 0.9693, 0.8471, -0.9632]).\n",
+ "BATCH 1:\n",
+ " x_batch[:,0] = tensor([2.6128, 2.4146, 1.7817, 2.1530, 1.1425])\n",
+ " y_batch[:,0] = tensor([0.5045, 0.6647, 0.9778, 0.8353, 0.9097]).\n",
+ "\n",
+ "...\n",
+ "\n",
+ "BATCH 198:\n",
+ " x_batch[:,0] = tensor([-2.3623, 0.5899, 0.9353, -2.8777, 1.7667])\n",
+ " y_batch[:,0] = tensor([-0.7028, 0.5562, 0.8048, -0.2608, 0.9809]).\n",
+ "BATCH 199:\n",
+ " x_batch[:,0] = tensor([-2.8350, 2.9135, 2.8679, 0.9135, -1.2125])\n",
+ " y_batch[:,0] = tensor([-0.3018, 0.2261, 0.2703, 0.7916, -0.9365]).\n"
+ ]
+ }
+ ],
+ "source": [
+ "for batch_num, (x_batch, y_batch) in enumerate(loader):\n",
+ " if batch_num < 2 or batch_num >= len(loader) - 2:\n",
+ " print(f'BATCH {batch_num}:\\n x_batch[:,0] = {x_batch[:,0]}\\n y_batch[:,0] = {y_batch[:,0]}.')\n",
+ " elif batch_num == 2:\n",
+ " print('\\n...\\n')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Update our training loop to use a `loader` and try different batch size values. Note that the learning rate should generally be adjusted when changing the batch size: with less data used for an update, we are less confident in how much to change the parameters and so want a correspondingly smaller step size (learning rate)."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net.train()\n",
+ "for batch_size, learning_rate in zip((10, 100, 1000), (0.01, 0.03, 0.1)):\n",
+ " optimizer = torch.optim.SGD(net.parameters(), lr=learning_rate, momentum=0.9)\n",
+ " net.load_state_dict(torch.load('net.pth'))\n",
+ " loader = torch.utils.data.DataLoader(xy_train, batch_size=batch_size, shuffle=True)\n",
+ " losses = []\n",
+ " for epoch in range(200):\n",
+ " for x_batch, y_batch in loader:\n",
+ " y_pred = net(x_batch)\n",
+ " optimizer.zero_grad()\n",
+ " loss = loss_fn(y_pred, y_batch)\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses.append(loss.data)\n",
+ " plt.plot(losses, '.', label=f'B={batch_size},lr={learning_rate:.2f}')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note that the smallest batch size learns fastest but is also very noisy. At the other extreme, putting all the data into a single big batch has a relatively smooth loss curve, but takes much longer to learn the data.\n",
+ "\n",
+ "In general, you should break your data into minibatches and the batchsize is yet another hyperparameter that you will need to choose carefully."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Learning Rate Optimization"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We discussed above how learning rate should be adjusted when tuning the batch size, but how do you find the \"best\" learning rate for a fixed batch size?\n",
+ " \n",
+ "We will start by running a study of learning progress (measured by the loss curve) for a fixed batch size of 200 (which might not be optimal, but gives less noisy loss curves) and varying learning rate:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "net.train()\n",
+ "loader = torch.utils.data.DataLoader(xy_train, batch_size=200, shuffle=True)\n",
+ "for learning_rate in (0.005, 0.02, 0.1, 0.25):\n",
+ " optimizer = torch.optim.SGD(net.parameters(), lr=learning_rate, momentum=0.9)\n",
+ " net.load_state_dict(torch.load('net.pth'))\n",
+ " losses = []\n",
+ " for epoch in range(200):\n",
+ " for x_batch, y_batch in loader:\n",
+ " y_pred = net(x_batch)\n",
+ " optimizer.zero_grad()\n",
+ " loss = loss_fn(y_pred, y_batch)\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses.append(loss.data)\n",
+ " plt.plot(losses, '.', label=f'lr={learning_rate:.3f}')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note how the learning progress depends very non-linearly on the learning rate: the best (0.10) and worst (0.25) learning rates are relatively similar! You should always study your loss curve and look for the features demonstrated in this example:\n",
+ " - $\\eta = 0.005$: Learning is slow and steady and appears ~linear on this log scale (after some initial rapid progress). This type of curve generally means you can safely increase your learning rate by a factor of ~10.\n",
+ " - $\\eta = 0.02$: Learning is proceeding well but slowing down after 200 epochs. If this is the best loss curve you can achieve after 200 epochs, just keep going for more epochs.\n",
+ " - $\\eta = 0.1$: Most of the learning happened in the first ~50 epochs, then essentially no more progress. If the plateau level gives acceptable performance (on both the TRAIN and TEST samples), then you only need to train for 50 epochs in future.\n",
+ " - $\\eta = 0.25$: After some initial rapid progress, the network gets \"stuck\" in a bad state where it can no longer learn with additional training epochs. This is a clear sign that your learning rate is too large.\n",
+ " \n",
+ "Note that we are focusing here on the TRAIN loss curve since learning the training data is a necessary (but not sufficient) condition. However, remember to check that your final chosen learning rate has a similar TEST loss curve, to ensure good generalization.\n",
+ "\n",
+ "---\n",
+ "\n",
+ "There have been some important new developments in optimizing learning rates. A good starting point is these papers:\n",
+ " - [Smith 2018 \"A disciplined approach to neural network hyper-parameters\"](https://arxiv.org/pdf/1803.09820.pdf)\n",
+ " - [Smith 2015 \"Cyclical Learning Rates for Training Neural Networks\"](https://arxiv.org/abs/1506.01186)\n",
+ "\n",
+ "The first idea is that you do not need to repeat a full training loop to study each possible learning rate. Instead, you can often get away with increasing your learning rate on the fly, after each minibatch update to your parameters, using logarithmic steps.\n",
+ "\n",
+ "This technique is not (yet) implemented in PyTorch, but is implemented in the useful [fastai library](https://docs.fast.ai/) and also as `mls.torch.lr_scan`. To run a study, we provide a data loader, a model, a loss function, and the optimizer to use:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Recommended lr=0.0588.\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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P16xZo6lTp2rKlCkWlgrpJLgl4A8H/1RWsy/ijsygCn6t4TP08OBbldM5K+rt0RMxewvoKNsExeTJkzV58mSri4EMEHyX7nK5ZPiuraqO9EXckQHs0Nc++J1b1bNbp7AtBantXlEdHTyn2wqJYJugAFIl+C5dhiG32yXDMCJ+EXdkADv0tX373KDa2sttWgr7j/xb+46ebdOy6ejgOd1WSISkB8WVK1dUVlamVatWqXfv3pKkrVu36pVXXpHH41F5ebnGjx8f8fWrV69OdhGRYULv0qPZwK8j6yLCvTa0DJIidjHF+950WyFRkhoUH374oebMmaPq6urAc+fOndOKFSu0efNmde7cWWVlZbr33ntVUlKSsPft2TO3Q68vKMhLUEkyg9Pqq6AgTy/k5+jIZ3UacPuN6tvnhpS/f2gZJGn/R2fl8fiUne3W4IHFHa7XwQOLtXV/deBnFhXkqerwvy35nTvCaZ8vqyWjvlyGYRjt/7P4PPfccxo9erRmzZqlP/zhD+rdu7e2bNmiQ4cO6YUXXpAkrVy5UoZhaNq0aQl73/Pnr8jni+/XKijIU23t5YSVJd1RX7Exq69EjSeEOyMjdNDeKdug8/mKTbz15Xa7TG+wk9qiWLRoUZvnampqVFBQEHhcWFiow4cPJ7MYgCMkYtuPSHtRBS84ZBv0jsu0SQIpH8z2+a7NNPEzDKPVYwCxa7Wor52tR+T6aht0MXYRj0ycJJDyoCgqKtLf/va3wOPa2loVFhamuhhAWHa5U4x3A0O326Wsr87DiLT1CNugd0wmThJIeVAMHTpUL7/8surr69W1a1ft3LlTCxYsSHUxgDbscqcYbTnCtSIMn6H/+ubN6tm9S8SV5hLboHdER9e2OFHKg6JXr16aPn26JkyYoJaWFo0ZM0YDBw5MdTGANuxypxhNOcxaEUMH3NRuucOtUic0otORtS1OlZKg2L17d6vHpaWlKi0tTcVbA1Gzy51iNOUI3RokUiuiPXZpRTlNpp03wsps4Ct2uVOMZgPDbl07tQqTaFoR4Zi1XmhpwI+gAILY5U4xXDlC7/4TsRYiUuuFlgaCERSAQ4Te/V9taml1Xnc8IrVe7DJeEy9aQ4lFUAAOkawxlEjbr8fzXnb4gqY1lHgEBeAQyR5DibdrK5azPVLB6a0hOyIoAAdJ5hhKPF1bsZ7tkQp2mb2WTggKAJLi+4KN9WyPVLDL7LV0QlAAkBTfF2w8Z3ukgl1mr6ULggJAgNkXbLiBau7eMwNBAaBdZjOJuHtPf26rCwDA/sLNJLKTE2catP1AtU6cabC6KGmJFgWAdsUz0J2qNRWsm0g+ggJAu2Idi0jGdiORsG4i+QgKAFGJZWvy4C/vZB+9yrqJ5CMoAMQkmq6eaI9eTUT3FDOvko+gABCTaLp6ojl6NZFjC8y8Si6CAkBMou3qae/o1WjOwhg8sFg9u3VKzS+GiAgKADGJp6sn3B1/NGdhbN1frV+WMYvJagQFgJgloqsnmrMwPB5mMdkBQQHAMu21NLKzmcVkBwQFAFsJbmkwRmEPBAUA2/G3NAoK8lRbe9nq4mQ89noCAJgiKADYAhv72RddTwAsZ7b4LlWbCyIyggJASoX74o+0+O5YdT07w9oAQQEgZSK1HCItvjvyWR07w9oAQQEgZSK1HCItvhtw+43sDGsDBAWAlDHbJyrc4ru+fW6IuF0IYxepQ1AASJlE7RPFqXapRVAASKlE7BPFqXapxToKAI7j78Jyu8TYRQrQogDgOJxql1oEBQBH4lS71KHrCQBgiqAAAJgiKAAApggKAIApggKAY7AVuTWY9QTAEViNbR1aFAAcIdxqbKQGQQHAEViNbR26ngA4AquxrUNQAHAMVmNbg64nAIApggIAYIqgAACYIigAAKYICgCAKYICAGCKoAAAmCIoAACmCAoAgCmCAgBgiqAAAJgiKAAApggKAIApggIAYIqgAACYIigAAKYICgCAKYICAGAqLY9Cdbtdlr4+01BfsaG+YkN9xSae+mrvNS7DMIx4CwQASH90PQEATBEUAABTBAUAwBRBAQAwRVAAAEwRFAAAUwQFAMAUQQEAMEVQAABMERQAAFMERZS8Xq9+9KMf6ciRI1YXxfaOHz+uZ555RhUVFdq3b5/VxbG9Q4cOadasWZo5c6Zef/11q4vjGB9//LEmTpxodTFsrb6+XjNmzNDcuXO1a9euuH8OQRGlVatWqbCw0OpiOEJjY6Nmz56tGTNmaNu2bVYXx/YuXbqkX//611qyZInefvttq4vjCKdPn1ZVVZWysrKsLoqtrV27VuXl5VqwYIE2bdoU989Jy91jO+q1117T3r17A4/HjRunO+64Qz6fz8JS2Vdofa1Zs0anTp1SRUWFJkyYYGHJ7ClcfRmGocrKSuorgnB1NnXqVE2ZMsXCUtlfXV2dioqKOvxz2D02Cr/4xS+Um5uro0eP6vbbb9eyZcusLpKtHT16VH369FFubq4mTZqkNWvWWF0kW7t06ZJefPFFPfXUUxowYIDVxXGUKVOmaPXq1VYXw7ZWrlypESNGqH///nr66af16quvxvVzaFFEYfny5ZKkl19+WSNGjLC2MA7w5Zdf6rnnnlNubq6GDx9udXFsb+HChTp79qx+//vf66abbtKMGTOsLhLSxNixY7V06VJ16tRJZWVl8f8gI4NcvnzZeOyxx4zTp08HnnvrrbeMRx991Pjud79rrFu3zsLS2Q/1FRvqK3bUWXxSXW8ZExT/+Mc/jJEjRxr9+/cPVO7Zs2eNBx54wLhw4YJx9epVo7S01Dh+/LjFJbUH6is21FfsqLP4WFFvGTPradOmTZo3b16rmUv79+/X4MGDlZ+fr5ycHD3yyCPasWOHhaW0D+orNtRX7Kiz+FhRbxkzRrFo0aI2z9XU1KigoCDwuLCwUIcPH05lsWyL+ooN9RU76iw+VtRbxrQowvH5fHK5/nOouGEYrR6jNeorNtRX7Kiz+CS73jI6KIqKilRbWxt4XFtby6I6E9RXbKiv2FFn8Ul2vWV0UAwdOlQHDhxQfX29mpqatHPnTg0bNszqYtkW9RUb6it21Fl8kl1vGTNGEU6vXr00ffp0TZgwQS0tLRozZowGDhxodbFsi/qKDfUVO+osPsmuN1ZmAwBMZXTXEwCgfQQFAMAUQQEAMEVQAABMERQAAFMEBQDAFEGBtPf5559r0KBBlrz3Sy+9pDfffDPl71tVVaWXXnop5e+L9JTRC+6AZPv5z39uyfseOXJEDQ0Nlrw30g9BgYzW3NysyspKHTp0SF6vV3fffbfmzJmj3Nxc/fWvf9Xq1avV3Nys+vp6Pf7443r22Wd18OBBLVq0SDk5Obp69apmzZqllStX6pZbbtHx48fl8Xj0q1/9St/+9rdVUVGhO+64Qz/5yU80YMAAPf3009q3b59qamo0efJkPfXUU/J6vVq6dKl2796tvLw8DRw4UJ999pnWrl3bqqybN2/WG2+8oaamJuXm5mr16tWaP3++Tp48qYsXL6pbt26qrKzU5cuXtXHjRnm9XuXl5Wn69Ol6/fXXtWHDBvl8PuXn52vu3Lm6/fbbLap1OA1BgYz26quvKisrS5s3b5bL5dLy5ctVWVmpefPmac2aNVq8eLH69Omjc+fO6YEHHtCECRMkScePH9euXbtUXFysgwcP6vDhw5o3b5769eunNWvWaMWKFVq3bl2r92publaPHj20ceNGHT16VOPGjdOTTz6pLVu26KOPPtK2bdvkcrn0s5/9LGJ5T5w4od27dys3N1c7duzQ9ddfrz/96U+SpOeff17r16/X3LlzVVZWpgsXLmj69Ol6//339eabb2r9+vXq2rWr9u7dq2nTpukvf/lL8ioWaYWgQEarqqrS5cuXtX//fklSS0uLevbsKZfLpVWrVqmqqkrbtm3TZ599JsMw1NTUJEm66aabVFxcHPg5N998s/r16ydJuvvuu7Vly5aw7/fQQw9Jkvr376/m5mY1NjbqnXfe0ahRo3TddddJkn74wx+2aU343XXXXcrNzZUkfe9739Mtt9yitWvX6uTJk3r//ffDjsVUVVXp5MmTrc5MvnTpki5evKj8/PyY6guZiaBARvP5fJo9e7aGDx8uSbp69aq+/PJLNTY2avTo0Xr44Yf1ne98R08++aR27dol/9ZoOTk5rX5Oly5dAn92uVyKtIWaPwz8ZwUYhqHs7NaXodsdeY5J8Pv+8Y9/1KZNmzR+/HiVlpYqPz9fn3/+edjfcdSoUZo5c2bgcU1Njbp37x7xfYBgzHpCRrv//vu1fv16NTc3y+fzae7cuVq+fLlOnjypK1eu6Nlnn9WDDz6ogwcPBv5Nog0fPlxvvfWWmpub5fF4IrZGQu3du1ejR4/W2LFj9fWvf127d++W1+uVJGVlZcnj8QR+x+3bt6umpkaStGHDBpWXlyf890D6okWBjNDY2NimW2bjxo2aOnWqlixZotGjR8vr9apfv36qqKhQTk6ORowYoUcffVSdO3fWnXfeqZKSEp08eVKdO3dOaNmeeOIJ/fOf/9Tjjz+unJwc9e7dW127dm33dZMmTdLzzz+vN954Q5J0zz336NNPP5UkDR48WL/85S+1YMECzZ07Vz/96U81adIkuVwu5ebm6re//S0nxyFqbDMOWGzv3r06f/68Ro0aJUlauHChrrvuukBXEWA1ggKw2Llz51RRUaG6ujr5fD717dtX8+fPV15entVFAyQRFACAdjCYDQAwRVAAAEwRFAAAUwQFAMAUQQEAMEVQAABM/T9V/VRrbL5JswAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "loader = torch.utils.data.DataLoader(xy_train, batch_size=200, shuffle=True)\n",
+ "net.load_state_dict(torch.load('net.pth'))\n",
+ "optimizer = torch.optim.SGD(net.parameters(), lr=0.1, momentum=0.9)\n",
+ "mls.torch.lr_scan(loader, net, loss_fn, optimizer, lr_start=1e-4, lr_stop=1.)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The scan results are noisy, but clearly show an optimum learning rate somewhere near 0.1. Note that approach allows us to scan a wide range of learning rates with much less computation than the brute force study above.\n",
+ "\n",
+ "---\n",
+ "\n",
+ "The next technique is adjust the learning rate each epoch according to some predetermined \"schedule\". Cyclic learning rates have been associated with \"superconvergence\", i.e., must faster learning than a fixed learning rate, but your mileage may vary.\n",
+ "\n",
+ "Compare some different schedules that we can easily implement using [torch.optim.lr_scheduler](https://pytorch.org/docs/stable/optim.html#how-to-adjust-learning-rate), including a custom [1-cycle policy](https://medium.com/@nachiket.tanksale/finding-good-learning-rate-and-the-one-cycle-policy-7159fe1db5d6) schedule:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def OneCyclePolicy(epoch, period=50, frac=0.1):\n",
+ " phase = (epoch % period) / period\n",
+ " gamma = frac ** (-2 / period)\n",
+ " #print(phase, gamma)\n",
+ " if phase < 0.5:\n",
+ " return frac * gamma ** (period * phase)\n",
+ " else:\n",
+ " return frac * gamma ** (period * (1 - phase))\n",
+ "\n",
+ "optimizer = torch.optim.SGD(net.parameters(), lr=0.1, momentum=0.9)\n",
+ "schedulers = {\n",
+ " 'MultiStep': torch.optim.lr_scheduler.MultiStepLR(optimizer, milestones=[50, 100, 150], gamma=0.5),\n",
+ " 'Exponential': torch.optim.lr_scheduler.ExponentialLR(optimizer, gamma=0.99),\n",
+ " 'CosineAnnealing': torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=25, eta_min=0.01),\n",
+ " '1CyclePolicy': torch.optim.lr_scheduler.LambdaLR(optimizer, OneCyclePolicy),\n",
+ "}\n",
+ "for name, scheduler in schedulers.items():\n",
+ " rate = []\n",
+ " for epoch in range(200):\n",
+ " rate.append(optimizer.get_lr())\n",
+ " scheduler.step()\n",
+ " plt.plot(rate, '-', label=name)\n",
+ "plt.legend()\n",
+ "plt.xlabel('Epoch number')\n",
+ "plt.ylabel('Learning rate');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Data Augmentation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To motivate the need for our next technique, imagine that we have a very small training set (compared with the number of parameters we wish to learn) of only 25 samples:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x_sparse = x_train[:25]\n",
+ "y_sparse = y_train[:25]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Not surprisingly, the network learns to memorize the 25 samples with its 591 parameters, as we can demonstrate by comparing the TRAIN and TEST loss curves. Note that we train for 1000 epochs here since there are only 25 samples per epoch:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "optimizer = torch.optim.SGD(net.parameters(), lr=0.03, momentum=0.9)\n",
+ "net.load_state_dict(torch.load('net.pth'))\n",
+ "losses_train, losses_test = [], []\n",
+ "for epoch in range(1000):\n",
+ " net.train()\n",
+ " y_pred = net(x_sparse)\n",
+ " loss = loss_fn(y_pred, y_sparse)\n",
+ " optimizer.zero_grad()\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses_train.append(loss.data)\n",
+ " net.eval()\n",
+ " y_pred = net(x_test)\n",
+ " losses_test.append(loss_fn(y_pred, y_test).data)\n",
+ "plt.plot(losses_train, '.', label='TRAIN')\n",
+ "plt.plot(losses_test, '.', label='TEST')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In cases like this your best option is to include more data, but this is not always possible. Your next-best option is to reduce the complexity (number of parameters) of your model, with fewer layers and/or hidden nodes.\n",
+ "\n",
+ "However, there is a third option that can help prevent memorization, called \"data augmentation\". The idea is to replace each of your input samples with a group of similar (but not identical) augmented samples. There are two general strategies for augmentation:\n",
+ " - Exploit (approximate) symmetries in your data. For example, if we know the function we are trying to learn is even, $f(-x) = -f(x)$, we can augment each input sample $(x_i, y_i)$ with its mirror partner $(-x_i, -y_i)$. Perhaps it would be better to use a model with the appropriate symmetries built in but this is often not straightforward (especially with neural networks), so we instead symmetrize the input data to (approximately) symmetrize the model's predictions.\n",
+ " - Perturb or distort each input sample to produce some equally plausible input samples. Selecting suitable perturbations requires some assumptions about the (unknown) distribution that the input data is drawn from, but small perturbations are generally safe.\n",
+ "\n",
+ "In our example of learning $x\\rightarrow y = \\sin(x)$, we augment each sample using even symmetry:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Add (-x, -y) for each (x, y).\n",
+ "x_augmented = torch.cat((x_sparse, -x_sparse))\n",
+ "y_augmented = torch.cat((y_sparse, -y_sparse))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this plot, the original samples are drawn as circles, and the augmented samples are red dots:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(x_augmented.numpy(), y_augmented.numpy(), 'r.', ms=2);\n",
+ "plt.scatter(x_sparse.numpy(), y_sparse.numpy(), s=150, facecolors='none', edgecolors='k', alpha=0.5);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Train with this augmented data and compare the TRAIN and TEST performance:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "xy_augmented = torch.utils.data.TensorDataset(x_augmented, y_augmented)\n",
+ "loader = torch.utils.data.DataLoader(xy_augmented, batch_size=25, shuffle=True)\n",
+ "torch.manual_seed(123)\n",
+ "optimizer = torch.optim.SGD(net.parameters(), lr=0.03, momentum=0.9)\n",
+ "net.load_state_dict(torch.load('net.pth'))\n",
+ "losses_train, losses_test = [], []\n",
+ "for epoch in range(500):\n",
+ " net.train()\n",
+ " for x_batch, y_batch in loader:\n",
+ " y_pred = net(x_batch)\n",
+ " loss = loss_fn(y_pred, y_batch)\n",
+ " optimizer.zero_grad()\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses_train.append(loss.data)\n",
+ " net.eval()\n",
+ " y_pred = net(x_test)\n",
+ " losses_test.append(loss_fn(y_pred, y_test).data) \n",
+ "plt.plot(losses_train, '.', label='TRAIN')\n",
+ "plt.plot(losses_test, '.', label='TEST')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Augmentations can also be applied by mixing pairs of input samples or applying augmentations to inner layers rather than input features. See [this paper](https://arxiv.org/abs/2002.11102) for some recent developments.\n",
+ "\n",
+ "**EXERCISE:** Identify some potentially useful data augmentations for (grayscale) image data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Dropout"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Another approach for improving generalization with a small training dataset is called \"dropout\", which is implemented (in PyTorch) as a [DropOut module](https://pytorch.org/docs/stable/nn.html#dropout) that randomly zeros a preset fraction of its inputs, effectively turning them off for a single minibatch, and forcing the network to try and compensate with the remaining input values.\n",
+ "\n",
+ "Using dropout in training is similar to training an ensemble of networks with slightly different architectures and building a consensus output, similar to the design of a random forest of decision trees. Dropout can also be used to estimate the Bayesian uncertainty of a network prediction (see [this 2015 paper](https://arxiv.org/abs/1506.02142) for details).\n",
+ "\n",
+ "To introduce dropout, we rebuild our network with two Dropout modules that each zero just 1% of their inputs. Dropout is [usually](https://sebastianraschka.com/faq/docs/dropout-activation.html) applied right after an activation module:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "dropout_net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(1, 20),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Dropout(p=0.01),\n",
+ " torch.nn.Linear(20, 25),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Dropout(p=0.01),\n",
+ " torch.nn.Linear(25, 1),\n",
+ ")\n",
+ "torch.save(dropout_net.state_dict(), 'dropout_net.pth')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Repeat our earlier learning loop on the sparse data using the new model with dropout:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "optimizer = torch.optim.SGD(dropout_net.parameters(), lr=0.03, momentum=0.9)\n",
+ "dropout_net.load_state_dict(torch.load('dropout_net.pth'))\n",
+ "losses_train, losses_test = [], []\n",
+ "for epoch in range(1000):\n",
+ " dropout_net.train()\n",
+ " y_pred = dropout_net(x_sparse)\n",
+ " loss = loss_fn(y_pred, y_sparse)\n",
+ " optimizer.zero_grad()\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses_train.append(loss.data)\n",
+ " dropout_net.eval()\n",
+ " y_pred = dropout_net(x_test)\n",
+ " losses_test.append(loss_fn(y_pred, y_test).data)\n",
+ "plt.plot(losses_train, '.', label='TRAIN')\n",
+ "plt.plot(losses_test, '.', label='TEST')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note how dropout has a comparable effect on the loss curves to our data augmentation above. Since these methods achieve their results with different approaches, they can be combined.\n",
+ "\n",
+ "Also note that the TEST curve is much smoother: this is because we disable the dropout when testing using the model's [eval method](https://pytorch.org/docs/stable/nn.html#torch.nn.Module.eval). (There is a corresponding [train method](https://pytorch.org/docs/stable/nn.html#torch.nn.Module.train) to allow you to switch between TRAIN/TEST modes.)\n",
+ "\n",
+ "The fixed dropout rates used by each module are yet more hyperparameters that needed to be chosen carefully. To see the impact of a poor choice in this problem, try 50% (which is often recommended as a good default):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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7KAyk0d034vitT1XMVYWikJqcEL2vokwS/GZyGgWKc9NZvyx/SplQEhISEuca0lG4UNvUy55jfsqL1tPSPsjT295H1w1Un9kWVUABli7K5kBjD7pu8OzrRwGiQkNrl+TRPzTGgcYejrcPcLKrnsJA2oSNvRQYlJCQmG5IR2FDQ2s/339uL8GQyVIydAPhGzTNmW1QVYWM1ER0w2Q8BUM6T75aB4aZ0N68cTHPvn6UYEh3bBfSDH6/5wQL82dPKNcgJUIkJCSmG9JR2FDX3EeB0cmiWR00hvI4bgQo8XdT6u+gIZTHST0HXTdQVIW7N5VRGEgzJcbDRXZG2JeENJ336rqinITA/oZT7Gs4NeGcgxQYlJCQmE5IR2HDkvTTrErfhg8NDR+/Hb6C21Lesf7+ydAmii5d5qiFeGDzcl7ceYxDx/us/SjAivIcjpw4HWFG2RBZpciWqhISEhc+ZB2FDXnBFhIUHZ8CPnSWJpzAh2b9vcjXQXZGksNglxZksKI8B1Vx7qswkMY9m8qiPhdQGJ8BJRhPv3nz2Lj1FxISEhLnCnJFYYM/v4KgPwEtFERDZX+wmNKEThRDR0fhuD6PPw8bdjHTF9Lj9oWDbkB1TTv33lABwJOv1llhKQsKbN64OO4qIRbjyX5sWVchISFX3uca0lHY4MstZd7d3+Don7aw72i34ztVUbj7ujKKw4Za1DYoipMNJdDY2s83f/4OA0Nj0U4CwIius3A/7F6MJ3Fskf9QMJPnF0p9hXxhJc43pqPWaKY959JReCCl5W1WJQZZlaigYqAooKOTF2wBqhwzfcMwv3eXYJ/sHop7DAMYHg051Ge9HnY340n0xLDvJxTSeXHnMUs65Fwi3gtyoRQHzrSXeKbjfNcaXSjP+fmEdBQujJw4BHoIn2I6ATDZTIai0pFQSDGmNIfdMXiuGCaArW83W3TatUvyoh52IMrgiVWGYFqBOZTDx/uoP7n3nD60470gF0Jx4Ex8iWc6znet0YXwnJ9vSEfhQnLxx0D1o2tBFEzJcN2A3WcW8cLW02wOtfL0a/VRGk7xoCqwrHQuBxpPYVsMOOi0gONhT01O8DR49lVGanIC79V1cfh431n3wJgMxntBLoTiwJn4Es90nO9aowvhOT/fmJSjGBsb49SpU+Tn55+r8Uw7kgrLSb3lIU5Ub2NO17uohoGGyjtnFqGF6yPcxXfxkJ6SwG0bFnJVVQENrf1U17RTd/I07T3D1m9URWFNWIJcPOzxDJ69rqIwkEb9yb3n5aEd7wW5EIoDZ+JLLHF+a43iNTC7WCclvm984xvfiPeD1157jWeeeYYVK1Zw00038fOf/5xZs2ZRVVV1noY4eYyMxEggTwCpqbMYUdKoPh3gdw1J9OhpvDq6jKZQAL9fZdPKIg4e743av6LA8sVz2bRyPoeb+qwEdzCoc7ipj0uKzYcoNTmBbe+ctLZXFbjn+nIuKwuQNTuJsvlz6B04Q33zaVq6BwGTRnvrugVkzU6KGm/W7CQuKc4kMCeZW9ctGLcmY/ehDlRVcewrNXUWw8Nj416biRxLnIPXWMcbx2R/c7ZjhImf88WCqTjfs70n8bb/sPuMh3N5j+3v6vee3cuhpl72HOrkkuLMKT+PyeBsz1lRFFJSEmN+P+6K4vHHH+eRRx5h27ZtVFVV8c///M/ce++93HfffZMezEcJ5UWZ/G5XLifOBFBUhauqIk2HCgNpVNe0A1CUlx5FUS0MpPHizmOeIaG65j6rCE8BNizL56qqAuu49hi7qipsWJYft9kRjD+bEiuZnTXtaLrxoWL3H3bmNpEcwni/GS9ZLSvZpx7noh88eBM4PkqYKaHOcR2FYRiUl5fzs5/9jA0bNpCWlmYleS9mxAujCEMUy2CVFmTwyXULPUNC9mS0oioU5aU7jutgVOlGVIHfZOGm08L0PtATebHi/eZCSlZPJ7vqfB97ogYx1ri8tgc+8kZ2poQ6x3UUqqryyiuvsHPnTh566CHeeOMNFCVGufFFgNGWOs4cfh9/fgWlBaUs8HcTatuB5q/Al1tq/c5tsP7hhjnkBVvw55u/i+VoSgsy2LxxMU9vq7dUZ+1qslPx4IkVBED/0FiU5tR0PtATOT/3b1KTE6wY8HgG63wZ0HPtsC40GrJ9ghNLVj/euGLd94+6kb0Q8nLnA+M6ioceeojHHnuMr3zlKwQCAX7yk5/w8MMPn4+xnXdonQ20b3kUQwsypiaQsGQjwQOvgqEz5jP/1k814194OXWnSyyDVUgnc3Y/yZihMaaozFp3L4mXXBUVAtE6G+je+yeS2j+gSC3kuB4gFNJ59vV6inPTrRDTh0mUNbT2891n3vdMuPtUWL90/FDWucR4L5a7m5+ofBfGZ/PGxTGNy/k0oOOtej6M4bgQacjjTXDGG1es+/5RNrL2++xuWnaxYVxHcfnll/PEE08AJuvpX/7lXy5a1lOorRZDC5m8VS1IcP/vsQomtDGC+18x/9l6kKrKP+d3vhQ0TWdlUiOKoZm/M3TO7PwFvqxCxwpE62xg6HffJkXXuBQoSz/EYwPX0xQKcLx9gOPtA+ysaefBuy5zhLbsBsOrFer2fa28V9fFivIcrqoqoK65z9NJKJhOQsiKTCdi5RC8DKTb+AyNBGMal1jhjXNhiGLNkKfCWV2oNOShkaAlq3824/K67x/VfNKFFAI9HxjXUbz22mvs2bOHL3/5y9x6660MDAxw//33X5TJbH9+BUGf33QWKCCMvwfmtL/LA5v/G3XNfSzrb0Rpro98aeh01u5j7zG/ZaBCbbVgaIionc/QqUo/RVNfpB93SDMcek4v7jxmFdaFQro5mzMMVFVhfeU8Rsc09hzuBLDUa8uLMvH5FIezUBRzib+mct6UXatzAS8D6WV8YhkXr5DVuXqZY82Qp2K2P16YZ7rCHR8FevT5wkxJYguMS4996KGH+Lu/+zv27NnD2NgYP//5z/nOd77DHXfccZ6GOHmcLT1WTcsi+9IVnEmYg3/hFWith8HQQfGhZM2HEVO91QC6fbkYxVew6tI8ktMzCNbtRKw+DNXP/39iIdXHzliUueyMFIL1u6wqOw2V4KU3s7c1ZI3V71P45LqFFuWuo9dsvaoooIQbKYm+F00dA7S4ZEJCms7Nq0u4tCSLwZEgybN8rP5YHksXZTuoom5K4nRQRb1okaqqsOdQJxhmz49ARjLzc9NZWzkPVVEoykljfm66J/1QhAEuKw+wqCCDW9ctoL1niENNYSqzYRCYk0zZ/DnA2dMI7eMuLciIogLbzyEerTkesmYnkZ6SwMFjvRi6YdGr7fuZCA3Zjqm4x1NFjz5fOJfP9VTc53OBaaPHzjTWU1JhObNmmaE1X1ah1TsbYPilb2PoGpqh8lTrApqffp//uribosH9pGOGdwzgXSoJaQafSd6DArQd8cElS2lb8DlKeqvxjX4Ai9eSWXQp7HkfwnpS110+n7rmPnr6Rx16TiV5Zq/tp7bVYXj3QgLMHhgCB4/3EtJ0WrqHHDNpryVzIJBufSeS4Ocyj+GmAK+vnOfIzwgq7xv729h1sIPNGxebDaI0nV0HOzzpsrFWDpMJ0XjlFuyfwcTonGuX5AEf7hqOF+aZLnxUQ0VTjZm0eoJJsJ527Ngx41hPvtxSR54h5Zb/QcObWznW/gEAVybU8bGuPZGNw57iMm0vy9MVfGKFcayBH9fcgKYZfCy9ngRFRzn8Ao1D6ZHGRgZse+ekFVqy6wye7BqkMJBGbmaKo6LbOqwCN6wssuox4i2Lvb5bXVUYlQQX+RKxzURehokmcZ1jMNi+r83hAOqa+9B0A8MwQ2479rdZzK1QKNpoxjvf8Yy2Wy7ei+cvWuMuW5Q9LuPK7kg+TKhvptAuP8qYSU5zwqynr371qzOO9ZRy84OWozhxcB+jR3aSd3ovubM0Vs5qpC1kvryKEhYODP9bMUAJrxJM6Cz3N9CnpOJDM52AFiKxpwFVKUYLb6uFnYbuSkZrupm7yMtyOor5gVRWXpobZZjjGZlY37mT4CHNoLqm3ZrJjxfjjzWrdzuPhtZ+evpH8almHkUc0W54y4syUW3fn+gYsI5jQFTMPp4cezyj7SUXb5/BA5aD0nWD/Q2n8KkKum54Gm+7wzobRV/3tZrOGetU0Iyliu/5gf06i+jAVGPCrKfW1lZOnDjBc889d04GciHAwXrSQ4TaavHllnLi4D7Sdv2IOWEjryqAodOvJwNO9VjdMPMPKqbBEM6izNfOn0Ifw3QhEDQUtp1McYgEgrkoUcLGSEBVFMqLMikvyuRAYw+abuBTFT57Q0XMymQRwon1nZhF1zX3kTknJSoJ7veZA59ozUIsxpGbtSVm7aqqULV4LjXHeqIMb2lBBusr57F9X1vU9VWU6D4eXpRiOxFgIoV9hFdyhuEci2q7FwawrnIe2RlJnsZPOKxg+LiHjvdR2/w+D4WZbPEQy9FOh4GdCkbPxcQKupAdnvs6f2tOCtmp0TUuHxbjOoqmpia++MUv0tXVha7rZGZm8vjjj7No0aIpH8x0w8F6Uv1WbqK/sYYMNFTbykFVVQJ5uQwEfaQPNiEWD1pqgIOzVpAz2kj+yFHANP4B/wC3+99CwUAzFH4zfAVNoYDnOFZW5PBObReabhqvuzeVWbPx9UvNmbFXKMUdTxergR017SxdmE1GaqJjO/GAvVTdxNfuXM5Dd13myFGIfXgVvgFWqMrnM5s6uWf1bufxXl2Xo+p8Yf5sblxV7PkSrqmcZx2b8CrNwMw5eIVh3JRie5GhqirWKsM+83KvRLzox/dsKrPYZmJlEq/Ab/PGxfxia531vRZemY1nYGKFz6bDSE0Fo+diYQXFkh65UByH+zrXNJ7iqqVTz24c11F885vf5Atf+AK33XYbAM8//zz/9E//xC9+8YspH8x0Q3S4O2XLUQBkLKpE69gO4ZaoWu7HSOo+Qv7p9wAVFBWRZfYPn6Jq9A80Z62EsKOA8EqBiMZTqnLGcwwG8NaRTgzDNHD3bCqzlGfjhVLc3zv7WxjsPXoKgB0H2njo7hVRYZK65j5uWl0S9eCLmfrwaMgqtvL7VZYsyLJWH5pm0Nwx4BkqsRviFeU51J/snxDV1Z3YDoWd5kTbx7qvaUv3oCMH8a05KRMK71xVVUBhIM3zN15GxL3amSgmEj6bzKz8wziYiVRhn835fBThNsSTCcdOBB92IuC+zpWL5p71WOJhXEfR09NjOQmAT3/601YB3sUIO+sJzLxFXrCF+pKb6eroZvbCSiqpJ9gZEr9w7cFA14IUdlejY4apFMe3ZmiqMZSHqiqsrMjhrcOdjv4WItRiGIZleOwPbCGdDL/7OzT/asuZuR9oIKrBEYCmw6//1ED+3FRURUEzDFDg/fpuUpMTHAKFgPXwfufp960QTEjTae4ccPyuf2gsyuh7GWK7oOJ4sCe2xYUZzxDbjZw4b10z2LG/zXPm5R6z14sby5nFqvuwh/B8qmI59XhGwetaiW6Gk52Vx2O2TQQTqcKeiDDjhcwKmqiBdhtimDp9qngTgYmOz32dK0qy6O4eiPn7s8W4jkLTNE6fPs2cOSb/vLe3d8oHcaFC62xg+GUzuZ1vqLwwsAlf70nKU7cTi/dlACpgYKAqoON0FL7AQvoW38plA3PYHH4IrllRyO/3nGDf0VMOoy5yExB5YAvp5G/Tt5HQqTH8u+3MWvdZEi+5KuqBFmKDbaeGqG/pd4yxvqXf8ZmuE64ON0MmbmdR19znyJkoQO+Ac0WUkRqbg+2Gm+oqjhEv7j/Rmal9JbLjQBuabt6T5s4BK4GOopDuwRmPR9v1QqxiQHsIrygvnbrmvqgVTaxk/0RJCfEQi9k2GcSj5050pWMPB05EhmY84zhR4yl+t2ppgWe8fjIrNa/8lz0c+2FWSvHCjZNZSZ6PXNa4juKee+7hjjvu4MYbb0RRFF555ZWLsirbDq2zgVBbLVr3MdDGUAAfOov8HSxPbCKqQbYNCqZzMFDQDDOXAYZVuJe05i6Kc0sptm1TWpDBwvzZVngIzKStyE0IrF2SR1n/cRL6zaQ6hsaZnU/iyyoEAixZkMXpwTNUFGXy7OtHo8QAJ4L36rqiHEV5USYJ/ldOuFUAACAASURBVIji7bJF2Y6xqgrjsoqE4QUcIa9nX6/nZNdgTPnzs5mZ2l8ce0J86aJsDjSayfOfvVhDxp3OY1XXtFvXzIu262XUY+ly3XtDhSNfIphx5r69k/1Tce4wOQcTy/jG28dk8g8TNXoTkZaf7H5E7i0eiWEiqwK3IZ6IVtlE7lc8BuKFkq8SGNdR3HHHHRQVFbFz5050XefrX/86a9asOR9jmxaMttQx/PKjoEWqGw1ARyFZGaPA1zfuPhRV5WT2arKyM5mbM5czu54KOwoFrbfFKuITYSNBGfWHQxaKqnD9FfMZGgmyfV8rNY097G84ZRrX5DEuTbYdLCwX8t23s61wx4mOAc/KdLuxigV70R5EtKQ2rigkJcmUJNlb3+34zfUriyYQmjENr8+nOKixx9sjy2QvgUSY+IzJncwHk70lWFUZqYnWLNlejyEKDXccaIvaZzwGl0h837S6JKZOlXA84rorCp7J/lBI90x6xzv3eDL34zmYWD1KILK6i7WPyTiiWGy4yUqf2K+lVy2N1/GCwWiKsp2eHYvmPB5i3ZOzWQl4XeOpzldNBSbUCnX16tWsXr3a+vsHP/gBX/3qV8/ZoKYTIycOge6MgysojBWv5rLeDhh0hpJIzrCkPcwfKyiGQXHfO6SsfdDSeAJAN1cAoFt1GsdDAces++NV+RTlpcdcESQz6vxAUWkI5qJpkTHrBtaLIGo77MYtNTnB8X9UldqmHlaU51AYSLNmxS3dgxaD59DxPu69oZyW7kG2vt3svGZnQo7QgjBC/UNjkTxIGIZusH5ZPt39I1ZjJ+s78BRIdMOrNsNu9FRVAYMwjRir+RNEwgZ+v/MFdF9rVWhyxTDqdiaUl3ihGJ/qojpfWpLpMFz2epGdNe0TruYez3CM52C8epR4JWrFuYt9iv9PdKVjN3qKqnCs7QNe3Hk8agU5nvOxJ9S9amncxwvZKMp1ze9bxaP2d21Z6dxJhUzHw2RXKpNx9O58VXVN+3ldXUyqZ7bA008/fdE6iuTij9GnJoAWJFxCB74EAsuvRutt4cyORucGZ4ZA9YdZT0r4/5E6DH9+BWNqAujh5LflNMzv60b91gMgCu2GRoJRzB2BxlAeiP0pKrPWfZb82Uvx7Y1UVasKbLpiPilJfssZ2I2q+wELBNLp7h6IMj6FgVTHsXfsb+NE56BjVaIqOGalmzcu5unX6r0VbMOzaWG0a5u95dDBKZAo4DULFrUZTqMX2ae4jGI/4gUU8WvxAtqR4Df322wr9LMbMpSIE3YksVWFkGZYdNzSgowoeq3dSZQWOOtFJkqlhbOjn4p775aIAdNhmdc9NsPHTR+eaBjQzl6zhyztq6jxnM/QSNBSK7DX0sQKBz77er21WhXFo9kZSY4V7r6GU2DgKQvjvmYfJpTkhck6erfDnYpulZPBWTmKi13rKeVmcyWgJKVhjA5a9RTaqRMOKiwAho6/4uOoadkoSWmcqX7GNOLhOgxfbikpNz/IWP0uQrVvRrZTVDoSCunpHEVVsKqzd9a0c1e4JsHNWALIWbyEpMW5BI+8iZI2B19WIaW5Gdx9XRmvvXOSjt5hdANefeekRa0VsMt0KAp89vpyx/fOGL3OnLRZQMRYJvhUZ1JbgWWlc9knwmIhna1vnYgpc+6eTduNpBt+nxJVt+GeBQt5j1hOVaB/KBJGFC+gcI7uF1AksAEr+SwMib1Q8dnXj0YZBHHW9rMvDKSxdFE2pwfPsH5ZftQLvaZyHjtq2uOuKryM1WQT3bVNvY7ZtLsy3sBMvPsPejN8vFZRk4nPd/ePRD0X7vO1h6HEvRIoL8rE759YOKa0IIPi3HRHWNN+zcR7JcxYKIajnapQkhfOJk8i9t3TP8ob+9vOa43KWTmKi1nrCbByBw5BQFfeIgIF39xiEi+5ytzWJiQo9uPLLUWp32WTLVcYKrySb209HWXkdN1w9FxITU5gz8EOi6XUUX+Qkc5tqIYGp2C4+QC9q+7n2ddPO4yorhs8va3eojU2tPbz7OuRmb5hwFOv1tHdN0JH3wh5mcnssNFWVVXhxlXFzErwWVLmje0fOPIo92wqozCQZgoQhl++rj5XaIxI6MsdKwas/Rm231aVzqVyUbaDJSTqQuwQbCbhaMFc4ZQWZDhYXbHCC2KFsmRBVlQx4pbdTRGJdy26zsRdW/Gj5w9Erm1YcgXgu0+/Z61qTnbVR9FMvVYV9rh6PGM4mUR3TeMpR7GjO/xnhJ+7zRsXW/1NCgNp5ooiZBY9CpqyV+gjnoSL3cEr4f9EEvuR84XYyf2JhGPsBnNN5TyL9aaqOEQnX9x5zJLlN58ZxdPRns2qbaIrrViOfjwKtbimU8W8mihiOopt27Z5fm4YBro+eTbNRwmCFose7nRXtjYqb4HiQ7CZzlQ/E9WoyL2/YN2OyAeqj3p/BSEtSLiMAV9YPkJRFXr6TWMruma9V9dlbVrq73D0yTD0EP2NNQRDTqYSgG5EDJZXHF434PdvNUdtp2BKVQC8XRs5tq4bfHxZfpSEhXj5hNFRgJJ56RTnplOUl27lQ6pr2qmuaXfkYBQFqhabjsEe1nAbAYgU79lng7puHss+e8yfm8qx9g8IaQZ+n+LJyKpt6nWIILp/l5qcEJltG+bfsaisv/pTg4uxZhqe6pp2h0SLVzgNIlXo9rj6kRPvc8+mMisMGatr3ERnkpWL5joMkzhXe193uzBibfNp1lfOY+OKQra9czJSy4LpzN2hj1hG1Z6ENjc2BSxff6/FIXVSf3Kvo0jUSysrXjjGy2Cqqoqm66i2iW1pQaSfvWDxudmF8fZ/thTe8Rhz8ZytF6ZCoXgyiOkonnzyyZgbVVZWnpPBXCgItdWajiGs+WSAIy+QUL4egOCRP5kbaEFzG3A4GCEqaE9o68BI4ZXkX7IU/77ISypi4nZ5bfGgrCjPsWZADaE8DHwY4f2FUDmTVYqqjjrCQhCRu/CqVoaILLr1d7g4UBgSd/2EqiieD6b95YucT+TlcyvTqorppMC8xAcae7hxVbGnERDVwUV56daYhkdDloMzgIqiTFq6hxxGcE3lvLiFfTWNp6JEEO1G2F7YpwDNHQMx6yDcyf2iXHPV4D6+quA5+/Oa6eq6wVOv1nHP9eWO0FhP/ygNrf2TNg4VJVnjtiL1Yqmp4T4odujhVQlE8gxrKud5Gu2opLMBKUl+Nm9czJNb66znL2SbDAiHeTjsQNy5EbvRjUVPtodRdd2IcrATWY25fwfx6czjraq8VoX27SeygplKheLJ4KwcxcUORwJa9ZNYtpbEsrWOkNLYke22LQyUpDSng9GCnHn3BWZd/in8+RWcUfzoeggNlX8/PJsi2qNegC27myx5bU3TaTtygPld/SxIKGT54rnhOHc5B07lM3RkBxjw7tgiLvPP455NCTz1ah26YS61N7h6Y9uNjdB9snfIA3OmJyiwYjtRP4Fi1iHEQryXr67ZqUyrG06qrlj52B1LXXOfNZsV1cGbNy4GTJaVPbGZkuT3nJ159bAQ+84LpEeJINqNuKgdiVeRC6b4oDtlNydtFg2t/Y78g6LAPdeXxzVKn1y3kMNN79muC5Y0irtHx9kkML1WIO7P3LkxI8wiE8l7cFKs7XkGr/vvrqQXif7qmnbnJAUsB29fnbpzI3ZhSWF03fRkVVUcgxTHHO9axLpmgIMEEI/CG2tVNZEQ1kRWMGcTDpsKnFWO4mKHSEDbcxTuvIN26oRjG+3UCRLL1poOJsyY0loPMdxRT8rND1Kfdz36iffYP1bMsbEAx/a1keB3zkrsD8rCxFNUNb3GmWMh0gyV0wObaCGXBf5uEhI6eSJUyrGxuSiqQnH/KKnJCeYLrRlmN7hwRTB4G3HxYkGkn8XtV0fqOsTMzG6k9jWc4uDx3nErcd0waaJmmEjgyktyeae2y+q/caztA36xtdYKS7mlv4MhnaderQsLMir4bPURXiycWPx9YUwS/Cp3X1dmMZvc18trNiniwnaaZ8iVoFVVxXGdHrrrssnRGF1O50TnAGvCirX2SUQsA/Fhi7LWLsmjsbXf6p7oDzPARC2Pa3EBRGbsXlph7mLNuzeVWedlx7LSuda29tWpm2FmF5aMZYx1W84LID0lgT++18KLO49ZveUnAi/atbv+wn69U5MTUBUFHWd9xkSJB+5nrqV70KGvJujK06GhJR1FDIimRe58hQgnudP5ChEHc+bdF9BaDyFosmP1uyhrfxP8Gov9nbRrmTSFAp4xZ/GgLB/rhboQCgZ+NBb5OyAEGbufwofG/WkqdYkfY2t3AW/sM6xWqWCGDbwYKl6GVIw9Jcl8FLyWyRM1UmJ7+4MuEqMbluZbCVtFgYJAKtesuMwqdBMxfrtCL4bhWnmY/xfJWHeuxH5s9wuVmpwQ1YN8aCToqKCOFxpoaO1n7ZI8+ofGqDnW48xJAJcuyCSQkexgowhKZqwxuq9hXXOf20/Q1D7A9541wy/jJT+9DMtEnUWsepKNKwopDKTx7OtHPZ2EvYAwFuzxdIjOl/l8JnFCwP4euBlmRTnp1J44jY7hCMW52Wuijgagb2Asqrf8eM7C63q4n7uW7kHHKl5VFMuh2MUrvSYdsSRNxDO3fV8rT75aF8XMuml1ybRoaElHEQNCxsMY7HHkK0SPioSytWaCOhyeSihbC5jOYtbln2K4o976Tu9rRTE0syQDnWuTDvJ/h672jDmLB6V192EIVxErQLIyRllip8l2CksLlo0eYGH6IX48sImmUMBKiHvx/L1meuLFEsVnEFvoLpaaaCxDZWe2HDrex41XFjlCOfaltD19IooFRV+IJQuyHEYZIjkUu/G1azv5fAoP3XVZlLGxmDeKOfMX1368qt9YUhwCfr9qsXbsqw6vqud4MW777Bubw9Q03cGE80p+ilyC7jIsXjHuWOFBrzzWnsMd1Db3mWNyoawwg/y5zlobd3W8O57unqBcuiAzig0nthdkDsEws5yGHm4KZuBolyscUlFeOk9tqyMWvGRq3PC6HvbnrqG132HIdR2sgJ2HeKWdsTSeEGBqcgJPbat31StFwmeTITFMFWI6ira2NvLz8z2/e/PNN9mwYcM5G9R0Q+tsYPil74ST174ww0l39Kjw5ZaScst/jw5JhR3MrDV3WTUYo7uesfatAJdkBvlC4AR/aE3hjf2GZ8y5p6uHVMAXNhhXJx9hqPIzKIcPYmim41IV8Bk6pf4OTuo53B1mycTi+dthn+WsWlpA3+lhtuxuIjU5IapwDGDJgixTRsSmJgrENFTuqXFtc58nU6O8KLph0l3XlVm5GzD7f7vrHOwvV3SVsVlgdW+4sZO9qE7B7EHe0j1kGZmNKyKCeQYwPOqsNLc7ErsUh5dwYDyuO8RXHvWaSduds3uFY18hucMthM/jF1tNksVN6xfRd3o4puihmAy4VxR9A2P0DXjRws1EtT0P5M4fOKXunZMO8Wy6nUS8lZ2jONLAqvh35zH6h8aIR8x0y9TYYTfW7voae3iyrrkvasJgJ4PEWmHFConaQ1xKeKJn328sZtb5QkxH8cUvfpHf/va3AHzpS1/iRz/6kfXdD3/4w4vaUQTrdzkqqX1Fl6GkZESFm9w9te1hKmxhqoRLNnBmxzHrdwkj3Vyqd7I4VeXHA5vI9/WR8MYOxpavt+oxMhZVYnT80aTMKqBiMDdJx3/zgzS8uZVA7/uohmFJlt/tKq6L1UMBomdtPUNBz0Sgphvsre+2qIwCgroYyEi2dZHziEvY0NQxQFP7AH6/k6lRWpDh2TBJvEAQmwpoN5Zu2Ivs7LFjv08lwWYQNU2nuWvAwQDb+nYzGDjiwuNJcdjPR8wcd9a0Rznc8eLL7tmil9S3m0UmnJYCVs7EcFGfdx3siOpR4hY9FNLimleMCVgwL53mzgHTCCvQ1PGB4zq68weAZ7V6PNJDPEfqDi8pEF69OlfQHb3OvvKZ6YmUz89kYGQsKkfhtQISPdKvD6sbeK2ONq4odLD3MC8JxXnpnoWVXufg86kMj4b47tPvO6+5YVi5EFGv5DVmt+rCuURMR2Gvvj558mTM7y5GeJ1dqH4X6EGC9bscvbQdv3HRakWYShj/0LF3ISER7cReFAx8aNyZsos83wcwiCUPknjJVRQvqaKj42pSjv3JDD/5EqyVS/vi2/jP1wOU+jtoCOWRV7aEoZGgZwjLje37WqPi2C09w56JQMOIGE339Tl8vA9FjY6pQ9hwheO14u94VbDumbLdaSlghW/sDiZWTF2g5liPVdQnwhWqqrCiLOBgeimKYjVUilWxe9PqkrhSHLHCOe7Fld1IDo+GPJOr9n3FkvquDjOpBEry0tm80UwS/99Xjjj6qgsEQzr9Q2NRrCb7fsXxINxoy2YI/T7FOsbv95xg79FT1kpDzKLdjamK8tIxwhMA+3MSj/QQy5GK62KXVrHX6IgVtKIqdNochU9V+JtPVcZM/LubfdkptdveOclDd1/mWM2IGo9t75yMytnohqlV1tId3b/Dfu6CINI/NMarbzdH7UcQCLycgFcBo/33saTVPyxiOgp79bW7Evtir8xOLFtLqG4H6BqoPvNuiKpsmwNww6LVakFzadx9DK2zwXIWiZdcZa46Th4ELYiqGOT5PwAiQoOhY+9av0s9sROhN5WwZKN1zKGRICfCbVRL/R001sNbRwKeejx2NLT285TIIRAxhKuWFjhmavYQkmFEEsw+FYpy02lqHzBffA8bLaRBwIwFJ/p9LknyaGmOWPQ/u9NyzzDdMeQF89KZkzbLOpZg4gDWikPXDepORlYqYNY8iC528Sp2xW/ctRFejlech9VrWzcclcypyQk8/4a5wjx0vI+acB0JRCvUuhPyW3Y3OVZLAMW5Zu+R6pp2OjychEDNsR7uCjO9dta0W+yd4dEQP/jPvRTlpDuOt3FFIbXNfcxJm+WocxkLOZt1zUlPtIyxfSXrvgbi/omcEjhXibFWGzEnDwcj11vcm7qTpx2OcumibFq6Bz2dsnsFA84e6XbatrWq1Mz8m7tmyY6J0FZ3HezwFKIUApaxtnU/924KcSxp9Q+LCa0oZhrs+QclKS2s+BqGolp5Cq/tZq25izM7fgHoaE3vM9x8gJRb/rtDziPl5gcZrX4GvftY1D7UuUVAeHViSYYYBA+8SkKJqYC5fGwf7UmnuC35HXxoaPishLagkHolS70K6FKTE/jju80OGQs3m8PsfWE+lAk+NbJCUMwmTe53prljwIpdq6rikP24oiLHMqyqz7licNP/7OEF9wxTvLhiZn2ya5D1y/KtfIb4fUv3oGM2e9oVb1+/zMzDlRaYdQxCqFDEhQGHU3PH5L0cb2lBhiPc5U5su8UW9x416bTumL49gW1vRasKqXbdrDwvykvn0Wfej6LquqFphsX08ipeFKQDISYZyTcMUbko2zLg9gJQgA+GIolb92rBro4rqtvtYTO3SrDXaiPW5MEtze5lfIdGgg4FZIgwntwrmDXhPIR95Wh/5kR40qeAIhyKK58A3jkKe7jovbquqHCp6hFi8oKdWGIQzovYQm/xJNg/DGI6Cl3X6e/vxzAMNE2z/g1m17uLHSL/MLLj5w7JDN/8pTGlOgCM0UEcU+0YKxDdVYdhYWwECK9OFF/k2IZO994/kXTyLdIMjc+kKCiGbsphhxPaTaGAZbTd2v+pyQlRPS82XTHfofQqZCwKA2nmqtEwHElBXcehoWQYoPoUyubNpqG133JQEEnaCkohmHmDt4902sYYecHEeN30PzF+9wqptMCpkSQ0suxaRSJM47g/wPLFc0FRqFyYFfViipWdL6ymKoyaz2cmNO36T+/VdUV1/hPcenu4a+nCbIdw4uhY9Pujaboly27n4YtztreidUupVIdzIePBbqzFNX1xp3Oy0tw1wFfvWB4VanHTrZcvnmut3gzDW+n393siApGGAc+8Vs+6ynlxK+K9EE19NazOhW/ub6MoL53mjoEoJ5HgVwm6mEt2xpM9DCQQq0e6yc6LnMvSRdmMhTSKctJ5/b2WmElvO9PJPT47IUKE0byq7t2hTTvhobljwKJsi1XtuaitiOko6uvrWbVqleUcrrzyStsJXtyhJzvcZ6qmxPfUxphr6e+xAnH0qHBvH/6/L7eUWes+a65mDB1D9bO/oZsrE0JhaqBhddHTUGkI5Tn2I0IV7nim6jN7XogZpfulFS9NrIRm1Hh1g8pF2Xzm6lLHw2svTEqe5Y/SC4qCjXbrnlXGMiJFeelWQlFVFccsuP6k6dB2uByFTzVFAgULyM5ushtcXTf7bIvro2kGbaeGHPmb9OREB2NLvBb28ICobbHPAjt6hqNotkLKxIuH77UStIcnvKRKxL0uykmzdLAUJVqKZOOKQsfqQDCC7MYZW75JrJpuXFUctXoTcK8aBMS1jVcRb0csqY7qmvbIBMEwxS3tJsmnwvql+dy0fhE1R7usFr8AiX5flDEWpIMdB9pYH1Y0EKEzwMEKEw6h5ph5r+pP9jvCvRBNgY5FPbbnluJRZmMxwcSERLzfZYUZ/MVtS89vjqK2tnbKDzZZHD58mEcffZQnnnhi2sYQq14iFvRTTt0fNbskajURtVoQUFR8c4utP+1J8MNGCW/Xalye0AiGjobKb4evYEGWyuyFlbS+dQZVMfn3xbkm88Ld18LANFzZGUkA4U5fOOoYdta0U7kwtlSHY7i2YivxYNtjyRuW5Yc57fVxY7oivPTUtnrAnNWNV2G8fV+rFR6DiGGPsLDMGb/bWOkGvLGvjZ1h4yoYOddfMT9KPdcts+6enb5T28VSW1tYw4isfuwhF5EbeK+uKyKc6EEQiMxYDUe/BfdK0E2VtEuFWNdUVbj7OlPd93vPRjS4zHOOhLdSkvzce0O5tQpzz7bd4SnDMGm3dc2mxEpz14C1ehNwT0AExIrVrsPlnn0L2J2NqIsRdRUAbx5ot+USsGZYCqaTuPeGCgKBdMto7tjfRnPnYJS6gH1yoOlm69wdNe0Wg8weEopFfRYJ9Rd3HiPR74tJCXavKIpz06MS5bFycbG+s++zvqWfpvYPyC6d2Ps7GcQtuBNhJ7/fz+DgINXV1ZSXl1NcXBxvsynByZMn2b59Oz6f75wfKx5i1UvEgn/h5WitB62/Ey6JphH7cktJqNgQERUUMAyHEq3W2RDubxGkTKljm+86/vfAJhb5O2gM5eHzKXyiRCW3LMADCwPUvvsugycOcbQ7l2dfHwpT+CId5oRhFysNYdDn56ZysnMQMA1uRmpi3Lap87JTuC7cqtW9PLeHnLIzkkwmjWM2bMo1HGg8ZTko8a2QRgc8BfgErKS8bXyCcWI/zxXlORw5cdpx/AijKfKZrhsOdpdQz11TOY+aYz2mwVBM8cETnYOOZGdGaqJnIaFXWMyuWiriy17X2K5Way/0q1o8N0o8UTjUu12OSNcNtr51ghVlOaxdkkdyciLLS83Ernogkjs51vYBGamJcam+W3Y3OT63rw4VoLb5NM0dA46aDMdKC1hsK86zz4hFbsXvUxy5CnvYyt3QqbTA2RBKdeWy3EJ5V1UVMDQSpCncItiuTOsmBojj2Z+NJ1+ts/Yjxm2X+R4eDVnkBAgXjLrCh5s3LnZMbHxqhAoej+013nfuZ+g/X6sjI/ljU56j8H3jG9/4htcXDQ0N3H777ZSUlDBv3jw+/elPs2fPHp577jnKy8spKiqa0oH8+7//O//2b//GCy+8wAsvvMBnP/tZVq5cySuvvMItt9wyqX2NjIzFNHLjITV1FsPDzodHTcvCP68MNS1r3O19gRKUlDmghUis+oS1KnBDHz6N1rzf+jucG8YwDNTZARRV5cy7L2D0dwCGWcW6pAxlwUqyF1eyYHaIW0d+y6yeOoJH95CdE2DekWco9bWyclYj/VoSb55MsEIZd1aqXJvVwnUri2kdSuRQU68lcb6mch4nOgZM/rZP5c5rF+NTFJpsHd7CqggAjI6FuHFVMasuzSNrdlLkN6rCnkOd1n5uXbeAuRnJVB/qIFwwzmevL+eOaxZzeuCMY/92hDSdzr4R8x4aBoE5yZTNn2N9v/tQB4eb+jy3FdW+n7/pUi4rCzA7NZGDx3qjngdVCRtq+70LGxy/37wGpQUZpNu2P9bxAaX5s+kbOGNpTq1fls+NVxYTmJPMresWWC9oanKCScO1XYvSggzSUxKoaeyJ9N8IH9fNM1YVhcNNvXT0jlifdZ8eYd3SedY1376vlZ+8cJDDTX0cbupj08oiDjdFwlRDoyEaWvtp6higufMDinKFjlaksrm9Z5imjgGqD7ZzeuAMqckJjntq3dfwudilYgQMw6yTqT7UwemBM8zPTWdd5Tx8qkJJXjobqvLZcaCd4+0fsOdQJ5cUZ5I1O4mXq5s4FnbuoiJ/WelcGlr7+fV2ZyfJkrx0lpXOZfu+Vp5/o5H8ual8YlUxOXOS+eS6haytnBd9D8LvckNrP/XNp01ig2Fe6lOnR6k+1EFn7/CEbMXBY71cWpJF1uwksmYnkZ6SQFDT2bSyiNrmPrpPR/qw5GWlUJSbxqaVRVxWZrITDx3v5ciJPuueb1iWz9WXmYWeWbOTuKQ4M2r8E/luLKhZNHCA4TMhdh/q4JLwWCcKRVFISYndFjbmiuLRRx/l7//+77n66qt5/vnnAdiyZQudnZ18+ctfZu3a+CGYyeILX/gCX/jCF6Z0n9MFQYWNBWulYLcO4Qc4iMLAqMpsR6MkBVQ/uRVV3JRbAsCZvXsZOx4ycxVaiPa9O8g0QuEZhsFnUt6ifSCT43qAYrWLy1u24UND6foTVUs+w+98KdYs5ZrLi1heOjcq1GOfNdmlNNyyzeDNcycyesA0BKKi292DAdtv3Hx8dwzbLnXhfsd9PsUxO7bTWncKJVdV4W/+bCkDg6PWLM9dES62HxoJ2hr2GNS39Ju6rIUfPgAAIABJREFUPkRmm1Wl0TN9L6pnQ2u/mQB33nbWLzVnlkKCBIiSLQFzBSNotkLmQTiFYMgMtW3euJitb52IaiAVCkUK4sSB7YEQEXbxUglwJ1BFxbj72ruL+O69wczNxQutuCGKKJ3yFebzsn1fa1QPd3s4arxaCUUxqbx9A2NR1ewK5optLKQ5cjb2a2+n99pzYSvCzkCgs2+Ejt5h6k/2W/UUXgwrO+yrcve5xKo7Abj96lI6eoedLWYnQBCYLGI6ivb2dm699VYA3nrrLa699lpUVWXevHkMDg5O2QBmIoL1uxzd8sTD2hDKYcvICq5r7uRSLWgZWGV2DonLbnSEvUTNhqGFCBoK73cncW0SGOGZsopBWWInTaEAlyc24jO0sBPRmX3w1/zDDX/HwYE5lBdlUlGSRXd3QlxDl9B3nJzWg9SP5dJCrsXuETFsIQdup7yKamBhaO0ORuzf3fBoXZh1JQT43N3p3F3pACteLLaPFUIRCfzyokxWVxWye1+LyaIJGwyvIqmofgo4VXANwzTqBxpPWYlQL6pnLOaLvWHSic6BqPadEEmSqzaarVvmAUT/hn42rih0VGWLVZK9sDAWtdmre504F8CaDIi4vJeqrNsZeIVPxCzYF1YVVsM0X/c1ssuzuxladgaTV7VyIJDuDIcaRIoEbdXsogI6IzWRorz0qHCleZ9i66ENjDgjELo1sdCjnncxRrdDmGzbVTtuXFXMgWM9EyIInC1iOgpVVa1/7927l4cfftj6+8yZMxM+wODgIHfeeSc//elPKSw0l1ovvfQSP/nJTwiFQtx3333cfffdMbd//PHHJ3ysjwKiut0RTuYCdaECmo0c/tDaxeJUFR+aGfL5oIvRXU87uuiJmo32vTt4rTNAinIGHfBZ+1RZuPwKAocNOOM8FoZOXrCF4tVVUePz6sSldTYwvOcxbkwKcX2Sj/41XyKId9c8N+UVYstWiNoFe8Oj5Fn+KEmDN/a3ccPKIgKZyY44r1gF2Ps8r6mc51nQ5ZZq+NUf6mlu6/csCLPDLe4mrmHUbDrOjByi1XpFB8BYiqoCfp/CdZfPp7lrgES/z6LZ2mUe3AKC9gR1UU46KUl+R8WuqMdQfArLw8QFQa+MJWZo1yKyf25XlRUOzes+242kW7r741XzogQDBeyrUHf9hmBoxapW/taclJiJ5MCcJG64sthabe44YDKp/D6FlRU5vHWkEwzTgbn1vNyOz74CFrU/mmZECWiK7b3yMuPJl4zXIlXI4Ihc1Hmro8jIyKC2tpbBwUG6u7u54oorAHj//ffJzc2d0M7379/Pww8/TFNTk/VZZ2cnP/zhD/nNb35DYmIid955J1deeSWlpfGTxJNBdnbah9o+EEifopFEo6/+OMOGvTWkGv6fwsriBOYmqfzn/gA/HtjEDUn7KE9oR1UMdC3IwI6nyL3yBrSRAXzJ6QzufobMUJDbUpr47fAVGJhJNAVzZfH6uyfpPjOXlllmbkUUySmKytxLLyMpfJ61Tb3UNJ4iPSWRn71YQyhkKso+8tdrqSjJomP7NtDNZkE+NIpHDrNdz/XUWFLDiWShSnvT+kUmTbHxFJWL5lJR4szzBALpfGtOinX8n/7mQBSNVugWubV1NM0AVeVbf7PW2r/S3ci2322jaSyXplCAXQc7+MtPVVrnpaoKiqKgWcWAkbGuWlpAIJBuXY/KRXNZtbTA0XdCVRVWXprLnoMdnvc3FNLZ23CKzPA5iXNetbSAl6qbrDFUlGRzzeXzqSjJ4ld/qLecqhvz5qZaPH33eP/ik5UMDI9F3bdVSwuoKMni9usqrHMR1xpVxQjLghi6QeXiALdfW2b9rrtvhFf3NFkG6497W3nncKfjnmiaTku4+tk+blHFv6Iih7qWfn7/VjNrluZzw+oSAoF0Muek8I8/3UUw6GyMVJSfweqqQjLnpPBSdRNjQWfv95aeYVZXFXL7dRWkpyVRfaCNhQUZoKr0DAVp6Rl2jiM8rprGU9x+bRl/ORLiJ8/vdzw73X2jPPeHozzy12tJTk600X8Ns/2vYd7rv75tKTfYwlvuZ1bc38rFOdbfTe0f8NPfHEA3DJ77w1EqF+dYz/2v3jhmPUshzWBvQw+rqwqjno/hMZ2eoSAVJVnUNvXy/ef2Rr2X9ud0dVUhq6sKOVeI6Si+8pWv8LnPfY7BwUG+9rWvkZKSwn/8x3/w05/+lB//+McT2vkvf/lLvv71r/Pggw9an1VXV7Nq1SrmzDGTk9dffz1bt27l/vvv/5CnEkFPz2BcOmY8BALpdHd7J1mnAlrGAlD9Ft121pq70E6dIFS3g5zudwgoe3kn8TqOjQV49UwVpQmdKIZuau/0NnHq9z/FtPYqGDoKBgmKwfrCEL4+I1L3YehU+Ro4ylzSlDMY4VCDYBKePj2Mb9YADa39fP85wayJNAoKhXT2HGhlzuAJho++6ziH0dEghfkpUYlNESYArNnsngOtlBdlclU4Du91bbNTE7hq6Tyrw18suL/y+RQKs1PITk2gMDuFQ7v3UHnsCW6cpbFplspjA9fTFAqw/b1msz+zAYZmYEWmdYMNy8xx9Q+NsWVHI398+4QVRhOSHA96iBa+V9tlhXAWF2TQ2NZvFYFte+sEr73d7Jh9lxZk8LU7I02gtu5p4vV3mq2cjhr2gvYZqQEWGw3MsedlJ5OU6GP9snwykv10dA9QmJ3C1+6MhAmzUxPo7h5whDMS/Cpfu3M56OZ9VsKsnMLsFLq7B6xr2NzW7xjL24c6PK67uZ34t2HLV+gGDie6t76bgcFRrqoqYM+BVqtPtntfYgzXXuYKmymK9T3AitJsz9ySfRyC9Va5aC6797Ww/b3mqIS1gZnX2XOglZEYoSPDMOjoHrCupVcRqLjW4hkG2NLQHXE84WOI1Zz7WCMjY9b2Xs+HWImJ5zcY1Hni5YOsKM/xZAaerf1SVSXuBDumo6iqquLNN99kdHSU2bNnA7B8+XJ+9atfUVJSMqGDP/LII1GfdXV1EQhEkj85OTkcOHBgQvu7GCAkPMbqd5kz9KxCs5rb0ExWCRqfu0xlb+JCUpPLeWdnI6sT6h0FRWbmOyzhCSiqSnFeOsE+50/SlREUBUaUpDCjKiz0put01u4jP9cskguFH0LCVEPRC6K8KJNQ247wsSJQ5xY7KIoihHDPpghvPxjSOXS8zwoDTCTmak9SK6rCJUVzOGRjN9lDLfYEsjCIn5pVjS/RzMUohs4ViY20GDmeoQFBpRS9C7xkqe2igOBMNLoT1b/YWmujw2I5I3eFPGA1gbJXPIu6E+GI7Lkb2y21dIyaO+vMlZHNGd3kmvnawxlC7mLXwQ7Poj63ntKGcDW9OCfw1iKyd0DUtGipczBrGK6qKogqWnOHdMCsDLdD9B8XcPeBCGlm/Yw9b+IufoslHCm0vFq6B63VqpAKN8CRTxHhIp+K47p79fN2F3naq+GL8swWvLpm5vNEqNRyPB5NwtyyHYeP93HkxGlrUnc+WqLGdBSnT5+O+vfChQutv8WKYLLQwzMaAVNGe+ZUegMEm94nVLsdDINg/S5mrbkLbD267eym1pEqqKm3kr0mFFOsECNslQy0vlYIh57E2/qxxBauyhrl2sJsqIvw9g0UGoK55BOOt9qMs+inLV7gsQ+iZxmnuk6x97RZ0fzQ3c5Wn46eATCpB1nwze3FX9v3tVp/u6UVRMtW0cs4XYlQSVFg4RyDB681Y8D2bQFaeoYpzE6huqY9bu8Cez2DV3WsgGBxeTkjd91KxOFFKp51zaw7Eft0tgM1fbXdCJuXODJrtdcZCNgNs6oqnOgciIQLDYPmjgGrMt2rBqa8KNNipnnJXYt7JogCwmG45UTMwsX4fdUF3HkIIf8iUNcc3QdCKLa6JyPbD7RH5YVOdg06Chchkmexqx7bHekvttY6ivLs190tbeKuotcNePq1ekcBXzz5cq9OhuK6Pft6PcctQc7oSd25RExHsWrVKsuAuwUCFUXhyJEjZ3XAvLw83n03Esro7u4mJyd2I5GLDWNHthPc/0rkAy2IMTro6NFtZzdlhboJufaREKbeBmu3mx8YGnpHveM3igI+w+C67FYCFVczdPRVNC2IgcJvR1excO5Cy0g88tdr2bKj0eqLbZf0NrWrIjAUlSfe12kcO+Y5k3WL9YF3c3sv2JVY60/2s8DfzWqjhfVXVeDLjVQMQ/QM2KcqDBjJkfMHihYUkuzBQALInJPCngOtngVX1rmGX/KinDRHxbeX03MbQYiEJ9yidlWL57Iwf7az4plohpXow2FemzbHd+Ei6yjNI7shF2MSBtxekOhOWsdqtRqrF4gbbofx5v42S1TS3eY0Fo1VJLuXL57L6cEzrF+WH1Wl7y7mE/ASw6tcNNeaiSvhmhf3ZCNWMySvLnUCYtXh1UnSPfuH6AK+WPLlXp0MAauhWHNX5F30hUNubir6uUJMR/GpT32KvXv3cs011/DpT396ypLNa9as4Uc/+hG9vb0kJyezbds2vvnNb07Jvj8KCB1zxvtR8FSjtVqxjvRHfaekZePPr4ii2YZ3h6FE/piTmogvt5TUWx6ie++f6B84Q2XeUv7dFt/81t+sjdkX26ThhnMqikr9vE/QeCgrbpc2e1VyLMqqG24J9Ct8tcypfpsxDMZ8CfRe+bcWnddiidiaJi1fPJfUjPVwvNEM47nkUMQxhDF67g9HrQY1QolVVeD6lUU0dw1YYR9NM6Iqvr2cnhcrRfy/pXvQCmcYmAyjG1cVU9fcZ32uKDhkO9yzTHuLVBF2c2sePb2t3kHxFWPqHxpzzPJL8kzGlaAVh0I6zR0DUQbK3cZ0IvCiIo9378UEwV7t7ferFAbSPFdzd19X5mC/gbejrSjJspoxieZPXhOb8dSK11TO480DbdbKU1VMmZCivPSoTpLCOYueHV5wy5fbj9/TP0pLt+kQWroHrTyEyB+K61O5MNuSixdU9Ac2Lz9nRJyYjuI73/kOIyMjbNu2jUceeYTh4WFuvfVWbrnlFitncTbIzc3ly1/+Mvfeey/BYJDPfOYzLF269Kz391FDlMTH0hsBrM54Y6goGbkYH3Sa8QbFZyWuAasda0TS/ImoY1h+QvGRULYWrbOBsfpdpLa8RaqhkXt6H4Vcx3EjYLFD4kkF2Pc839/LokSdY2NzY/7OHobxKi6yQ+tsYPStX5JxqoNPzJrPyyMrKPF385mUt1DCczJDC7Lnj2+ybWSJZSxSkxMcoZgDjT3c+olM/NoytOZ9UXIozsIrc8kuwiwbbEqsIqRll9oQ1zRWV7vx+iDbKaQQkaRYUzkPvz/6mrupkmKW6dZHKspLj9k/wT4md6hG0HJ32PIKOw60WffOa6Y72Rh4vCIx97Vza4HZZ+hAVJ4lOyMpKhciHK3dYQcC6TGbP9nH+f/aO/fwqqo773/33ueShIRASEggIYEQQkDuoBIiFykDCCI+jtNaqtaxT/vam50+b2eKHWfs09FaHadOL/M8tTPzjrWXp1q1XhiKWhXBgCI3I5YkBEJCQnJICATCSXLO2Xu9f+y99l577cs5CQmXsD5/KDk5Z++99s5Zv7V+l++PV2Nl7wN9z7I5E02jTAgwLjvNoTQLWJL0pRNH4+CRTud1wl6TAcCsGfrk2GnbAosmixDjpNTVREUJE1wqel3zmWHLfPLVekpPT8fGjRuxceNGtLe349VXX8W9996LyZMn49///d9TPsk777xj+3nDhg0DluUYKbBCf4HSRQjNWIH+A1vMzngEKshZ648F0BCoWG7+HCyvMl1TvFvIgSRB7WpBf/VvrNauAGRoKA9F0KTmmdkh40YFHZLLgLMtbEbzLnwjK4iDk+/FxBlzXCcDL180v+pWIw2IvvooACAMYFXap5AApMt6Uydq8AgI6mP5tkmLZ5J8Ctm7fwuVMI46Q+K9MZFn6y9tfulgaQPxk8fnV00zheSoH5g3EnQ8NEbiJ+rGQqALE/bFVM8+4m5Gm+23QFfda66fZHRbs/dPYI0NC9UY4nd+rCAelb1OvnCw34dUdg88vE8fcO7cWIHFnTVt+MLqckdPhgAXCwoo9jqKZO1nAf8dFL/4ocehBtFtFxhwUQ+YOcVabLCfATg1YeiLGNlwcylM4JyKErIMd5zC11CwdHV1oaurC2fOnMG4cUOvTngtwUt8UDVZQhIAYYLOEiDJAYQMxdrESbuib2BiBWKu5V8GmorYvldtRgIAJCWAxSuXIdNWma2vpNjGPN9bOwY5XHEgAEhExY3juhF2mRT6PnwBicZ9KJqyEGWVnzVfd1t1TzxkxWqoy2xJdhtIwQxIzfXM7yQoigRZtX8hWF91eSgC2SHdLqGzT7YXYxmTyldun432jvOukxsr0SDLEpbNcXYdc4uRsMHr/919HLOyzmJh90cIjOrAnr6pOK7mmZMBAcyWrEGXPuK8ofVKEshICzgSCgBngxt6j5fOsfo5u8moUBmOoE87Tv5epVpR7GZQ+Ew3NtBL3zOn1FLoVTVic5Oxu4Dm9vM2g/3J0U6smDMhaQAdcFdppa/zfSDcjuO1C+RdUKzSrpcx55lblmuOj/6dUKPFqkVflqwnQJfxeO211/Dqq69CURTcdttteOGFF1IuuBOkhpJfBmXSHCSa9tvUIM9mlKDwr+4BwLim5KDZs1vtaoGrkZAVQ2eCgETtq29pzESkL78fkUQecN7+O/6PvfvoJ8hhJ1+jOJC6v3j6PnzBDNTT/6fd+FnXY9c1n0FBt71oTQKQPWMxgpMXIHpit+luk0CYlOGg+WX9LlPfUFmUA+nDQ4ZRNIwn0TDq0Mu6mw15NvdR5bwiz3xztwwg3kiwOxTanGlcdpqphVSECCqz3kBA0lAZAm4MHcW20X+Dt46HXDSS/PuIA+6dzVi/OJsFxk5sNJDtpqzKv4dNb6WTHZ9y63ev+HHwtQfUYLPS3ew1AMD88jzHhMfLuLD3p6G1G799sw7GnKmnkTN1FG730g1+58HvTtwy3djxsR0N2efCuqDYOJTbM3VDI7C5sGhHQPa5HW+3+nRf8hjFPffcg8bGRqxbtw5PPfUUZs6cOSwXIDBgMoSpsQhMmg0lv8zmmmI75jkC48E0hBffBSWnCL1v/wKkxxlMUyZMR2Miz7FFHzcq6PiyZE+dDXS8BxCjOLDqbpC+Hle59YbWbmQd/gDpzFDiR3abhoI/9qyssyDdEe4eSAhOXqDLsM9Za8sOy0nTML1orOPLS4XnAEDN0zPH1I5jUI/vBwDIRLW52dxiDDx+7gqHXIQxKfG+/anhdijQrHgRUUEidYA022bbqVshmduA96XzK32/FN4lsyeY6cB0cuVlWtj0VrfWswO9V/z1VM0qMO8ZlZNnA+/Urbajps2RhkvjKWztAeVPHzTZ5OoJgZnayu6Uk8HvGFKR1HDr483Xp0wvHguZ1k0w2X+sZhlgl1ChHfwAp1wMFfxbXzkZdc1nHAkolzxG8dFHHyEcDuMPf/gDXnzxRfN1Wvewf//+YbmgaxUpPZvxyQOQZeRX6FpMVAAQahyABClNr23gA+PhxXchNGMFYoe3uxoJQEaovAp1x/QvQYnSgevDR3H2rb9gTOVqlBWW2b4sRYEOsP36WK0pFvql+Vw4G4tCXbrLDAB6u6FGGqDklzm+iAWndiIGvoBBstrGxnptv4nXvIGT5yf4fnnptcX2/pE5IsHymWOQOarUFqzeXtNmTpw87LXOw18w9uB/InZOjyfxmk18gJtOnEcTBVAhQzLGqEHCkXiBTaU0Kz2E870xR+MfL/xWxrs+aTMnYjdhP7qD8jMoA81WYu8VH9viJ1oAnoF3WnkM2I1IS0ePWUPz3U1O9xoAnO1x0Z3zSW0FrEmaik5SI8/fXzchQ6+UZ3MyN87NZtiZmW3M+dkOgLxyMX2egK4YwLquZMlqt6s3HpMGZNgHi6ehePvtt4ftpAInofIqJIxOehIAaWyhHkiGJQBI26LSbB63wDj92Y3g3LUAgPmxvYikncbtaR8iAA04BURf34+MDZtRVlhmfllOvvcWMjXVFBKM1VdDNmo9AN3VRM53oC99JoowGnNDzfbCQEJs/cLZL6IaYI2f5UWX0jJdhRNBNJQFI5DlcdCMgql5+AsuvPwcpMwxCM9dBwDo3/sK+M6Boxrfw9rblkDJ143Ejhd/j1mB49iRmAzceZcZWGfrWMoKs1F87gD6d74AFTAN8vTi+bYJhN+hsEYmdqEfwWPvghgKXHT3QOsK6ITNN/5JBq+UOio9aKsGliQ4BPyoS8LPF++2U0kVmkG185M2fHfTAsdOY4kRIGcL1OjENio9aHO5aoTYfPtukuKUpXMn2lqdJtuhubVp3VlzEt/9wkLP55isMM6vwJJV+VWN3QD9NyWhEtPNR58tK2bJNs+iEjl8FX2qfzuDxdNQFBYWev1KMAwo+WUIV92N/p3PAdBAuk4g3nUC8bqdyNiw2chw0uMOrPvJrfcFv9OgaGfbEd3yJLK0OO7MkAytKPrLhG1Sb2jtxgv7NfyfDBkKNMiSpBsyouptXJkAefGFatyakW+p3Zq/Iebux228tMiQxKKI17xhGsFgeZVjsoesID6uDBL0+obFwTpkffKBvl7vBKJNB/UYisaXJwIgmjm2swfewp1puwEAFYE21B8YBzUwD9HXHjfHlnHbQ1DyyxA/vMN2mPjhHSi7Y0XS4GhZYTamBDoQfe09/R4ACEgEG6fFkLFovkv6KfFVnmVh5SQAexol/bk4P8vs5sa7JLx88Xw21UBkrncxbVhVVZ/kSyeOdgTDywqzXavrf/dWvWkkaPoov1PY9mGTQwa+obUbF3rjuOVGvfaFKuX6GTq2cx5F1fTXv/nX9jR9dmHDPi/a24Pvle2222CLlWmtR1FepmvfcK/dHqs1Ru+fXwxtOEg560kw/FjGgMGYwE33kyHz4RZMTnr86Fkz1iHx4TNZsR2zrvkMjsZy8R/qakwLtmPBRAUTz+4z0rG4LCoAk0f1Q4opIERlwy2+KbxKfpkVg2GMoO5643cbQFP7ebMo64ZgAzc4zaFJ5Ta20u6P9Gs2VrCl3XvR+95+yzARFX0fvoBRt30PUuYYgPHgSZm6bE0qwdHEyVqbsZMg4brFlVDyvbOS/ILB9LU/fdBky58ngEPOYenciWjpOOIaY/HyxbPHo9cxJdBhapKxadnJOHikEweOdJq9rv2C9GzPakCX2fj8qnK0dPTYdgqnzvThid/tN/WhAKScbUXZfrDVswjuYEMnth9sdZ34ywqzHc+L9v5gz+vmtgKzo6DB7LLCbFsiRiq1K2wM54aK8Y7AOYCkLtWLQRiKKwiaJmtbTRuTHLsCT9a729X1JAcQrFiG/l0tVmYQe55AGGpXC5T8MjQdOohxzQdQGszQm8pIEjKLSoFzNfpn9dnJdvhQbhG0tlpHEpbXjsIxbsYIhsqrECqvQv/eV6C2fgqawTQ+dgKyNAEaCM4xch3svaLZXrbjT19q9iAPXojYKteDF9odGSdaez3USAMCk+aYQXEAkLMLkCpsRTsxrqilowclRsKgV1aSVzCY9n842OCc6AIuqaz8yp0ek77GunHcsqlmZZ1F9PWfmzs0urN1+7tbMnuCqfHEBl/5Xtf8NbhNZiX5WTZj8np1o9lsiN15Vc0qGHBB4L66U56/IwT4zRt1IIAtOM0aIV5vKRU5F5oF51V/weKWGEAz7NgYDk2rZgPn9O+FfnYgO8JUEIbiCkLJL4NSPBdqkzU5KZPmprySo/CuJ2XyAoTnrtOPn1OExMlaSGmZRszDMBaxKPp3Pouu1mZkHd2OMdBQMUrvXSGBQPrLIYSXbALp64F6phVqw277SWNRQHPWMSQtCgQcRhDQV+SB0kVQ2+v1yVZS8HJdwMwsGT1tAaSmE/azjZkISQ5C62wEayyolAetQ2HshCex+mrImfZ6oXjNG5BHj3fN/Iod3o7Esb2Qc4shhTIQmFiB4PSliB1+11Du1dCy/SXEx06xrUC9Ash8LGHXJ23o6O615dxLAJbP06Uk+NgCPxHVHu+y+bVZ5Va3bKqCUzsR05zFi25/i9Q9Utd8BsdOnnNdtdMAMq8vBdi73LEZTUV5mTgXdQalkzXE8oIXHJyUNwonOi5YQ6QxEi5NmDUGrN6Sn4YZm77LFlUClnYTrzpb13zG4c7yU79lg/a2moxBVNInQxiKKww5Ixsq9zOgS1241VK44RXkpmg9pyH1nNalQs7aKzzDjTv1tE4zuGjEMbSEOUGyWUXmMTuOOV6DJPvuKNgAsvlaV4veT1yLA3LQNE4fns7G0X3GpEEIQudaHccjXSf0L7gk28pc1c4m/XJS2N2Y4znTahgYZo1MVN24QrM9g9jh7aaUCjXQMSOdWIMM2YgFzQ6eQP2Bt4DCO23nSra6pAJ+rIuGl3V3MwAsnxzt9I2J8O/Xkw0CVsyHcXd66VrxwdcAI6PNT3i8xDrtcsdeB1+1LRuWnQbHB5qhRVNuWTXiJ36330iO0HfONEXVTfOJvZ5UNMz4XSHVhuLjQasWFjl6oLCuKE+YDnqpSfAMHmEorjCC5VV6xo/hhgmyVdkutRReuAW51UgDoq//yD3ga6AQawUnsYFpOaDvQlyyilyRJFuGFn+tNsMnGQ1ciQqA6lrp41Q7myBnjkNJQRYCylmoqobSUCcmnD3gfW6iwegIDQBI1O2EWl6V0u6GorXXo//UMbAZWfqYjLGrcfMZxD550+UA+rVro/Ig90RMwzvlwicA7nS+n4Nd6bOSDRLsMhCpBsVZJVWv1TKLkl+GjA2bHTGKZLpWdc1nbKmeXhOeZKR10oJFt4AsP/m5VYq7XTu9Drb9K2XFvEJbjQabdgvA9d986nMqGmb08/R+J1Q9AM7HgxIJDdv2WI2V4gkNr75/DBtvKrUV8fE90vW+MgS/ebNE+wexAAAgAElEQVTeHNfff36+rV5mKBGG4gqDfkH5WIQtfiHJgwpm68bG20gAlpQGTXOVAMh5pUZ843cOtVoKfb+ZHkuM/6gx9L77nwjNvcVmuGyGj6iwJmTNqAAngCSbmVY5chDfW6sryM6PdUGq91lpAVAmz7PiC0bW00B2FPrHEtaYMsYA0bPsb5MeTwKQlleIxIWI+UL62NTlb9hVOqsz5Fa3kcwAVEzO8Y2JeCEbSsX079Arvdatp7bbBEsbFrkpr7qNPxX5DRbWkL2+6zi+c5fTkPm56Lz+PZjrYYUrCQGy0kN6vwtiBbd5AwDogfLa5v22Ir41108yW+KyAXK+eNFPceBiEIbiCoRmA7njVeyfnKTaUAYS91Pakk3WxO4FsY4aG1OM0PmTplEi5yKma4YaC1sAm0qDEM1sD0v6ekB6Tus9N4xdVO6xrVge7YY8vhSqpBjZV9bOwSQzF+G56xA9cciWJcZrZdlGOWosEM4C6bL6Q7BjItEzjpgG3aGEZq92VfENlldB7WoxDZYEIDBp4ErJfhNUsqA4f5xUi+rMHZ8aQ0xSEL7pHoRmrEiaXgs4DZXX9Xspr7LX1NLRg1ojfpKKoWANGdujYiCaVJRUDIsffNHfR7WnbBN/RlrADHZTCXli/M3xRXwZaQFbLIlV3GWLF4cLYSiuEmzplkxdwMBxMRKyAqKxqZwMkoR4fTXk3BIjZdW5oyDWW0EI0BdTEXJpGxeredM0FJ4BbGb1qkYaLPVaArM5k3ouYl2li90Lz7/VNUtM7WrRZduJZrrGzDFcOANc6DYNBP2foajgDHwzu7rQjBVItNXZA/ySDLWrhctASy2474bfBDUQA8C+n9eGYkmcrLWetRGbUXKKwFfvu6njuhkqt+tnr8NNB2r7wVY8t01PkaVBaL7DHg9ryAIBb+l2r4mVLWZ060mdKrRyOqBIZjdDc+dgTPw084waTDZDyi1Owt9Dt+LF4UIYiqsEy/WUuDjXE4ecV4r++Z9F09b/h6nKKa43NwCiIX74XUAJIThrFeIfb4O1gtdnacn4J/WzhtPCQK/TUJBzbaakB2DfOamRBsf7aUV64theqJEjQIItwrK+dDBTiiUEGRcXf/z+6t+YrrvctV9B9/E6fWwmln6TRvSRqYTAcIR5ZkmpkQYoYwtBCsqtToOE2LPKgKTB/cHilfaa7DN+K2xHqjazOOEnrGR9sJPhJeHBp7PuqzuV1FCwuxc2RpFKsNfRs2SQPanZTo2yoldO+7na2PvJ77K8DD/fC0MU3AmGDFu3OkAX4atYho/OZWMcsQfZHJOiloB6shasm0cpmQ+1+WOAqEa2EdA3cSEygwTqGf4AAC/pQeEzuoKzVkHrbIacW4z4oT97xkX0i7Ayo/zqS/o/3sr01dDQHzmmJw7U7rAmQ0nRe3ioKlTI2NFfgQVZXRibiEDii/mMsQCWsi8kBZADxk7FvmNJFtxPBk2/5bPYBivzzWtDsROhGmlApPYgusYtRvHp3ZAIAZSg6+LEza3kt1NxY3rxWFcdKD6ddeH01Fom04k3Ly/L9NenEl+wpZgSexEjlY5PNia+EZNmBOpTndj9YiZ+7/UL4A8FwlBcJQyF64kGyvsPboXadEBf9Vb/BnNWfQevJKahJNCpL9Bdl84StI7jtlcCxXMACVCP7zcNy+hsvfuhV14U1XKK1VeDRLvN9F8zsK3GTNVYNxkS27FGjUVowUZHdhdP7PB2W+EcAJyNnELN2TbMkyRIhpULzlkDefR4nDv8AdoxDp/p2gMp7hGXMQohbUF5pskUiXZDPVHDGY3UMtZ4WPl2ek/omFN1qfB1FGz6sCxLth4aYz/4D2SocYSh4MW+G7F23jjkV8zzvGZ+whpoLKCsMBt3ry53uFLo52g6a7LdRDKSxRe8sqwG4oZypvRatRYDiW8AqTeE8gvgDxXCUFwlDIWEB6AbCykjG6brRksgp2M/lt15F9rf70FB9yeun3OruSB9PZDS7X+QBLrAYfzwduscDGpnk80lowLGSp66OfjSbvukZjvXhTO+K3RqkBI295J+hg8bo+hS92NOWgKKkaYV/3gbIMsIExUlkOEpCQJAHlcMwOkSVHJLrDoQSUGwYjnk3BKjy+DAM9bUSINNbh3QNaeooUg1f56to2ADpRL0/st0IuxJP4S19J4QDenow4HQIqzPn+x6XH4yS9Vw8XituNl01ovppJcKZYV6Z0PeMA2kLez0Ynsjpi+sLk9ph8e/x8vgun3GK4A/lAhDcZUwEAmPZJDebtvP6oWz+h/W5/6v6eLQertBuqzKZyktE4STF5HSMhGaWGGo3qqArCBk5NuHl37RFDi0nSty1FmHQVQEKm6G1tnkKNxTpi6G2vCh4zgmHit0NmvHjT19U0EArE2TDG1X6Ocwg/D2NF15fCm0SINpPLSORkS3PInwkk32y+lssu0wpMxxUHJoj4CBZ6xRBWEWqjkFpJ6ySeso3AKlUwIdyA0ewhEUoD6WjzVpktlnulGbgM/6KLHyk9nFFH75rbgHs1MZKGxnw/oT3SjK0+NJA5HzTvV5JBsPX4NB05DdPuMVwB9KhKG4ivBPm00dfhegjLImHlqo17fzV4gzhkIZWwhlbCET/NUzeLzqPkIzVkDJKTL0miwXEk0/tSErUHJLkKi1q7UqZZVQxhZC9TISBm4rdL903mjpSrR+nI9EQsMf+xbjzowP9YldpoV/9jRdKS1T3yXYdhhEL7o7ttfmEiSAnh3Gp+UmcRt6rS7dTAufYpvMpdHQ2o2W01FXtVPd1fRzkLQE1DQZO2IzIUNP1VRAcP/sPow9tRNqwLk4cds9rK+cPODah1QY7E7lYs6x65M2szXwQOS8U3ExJRsPX4NBOzu6fcYrgD+UCENxDWL1vtB3AVlzVoAv0fGqEDfTVRn3l5cBU/LLEF50O6InD/tWcyuT5uppo9x7lLGFILGox6cM0rNdz201e7LvKJSyShSsvBePVcbxQU0rphcvxKjAZ2xpujR+onU2IVheZU8VtUEg5xabelSsoCFvONmaEdJz2pb95be6DJVX6QaUuTcDCYj7icWVFWbrCwItoRd/QcPy0ScgMclloxrfRawRrrIxXruHVAzXQA3JcEtUuJ0DgEPOG3Cv97jYc/HjYWswJOPnS3EPvFC+//3vf/+Sne0S0dsbS9qw3ItRo8KIRn2ybEYAcmYOAoUzIY0ej/Ci2zGmbJZjzPx7lPwy47UZkLLyEF64MaWJSs7MgZSRDbW5Bl5JpnSC1iJH7J/NmwytsxnkvLfqZ3DmSgSKrvMY4wwkIg1An2UGA/nTECiZh5LCMSjMyUDO6DT9vRPKIWfmgFzoQv+u34GcbYXWeRzxI7sg5xY7rk1HQqB4LgJTFgKJOEJz1iA4eYHteOy1EEmGdroZWscxxOurIWVkQ8mbjN2ftuPT411mtk1psBMF3Z9AkvXJKl5f7djNSFl5CEwo97wvFP7YeWPSUT7J2kHGmz+G1nncGA2gZI8Hes85D0Q0aD1dkLPHQ87MQezwdow6vAU3Th+DsSXlWDA9D22nL0CWJeSMTvO8Hmq4Pj3ehQ8+jWBGyVjH+xtau7H703bbsXJGp2FGyVjkjUnHbTdN8XXp0M9OKhg9oO8yf45J+Vn44NMIYGQ+LZieh2de+9T32pNBry83Ox1VsydAliQUj8/EpPws27FkWdJVYomu/0THnJURRFzVsPqGYiwoz3Pc0+37W1AxiOuSJAkZGc7e5BSxo7hGScWN5faewbi/lJwiRjiK2OU+JBlBQ1KcNyNaZ7NDCTdodLJLNO5DYMpCsye3F+SsvUUnu35wW9k6ZE7MtGAeCVCCILGoLpJINKjt9WY8wi2WRM51MCm6VhHb9OI8c6VYGurEvMY3EDumN1EKVixz7sZSSGaggouzsorwms8qlN+xkLNtCM5dx6Un631B1NZPEW2vN+pp9AD76NZDmDf7s/jBnzNSzgpKpRd1ESLo+SiC4MplKJmltwROZafi1gt+IPDnGEgf7WTw1/f5VdNM1xavz+WVdszHUPgEAhHMFly1xOqrrYkIhpEwpArOz74TWfllOJMzE1kth6yJXIKjvauthiCJgQBoIJg1DRJChguNTRdlJzdHrYms6DpPDHJBOQKT5hhS7c9Zq301rmdZ1VfbpC+UnCL3wDpR0X9wKyYmYvjnqpk4iJm44dQBSBGriZJ6ptWKeUCCnFuCYMUyX2MdO7zdbJubo+gaWY1avqtYnJJfBqVkrk0XSwplIGP9dwAAwckLmDiTnr6caNxnO0aicR8SalXKWUGsUZwf64IaSdi0pIoQwdey3oQCFdhdAzXPvQ8GDz+Rf3K0Eyvm+Av3JcOruNCvaM+rYI6/PioS6HXf+HN7GSoRzBaMCEjUnmVF3YL7YlPQi5koBHAQM9EWXYxl4b8AkHCueCkWGUbBTQk3FTTuvHLBNHPCsctuW186Jb8MwdmrrZRUoteLqCdqzJhOcNoSkL4eJMw6CQNJwrkL/UhXY4Ywor5rCFYs8wys094jo1sPYUVBObTuNu4NCWTc+g+6AarbCa2zEf27WnxTgu3GK4aCeAsWrV7qKhanRhoMtyAdgz19V8kv0+MwbE1LaJTtGOHxJQicTM13TlfKJw/XYN7xtyDVxRGt/5NdS2rfUQRoW90B1AzxPvzZU3OTfmYgJMtoYncMbs2P+OtbOH086k90pxxz8IsJiWC24KqH77FBSyNGy/0oNv7YpxePxWvVFfjgfLkedJ0/f8jPq4y1CrbYdFH2S6dGGhCv2WZ9iKjQOpvMzC4zA8oluN07/jr89+Ex+GqGBAVEL1xkM6G41q48pvwHe81G1hQ1PMlk5p3xDP8+HPaWrZLZDZDF4XqLXbD9mB0mA8p0KivMxqRT3Ygdo/1FLDfclAAwPnwUVJBRklOvO+En8orJOUOupOrn/mJX/G7Nj9wywgYiw+FnqNyq0YcSYSgEw06wvMpMqzU1/CRgwoKbUOjjkx2S87pkbgGW7LZrjIKbaAm4/t4etRnNSgmOxnLwrjwTn0n7VB+vEuRau/pXm7MoZZV6jIDKg1ClXJ+iPTczRPp60NdSh/6/7HfETazssLhZMAjAVj2vdTTajheYshDxT9403XOJup2YUl6Fskr/VT/bqMphvIydA6BnX5n3YNIc390Ee0w3HapLCS+n7tb8yE2ig5fhGIjEx6VCGArBsKPkl0Epq4TasNuSIs+djsLKdbb3DfWXwKvGw+98jglMks24BuDR11x/IyZmAVNDnVieVmsG6sNLNlk9RUoXQU2SKsyinTpm7UKIamiruO9IaKEk0rPsv5AVkFgUrc/9k641JQcwasN3bcKM4SWbzJhG/67fAYBRSe7sXSJl5iI4eQEQ67VqalJwDzn0vJh7ahzZSk82JeQB9USNLZXY75h+XR8vBfxiB/AW9eO5FAWFF4MwFIJLQsbK/4N2LR3RIx/h41gxth27Hn/f2j3sX4aBZmnpMuDWhByoWG77vJJfBmXqDc6e4UoQ+RXzcB8OIlinmdlbVFZcjTQYRXupGQkAIOci1g80AwBwTMysFhSPPH4qYjXbAE1vb6upcURqD2Iio6qrFw0yWlTH9no2uCI9nYhueRLBWassyXaPLCxWyFDrbLJ2YlrCET+iN0zJL0Nw+tKUjJBe32IYUjWGWH010i/SUNCdFNvVbyAMRNSP5VIUFF4MwlAILhn7Ri3Dy+eK9CJo6cr7MgDGjkEJ2groHPQ6fcB055APINrwpqMo0btoL0UIMXqBw+Z6ctOCYqGyIzQuRAA0xPMxEW4yJ5J+zaWLoLb5dENU44jXvAFT2n3WKseE6ugjTptTGefh40esQQiWV7kWdvLouz9rh5Wo2wF1EJO7OSyuVXC8bicyNqSWcXWxXM5iulQQhkJwybjSvwxAappafG0HoIsdsp+nq1LzMxMrEJP8hQaTolfNAVoC0bd/oRcIJmuEZKjXEmM3QiCjpEB3T9llTiQohdchULoIpK8H4aq7oXY26Sq4hpQ8fZ9usOjPBPGaNxCcvMB2r+wNmwCH/EkoHbbuhJJiq/RPRdfMMXZNte+0WurQu+ctc3dAx+x2zIbWbkT37sZko/2tfryBK/0OluGI0Q0lwlAILhlX+peBksxdFZqxAvEju2xZSny9ecIIotNVKYDBaAJyMAfo6YTW05nSp5SCaVDb6/XKawAF8RYA85yKxKWLLOVbxudPA8ZSWqalfcU2ZXJzD/GxErYVIdH0HQnsqcW2a07BZeiIJ8mKbad1csuPANXYHVAdMaIiJskI33SvmXJtFfmF8PUsGQHJcB0mKWz06hEyWC5nID4ZwlAILilX8pdhICj5ZfZ01lC6+c8YdZsAgJbQf9Z/4I4i2Zo/QVIQnLMGWmczkJ4F9eiH5o5AKVsMteEDDNzaSJDCmZBkRY9TKAHXlbuUlqnvAqjPn1lNNybyUNcXwPTxY1E2w3p2NADONzVSIw36tbP3yxynocrraAQ18B4r/I5CHj/VzJzSXX2M64yNDREN/e//yqxFofGBRpKH/zi/Bp8t6UBJQZZvjMLhWgOGxFhcqQhDIRAMAq2z2fNnXsad9HZDTncxjkoQ4XnrgHnr7L29qa+cTqaSjPB1n0FvZ5OjJ4g/EiArVrGgRzxB6zmNxL5XmJiEZK6mvbJxqDqwmyvHUcshybZxWrUoTF0JF3dJRU6fr6LX2usRaz+CmKJ3SfSFEMTrq6Hkl3EuUQlZ4wsQLLcaNblKvXCutcSxvcJQCAQCO3ycIlC6yPw3L+MupWfbazoMDSd2xWrz7/N6U0T3vYdmrzZXsX7IBeVm9TjpOc1IwxPEP/4T5NHjEZqxwqNnhx6roEKQdbutpj1FiCC69zXEzk0yW8+G59/qOD+/55GyC6B2tTja1cYP74B2+rjNqAw05VUeV8z1MNHl33XD7Z1ODFiV+37V4s2j57tLvfg8f5bhbrZ0qRCGQiAYBJ4aVHDKuNNmTn41HSyBiRWIsYFeGE2ijHPEat4E6fbaWegtaxVDC6v/IJ8RRcwqaNeeHUrQNBKAlYBA9ZeCERX9RtZuTA7YsoLYIj0wtSbk7EnDwEmIGT3OHdXtTMGd1RY37pny6t+YihiKv/Ugqq6R5ZaWbLbhhXe1+Mkpimvaqt/zp1zptREDQRgKgWCQeGlQeRmFgdV02FfCmpFVRc+pRhrQ9+ELVpxEkm1ZUVQbyjXF1ZiUbcFsSUZw+lKHX56utqN7X0MwotqD9lrCdN/wqaWADGnUWJALZ+xjUuN6YJk3UEzg2Cq4I0jU7XRNeeUztqTR45m6EwlSKAMTvvB9dP5lP7erss7HF/05iimJhrJgBAEl11XqRe1sgjw6j+lgaOdKr40YCMJQCATDwMV0I9RX1nZDwTtQlPwyjLrte7aMJD1jSc9gItFu7zoIEJBYNOU01LLCbKiBSkRf2+5YmSfa6sxrsJ9P44yEdW6ts8mQJNFcDVQqBXd8xlZo7i1WNbmR/ZRWNB2Bs1H0ffiC7bPSmIkIzV7tKqEfvukeW5A+v2Ie/r4sz+Y+SrXe4mpIB08VYSgEgisMh9S5pLgX/sFukNjgcr9PER4AxD/easYqUjFo5iTKxUjI2ZOIbnkSypSFnp+VRudDyshmssQIAtOXQc4c52qgUim44zO21M4mq3LdoK+ljtvlWNfs1SVQySlCoGKZrTK7DPYKa7eeJW7GbCjSwVMN7A83wlAIBFcY1HU1UCkJ1mjwAXU3Esf22owL4F2QBtAGVC46V1oCWptbcycdcu4USM9pQA6Ykh8hZkz8ZJjqToe+7ohVaCpi9dU4nx703lW5TO5sIB2uelQ6zp4l3vUWF5MOzvYViSmXV8tKGAqB4ApEyS+7KN2iUHkVEoe3wy/rhwBWhpGkGC+qntlGukvMnvZK/08ucNpN0HcSetxAj5vIuaVQ8krMCbj/wBbGZWbPckrVdecakAdBonYHzju77gKyou88XCZ381hJpNwHa8gHgl6n8SuYz0+NXbIqcTeEoRAIRiBKfhmUyfOtznXQlV8JU82tsTIkRIU5KXlMknxcILxkk5WCW7vdbpOUkC5HzrjAtM5j0M60QM4tsSrAQYvv/CdnN9RIA7Se01a8A7BSbYnqtJFyAOGqux1pul7j86vKvlhD7ofDSBj49RUZboShEAhGKOG56xBtrtEnPiWI0Pxb7dIbJnphHgDTNSSlZaL/wBZH1pabS0iNNFgxBaNdqzKxwlGUqL85bqjTGit3I6ANWKv8VPzyNjeRpEAp1vtq23WpOIhmGgmaissrA6fi8uKvY7AxhNjh7Ygf3gEpcwzCc9eZ2WP97/8abjvBpLpew4gwFALBCIVN082duQDnwxMRP7bXvpMAgHAmMtZ+CwC4DCpn0ZubS4j2tIgf3gGtqwlaxzGuCI4jELJ2AXIAwVmroHU2m0VrqRTc2dxERNUNBDTH/CqNmQhy7pTNAPodn/7bzZDwXEw/DFYCBJ1AtPljZGx4iOs4yI1F7CgEAsFwQCf2tLwsnO84D3K+w/mm/vNQu1rMegCtsyklXz3F7LWRooy62nzAqE5fbnNDqe31evwihXPb3EQeBXUAIGcXANkFINGzCFYs01flPscfyOSfakzD9bO8uq6hfOtnDMSOQiAQXBL4uAGlf+ezRlaSLk7IrviT9ax2DygDlqYuu8w3mmIQVf8fN3Gb/cWTxAlYNxGJRT17cqjNB824Rf/pZoSr7vY9fqqTvxkfIYZMCCGuk7yXwqxDqt7QujKr03kkKelzGE6EoRAIriHSDGkPq/EQg5lKqiFQsRyAXT7dzR/vCCgbBXRyboke6OYncckKXifqduoTN025NdrOhsqrXP3+nvGAWK/3gFlxQi0B0tfjG4dIFtCmMiXOqneC/upf22oz2M6DvMJsaMYKvViRdko0Msi8Wu0qxfNFHYVAILh0pN34Wcijx9uL5yTZmsTlABTGJRSvr7bpM8UkBeGb7oGSU2QFlCFDzp2MYMUyAJYGUnj+rZBHj7e1RGWrrmnDJ3bX4RYH4V1C5vXQzCkvWElzpl+FH4HyKte0V399KdgaJ+mdB/9k+zWrMKtLse9xfDYwsULvzcFuwuSArr57GRGGQiC4BqETFpt1o3a1mBO6w5d/bK81QRqCecGKZUz2kgqt4xj6O5vM1TC7ijYFDQ9vt/Xalozj6cfVEKuvhuxSAGhrJavGLL0o49xeyPll0NoboKfPSlC7WjwD9ckK7qwe3R5IspktRnpOg4+sswqzjqA163piugnSroOpBNeHE2EoBIJrFHYCNwPSRlA5vGST3ZdfugjqycO2Sd2MJ7B9JTiXSbx2h/McRhwkvGQTlJwiPbVWjQMESNS+pxsMSTFW1noBIC8RonU0Gim9NNPJvcWsFmlgrk2zp+ZyMYhk8Qm+R7cyeQEQCDMNpSRdb8qthkOSbOKBem/2kD5uSdZ3aMa5vLoODjSzaigRhkIgENgnSTUOtbPJ1ZfPCuaFyqug5JaYabF6qqqhYGsgZYxxngMw3U6hGSt0NxKt76AfZf+tJaCd4tNtCeScYih5JXrmFBUE5CHEXqdRughqe71rDCJZfILPOpLSsyFnjoNK214QzaE3xV4HK5lOg/G0upsaEb6W42Iyq4YSYSgEAgETRLXkvUPlVbbGRLxgHgArTmA0Y5JzS6xJX1JsvnWrz4ZqnkMtr9InYLf0VkmC2W3PJVtL62yEdqYFGeVVpqSG2QeEWhlZca3GThzbC6RnoX/vK2ZGUrKCO17jyQzGM1LteoW5uyuMlUy3BcWJinh9tad8SarV4mqkAWfqG6FmTxlyYyIMhUAggJJf5ivv7ea/t8UNSALauQ4Ey6uQcdtDPtXKzIo7Se2AnD8NgUlz7F3xjuyGJCuGFIm++0mcrEV4/q1Izy+DWl6lT8CH34PuliK2TCS3mg82luKnMaXkl0EpnmPJohiV3uElm5A4thdybjHin7zpfZOZ5kyOoLgxDsAuzJhqtTh9PlHDoAy1i8onXUAgEFxLBMur9FoKwNbDGnD33/MTvNp6SJ8AAYTn3+ouKmjrpa2v0q3MJzvy2ELzOGqkAfFDfwZ6zzqaIbHXYZ3T0nyK1Vc7x8ERP7zD9Rps44s0QG2uYa5fNqvY1ZOf6inHbu4vmlFGpVH2vuISFNd7hES3PInY3pcQ3fIk1EhD0mui19VHjR/RbEZnqBA7CoFAkBQ3/70+GXF9qZNVU9s6yBGoXS1wE3lle3CokQZmcjX0oRgcsQP+UG7j4FJctdPHoUYaXNNybfECxkUmjyu2V7F7ZF8pxfOgjC/VjcT7z9mNJXOVWmezwxgD/pImzs6CAG88hwJhKAQCAQAuZZNzPXm5QGIKN+kmqaaWc0tsOlCJY3sRXnQ74pwkulI8FwAQfeOnUJsO2H7HpxSRWNT2c7C8CnGmZzmb5qrklyE4a5Wzkpto6N/7itkv3Ioh7ND7WxjKs2yWl9bRCO10M2DGXdwJFM8B6etB7NO37UYiPRvov2BN8ulZjqrxZMFsZ2dBYzhDLPchDIVAIADA7RokGaTntG2Vzfvv3Sbd4KxVvr7xYMUy9DOGIlC6SDcgBdOYDngA6e9B9NUfwivtlYVXqaViiOHuRvS7BHZVD7eM2noI0ZOHEZyzRndz2ZohJZBorkGgvApaZ5OengsCEA1y7mRPEUQpZ5IV8OcyoiRJRmD2auP+EagNuxGcuw5SKMNujH2C2VaCAHOfUiwsHAjCUAgEAgD2lM1E3U7Ea7fbsnHc4Cddr0mYQmsqeP0jZWyhzVBoPV1IxUgA9kI2dixjZ81HR8d5x+/YlF0HRHVUVFPU5oMAiF4wKFtFg8GKZeg/3exc2UsyAvlliJ9pcU2bDUyrdBg5rbMZGeu/YxuHl7R7rL5a743O3Sdl0lyR9SQQCIYPJb8MMnVBpZC7z0+6vv1baBYAAA/5SURBVJOwAVvoR7HcRfrKWQqEfHrzMddbVuk4VjLC89Yh6te3ghoD2lAJgK5QS2tEdC0stud37NN3QLqsSV8aMxHpy+8HAH1cxG5EpJxJSLvxs4gd3m4TB/QyesnjEhZyxuBar/ohsp4EAoGNwMQK3VduZOr4uTHC89YZgoBw1E0MBOouCl1/p/7/2atT+pwcTBvcuW57CIEZN1tZXjYkvVK6ZL5Ry2H/HSQZEmAZicPbbUYC0OXN/Vb1JNaLvp2/Mt6s2P7ff2CLLeNJjTTYXvOKS5jnzi3x/N1gETsKgUBgQrN8aJvTZJ3b6KQ72C5v/LHYeAgA9O/fAlzo9PxMKrsOr3Ol55chlluC/j0vAf2si4pAO3fK6JZnloozv9Zsbrl4rTO1VjJW9Z6Tek+nXrMiydY5NM3obqeZGU6AM+vJS2HWOPOw9K0QhkIgEABwFtWlWrTlV6R2MVAXFeuPt7U6ZVJoB4MaafCU/kg07vN2TdHMJVpP4uJuo9eVNE2VaMaOTNeK4vuH6+exZz2F59+KYMUyqzgSMBVnpUBwWPpWCEMhEAgAXFzHtuFEyS+DYijbBuesAYn1usqADxQ/F05gykJn5pMNyXTLBSZWMDEPCeGlXzSvK+nq3ki7VTubdEN4osYMktMJP2am5Eqm4ZFzS6w+HoChaaVg3F/dj/5heGbCUAgEAgDJRfEuF2x/abX1EMJL7xtwANsNt9W+nFeKYMUyhGas0Ht2eLR4lcZMQGDCdAD+7jfX9FXaI0OSEa66G0pOEaeZtdxmBMNLNqF/568AoqJ/57N6wyPXHQ+B2uvM8hoKhKEQCAQAvFMxLzd8f2m2AdDF4Lbap0YiWR9wcvYk4mfbHGJ+PEp+GeQ8rs6Cuq4I0XcSbO8PaJAyx9mL6pprwMZIzK54PJKE9JLrMBymQmQ9CQQCEyW/zFWn6XLCp4y6pZAO6rgTK8ALflCjpPfIsFecO7FECf2gXf8srF7iibqd+s5GUozXJbPQ0TxL9Gwqw4GUlY+0oukpvXegCEMhEAiuaEIzViC89D4ohbOGzO0EGJXlc2+xvRYoXaQLENbttF40pMpdjQUnnugGe/3BuevsKbeaqosi0hoNoiJ+eLtNFNBpaNyRxxak9L7BIFxPAoHgisetSG8ooP3D2Urx/gNb7EFuTZcqd/S84DrTpXL9/Qe2cAq6sl5dbYs32JMJzDayNW/qZRxpmbYqdgC6MZs7fH21haEQCATXNLwRctYpEEfPi8HGcdxaoGqdTU5JQW6nwl5j9I2f2t4q55UibcmmYXUXCkMhEAgEDEp+GZSpNzBBY2fPi8FOym4JA2qkAXGjVzglMH2p6znUSIOeQkuRlGE3EoAwFAKBQGBDjTRAPbrH9tpQVju7qfAqU2+0ZTNJoXTXz9p7YkgIVCy7JIkHIpgtEAgEDHyDIkhDL9vNQ7ojtp/dVHjVSAO0ntNGb24A8sVVpg8EsaMQCAQCBrc4wnCv2pOp8JryKp6V4sOLMBQCgUDAcDkKD23S5y4qvImTtU4joamXTGZFGAqBQCDgGC6hQ7/z+anwuosLDn1vbC+EoRAIBIIrAD/j5BVMHw5JcTdEMFsgEAiucAITK6wGUZRh6I3tef5LchaBQCAQDBrqmuo/uBVadzvkMQUIz113ydxjwlAIBALBVYCSX4aMNQ9elnML15NAIBAIfBGGQiAQCAS+CEMhEAgEAl+EoRAIBAKBL8JQCAQCgcCXEZn1JMtS8jcN4+evRsSYRz7X2ngBMeah+oxECCG+7xAIBALBNY1wPQkEAoHAF2EoBAKBQOCLMBQCgUAg8EUYCoFAIBD4IgyFQCAQCHwRhkIgEAgEvghDIRAIBAJfhKEQCAQCgS/CUAgEAoHAF2EoDF5//XWsW7cOq1evxm9/+9vLfTlDys9//nOsX78e69evx5NPPgkA2LVrFzZs2IDVq1fj6aefNt97+PBh3HHHHVizZg3+8R//EYlE4nJd9kXzxBNPYPPmzQC8x3Xy5El84QtfwNq1a/HVr34VFy5cuJyXfFG88847uOOOO3DLLbfg0UcfBTDyn/Orr75q/m0/8cQTAEbms+7p6cGtt96KlpYWAAN/rhc9diIg7e3t5OabbyZnzpwhFy5cIBs2bCBHjhy53Jc1JFRXV5PPfe5zpL+/n8RiMXLvvfeS119/nSxfvpw0NzeTeDxO7r//frJ9+3ZCCCHr168nBw4cIIQQ8tBDD5Hf/va3l/PyB82uXbvIjTfeSL773e8SQrzH9ZWvfIVs2bKFEELIz3/+c/Lkk09engu+SJqbm8lNN91E2traSCwWI5///OfJ9u3bR/Rzjkaj5PrrryenT58m8Xic3HnnnaS6unrEPeuDBw+SW2+9lVx33XXkxIkTpLe3d8DP9WLHLnYU0K3z4sWLMWbMGGRkZGDNmjXYtm3b5b6sISEvLw+bN29GKBRCMBjE1KlTcfz4cZSUlGDSpEkIBALYsGEDtm3bhtbWVvT19WHevHkAgDvuuOOqvA9nz57F008/jQceeAAAPMcVj8fx0UcfYc2aNbbXr0beeustrFu3DgUFBQgGg3j66aeRnp4+op+zqqrQNA29vb1IJBJIJBIIBAIj7lm/8MILeOSRRzB+/HgAQE1NzYCe61CMfUSqxw6UU6dOIS8vz/x5/PjxqKmpuYxXNHRMmzbN/Pfx48fxpz/9CXfffbdjvJFIxHEf8vLyEIlELun1DgX//M//jG9/+9toa2sD4Hy+dFxnzpxBZmYmAoGA7fWrkaamJgSDQTzwwANoa2vDihUrMG3atBH9nDMzM/Gtb30Lt9xyC9LT03H99dcjGAyOuGf92GOP2X52m6/8nutQjF3sKABomgZJsmR2CSG2n0cCR44cwf33349/+Id/wKRJk1zHOxLuwx/+8AdMmDABlZWV5mte43Ib39U2Xoqqqti9ezd++MMf4vnnn0dNTQ1OnDgxYp8zANTW1uKll17Cu+++i507d0KWZVRXV4/4Z+31/Ibz71zsKAAUFBRg79695s8dHR3mNm8ksG/fPjz44IP43ve+h/Xr12PPnj3o6Ogwf0/HW1BQYHu9s7PzqrsPW7duRUdHBzZu3Iju7m5Eo1FIkuQ6rpycHJw/fx6qqkJRlKv6uefm5qKyshI5OTkAgFWrVmHbtm1QFMV8z0h6zgDw/vvvo7KyEuPGjQOgu1T++7//e8Q/a/75JXuuQzF2saMAsGTJEuzevRtdXV3o7e3Fm2++iWXLll3uyxoS2tra8PWvfx1PPfUU1q9fDwCYO3cuGhsb0dTUBFVVsWXLFixbtgyFhYUIh8PYt28fAD2j5Gq7D//zP/+DLVu24NVXX8WDDz6IlStX4vHHH3cdVzAYxKJFi7B161YAwCuvvHLVjZdy88034/3338e5c+egqip27tyJtWvXjtjnDAAVFRXYtWsXotEoCCF45513cMMNN4z4Zz3Q7+9QjF00LjJ4/fXX8cwzzyAej+POO+/El7/85ct9SUPCo48+ipdeegnFxcXma3fddRcmT56Mxx9/HP39/Vi+fDkeeughSJKE2tpaPPzww+jp6cF1112Hxx9/HKFQ6DKOYPC8/PLL2LNnD370ox95jqu1tRWbN2/G6dOnMWHCBPz4xz9Gdnb25b70QfHiiy/i2WefRTweR1VVFR5++GF8+OGHI/o5//KXv8TLL7+MYDCI2bNn45FHHkFjY+OIfNYrV67Ec889h6KiIuzevXtAz/Vixy4MhUAgEAh8Ea4ngUAgEPgiDIVAIBAIfBGGQiAQCAS+CEMhEAgEAl+EoRAIBAKBL6LgTjCiePTRR/HRRx8BAI4ePYrCwkKkpaUBAJ5//nnz38l4++23sXv3bjz88MOe74lEIvjWt76F3//+9xd/4QA2b96M6upqs2iO8td//de49957h+Qc7LmmTZuGL33pS0N6XMHIRKTHCkYsK1euxE9+8hPMnj37cl9KSlzKyVsYCsFAEDsKwTXFrFmz8JnPfAa1tbV46qmnUFdXh+effx7xeBzd3d348pe/jE2bNuHll1/GG2+8gWeeeQb33HMP5s2bh/3796OtrQ2VlZX4l3/5F5w8eRIbNmzAgQMH8LOf/Qytra3o6OhAa2sr8vPz8a//+q+mwOT3v/99xONxFBcX4+TJk9i8eTNuvPHGAV37ypUrsX79elRXV+P8+fP427/9W2zatAmAvlv69a9/DVmWkZubi3/6p3/ClClTcOHCBTz66KPYv38/FEXBqlWr8O1vfxsAcODAAdx1113o7OzEtGnT8G//9m/IyMgY8nsuuPoRhkJwTRGPx3HzzTfjJz/5iTmJ/vKXv8TYsWNx8OBB2+TL0tzcjF//+teIRqO45ZZbsGfPHhQVFdnes3fvXrzyyivIzMzEAw88gN///vf42te+hm9+85v4wQ9+gOXLl+ODDz7Afffd53l9zz77LF577TXba08++SSmT58OAOju7sZLL72ESCSC22+/HQsXLkRXVxf+67/+C88//zxycnLw8ssv4+tf/zr+93//Fz/96U/R39+PrVu3QlVV3H///dizZw8A3XX23HPPIRQK4W/+5m/w5ptv4vbbb7/IOywYiQhDIbjmWLRoEQBg1KhR+MUvfoH33nsPx48fR21tLaLRqOtnbr75ZsiyjMzMTJSUlKC7u9thKG644QZkZmYCAGbOnInu7m7U19cDAJYvXw4AWLx4sU36nee+++7zdQdt2rQJkiShoKAAS5cuRXV1NTo7O7Fu3ToztnHHHXfgscceQ0tLC3bt2oWHHnoIiqJAURT85je/AQD88Y9/xKpVq5Ceng5Al6Pv6upKeu8E1yYi60lwzUHdK+3t7bj99tvR2tqKhQsX4u/+7u88P8MGwal0cyrvURTF8V5W0XWg0J4CgC43LcsyNE1zvI8QYjbyYSWl29racObMGcexvMYkEADCUAiuYQ4dOoScnBx87Wtfw0033YR3330XgN7bYaiYOnUqQqEQduzYAUDvTlZfXz/oXgivvPIKAL0HcnV1NZYtW4alS5di69at5o7gpZdewpgxY1BSUoLKykr88Y9/hKZpiMViePDBB82sMIEgVYTrSXDNUlVVhRdffBFr166FJEm44YYbkJOTg6ampiE7RyAQwM9+9jM88sgj+PGPf4zJkycjNzfXM03XLUYxd+5c/OAHPwAAtLS04I477kBfXx8efvhhlJaWorS0FPfddx+++MUvQtM05OTk4JlnnoEsy/jGN76Bxx57DBs3boSqqli3bh1Wr16Nd955Z8jGKBj5iPRYgWCYeeKJJ/ClL30Jubm5aGtrw8aNG/HnP/8Zo0ePHtBxrrZ0X8HIQewoBIJhprCwEPfddx8CgQAIIXj00UcHbCQEgsuJ2FEIBAKBwBcRzBYIBAKBL8JQCAQCgcAXYSgEAoFA4IswFAKBQCDwRRgKgUAgEPgiDIVAIBAIfPn/GrPT8u8x8T8AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "dropout_net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(1, 20),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Dropout(p=0.5),\n",
+ " torch.nn.Linear(20, 25),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Dropout(p=0.5),\n",
+ " torch.nn.Linear(25, 1),\n",
+ ")\n",
+ "torch.manual_seed(123)\n",
+ "optimizer = torch.optim.SGD(dropout_net.parameters(), lr=0.03, momentum=0.9)\n",
+ "dropout_net.load_state_dict(torch.load('dropout_net.pth'))\n",
+ "losses_train, losses_test = [], []\n",
+ "for epoch in range(1000):\n",
+ " dropout_net.train()\n",
+ " y_pred = dropout_net(x_sparse)\n",
+ " loss = loss_fn(y_pred, y_sparse)\n",
+ " optimizer.zero_grad()\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses_train.append(loss.data)\n",
+ " dropout_net.eval()\n",
+ " y_pred = dropout_net(x_test)\n",
+ " losses_test.append(loss_fn(y_pred, y_test).data)\n",
+ "plt.plot(losses_train, '.', label='TRAIN')\n",
+ "plt.plot(losses_test, '.', label='TEST')\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### BatchNorm"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Our last technique is (mini)batch norm(alization) or just \"BatchNorm\". The idea is to get the benefits of preprocessing but for the inputs to hidden layers, and not just the input layer. See the [original 2015 paper](https://arxiv.org/abs/1502.03167) for details.\n",
+ "\n",
+ "Normalizing in this case means applying a linear transformation to each input node so that it has a mean of zero and variance of one,\n",
+ "$$\n",
+ "x' = \\frac{x - \\mu_x}{\\sqrt{\\sigma_x^2 + \\epsilon}} \\; ,\n",
+ "$$\n",
+ "where $\\mu_x$ and $\\sigma_x$ are measured on each minibatch and $\\epsilon \\simeq 10^{-5}$ is added for numerical stability when $\\sigma_x \\simeq 0$. Note that calculating $\\mu_x$ and $\\sigma_x$ on minibatches, rather than the whole sample, introduces some noise (more for smaller batch sizes) that can improve generalization: this is a recurring theme that we have already met in SGD, data augmentation and dropout.\n",
+ "\n",
+ "A clever refinement to the basic BatchNorm is to take the standardized $x'$ and shift it to a new mean $\\beta$ and variance $\\gamma$ (for each input),\n",
+ "$$\n",
+ "x'' = \\gamma x' + \\beta \\; ,\n",
+ "$$\n",
+ "where now $\\gamma$ and $\\beta$ are learnable (per-input) parameters of the model. BatchNorm is usually applied **before** an activation module (unlike dropout). Since our network has a `Linear` module before each activation, the linear bias is now degenerate with the $\\beta$ parameter, so should be omitted using `bias=False`.\n",
+ "\n",
+ "Just as with dropout, we need to rebuild our network to include BatchNorm:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "batchnorm_net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(1, 20, bias=False),\n",
+ " torch.nn.BatchNorm1d(20),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Linear(20, 25, bias=False),\n",
+ " torch.nn.BatchNorm1d(25),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Linear(25, 1),\n",
+ ")\n",
+ "torch.save(batchnorm_net.state_dict(), 'batchnorm_net.pth')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this example, we find that adding BatchNorm significantly degrades the learning performance with a \"good\" batch size of 200 and learning rate of 0.1, presumably because the relatively small tensors in this problem have large fluctuations in the mean and variance estimate on each minibatch:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "for name, model_name in (('BatchNorm', 'batchnorm_net'), ('Normal', 'net')):\n",
+ " model = eval(model_name)\n",
+ " model.load_state_dict(torch.load(f'{model_name}.pth'))\n",
+ " optimizer = torch.optim.SGD(model.parameters(), lr=0.1, momentum=0.9)\n",
+ " model.train()\n",
+ " losses = []\n",
+ " loader = torch.utils.data.DataLoader(xy_train, batch_size=200, shuffle=True)\n",
+ " for epoch in range(200):\n",
+ " for x_batch, y_batch in loader:\n",
+ " y_pred = model(x_batch)\n",
+ " optimizer.zero_grad()\n",
+ " loss = loss_fn(y_pred, y_batch)\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses.append(loss.data)\n",
+ " plt.plot(losses, '.', label=name)\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can at least verify that BatchNorm does not do too much harm with a larger batch size (1000 instead of 200):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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hBl599dUmX79q1Spfh9hsthYg6zZ+z1Ov5VFQVHnuBr3vt5+9LZ1phRAdgM9HFrt27WLBggUcPnzYfl9paSl//vOfWbduHaGhoWRnZ3PllVeSkdG2f3E3dUSgN4mJXdze//nuElSHFiDHTtUw5OLLKMl7D121oBhNdB10FadK99tvx18/C7W2ioj0SwhPy2x1TE3FFWjBGhcEb2wSV8tIXC3XlrH5PFmsXbuWhQsXMn/+fPt9ubm5DB8+nNjYWADGjx/Phg0bmDNnTpu+d2vP4G6qAVdafCRGowFUDaPRQFp8JFVhMUTccra2UZ+cQcQtCU63AaqAqvNo7BWsTcuCNS4I3tgkrpaRuFqupbEF/AzuJUuWnHPfiRMnSExMtN9OSkpi9+7dvg6lTXhqAeJa23BX6xBCiPYqIAVuTdOcjlFsb8cqOrYAEUKIziAgXWdTUlIoKyuz3y4rKyMpyXtPeyGEEIERkGQxcuRItm7dSnl5ObW1teTk5DBmzJhAhOJz0q5cCNERBGQaKjk5mblz5zJ9+nTMZjOTJ09m0KBBgQjFp6RduRCio/Bbsvjss8+cbmdlZZGVleWvtw8IdwckOSYLaQMihGgvZAf3eXDdye3K1L0/9YoJXbegKEaU8GhqN72EAk67vGXUIYQIdpIsWsm2k9uiapiMBuZNGeKUMAqKKsndY+Ho6evobTxOLeFM3rwaRVetT1AMjd1spQ2IECL4SbJopfzCCiwOO7nzCyvs90dFhPDaJwcwWzQgkYMkcn3EHrAlCmhsA2LEseW5EEIEK0kWrZTZ03qWhdq4kzsqIsQ+0oDGQYODQ1o3UHafTRgGE2GjfuLU8lwIIYKVJItWct3J7TjScGQ0wKA+CcREdacirR9JFbvsbcwlQQgh2gtJFufBdSe37dQ8W75QsCaKvYfKsagaW/YamDdlkuz+FkK0OwHZlNcR2UYaYwd3x2RUMChgMhmIiQp1W9sQQoj2REYWbcg20hg5sJt9egpgy97jqKqGYlA4VVlHQVGljC6EEO2KjCx8ICM1hltG9LInj3lThjDm0u4owBe7iu2HJtlISxAhRLCTZOEHGakxxMeEo2r6OdNRtpYgDdvfoub9pZIwhBBBSZKFn9iW2hoUMBoN9ikqS/E+dNXaEkRXrZvzhBAi2EjNwk9cl9oCfLD1MEmWeHrrBoxoqChUhKSRHthQhRDiHJIs/MhWw7C1CjFbNBQF0o03kGE6zkFLCpdVxUqyEEIEHZmGCoD8worGViDWnd6HLYl8Wj+QYyQzoMsPUuwWQgQdGVkEQGbPrhgMCpp2drv31Wl1XB9fRNSXX9GgWWhQjIRdNY3Qi64OXKBCCNFIkkUAZKTG8PMR4RzcsY0D5mSMRoWJtR+jFJrRse781nWV+s2rMcalSVsQIUTASbIIALW0gP77XyAzwowWaaS+xzAotFgf1LEmDKUxYWx/h7ChkyRhCCECSpKFnxUUVVKzfSu9VDMKOkY0dBTMjSuibCMLRddRFFCLvqXm+H7CRk6lYr8ZNeZCSRxCCL+TZOFHtlVQaYRyTxcDIYqOYjCx39SfL6ouoI/pOAWWFABujthFv5ASQAfVTP3m1dQ3nn0hp+oJIfxNkoUf2dqYH9IT+XvVDUzs28Alw0fQ3ZLIsZ0qR+oTUQwKowd2IzEtE+Wrv4NmARTrYUmNp+o17N+CQc7uFkL4kSQLP3I8MOkYyUQOHYIxOYYMOGfD3t7CCgZceQ8p5mMo4dGN53VbQDFgyd8Euipndwsh/EaShR+57uJ27DzrumHPomq8ZzQwb8poMlJjMMalEVZ5iOrSYsz7Prdu0JCzu4UQftKiTXkNDQ0UFxf7KpZOwbEjrTuezvY2JmfQddTtGBLSsf7YFDm7WwjhN16Txccff8zixYuprq7mxhtvZOLEibz00kv+iK1T8tRwEKDuWL51OkpXQTEQNnKqjCqEEH7hNVmsWrWKH/3oR+Tk5DB48GD++9//8u677/ojtk7JNlV125jeTLmuL/mFFfazL2qPfAuaufGZOnpddeACFUJ0Kl5rFrquk5mZyT//+U/GjBlDdHQ0uq57e5k4D7YpKlvtwmQ0MG/KEIakX0KFIcRa6JYpKCGEH3kdWRgMBj788EM2b97MqFGj+OKLL1AUxR+xdWruahfhaZlETphP6NDbZRWUEMKvvI4sHnzwQZ5++mnuv/9+EhMTefbZZ1mwYIE/YuvUHJfZOtYujMkZkiSEEH6n6C2YU2poaODkyZN0797dlzG1mVOnqp06uzZXYmIXysqqfBBRyxQUVTrtvTh2qoa0+EinlVRqaQGWAG/QC5br5U6wxiZxtYzE1XItjc1gUIiPj/b4uNeRxccff8yXX37J3LlzufXWW6mqqmLOnDnMmDGj2UGI1nHde6GqGopBYVDveGKiQhmbVkfcV38HzUyDIYSwkVPR66plZ7cQos3Jaqh2wFa/0HRQVZ28Ayf5fGcxWz/baD+/29Y/qmH7W9S8v1QOTxJCtCmvycK2Gio3N1dWQwXIgC4/cEPEXi40lTndv78hGU0xgmKw/qdrTju7hRCirTR7NdSmTZtkNVQAqKUFxH31d24Kz+O+mI/pHXI2YRzTk6gcMYfQobcTdtU0MIZYk4YsqxVCtLFmr4Z64IEHZDVUAFiK96E3nn1hQGPWUCOf1FoXGIwc2A0z8ElhLJlJXblwQlrAi91CiI7Ja7IYOnQoL774IkVFRRw5coQ1a9b4Iy62bdvGG2+8ga7rDBs2jDvvvNMv7xtsjoekEd14MJKqK5jjM5g+wDpqcGw62Cf0JDMvM5Dcf7AkCiFEm/OaLA4fPsy9997LiRMn0DSNrl27smrVKvr06ePTwE6fPs2iRYsIDQ3lnnvu6bTJYm9VLDuqbqCP6TgHLSlcVhVLeuNjtsJ3urGMn0fmEJKvUVOQIxv2hBBtzmuyWLx4MbNnz+a2224D4K233uIPf/gDL7/8cpsG8txzz7F582b77eeffx5d11m2bBnTp09v0/dqTzJ7duW9LckcqU/EZDIwxaGxYFRECAZFoW/IcYyoKICuni1uy5SUEKKteE0Wp06dsicKgDvuuIMXX3yxzQOZPXs2s2fPtt8+ffo0TzzxBFOnTmXgwIFt/n7theMZGMMHpRIfFQJYp6By/7uFcaElnNHCUDGCrqGiUFVn4IL3l9r3X8hIQwhxvrwmC1VV+eGHH4iNjQWgvLzc50EBPPbYYxw/fpyXXnqJbt268cADD/jlfYORbXOe447M4u928/PIjzCiomJkXc0VRCn1HLSkMPHEKS7QzHJAkhCizXht9/H666/z/PPPc9NNN6EoCh9++CEzZsxg6tSpzXqD6upqsrOzWblyJWlpaQCsX7+eZ599FovFwowZM7jrrrvO/zvpZPa//wrKzrcxKqDqCh/VDyGnZgAGg8Kvr72A9F2r0FULGAxE9rkMY3QsXQZeTXhaZqBDF0K0Q83qDbV161Y2b96MpmmMHj2akSNHNuuL79q1iwULFnDo0CE2bNhAWloapaWlTJkyhXXr1hEaGkp2djbLly8nI6Pt//Jt772hXDnGpZYWcGb9H9E1C4rBRH7mLP6xtQ5N0zGZDDxyYyxJFbuw7NtoPSwJwGAiMuuhNh9lBOv1guCNTeJqGYmr5dq6N1SzjlUdMWIE8+bN48EHH2TkyJH86U9/atabr127loULF5KUlGS/Lzc3l+HDhxMbG0tkZCTjx49nw4YNzfp64ixjcgZRWQ8SfsUdRGU9yAlTNzRdR8fa0vyLY+EcKDeg2xIFyM5uIUSrtegMbptXX321Wc9bsmQJQ4cOdbrvxIkTJCYm2m8nJSVRWlramjA6PWNyBmFDJmBMznA6jlUxKGzeU8K7B0Kx6AZ0QAfZ2S2EaDWvBW53zqc3lKZpTu1CdF2X9iFtwHHVlH7iIFWH93LAnMLTVeO5IvQgigLxg8dxhRS6hRCt0KpkcT4f7ikpKWzfvt1+u6yszGmaSrReRmoMF5rKOPPtGrRwMzeEG3mm6gbeqBkOgHFrHV17VzqdhyGEEM3hMVnk5OS4vV/XdTRNa/Ubjhw5khUrVlBeXk5ERAQ5OTksXry41V9POLMU70PRLRgVUNDoG3KcwxbrtJ+m6+QXVkiyEEK0mMdksXr1ao8vOp9NcsnJycydO5fp06djNpuZPHkygwYNavXXE85M3ftTr5jQdesqqYzLhvHZ1jo0XcdkNBAVEcIHWw+T2bOrJA0hRLO1Klm01GeffeZ0Oysri6ysrDb7+uKsQ5ZE1lZdz4WGEg5p3fhR74t5sLe1j1RURAivfXLA3nhw1kWVxEaFEtJvlGzaE0I0qVU1CxG88gsrONiQQIGegEGx3r5lRC8yUmN4ecM+zBaNXqYyfhH5EaZCDTNgzt/kk/0XQoiOo1VLZ0XwclxCazQayGxsPFhQVMmmPSX0MpVxY/hOjGjYlynI/gshhBcysuhgHJfQOtYl8gsr6Kmc4J4uOWc71NpWQBtl/4UQomkeRxbFxcUeX7Rx40afBCPaRkZqjH3qySazZ1f6hZZiRMWogAYcscSTW9+Pnb1mYEzOoKCokg+2HqagqDJgsQshgpPHZHHvvffa/33fffc5PfbnP//ZdxEJn8hIjWH4NWPAYEJHQcXIO7XDeLthJN0vGmQ/dW/dxu956rU8SRhCCCcep6Ecd2kfPXrU42Oi/UgfMBg18SEsxfuoCEkj/Vj4Oafu6TpYLBq5e0pkaa0Qws7jyMJxl7brjm1pz9E+qaUF9tPzzF0vZMve43yxq5inXsuznrpnsP5cdWDznhIZXQgh7Jo1shDtn1paQI3D6XnF6dOcRhLf5J9gUO948g6ctD5f1Xl38/dMvKq3jDCEEJ6ThaZpVFZWous6qqra/w3W0/NE+2Ip3gcOp+dlhJRiMiZgsWjowP8OVWAwKpiMCqqq2+/bfzSPKdf15UytWXZ9C9GJeUwW+/fvZ/jw4fYEceWVV9ofk2mo9sfUvT8NhhDQLGAwkdx/MPMyEnl38/f871CFtY25pjOxv07EDwc5VK4RqdRTYEnhlY+sCcVkNDBvyhBJGEJ0Qh6Txb59skmrIzEmZxA5Yb69ZmFMziADmHhVb/YfzUNVNXqHnmRM2cegmbki0lq7sGDtXHvYkoiqatKIUIhOqslNebYpKJPJRHV1Nbm5uWRmZpKent7Uy0SQMiZnnNPSw3ET39DKApRCMwC6Yl39YNQ1MkzWzrWOO8KFEJ2Lx9VQBQUFXHvttWzatIm6ujruvPNO/vznP/OTn/yELVu2+DNG4WMXmsq4xvIFkUe/crpf00HFwPdaCkP6JjBqQIrT47ZNfPsOl/sxWiFEIHgcWSxdupRf//rXjBs3jrfeeguADz74gNLSUubOncuoUaP8FqTwHfsqKbXB4V4FU/oQfgjvToE5masSetu71W7Ze5wp1/Wl8HgVm/eUoGo663MP85tsqWUI0ZF5TBYlJSXceuutAHz11Vdce+21GAwGunXrRnV1td8CFL5lXyXlyBhC2OCb6Z6cQXdg4yebuDpkFwdI4bAlkdUf5eO4stpikVqGEB2dx2kog+HsQ3l5eVxxxRX22/X19b6NSviNqXt/MISAYgCDiZCLxhE5Yb69tqGWFjD48MvcFJ7HfV02MCJsP65bcBRFISoiJADRCyH8xePIIiYmhn379lFdXU1ZWZk9WezYsYPk5GS/BSh8y90qKUeW4n0omhmjAjo6d0Z+RYnalcOWRBRAUazHtb768X4Kj1cxcmA3GWEI0QF5TBb3338/M2fOpLq6mt/85jdERkbyr3/9i5UrV/LMM8/4M0bhY+5WSYF1VKFVn7KOOnTr+RcKOn1NxynUkri0Tzw7C06i69Yd35/vLGbj7hLGX9GDyHCTbOITogPxmCwGDx7Mxo0bqaur44ILLgBgyJAhvPHGG/Tq1ctf8YkAcWwPAobGhKGjGE2kDriMhy6ynpu+91C5fRc4gKbp/OerQhTAZJJNfEJ0FB6TxQ8//HDOv3v37m2/HRsb6+PQRCA5tQdRdEz9x2KIjsfUvT9jHEYh86YMIa/gJB99eQTNoZahg2ziE6ID8Zgshg8fbm/r4dpUUFEUvvvuO99GJgLKtT1IaL9RbpdF99MAABz8SURBVKeqLjSV0b/bIXqNjOYfW+tQHTOGolBTZ+HlDdZuAFLPEKL98pgsJk2aRF5eHtdccw133HEHGRnnflCIjstb4Rug4bvPqd+8mhpdo78xhAU338Peqlhq6izkbDuK2jglZbNpdzGjB3WXpCFEO+QxWTz55JPU1taSk5PDkiVLqKmp4dZbbyUrK8tewxAdm7vCt+1MDCU8mvrNq0Fv7ECsmkkxHyN9xGA+2HoYzU2Le1WDz3cWs2XvcallCNHONNkbKiIigokTJzJx4kSOHz/Ou+++y/Tp0+nVqxd/+ctf/BWjCBLnFL11h1b1isG6ZwPred8mo8Gp8O30daSWIUS702SycFReXk55eTkVFRXEx8f7MiYRpJyK3migGEHXwGAgbNQ0+yjEsTlhVEQIhcerqDzTwJ7vT6FpOopB4fvi07y8YR89U7rIWRlCtANNJouSkhLee+893n33XYxGI7feeitr166VTXmdlGvRO2zkVPS6ahIuvoyqsO5Oz81IjTnnw7+gqJLcPSVs2l1sP5HPxmBQ+MkN/bh6cKrPvw8hRMt5TBbTpk3j0KFD3HzzzSxbtoyLL77Yn3GJIOSp6B2e2IWqsiqvr89IjSG/sAJVO/cxTdN55aN89hw8RUxUqBTBhQgyHpPFtm3bCAsL44033uDNN9+036/rOoqisGPHDr8EKIKLLUFYivc53W6uzJ5dMTYe3epK07GPOGTllBDBxWOy+PTTT/0Zh2gnHIvcDYYQIifMh8Qhbp/nbtltRmoMD069jNw9JQBEhJnsy2ydXt+4cmrj7hKZnhIiCHhMFqmp8j+nOJdTkVuzWG8PGOKUHIBzEoprwnAcLQzpl2ivZbhOUdmmp6RJoRCB1ezVUELAuUVuU/f+1B3Ld0oOxh4Dzh6m1JhQmpqusiWPkQO7kbunhMozDewqOGlvH6LpSJNCIQJMkoVoEXdF7tr9H58dbahm1MM7z77AYf+FN44jjs93FvFqzn6n6SnNYUe4rJ4Swr8kWYgWc93ZHZF+CRW20QaKde8FAAqmzNEtLoIDXD04lbTEaHL3lLBxVzEuJQ1ZPSWEn0myEOctPC2TyAnzadi/Bb2mEvXo7sbNetYGhK1lG2n0TOlyzigDZPWUEP4UtMniwIEDrFixgsjISLKyshg1qvUfOsI/LPu3WKejFCMh/ccS4qFTbUvZRhn5hRVOTQodOa6estU1oiJCwGAgLT5SEogQ5ylok0VNTQ2PPPIIRqOR5cuXS7IIcq6tQJTo+DZJFDaO9Qxvq6ccO92Ctb4hhXEhzk/QJIvnnnuOzZs3228///zzFBYW8tBDDzF9+vQARiaaw90qKbDut2jYvwUF2myk4W31lCvXwrgkDiFaTtFdTzYKEnv37qVXr15ER0cza9Ysnn/++RZ/jVOnqtE8fYI0ITGxC2XNaF/hb8Eel+tGPLW0gJr1TzYWvmmcnhrTZknDkbvVU97YEkdtvTU+f9Y7gv1nGWwkrpZraWwGg0J8fLTHx4NmZOGqvr6e3/72t0RHRzN27NhAhyOawXWVlHVqynL2CbqK+bv/Ys7fREjm6DZNGo51jaiIEM7Umj3WN2xcp6w27S5mUJ8EWV0lhBs+H1lUV1eTnZ3NypUrSUtLA2D9+vU8++yzWCwWZsyYwV133eXLEESA1B3Lp/iV34Nqcfu4Ygol/vpZqLVVRKRfQnhaZpvHsO9wOXsOnuRMrZl3vjjY7JGH0ahwxUXJdO0STu/UGKpqGhjYJ4H+veLaPEYh2gOfJotdu3axYMECDh06xIYNG0hLS6O0tJQpU6awbt06QkNDyc7OZvny5T45tlWmofyjqbhsNQv7klpNBfuRSAooBkADN21B2jq2gqLKJldUedOW01bt8WcZSBJXy7Wraai1a9eycOFC5s+fb78vNzeX4cOHExsbC8D48ePZsGEDc+bM8WUoIkCMyRlENCYAW+Kw5G9q3Lhn28CnN6styPlyXVHlejjT7oMn3bZPt3E3bTV6UHd6pnSh8Lj1f0o5zEl0VD5NFkuWLDnnvhMnTpCYmGi/nZSUxO7du30ZhggStsSh9ht19hzv3H+DagYUlHDPf9W0taYOZ2pO4oCzezvcCWTxXAhf8HuBW9M0FEWx37adjyE6D9dCeP3m1aBr1Of+G2Ncmk9HF01xTCC2xAGe26g3paniec+ULrJZULQ7fk8WKSkpbN++3X67rKyMpKQkf4chgoReVw00TkWpZuq3v0PY0EkAbs/D8Bd3bdTdnSmuqjrNSSGqhtujZB1HHzKFJYKZ35PFyJEjWbFiBeXl5URERJCTk8PixYv9HYYIEvbNfKoZ0FGLvqWmxHoKH7rq9jyMQPA0beWYQKBloxB3u81BkogITn5PFsnJycydO5fp06djNpuZPHkygwYN8ncYIsAcN/BFTphP/fZ3UIu+xVrsdlgx5YfCd2u5SyDQuuK5I3dJRAEMRoVBvePtU1m2BCX1EOEPfkkWn332mdPtrKwssrKy/PHWIgi5O5o1bOgkao7vt27iUwzWJzZ2rm3ueRjBoqniObSuBqIDqqqfM5UF59ZDJIkIXwjaHdyi43J3NGvYkAlOhyrZnheomkVbc00g1wxL58vdRa2ewnLkrh4CkkRE25JkIfzOU9NB11VSYE0Yavkx9LrqDpM4APr3iiM+KuSc+12nsAD7B727LrtNaWkSkVVaoimSLITfuTua1ZV9qsp2ljcKDcbgKHb7kqc6CGDvsgtnE0hL6yHgOYkAKIq1wO6uNiKF9s5NkoUICHejCEf2qSo765RVw/4tGDrQ9FRLeEokjvWQ80ki0HiMuofaiI271VoyxdXxSbIQQcl1Sa2tj5S1VUjwLKkNBv5IIo48LfmFpqe4JKG0b5IsRFBxXVJrawui11WjV5/CvO9zp8K4JAvPWpJEbP8uq6wj56sjrU4mTU1x2XjqqSWJJbhJshBBw+2S2iETnB43799yTmFctExTdZHExC4MyUhwm0xau1rLVVM9tVzZRiopCdEkxoRJcgkgSRYiaLhbUus4cnAtjAPU573fKesXvtRUMmlqtVZbTHG5so9UvIxWbFynwc7Umt3GCpJYWkqShQganpbUOrIVxl1HIWEjp3a45bXBqKlEAk1PcbWmp1ZLNWcazKY59RVZAXaWJAsRNJqzpBas01H12985W/xWzdbOtWhS+A4wb8kE3PfU8pRY2nqk4qglicXTCrCIiFASY8I6xQhGkoUIKp6W1NoK32fPwDi7/wLF4NdDlMT5aU5CsbGNVGwfyoFKLk2tAPOmuSOY5vw7kKMcSRYi6DlOOYEtMQAoGBIuRImKtR7Z2k57SQnPbImluUeEuk6DefqL39ejFkctGcF401RDSdfRTGJilzZ5TxtJFiLoORW+0RobDeqgGNDKC+HUIVCMhPQfS0i/UTKq6MRaM2oBz3/Nt9UKsLbSVENJR5v3lPBEbKTbljKtJclCBD3XwretmO207wINJTpeEoVotuYmlqZWgHmrWfhzBOPIoursOXiSqwd1a7OvKclCBD1PhW9P+y4c6xtl24qpqzPLiEO0mrd9Kd6mx5ozgmnJv5vTUNJkVBjYJ6F532AzSbIQ7YK7wre7fRe1m16ytgTRrKtW6hufa87fRGTWQ5IwhN+1ZGqsOdw1lHT998iB3ejfK65ZdZ7mkmQh2rVz9l3YV0m5kFVSooNo6+TTXAa/v6MQPnBul1oXLtNU9Xnvo5YW+Ck6Ido/GVmIDsGpCK4YCMkcjSEhndBqa83CkJBuP0ipPvffTv2nZLQhhHeSLESH4KkInpjYheN789zs07Du/G7Yv4UISRZCeCXJQnQYnnZ/O+/TULFubQLQsezbSB0Q0m+U/bnSX0qIc0myEB2eqXt/GhQj6JZzH9RVzN/9F3P+JvttmZ4S4lxS4BYdnjE5g5DM0c53KkbOjjAATbXWOxzaowshzpJkITqFkH6jwBhqbRViDCHsqmmYLroaDCasSUMBg9H6uMFkbVgoK6aEsJNpKNEpeCqANySkW9ub6xpgwNjzUgDqt7wCmoUGxUjIoPEooZFSyxCdmiQL0Wm4K4DrddWArb25ilq4C3TV4Qkq5l0fAgoNRqlliM5LkoXo1Jz2Z6A4tD935VzLkFVTorORZCE6NcfpKfvBSrbEge6SPBTUiiIatr8NukaDwUhI5mhpUig6BUkWotNznJ4yxqU5NSa0FO9Db6jBvPsj0FXUgq1nX6hZ7MtubUnD9hoZdYiORpKFEA5c6xrG5Azq897HWtfwwJY0vvsCDErjqEPqG6JjkaWzQnhh6t4fDCE47cvAYF1q63SfZt2voVtbidTv/FCW34oOQ0YWQnjhWtfQ66rt01QN+7dg2feFm8K4jnpkB+qRHbL8VnQIkiyEaAZPfacikjOc92ooblZU2ZffYk8cZQaLnOAn2pWgThaqqjJz5kzmz5/PwIEDAx2OEG6FXnS1vTBuX1GlmgH93Cc3Jg7byRvmfRsx9rwUQ2QMhoR01JNHUECSiAg6QZ0sVq5cSVJSUqDDEMIrdyuqHFdReaSr1ukql7sdk4gkDhEMgiZZPPfcc2zevNl+e8qUKfTt2xdN83IyuRBBxjFxhPS6rPmJw5FDEjHv20hI/zFOIw9DQrq9diKJRPhD0CSL2bNnM3v2bPvt+++/n+joaPbu3UthYSFPPfVUAKMTonXcJQ4lPJrQ6mJqyk+e217EncY26u7YaiB6Q61MXwmfCppk4Wr58uUArFixgquvvjqwwQjRBhwTR2JiF8rKqlBLC2jYv8U+WlBPHkGvqWxeEgGn4jlIDUT4js+TRXV1NdnZ2axcuZK0tDQA1q9fz7PPPovFYmHGjBncddddHl9/3333+TpEIQLGmJzh9lhXWxLRaypRj+627t9wVzB31YwaiExnidZQdF1vxm9g6+zatYsFCxZw6NAhNmzYQFpaGqWlpUyZMoV169YRGhpKdnY2y5cvJyNDflGFcKfuWD61R77FGNGF+uPfW4/eCI2k8uv1jUmkDRiMxAzLwhAe5fQ+XQZeTXhaZtu8h2jXfDqyWLt2LQsXLmT+/Pn2+3Jzcxk+fDixsbEAjB8/ng0bNjBnzpw2f/9Tp6rRtJbnQtsUQbCRuFouWGNrUVxh3aFfdywAPYYD1uYjkckD7DWQFk9fudJUKr9855y7q/I+9Tgi8ecUV4f4OfpZS2MzGBTi46M9Pu7TZLFkyZJz7jtx4gSJiYn220lJSezevduXYQjRIbnbKHjeNRBXHqa1HMkUV+fg9wK3pmkoytl+OrquO90WQrSetxqI66iA0IiWLel1x0tCcV2xZUsithGRJJb2we/JIiUlhe3bt9tvl5WVycY7IXzMUxIB5yW9kUYzNWrI+Y9IHLms2GqKu8SinjxCWUQIDVHdZXVXAPk9WYwcOZIVK1ZQXl5OREQEOTk5LF682N9hCCEaOU5ndU3sgsVhntvTiKRNprjc8ZBYXGfem5r6ch2tODZ/lATTen5PFsnJycydO5fp06djNpuZPHkygwYN8ncYQohmaGpEYuPTKS5PmlFLceVp1NLUv2UEc5ZPl84GmqyG8o9gjQuCN7bOEpdaWuC0YstTzcKnieV8KMYmRzARjdNjrt9PMCSZdrUaSgjRuXlq7e6OY+3E04eyT6a+muJlBOPpo7i502TtaTQjyUIIERSaSiyufyV7q6U4jmBa3MSxLbRimszG21Jkd8nUXcIhcUibfkuSLIQQ7U5zaimOmhq1+K1431znkWhszPmbqItdZN3Q2UYkWQghOryWTIc58jaCcVezCFiScaRZqD3yLfSTZCGEED7nbQTjqYjc3Gkyn41mDCYi0i/xWFNpDUkWQgjRxlo6TeaoqUTTkppFeFomVW24sk2ShRBCBJHzSTS+ZAh0AEIIIYKfJAshhBBeSbIQQgjhlSQLIYQQXkmyEEII4VWHXg1lMLT+UKXzea0vSVwtF6yxSVwtI3G1XEti8/bcDt11VgghRNuQaSghhBBeSbIQQgjhlSQLIYQQXkmyEEII4ZUkCyGEEF5JshBCCOGVJAshhBBeSbIQQgjhlSQLIYQQXkmyEEII4VWH7g3VUuvXr+fZZ5/FYrEwY8YM7rrrroDF8vTTT/Of//wHgLFjxzJ//nwefvhhvvnmGyIiIgCYM2cO119/vd9jmzZtGuXl5ZhM1l+fRYsWUVhYGNBr98Ybb/DKK6/Ybx87doyJEydSW1sbsGtWXV1NdnY2K1euJC0tjdzcXJ544gnq6+u56aabmDt3LgDfffcdv/3tbzlz5gxDhw7lD3/4g/3a+iOu119/ndWrV6MoCgMGDOAPf/gDoaGhPP3007z11ltccMEFAPzoRz/y6c/VNS5Pv++erqMvOcZ28OBBli9fbn+stLSUSy+9lFWrVvn1mrn7jPDp75gudF3X9ePHj+vjxo3TKyoq9DNnzuhZWVn6gQMHAhLLli1b9B//+Md6fX293tDQoE+fPl3PycnRJ0yYoJeWlgYkJhtN0/SrrrpKN5vN9vuC6drpuq7v379fv/766/VTp04F7Jrt3LlTnzBhgn7JJZfoR48e1Wtra/WxY8fqhYWFutls1mfNmqV//vnnuq7r+i233KLn5eXpuq7rDz/8sP7qq6/6La7vv/9ev/766/Wqqipd0zR9/vz5+gsvvKDruq7//Oc/13fs2OGzWJqKS9d1tz+7pq6jP2OzOXHihH7ttdfqhw4d0nXdf9fM3WfE+vXrffo7JtNQjXJzcxk+fDixsbFERkYyfvx4NmzYEJBYEhMTeeihhwgNDSUkJIQ+ffpQXFxMcXExjzzyCFlZWfztb39D0zS/x/b9998DMGvWLG699VZeeeWVoLp2AI8++ihz584lIiIiYNds7dq1LFy4kKSkJAB2795Neno6PXr0wGQykZWVxYYNGygqKqKuro7BgwcDcPvtt/v02rnGFRoaysKFC4mOjkZRFPr160dxcTEAe/fuZdWqVWRlZbFo0SLq6+v9Fldtba3bn52n6+hLrrE5Wrp0KdnZ2fTq1Qvw3zVz9xlx+PBhn/6OSbJodOLECRITE+23k5KSKC0tDUgsffv2tf9gDx8+zH/+8x9Gjx7N8OHDefzxx1m7di3bt2/nzTff9Htsp0+fZsSIETzzzDO8+OKLrFmzhuLi4qC5drm5udTV1XHTTTdx8uTJgF2zJUuWMHToUPttT79frvcnJib69Nq5xpWamsqoUaMAKC8v59VXX+Xaa6/lzJkzXHTRRcybN4+3336b06dP8/e//91vcXn62QXi/1PX2GwOHz7M119/zfTp0wH8es3cfUYoiuLT3zFJFo00TUNRzvZz13Xd6XYgHDhwgFmzZjF//nx69+7NM888Q1JSEhEREUybNo0vvvjC7zENGTKEpUuX0qVLF+Li4pg8eTJ/+9vfgubarVmzhp/+9KcA9OjRIyiuGXj+/QqW37vS0lJmzJjBHXfcwZVXXklUVBT//Oc/6dOnDyaTiVmzZvn12nn62QXL9QJ4/fXXmTp1KqGhoQABuWaOnxE9evTw6e+YJItGKSkplJWV2W+XlZW5HXb6yzfffMPMmTN54IEHuO2228jPz+ejjz6yP67ruk+LoJ5s376drVu3OsWRmpoaFNeuoaGBbdu2cc011wAEzTUDz79frvefPHnS79fu4MGDZGdnc9ttt3HvvfcCUFxc7DQK8/e18/SzC6b/Tz/99FNuvvlm+21/XzPXzwhf/45Jsmg0cuRItm7dSnl5ObW1teTk5DBmzJiAxFJSUsK9997LsmXLuOWWWwDrL97jjz9OZWUlZrOZ119/PSAroaqqqli6dCn19fVUV1fz9ttv89RTTwXFtcvPz6dXr15ERkYCwXPNAC699FIOHTrEkSNHUFWV999/nzFjxpCamkpYWBjffPMNAO+++65fr111dTV33303v/rVr5g1a5b9/vDwcJ566imOHj2Kruu8+uqrfr12nn52nq6jv5WXl1NXV0ePHj3s9/nzmrn7jPD175gsnW2UnJzM3LlzmT59OmazmcmTJzNo0KCAxPKvf/2L+vp6nnzySft92dnZ/N///R9TpkzBYrFwww03MGHCBL/HNm7cOHbt2sWkSZPQNI2pU6dy+eWXB8W1O3r0KCkpKfbb/fv3D4prBhAWFsaTTz7JfffdR319PWPHjuXGG28EYNmyZSxYsIDq6mouueQS+xy4P7z55pucPHmSF154gRdeeAGAa665hl/96lcsWrSI//f//h9ms5nLLrvMPr3nD0397DxdR386duyY0+8aQFxcnN+umafPCF/+jsmxqkIIIbySaSghhBBeSbIQQgjhlSQLIYQQXkmyEEII4ZUkCyGEEF7J0lnR4Tz22GNs27YNsG44S01NJTw8HLDuurX925tPP/2UrVu3smDBAo/PKS0t5Ve/+hVr1qw5/8CBhx56iC1bthAXF+d0/x133NHmS2ofeugh+vbty913392mX1d0TLJ0VnRo11xzDX/9618ZOHBgoENpFn9+gEuyEC0hIwvR6QwYMIBrr72Wffv2sWzZMvLz83n99dcxm81UVlbys5/9jKlTp7Ju3To++ugjVq1axbRp0xg8eDA7duygpKSEESNGsHjxYoqLi8nKyiIvL48VK1ZQVFREWVkZRUVFJCcn89RTT5GUlMTu3bt59NFHMZvN9OzZk+LiYh566CGuvPLKFsV+zTXXcMstt7Blyxaqqqr46U9/ytSpUwHs51IYDAYSEhL43e9+x4UXXsiZM2d47LHH2LFjB0ajkeuuu85+zkFeXh7Z2dmcPHmSvn378qc//cm+A14IR5IsRKdjNpsZN24cf/3rX+0fpP/4xz/o2rUrO3fudPoAdlRYWMjq1aupqanhpptu4uuvvyYtLc3pOdu3b+edd94hOjqaX/ziF6xZs4Z77rmH++67j0WLFjF27Fi+/PJLZs6c6TG+F198kffee8/pvqVLl5KZmQlAZWUlb731FqWlpUyaNInLL7+c8vJynnvuOV5//XXi4uJYt24d9957Lx988AF/+9vfqK+v58MPP0RVVWbNmsXXX38NWKfRXn75ZUJDQ7nzzjvJyclh0qRJ53mFRUckyUJ0SraW01FRUaxcuZIvvviCw4cPs2/fPmpqaty+Zty4cRgMBqKjo0lPT6eysvKcZDFs2DCio6MBuPjii6msrGT//v2A9TQzgOHDh9O3b1+Psc2cObPJqaGpU6eiKAopKSmMHj2aLVu2cPLkSW6++WZ7reP2229nyZIlHDt2jNzcXB5++GGMRiNGo9F+ouDbb7/NddddZz+Jrm/fvpSXl3u9dqJzktVQolOyTbUcP36cSZMmUVRUxOWXX86vf/1rj69xLIwrioK7cp+75xiNxnOeazQaWx27YydTTdMwGAxuD3XSdR2LxYLJZHJqSV1SUkJFRcU5X8vT9yQESLIQndzevXuJi4vjnnvu4aqrruK///0vAKqqttl79OnTh9DQUDZu3AhYT83bv39/q89heOeddwBrS+wtW7YwZswYRo8ezYcffmgfGbz11lvExsaSnp7OiBEjePvtt9E0jYaGBn75y1/aV4sJ0VwyDSU6tVGjRvHmm29y4403oigKw4YNIy4ujiNHjrTZe5hMJlasWMHChQtZvnw5vXr1IiEhweMSXnc1i0svvZRFixYB1o6nt99+O3V1dSxYsIDevXvTu3dvZs6cyYwZM9A0jbi4OFatWoXBYGDOnDksWbKEiRMnoqoqN998MzfccAOfffZZm32PouOTpbNC+MEf//hH7r77bhISEigpKWHixIl88sknXHDBBS36Ou1tKbDoOGRkIYQfpKamMnPmTEwmE7qu89hjj7U4UQgRSDKyEEII4ZUUuIUQQnglyUIIIYRXkiyEEEJ4JclCCCGEV5IshBBCePX/Adx2BiDTBkmUAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "for name, model_name in (('BatchNorm', 'batchnorm_net'), ('Normal', 'net')):\n",
+ " model = eval(model_name)\n",
+ " model.load_state_dict(torch.load(f'{model_name}.pth'))\n",
+ " optimizer = torch.optim.SGD(model.parameters(), lr=0.1, momentum=0.9)\n",
+ " model.train()\n",
+ " losses = []\n",
+ " loader = torch.utils.data.DataLoader(xy_train, batch_size=1000, shuffle=True)\n",
+ " for epoch in range(200):\n",
+ " for x_batch, y_batch in loader:\n",
+ " y_pred = model(x_batch)\n",
+ " optimizer.zero_grad()\n",
+ " loss = loss_fn(y_pred, y_batch)\n",
+ " loss.backward()\n",
+ " optimizer.step()\n",
+ " losses.append(loss.data)\n",
+ " plt.plot(losses, '.', label=name)\n",
+ "plt.legend()\n",
+ "plt.xlabel('Training Epoch')\n",
+ "plt.ylabel('MSE Loss')\n",
+ "plt.yscale('log');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "BatchNorm is considered essential for many of the cutting edge architectures, but these are much deeper and wider than our simple problem. The lesson is that you should not assume that cutting edge techniques will benefit your (likely simpler) problem!"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.4"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/notebooks/NeuralNetworks.ipynb b/notebooks/NeuralNetworks.ipynb
index 2195a5e..4235ca5 100644
--- a/notebooks/NeuralNetworks.ipynb
+++ b/notebooks/NeuralNetworks.ipynb
@@ -37,7 +37,7 @@
"metadata": {},
"outputs": [],
"source": [
- "import tensorflow as tf"
+ "from mls import nn_unit_draw2d, nn_graph_draw2d"
]
},
{
@@ -46,7 +46,16 @@
"metadata": {},
"outputs": [],
"source": [
- "from mls import nn_unit_draw2d, nn_graph_draw2d, locate_data"
+ "import torch.nn"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import mls.torch"
]
},
{
@@ -60,87 +69,109 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "From a user's perspective, a neural network (NN) is a class of models $Y = N(X; \\Theta)$ that are:\n",
- " - Generic: they are not tailored to any particular application.\n",
- " - Flexible: they can accurately represent a wide range of non-linear $X\\rightarrow Y$ mappings with a suitable choice of parameters $\\Theta$.\n",
- " - Trainable: a robust optimization algorithm (backpropagation) can learn parameters $\\Theta$ given enough training data $D = (X,Y)$.\n",
- " - Modular: it is straightforward to scale the model complexity (and number of parameters) to match the available training data.\n",
- " - Efficient: most of the internal computations are linear and amenable to parallel computation and hardware acceleration.\n",
+ "From a user's perspective, a neural network (NN) is a class of models $X_\\text{out} = N(X_\\text{in}; \\Theta)$ that are:\n",
+ " - **Generic:** they are not tailored to any particular application.\n",
+ " - **Flexible:** they can accurately represent a wide range of non-linear $X_\\text{in}\\rightarrow X_\\text{out}$ mappings with a suitable choice of parameters $\\Theta$.\n",
+ " - **Trainable:** a robust optimization algorithm (backpropagation) can learn parameters $\\Theta$ given enough training data $D = (X_\\text{in},Y_\\text{tgt})$.\n",
+ " - **Modular:** it is straightforward to scale the model complexity (and number of parameters) to match the available training data.\n",
+ " - **Efficient:** most of the internal computations are linear and amenable to parallel computation and hardware acceleration.\n",
"\n",
- "The \"neural\" aspect of a neural network is tenuous. Their design mimics some aspects of biological neurons, but also differs in fundamental ways.\n",
+ "The \"neural\" aspect of a NN is tenuous. Their design mimics some aspects of biological neurons, but also differs in fundamental ways.\n",
+ "\n",
+ "In this notebook, we will explore NNs from several different perspectives:\n",
+ " - **Mathematical:** What equations describe a network?\n",
+ " - **Visual:** What does the network graph look like? How is the input space mapped through the network?\n",
+ " - **Data Flow:** What are the tensors that parameterize and flow (forwards and backwards) through a network?\n",
+ " - **Statistical:** What are typical distributions of tensor values?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Mathematical Perspective"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Building Block\n",
"\n",
"The internal structure of a NN is naturally described by a computation graph that connects simple building blocks. The basic building-block unit is a function of $D$ input features $x_i$,\n",
"$$\n",
- "f(\\mathbf{x}) = \\phi\\left(\\mathbf{w}\\cdot\\mathbf{x} + b\\right)\n",
+ "f(\\mathbf{x}) = \\phi\\left(\\mathbf{x}\\cdot\\mathbf{w} + b\\right)\n",
"$$\n",
- "with $D+1$ parameters consisting of **weights** $w_i$ and a **bias** $b$. Note that this building block is mostly linear, except for the **activation function** $\\phi(s)$. This is another application of the kernel trick that we met [earlier](Nonlinear.ipynb), and allows us to implicitly work in a higher dimensional space where non-linear structure of the training data is easier to model.\n",
+ "with $D+1$ parameters consisting of $D$ **weights** $w_i$ and a single **bias** $b$. The corresponding [graph](http://alexlenail.me/NN-SVG/index.html) (with $D=8$) is:\n",
+ "\n",
+ "\n",
+ "\n",
+ "where the left nodes correspond to the elements of the input $\\mathbf{x}$, the edges correspond to the elements of $\\mathbf{w}$ (thickness ~ strength, red/blue are pos/neg values), and the right node is the output value $f(\\mathbf{x})$. The recipe for obtaining the output value is then:\n",
+ " - propagate each input value $x_i$ with a strength $w_i$,\n",
+ " - sum the values $x_i w_i$,\n",
+ " - apply the activation $\\phi$.\n",
+ "\n",
+ "Note that this building block is mostly linear, except for the **activation function** $\\phi(s)$. This is an application of the kernel trick covered in the [Nonlinear notebook](Nonlinear.ipynb), and allows us to implicitly work in a higher dimensional space where non-linear structure in data is easier to model.\n",
"\n",
- "The building-block unit is straightfoward to implement:"
+ "The building-block equation is straightfoward to implement as code:"
]
},
{
"cell_type": "code",
- "execution_count": 4,
+ "execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def nn_unit(x, w, b, phi):\n",
- " return phi(np.dot(w, x) + b)"
+ " return phi(np.dot(x, w) + b)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "For example, with a 3D $\\mathbf{x}$, the weight vector $w$ should also be 3D:"
+ "For example, with a 3D input $\\mathbf{x}$, the weight vector $\\mathbf{w}$ should also be 3D:"
]
},
{
"cell_type": "code",
- "execution_count": 5,
+ "execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "-0.99505475368673046"
+ "-0.9640275800758169"
]
},
- "execution_count": 5,
+ "execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
- "x = [1, 0, -1]\n",
- "nn_unit(x, w=[1, 2, 3], b=-1, phi=np.tanh)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Activation Functions"
+ "nn_unit(x=[0, 1, -1], w=[1, 2, 3], b=-1, phi=np.tanh)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The activation function $\\phi$ argument $s$ is always a scalar and, by convention, activation functions are always defined in a standard form, without any parameters, since $\\mathbf{w}$ and $b$ already provide enough flexibility for scaling and applying an offset.\n",
+ "#### Activation Functions\n",
"\n",
- "Some common activations are defined below (using [lambda functions](https://docs.python.org/3/tutorial/controlflow.html#lambda-expressions)):"
+ "The activation function $\\phi$ argument $s$ is always a scalar and, by convention, activation functions are always defined in a standard form, without any parameters (since $\\mathbf{w}$ and $b$ already provide enough learning flexibility).\n",
+ "\n",
+ "Some popular activations are defined below (using [lambda functions](https://docs.python.org/3/tutorial/controlflow.html#lambda-expressions)). For the full list supported in PyTorch see [here](https://pytorch.org/docs/stable/nn.html#non-linear-activations-weighted-sum-nonlinearity)."
]
},
{
"cell_type": "code",
- "execution_count": 6,
+ "execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
- "linear = lambda s: s\n",
"relu = lambda s: np.maximum(0, s)\n",
- "elu = lambda s: s * (s >= 0) + np.expm1(s) * (s < 0) # expm1(s) = exp(s) - 1\n",
+ "elu = lambda s: np.maximum(0, s) + np.minimum(0, np.expm1(s)) # expm1(s) = exp(s) - 1\n",
"softplus = lambda s: np.log(1 + np.exp(s))\n",
"sigmoid = lambda s: 1 / (1 + np.exp(-s)) # also known as the \"logistic function\"\n",
"tanh = lambda s: np.tanh(s)\n",
@@ -151,19 +182,19 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "These activations divide naturally into to two categories depending on their asymptotic behavior as $s\\rightarrow +\\infty$:"
+ "These activations divide naturally into two categories depending on their asymptotic behavior as $s\\rightarrow +\\infty$:"
]
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -185,55 +216,16 @@
" ax.axhline(+1, c='gray', ls=':')\n",
" \n",
"_, ax = plt.subplots(1, 2, figsize=(12, 5))\n",
- "plot_activations(ax[0], 'linear,relu,elu,softplus')\n",
+ "plot_activations(ax[0], 'relu,elu,softplus')\n",
"plot_activations(ax[1], 'sigmoid,tanh,softsign')\n",
"plt.tight_layout()"
]
},
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
- "source": [
- "**EXERCISE:** For each activation function plotted above:\n",
- " - Which activations are asymptotically linear as $s\\rightarrow \\pm\\infty$?\n",
- " - Which activations are asymptotically constant as $s\\rightarrow \\pm\\infty$?\n",
- " - Which activations are differentiable for all $s$?\n",
- " - Which activations are better suited for classification or regression problems?"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
- "source": [
- "The table below summarizes the properties of each activation function:\n",
- "\n",
- "| Activation | Limit as $s\\rightarrow-\\infty$ | Limit as $s\\rightarrow+\\infty$ | Differentiable? |\n",
- "|-------------|------|------|\n",
- "| identity | linear | linear | Y |\n",
- "| relu | 0 | linear | N |\n",
- "| elu | -1 | linear | Y |\n",
- "| softplus | 0 | linear | Y |\n",
- "| sigmoid | 0 | +1 | Y |\n",
- "| tanh | -1 | +1 | Y |\n",
- "| softsign | -1 | +1 | Y |\n",
- "\n",
- "The activations that are bounded on both sides only have a narrow range near $s=0$ where they distinguish between different input values, and otherwise are essentially saturated. This is desirable for classification, where the aim is to place $s=0$ close to the \"decision boundary\".\n",
- "\n",
- "For a regression problem, the saturation property is undesirable since it limits the range over which a desired continuous transformation can be fit. Therefore the activations that are linear as $s\\rightarrow +\\infty$ are best suited to regression.\n",
- "\n",
- "---"
- ]
- },
{
"cell_type": "markdown",
"metadata": {},
"source": [
- ""
+ "Note that all activations saturate (at -1 or 0) for $s\\rightarrow -\\infty$, but differ in their behavior when $s\\rightarrow +\\infty$ (linear vs saturate at +1)."
]
},
{
@@ -243,7 +235,9 @@
"solution2_first": true
},
"source": [
- "**EXERCISE:** Identify which activation function was used to make each plot above, which shows $f(\\mathbf{x})$ for a 2D $\\mathbf{x}$ with the same $\\mathbf{w}$ and $b$. Red and blue indicate positive and negative values, respectively, with zero displayed as white."
+ "**DISCUSS:**\n",
+ " - Which activation would you expect to be the fastest to compute?\n",
+ " - Which activations are better suited for a binary classification problem?"
]
},
{
@@ -252,97 +246,38 @@
"solution2": "hidden"
},
"source": [
- "- (a) linear\n",
- "- (b) tanh\n",
- "- (c) relu\n",
- "- (d) softsign\n",
- "- (e) sigmoid\n",
- "- (f) elu\n",
+ "The `relu` activation is the fastest to compute since it does not involve any transcendental function calls (exp, log, ...).\n",
"\n",
- "To distinguish between (b) and (d), note that both go asymptotically to constant negative and positive values (so sigmoid is ruled out), but the white transition region is narrower for (d).\n",
- "\n",
- "To distinguish between (c) and (f), note that (c) goes asymptotically to zero (white) in the top-left corner, while (e) goes asymptotically to a constant negative value (blue).\n",
+ "The activations that are bounded on both sides only have a narrow range near $s=0$ where they distinguish between different input values, and otherwise are essentially saturated at one of two values. This is desirable for classification, where the aim is to place $s=0$ close to the \"decision boundary\" (by learning a suitable bias).\n",
"\n",
"---"
]
},
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
- "source": [
- "**EXERCISE:** Experiment with the following function to determine how the displayed arrow relates to the three model parameters $w_0, w_1, b$:\n",
- "```\n",
- "nn_unit_draw2d(w=[0, 2], b=-1, phi=tanh)\n",
- "```"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
- "source": [
- "The arrow has the direction and magnitude of the 2D vector $\\mathbf{w}$, with its origin at $\\mathbf{x} = -b \\mathbf{w}\\, / \\, |\\mathbf{w}|^2$ where $s = 0$. The line $s=0$ is perpendicular to the arrow."
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 8,
- "metadata": {},
- "outputs": [],
- "source": [
- "# Work on your solution here..."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Network Layers"
- ]
- },
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "We can build a multi-output **layer** function of $\\mathbf{x}$ by stacking our basic unit vertically,\n",
- "$$\n",
- "\\mathbf{f}(\\mathbf{x}) = \\begin{bmatrix}\n",
- "f_1(\\mathbf{x}) \\\\\n",
- "f_2(\\mathbf{x}) \\\\\n",
- "\\vdots\n",
- "\\end{bmatrix} \\; ,\n",
- "$$\n",
- "with\n",
- "$$\n",
- "f_k(\\mathbf{x}) = \\phi\\left( \\mathbf{w}_k\\cdot \\mathbf{x} + b_k \\right) \\; .\n",
- "$$\n",
- "Note that the outputs share the same activation $\\phi(s)$ but each have their own parameters $\\mathbf{w}_k$ and $b_k$. If we stack the parameters into a matrix,\n",
- "$$\n",
- "W = \\begin{bmatrix}\n",
- "\\mathbf{w}_1 \\\\\n",
- "\\mathbf{w}_2 \\\\\n",
- "\\vdots\n",
- "\\end{bmatrix} \\; ,\n",
- "$$\n",
- "and vector\n",
+ "#### Network Layer\n",
+ "\n",
+ "What happens if we replace the vectors $\\mathbf{x}$ and $\\mathbf{w}$ above with matrices?\n",
"$$\n",
- "\\mathbf{b} = \\begin{bmatrix}\n",
- "b_1 \\\\\n",
- "b_2 \\\\\n",
- "\\vdots\n",
- "\\end{bmatrix} \\; ,\n",
+ "F(X) = \\phi\\left( X W + \\mathbf{b}\\right)\n",
"$$\n",
- "then the resulting layer function is simply\n",
+ "If $X$ has shape $(N, D)$ and holds $N$ samples of $D$ features, then $W$ must have shape $(D, M)$ so $F(X)$ converts the $D$ input features into $M$ output features for each sample. We say that $F$ represents a linear network **layer** with $D$ input nodes and $M$ output nodes. Note that the bias is now a vector of $M$ bias values, one for each output value.\n",
+ "\n",
+ "We cannot really add a vector $\\mathbf{b}$ to the matrix $X W$ but we are using the \"broadcasting\" convention that this means add the same vector to each row (sample) of $X W$. We also cannot apply $\\phi(s)$ to a matrix, but we are using the \"elementwise\" convention that this means apply $\\phi$ separately to each element of the matrix.\n",
+ "\n",
+ "To connect this matrix version with our earlier vector version, notice that $F(X)$ transforms a single input sample $\\mathbf{x}_i$ (row of $X$) into $M$ different outputs, $f_m(\\mathbf{x}_i)$ each with their own weight vector and bias value:\n",
"$$\n",
- "\\mathbf{f}(\\mathbf{x}) = W\\mathbf{x} + \\mathbf{b} \\; .\n",
+ "f_m(\\mathbf{x}_i) = \\phi\\left(\\mathbf{x}_i\\cdot \\mathbf{w}_m + b_m\\right) \\; ,\n",
"$$\n",
- "Note that we are using boldface to indicate vectors, but the dimension $n_{out}$ of $\\mathbf{f}$ and $\\mathbf{b}$ is generally different than the dimension $n_{in}$ of $\\mathbf{x}$. The matrix $W$ with dimensions $n_{out} \\times n_{in}$ transforms between the input and output dimensions.\n",
+ "where $\\mathbf{w}_m$ is the $m$-th column of $W$ and $b_m$ is the $m$-th element of $\\mathbf{b}$.\n",
"\n",
- "The `nn_unit` function we defined above already implements a layer if we pass it a matrix $W$ and vector $\\mathbf{b}$. For example:"
+ "The corresponding graph (with $D=8$ and $M=4$) is:\n",
+ "\n",
+ "\n",
+ "\n",
+ "The `nn_unit` function we defined above already implements a layer if we pass it matrices $X$ and $W$ and a vector $\\mathbf{b}$. For example:"
]
},
{
@@ -353,7 +288,8 @@
{
"data": {
"text/plain": [
- "array([ 0, 2, -2])"
+ "array([[0.73105858, 0.5 , 0.81757448],\n",
+ " [0.5 , 0.88079708, 0.5 ]])"
]
},
"execution_count": 9,
@@ -362,64 +298,33 @@
}
],
"source": [
- "nn_unit(x=[-1, 1], w=[[1, 2], [-1, 0], [1, -1]], b=[-1, 1, 0], phi=linear)"
+ "nn_unit(x=[[1., 0.5], [-1, 1]], w=[[1, -1, 1], [2, 0, 1]], b=[-1, 1, 0], phi=sigmoid)"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
+ "metadata": {},
"source": [
- "**EXERCISE:** What is $n_{in}$ and $n_{out}$ for the example above?"
+ "A layer with $n_{in}$ inputs and $n_{out}$ outputs has a total of $(n_{in} + 1) n_{out}$ parameters. These can add up quickly when building useful networks!"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "The number of inputs equals the number of elements in $\\mathbf{x}$ and the number of columns in $W$, i.e., $n_{in} = 2$.\n",
- "\n",
- "The number of outputs equals the number of rows in $W$ and the number of elements in $\\mathbf{b}$, i.e., $n_{out} = 3$.\n",
+ "#### Network Graph\n",
"\n",
- "---"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
- "source": [
- "**EXERCISE:** How many parameters does a layer specified by $(n_{in}, n_{out})$ have?"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
- "source": [
- "The matrix $W$ has $n_{in}\\times n_{out}$ parameters and the offset $\\mathbf{b}$ adds another $n_{out}$ parameters, for a total of:\n",
+ "Finally, we can build a simple **fully connected graph** by stacking layers horizontally, which corresponds to nested calls of each layer's function. For example, with 3 layers computed by $F$, $G$, $H$ stacked (left to right), the overall graph computation is:\n",
"$$\n",
- "n_{param} = (n_{in} + 1)\\, n_{out} \\; .\n",
+ "N(X) = H\\left(G\\left(F(X)\\right)\\right) \\; ,\n",
"$$\n",
+ "with a corresponding graph:\n",
"\n",
- "---"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Finally, we can build a simple **feedfoward graph** by stacking layers horizontally, which corresponds to nested calls of each layer's function:\n",
- "$$\n",
- "N(\\mathbf{x}) = \\mathbf{h}\\left(\\mathbf{g}\\left(\\ldots \\mathbf{f}(\\mathbf{x})\\right)\\right)\n",
- "$$"
+ "\n",
+ "\n",
+ "Nodes between the input (leftmost) and output (rightmost) nodes are known as **hidden nodes**.\n",
+ "\n",
+ "The corresponding code for arbitrary layers is:"
]
},
{
@@ -428,17 +333,17 @@
"metadata": {},
"outputs": [],
"source": [
- "def nn_graph(x, *layers):\n",
+ "def nn_graph(X, *layers):\n",
" for W, b, phi in layers:\n",
- " x = nn_unit(x, W, b, phi)\n",
- " return x"
+ " X = nn_unit(X, W, b, phi)\n",
+ " return X"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "For example, here is a three-layer network. Note how the output dimension of one layer must match the input dimension of the next layer. Layers between the input and output layers are known as **hidden layers**."
+ "For example, here is a three-layer network with the same architecture as the graph above. Note how the output dimension of one layer must match the input dimension of the next layer."
]
},
{
@@ -449,7 +354,7 @@
{
"data": {
"text/plain": [
- "array([ 0.1530907])"
+ "array([1., 1.])"
]
},
"execution_count": 11,
@@ -458,33 +363,50 @@
}
],
"source": [
- "nn_graph([-1, 1],\n",
- " ([[2,-0.5],[0,-2]], [0, 0], tanh), # LYR1: n_in=2, n_out=2\n",
- " ([[+1,-1],[-1,+1],[0,1]], [-1,0,1], relu), # LYR2: n_in=2, n_out=3\n",
- " ([[1,2,3]], [0], linear) # LYR3: n_in=3, n_out=1\n",
+ "nn_graph([1, 2, 3, 4, 5, 6, 7, 8],\n",
+ " ([\n",
+ " [11, 12, 13, 14],\n",
+ " [21, 22, 23, 24],\n",
+ " [31, 32, 33, 34],\n",
+ " [41, 42, 43, 44],\n",
+ " [51, 52, 53, 54],\n",
+ " [61, 62, 63, 64],\n",
+ " [71, 72, 73, 74],\n",
+ " [81, 82, 83, 84],\n",
+ " ], [1, 2, 3, 4], tanh), # LYR1: n_in=8, n_out=4\n",
+ " ([\n",
+ " [11, 12, 13],\n",
+ " [21, 22, 23],\n",
+ " [31, 32, 33],\n",
+ " [41, 42, 43],\n",
+ " ], [1, 2, 3], relu), # LYR2: n_in=4, n_out=3\n",
+ " ([\n",
+ " [11, 12],\n",
+ " [21, 22],\n",
+ " [31, 32],\n",
+ " ], [1, 2], sigmoid) # LYR3: n_in=3, n_out=4\n",
")"
]
},
{
- "cell_type": "code",
- "execution_count": 12,
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
"source": [
- "nn_graph_draw2d(\n",
- " ([[2,-0.5],[0,-2]], [0, 0], tanh), # LYR1\n",
- ")"
+ "The weight and bias values are chosen to make the tensors easier to read, but would not make sense for a real network. As a result, the final output of `[1., 1.]` is not surprising given how the sigmoid activation saturates for input outside a narrow range."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Visual Perspective"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ ""
]
},
{
@@ -494,9 +416,11 @@
"solution2_first": true
},
"source": [
- "**EXERCISE:** The diagram above shows the outputs $(y_1, y_2)$ from a layer with $n_{in} = n_{out} = 2$ as a function of its inputs $(x_1, x_2)$.\n",
- " - Describe how the outputs cluster in 2D assuming that the inputs are uniformly distributed.\n",
- " - Suppose we add a second layer with $n_{in} = 2$ and a single $z$ output, $n_{out} = 1$, using `tanh` activation again. What $W$ and $\\mathbf{b}$ would \"select\" ($z \\simeq +1$) the upper right corner while \"rejecting\" ($z \\simeq -1$) the other three corners?"
+ "**EXERCISE:** Identify which activation function was used to make each plot above, which shows the building block \n",
+ "$$\n",
+ "f(\\mathbf{x}) = \\phi\\left(\\mathbf{x}\\cdot\\mathbf{w} + b\\right)\n",
+ "$$\n",
+ "for a 2D $\\mathbf{x}$ with the same $\\mathbf{w}$ and $b$ used in each plot. Red and blue indicate positive and negative values, respectively, with zero displayed as white. For calibration, (a) shows a \"linear\" activation which passes its input straight through."
]
},
{
@@ -505,27 +429,55 @@
"solution2": "hidden"
},
"source": [
- "Except for narrow transition regions (white), both outputs saturate at $\\pm 1$. If we overlay the two two plots, there are four quandrants in $(x_1, x_2)$ to consider, which each saturate to a single point in the $(y_1, y_2)$ plane:\n",
- " - upper right corner: $(y_1, y_2) \\simeq (+1, -1)$.\n",
- " - lower right corner: $(y_1, y_2) \\simeq (+1, +1)$.\n",
- " - lower left corner: $(y_1, y_2) \\simeq (-1, +1)$.\n",
- " - upper left corner: $(y_1, y_2) \\simeq (-1, -1)$.\n",
+ "- (a) linear\n",
+ "- (b) tanh\n",
+ "- (c) relu\n",
+ "- (d) softsign\n",
+ "- (e) sigmoid\n",
+ "- (f) elu\n",
+ "\n",
+ "To distinguish between (b) and (d), note that both go asymptotically to constant negative and positive values (so sigmoid is ruled out), but the white transition region is narrower for (d).\n",
+ "\n",
+ "To distinguish between (c) and (f), note that (c) goes asymptotically to zero (white) in the top-left corner, while (e) goes asymptotically to a constant negative value (blue).\n",
"\n",
- "Therefore the outputs cluster around these four points in the $(y_1, y_2)$ plane. To show this explicitly, generate some random $(x_1, x_2)$ points and plot their corresponding $(y_1, y_2)$ values:"
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden",
+ "solution2_first": true
+ },
+ "source": [
+ "**EXERCISE:** Experiment with the following function to determine how the displayed arrow relates to the three model parameters $w_0, w_1, b$:\n",
+ "```\n",
+ "nn_unit_draw2d(w=[0, 2], b=-1, phi=tanh)\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "solution2": "hidden"
+ },
+ "source": [
+ "The arrow has the direction and magnitude of the 2D vector $\\mathbf{w}$, with its origin at $\\mathbf{x} = -b \\mathbf{w}\\, / \\, |\\mathbf{w}|^2$ where $s = 0$. The line $s=0$ is perpendicular to the arrow."
]
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 12,
"metadata": {
+ "scrolled": true,
"solution2": "hidden"
},
"outputs": [
{
"data": {
- "image/png": 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YJZW1cRwXWfanIJLkD+09XCJBDSVvkK/0Q1NphuOE3Bwb2q2kN/WoNPoLF3Rcj65Ujq5krucDMBLlWylFPV4Y6/MdqQ25sDAjSxJyVydbnXI8ob+8Rvcxc2n/7h1EVBU5aJFMW0iyRHMsTDQSJB4P0dXtzw6iYa0iNuCGUIoAsaBKWoJwUCOgeGhhFdfxl/IjIQhoAYJBlUhQJRhQME0HSZKIhTVsxw9KVyR/VSwYlJEVueQrVs8UP1ADUXBCHu351JPSGKsPgKCyjMQ00bMw43lMW3gyob+8Rtfceay74TbImz9CAT82OhpUMWXfpNMcCxKQ8Bcv8d3FpjSHy5K7IZSiIssoqkRM0WhrCbOhK0NIVfBCiu9U7ElkLRtV9oPOJQnQNt0kVfFtivGw2mN/kqXhTQXrgZFENoyXcxqIanwABJVhJLOMnoUZSWLDBZeSW/ME7ZddB0X2QctxCKj+gpDjeuCAl494UVyPYEAhHNTKvvcNoRRlWepZCPFtSR5NTSE2bsTPwCHLRMMKQU31V0xtj81ag1i+PzeSvMllY7wY2IsZyJ9wtPvVMxPpA1DvDHdRbzizDK19HZ6i4ba0kvnCPmS+sE+ffSzLRZX9GG0kCSQXTwIk36lY8ipz7xtCKRaMuk2RIJGASjproaoy0bCKqvo+UK7jAR6uB1pAJhwKEgZMy8ZxfN8sRZHHnYEd+l/pG2i/8c5E+gDUK5Ve1JPX/ptp847Bisb58OFVeOH+nbItx8N1HGRFJqDKoMrEIwHsfJRSITfBSMNEe9MYSrHIqKuqCttt0UzW9chlLFQlH1upSoQDAWTZY3JTGPAXUGLh0LhTgr0ZbKWvQD07IY+ESnwAJmoi2kpRSZuu/P6/aJlzNMr779G98Dy80MD2QEnyQPYdvk3btykGwpbvAJ4PJChkQyqHhlCK0MuoK8ts3RZFdhy6MjZSPolDc1QjHBo/0+LhMpbRIvVGOR+AgVaty3VbmkhU0qYrv/sOLXOPRvnwA1IXfwP7a5cg95O4uGDSioVU/r0+BZ7UE7Fk2y7prI2s+F4jUgUmCON/6JCnYNQNB2RMyyGVMZFlhW3aomw3rZlYJIDl+EH0Zp2mgiqHWkW+VJtyolDGc+7EeqFSKeCUt9+iZdYMlA8/IPmtK0lf/A0kWaY5Fsx7fcgosh/V0hTRaI4FyeQcZFnuE8IpyfSE5soKwnm7QPEoIKApRMMBMimTdR1ZkKA5n/K/UUcGxSt9hQeq1v6EY8Vgrh4DfQDEqnVlqJRNV3n7LeT2j0lefT2ZhYtKtvW3MGPafr7UaKjUt7i4P1mSCWuKcN4u0N8oIJk2KfyZyJg0RTblSWxUfzZNVWiKBodMdTWeGcjVY7AQQ7FqXRkqtahnHjGDjS/8AXf74SVvMC2XUEAmmXFLfItlWUJVJLSgiqrIZC2X1qbyRooNMX3uL4OylU/zX8B16JNmvZ6zKguGRlMVYmGNpmiAWHhwR3uxal0ZykkBp/7lT8TPOhWyWX+/YSpEgJzplyjI5SwyOT+nYzioEY8ECAe1niTHlfAvbgyl2CsdfSpjsb4zTc60evK1FXIjFjMWqfwF9cl4z51YL4zWpqu++gea5xxNcMUytJdeHHZ/hcJiqZxfaCsU1HAcj0TaL6BWKBlSyIZUiZlfQyhF1/VKKrjZrp+t13Y8UplNF6+/L5wYGUwMapWwtxEZ6aKe+vJLNB83CymZIHHnPVgHHTzsvgpmsVDAT1IrSX4KssKCavvGtJ+FSpOIRgKEAuWbPhrCpijLEolkaZUyKf81k/Me8KmsTUs/dTbEyGBiMJHclsaakSzqaS8+T/P848HM0X3PfZjHzB52P8WLY4UktY4HXcksOdOPZrFdD8nxyJkejmsyKS5GioDv1GnbpU97UFNLXgDbclHkvl82MTKYOEwUt6VqUVjUG8imK6/7iOb5x4Fl0r34/hEpROi7OBYLa6zvTJPM2Lj4s0PH9ehI5EibJtGgVhG3qoYYKXqeX9uh2DqoqpsSxvq1lqE7beF6Epom+18eMTKYUNRjGrRGxt1sc5KXX4O77baYhxw+8t/3GtZ3JHMENRVNdbFs3xymKn44bzQUIJmxiObzaE742GfX9YhFAiTTJra3qUZxNKSxriOF40rEI2q+OL1L1nQIaDZbTimvwI1gfFJPadAaEfW1V7F33Q0UhexXzhj1cYrdfyzHIWM6SDIoyIVsYkRCKp7txz4XQvzKdatqiLmjLEs9qc7jYRVNkVEkiZzp0NYcYfPWMKqioMgSqux7yMfCQRLpkZXSFAgEgxN4fAUtRx5K9PJLyz9W0eKYNYCXiON6PQpQluiJaS+HhlCKxRdPVRQiIY1wSCMQVP2KbbaL47iENIWAtqnGiPBTFAgqR/CxR2k6YwFeKExu5tyyj1fs/uMOEI3klyIpKpyWN4mUQ2MoxV6+U5btsKEzzfrOFBu6suQs21+NliRSGZvudM4vMSr8FAWCihB85EHiXz0DLxan67FV2HvtXZHjFhbHPEkioMp4+dfVdT1/dhgpXRzzJKl25Qh0XZeBu4DPAjngNMMw3s5v2w24rWj3vYFZwCvAP4C/5ttXGIZx+2hlKKYpGqArmaMjZYILOc/DcX0bg5PzDbKe5yHJEp63KexP+CkKBOURWnIf8YvOw21tpWvpKt+eWCEKi2OaKrG+y8N0HCToCeuTSmLfIR4sf9GsnIWWWUDIMIx9dF3fG7gFmAlgGMafgAMBdF0/DlhrGMbTuq4fAjxsGMY5ZUndD5Lk2xVj+YBxXD/dkBpQeobXqaxNLF9RrxD2p4XqsAqVQDCOUP71Hu7kyXQ+9gTOzruMSR+RUIBm2yMW1uhIZsnlHHI4BEJ+1JoiyWgqTGoqrz4LlDd93g94GsAwjJeBPXrvoOt6FLgaODff9Hlgd13Xn9N1famu61uU0X8JBUdPVVHQFJm25iiBgFpib3ActyTsL2M6FfVTNG2HZMaiO2XSnco1ZIoygaA3qcuuouM3L42ZQiwQj2iksiZ4EoGAgiz7PqbZnAOSy5ZTYhXJelXOSLEJ6Cr629F1XTUMwy5q+wqw1DCM9fm/3wReNQzjV7quzwd+ABw7UAetrZGeRZGh6E7lCOWz4GjJHI7nMbk10sdR1/dr8keHmiIzbYvmYR1/MDzPozORA00hFCnEYLsEwgFUWaYlHqx6irK2tnhV+xN9T7C+b7gBMhm45hrapjbB1KYx77KjO8u2WxXqeTs9iypbTI6iqQqyJNHaVF4pAihPKXYDxXdC7qUQAeZTqvSeAdL5f68Arhmsg46O9GCbS4VJmT0+TemsRawphJWzewrbF9ZhZFkim9FQJWhtCtHenhh2HwPhF/EubZs8OUrHRl/+DRuSVU1R1tYWr8h5ib5F333wPCLfvYHozTfibLU1ygUX0G6PvbuzaTsk0lafFejJk6Ns2JAC/FFjJpUdlk1xsI9IOXPHF4EZAHmb4uvFG3VdbwaChmF8UNT8Y6CwVn8w8GoZ/ZdQvAyv5V10CsHjsZCKKsvI+RWseFitWPB4f2nLeiNcfwQNgecR/fbVvkLc5hN0rloDra1V6bpSGb+HQzkqfgVwqK7rvwMkYIGu6xcCbxuG8TjwKeC9Xr+5FPiJrutnAyngtDL6L6G4docfwrdJ3yuKTFjxl/Nj+drOlarrLJKXCiYEnkf0im8S+dGd2NvvQNfyJ3GnbVm17quZD3PUStEwDBc4q1fzm0Xb/4C/Ql38m3eBg0bb52D0zoLSFA3SsTFVEvYnKyArckWD/0XyUsFEILjs575C/JRO17IncDfbvKr9V7OMb0PEPhcort0hSRCPBrEdh4zpIuPRHAsSClQ27nUi1VwWTFxys48l9ZZB5rSFeG1tVe+/mmV8GyKipYAkSYRDKooEmaxF1rRRFZktJoXZamqceCRQ8SmsSF4qaFgcB+23v/H/rSikv3FFTRQilFfFcaQ0zJtaSFueSFt4SIRDGqGAn1MxnbV70pZXmmreLIGgatg28a+eQcuxxxB48vFaSwNULx9mwyjFWtb0FclLBQ2FZdF05qmEli/F+sJeWAccWGuJgE0hfwPVha6UL3BD2BRrXdO3v+SlhZslRoiCcUUuR9PpJxN8ejXmF/ej64GfQ6y+8o4W58Mci3K+jaEU68QtZqxvlkAwpmSzNC2YT/DX/w/zvw+ia8nDEInUWqqq0xBKUbjFCAQVwPOQLBvzfw6h674HIVx+coVKY9pOTyJZWZZotiofFNEQSlG4xQgEZeDla4eGw/7oUFEgWL2w1OHgeV6Pu11hVui4Hl2pHF3JHE3RQMVsig2x0CLcYgSC0SElummecxSBX6zxGyKRmivE4mxTyYyFaTtVXUhtCC3RX+btZMYkkTZJZSws2xFuMQJBL6TODpqPm0ngxecJPlV7t5titzrLdnFcD8t22didZWMyN6hbXSXzCzSEUgTf7UXCozOVI5WxsWwX1/MwHZdU3k9xrHwVBYLxhrRxA81zj0H7v1fJ/u+JJL53R61FGnA06DgeEn62/IGoZGmRhlGKxZm3A5pfzU9T/Iw4LbEgHtKY+ioKBOMFqb2dltlHob3+ZzJfPoXE7XfRUzO0RgyWbaqwQFrIlj8QlVpIbRilWJx5OxLSaIoFiYQ01KKbLVJ4CQQQu/wS1Df+RubU00l+9zaQa68GBnOrKyyQSjKDjgYrtZDaEKvPUD++igJBvZO8/rvYu36OzMJF/qpzHTDYKE/TZHK222/UWM/vK7iQWvtPRIUQvooCwcDIH7yP+uofAPAmTSZz9jl1oxBh8FGepiiohfR/A8hcyYXUhlGKwx06C19FwURDfvcdWmZOp/n42cj/WVtrcfplKLe6WCSA54Gmlr6/Y5FfoGGmz9XMtyYQjBeUt9+iee7RKP9ZS/JbV+JuMa3WIvVL7yTRvZEkiUnxIJGQ2pNfQJYlWmJBqHBUS+MoxSEuKogUXoKJhWK86SvEj9eRvOrb/pS5jilOEl08uHE9v4Z7IWql+B0ei/e5YZQilF7UYoovqkAwEVD+/jdajj0aef16EtffRPa03pVD6o/+sk3JskRQk6s6mGkopVh8UQv51mpxUQWCWuPF43iRKImbLyd70oJaizMiirNN1YKGUooFNFURqbsEExPHAUXB3XobNv729xMy9Ve5iFUHgaBBUH//Mq3774nyztt+g1CIo2LUI0Vd12XgLuCzQA44zTCMt4u2fx/YF0jkm2YCGvAQEAbWAgsMw0iPVgaBQOCjvfg8zfOPBzOH8uabONvvWGuRxi3ljBRnASHDMPbBL3J/S6/tuwOHG4ZxYP6/LuAK4CHDMPYHXgPOLKN/gUAA8Ktf0XzisWCZdC++H3PGUbWWaFxTjlLcD3gawDCMl4E9Chvyo8hPAvfouv6iruun9v4NsAY4pIz+BYIJT+BXv4CjjgLXpftnD2FOP7LWIo17ylloaQK6iv52dF1XDcOwgSjwA+BWQAGe1XX9j71+kwCaB+ugtTWCWsYqVFtbfNS/rQS17F/0PQH6zmTga+eCLCOtWkXzoYdWt/88jfaelaMUu4FiaeS8QgRIA7cX7IW6rj+Db3ss/CaT/3/nYB10dIze3NjWFqe9PTH0jmNELfsXfU+cvtX7H6VVcWjf+fNQg/7H63s2mCItZ/r8IjADQNf1vYHXi7Z9CnhB13VF13UNf9r8f8W/AaYDz5fRv0AwIQmsfhJ53UcA2LvuBgceWFuBGoxylOIKIKvr+u+A7wEX6Lp+oa7rxxiG8QbwIPAy8BywxDCMvwHXAfN0XX8R2AeofbpfgWAcEXzkQZoWzKfp1C/7BacEFWfU02fDMFygd+zQm0XbbwJu6vWbdcARo+1zOBRKIGqJLMmMRUCTCYhoFkEDELr/p8QuOg+vpYXk9TfVVeqvRqJhIlp6l0AsFL3JWQ6qbFe0BKJAUG1Ci+8h/o2LcCdPpnPp4zi7/FetRWpYGiaipZolEAWCahK+94e+QmybSueK1UIhjjENoRQHK3pTQNRnEYxX7E99GucT29G5ag3Op3eqtTgNT0NMn0V9FkHD4XlgmhAMYh1wEBtf/CNoWq2lqgsK6wau6xGM5DBtp6LrBg0xUhT1WQQNhecRvf4aWuYeDcn1n3qKAAAgAElEQVSk3yYUIp7n0ZXMkUhbWLbbs26QSFt0JXMVq+veEEpR1GcRNAyeR/TKbxG5/Rak9o+RE921lqhuqNa6QUMoxaGK3oCozyIYB7gusW9eTOTuO7A/+Sm6Hn+6bmuqVJtqrhs0hJbw67MMPgoU9VkEdY3rErv4fMKL78He6TN0rliNu9nmtZaqbhjJukG5NIRSBL8+S3/FsseiBKJAUGnUV/9A6MElWLvsSufyp/CmTq21SHVFNdcNGmL1GfoWvVFkCU2VRX0WwbjA/sJedP/0Iay998Fraa21OHWHLPsBGcPZr+y+yj5CnaGpCrGwRks8RCysCYUoqF8si/BdP/BdbwDziBlCIQ5ANdcNGmakKBCMK3I5mk4/heDTTyFl0qS/dkmtJaprqlnXveFGigJB3ZPN0rRgPsGnn8Lc/0DSZy2qtUTjgmqtG4iRokBQTdJpmk86gcBvn8X8n0Pouu9BCIdrLdW4oPe6get6aKpMU6SyZjKhFAWCamHbNM8/jsCLz5M7fDrdP14CwWCtpRp3aKrSowTHor67UIoCQbVQVcyDDsFrnUT33YshINzE6hGhFAWCsSaZ9AvTyzKZcy8g47ogC3N+vSLujEAwhkgbN9Ayawaxb168qXyAUIh1jbg7AsEYIbW30zLnaLS//Mn3RRQ1VcYFQikKBGOAvO4jWuYcifr3v5JZcBrJm28XI8RxgrhLAkGFkf+zluZZM1CNN0mf+VWSN94iFOI4QtwpgaDChB55EPWfb5M+90JS11wvqu6NM0a1+qzrugzcBXwWyAGnGYbxdtH2C4B5+T9XG4Zxta7rEvAh8Fa+/SXDML4xaskFgjolff5F2DvvgnnoEUIhjkNG65IzCwgZhrGPrut7A7cAMwF0Xd8emA/sBXjA87qurwDSwP8ZhnF0+WILBHXGP/5BaNkqsqedBZKEedj0WkskGCWjVYr7AU8DGIbxsq7rexRt+wA4wjAMB0DXdQ3IAp8HttR1/VkgA1xgGIYxaskHoFDURktkSWYsAppc0aI2Q/Xruh6yLNFsicqBEwXFeBOOO4b4Rx9h77En9m6711okQRmM1qbYBHQV/e3ouq4CGIZhGYaxXtd1Sdf1m4HXDMP4B/Af4AbDMA4CrgceKEfw3lSrqM1w++1K5ca0X0F9oPz9b7TMngEffUTi+puEQmwARjtS7AbiRX/LhmHYhT90XQ8BPwESwNn55j8CNoBhGC/our6lruuSYRgDao3W1gjqMEd5Hd1ZWoOlFc8mT45uElCSaG0KDetYI6G/fgu0ToqOWb9D0dYWH3on0Xd5vPYazD0KNmyAu+8mfuaZ1OrMJ8w1r0L/o1WKLwJHAz/P2xRfL2zIL6isAp4xDOM7Rb+5EtgA3KTr+meB9wdTiAAdHelhCWPaDom0VVLDYfLkKBs2pHr+dj2PTCpb0Wwa/fXbu/+x6Hco2tritLcnqtbfROxbefstWqYfjNTdReL2u2g688wJcd711Hc5/Q+mSEerFFcAh+q6/jtAAhboun4h8DagAAcAQV3XC9bmbwA3Ag/oun4k/ojxlFH23YeRFLWpqFKsUb+C2uNs+wnMAw7CPHw6uePmDf0DQUWohu1+VErRMAwXOKtX85tF/x5ovnjkaPobiuJiNZbjYFkuWjJHOmuhaTKaovTZr9L9VmI/Qf0jrV+PN2UKaBqJe38qXG6qhOd5dKdMbNfrGYg4rtdju2+KBpAqdC8awnlbliU8zyORypHM2FiOi+N5WI5LMmOTSPkLHpUoatO730ruJ6hvtOeeZdIXdiX42KN+g1CIVaM7ZeJ69JmZyZKE6/nbK0VDKMWAJtOVMnGB3vpHlsAFulJmRYra9O63WsV0BLUl8Otf0vyl45FsC6+5udbiTChM28EeYrZlux6WXZmpdOO8rUN9tMfgo+4X0xn8wJUqpiOoHYGnV9N08okgSXQtecSPVBFUjZHY7itBQyhF03JpjgSQJPB6XRfP9Wc5zZFAxS5aMdUqpiOoDYEnVtJ06pdAVel66DGsgw6utUgTjmrb7hsi87brekiSRFMkiJ0vaqPIEqosEwzKPb6OY7Hg0V8xHVmWaIkFQUS1jG88j/B9P8YLhel66DHsvfeptUQTElmWcIbx7lbKdt8QSrH4oqmqgqoqNEWDWFm7z35jRXExncLfgnGOJNG95GGUd9/B/q/P1lqaCUtAk8lZzqBT6Era7hti+iwWPASVJPTAz9Ce/TUAXiwuFGKNqbbtviG0hFjwEFSK0OJ7iF94DvGvnQu5XK3FEeSppu2+IZQiiAUPQfmE776D+Dcuwm2bStdDj4mazHVEwXbvF76XcT0X03LA81AUGcup3CJqQ9gUoe+ChyJLaKpMUJPFCFEwJOHv30rsuqtwNt+CruVP4uz4yVqLJOgHVZFJZ21AIqDJyLKMZbvkLAdVtisS2dIwI8UCmqoQC2u0xEPEwppQiIIhCf10sa8Qt9yKzpWrhUKsY6oR2dJwSlEgGCm5GUeTO/hQOletwd1+h1qLIxiAakW2NMz0eTzRO9NHtbKDC4rwPOR/f4i71dZ4U6fS/fCyWkskGIJqZaUSI8UqUqvs4IJeeB7Rb32d1v/ZF+Vvf621NIJhUq3IFqEUq0g1M30IBsB1iV10PpEf/wh3i2m4bVNrLZFgmFQrK5VQilWi2pk+BP3gOMTP/yrh++/D2mVXOpc/hTdVKMXxQrWCNIRSrBLVzvQh6IVtE190JqFHHsTa7XN0LXscb/LkWkslGAHVCtIQSrFKiCzdtUVu/xjtxeex9tiTrscex2udVGuRBKOgGkEaYvW5SlQ704egFHeLaXSuWoPX1oYXq231OcHoqUaQhhgpVgmRtKIGZLPELjwH+V/vAeBut71QiA3CWAZpiJFilfDtITaDDRZF0ooKkk7TfPIJBJ57FoDkrT+osUCC8YIYllQRkbSiSiSTNM8/jsBzz5I7fDrJG26utUSCcYQYKVaRgbJ0i6QVlUNKdNN8wrFor7xM7qiZdN+9GALiYyOiqIbPqJWirusycBfwWSAHnGYYxttF208HzsQvfH+dYRhP6ro+BXgICANrgQWGYaTLkH9c0jtLt6ByNJ1+CtorL5OdPZfEnfeCOrG/+wPVS65kVplGo5zp8ywgZBjGPsClwC2FDbqubw6cC+wLHA7coOt6ELgCeMgwjP2B1/CVpqDKmLZDMmPRnTJJZizMBnIYT138DTKnfIXEXT+e8AoRGjeKqvAMdyayFX+Gy1GK+wFPAxiG8TKwR9G2PYEXDcPIGYbRBbwN7Fr8G2ANcEgZ/QtGSKPGXkvr10N7Oz/60Y84+2c/4ckZR4MiRuKNGEVVjWe4nE9pE9BV9Lej67pqGIbdz7YE0NyrvdA2IK2tkZ5KfKOhra227he17L+/vju6s7QGtQF/I0sSrU2hMel7zPjoIzj2KB5IJjnr/fcBeOSRB/ne977H+eefXz05qL/73Z3KEYoMnT1cU2WaoqPPMl7N8+7vGZ48Odrz70o8w+UoxW6g+GrIeYXY37Y40FnUnilqG5COjtGbG9va4rS3J0b9+3KpZf/99W3aDom0NWRFtEwqW5a9s5rnLf9nLc1zjkL959v8abfPQV4pAlxwwQVs2NDNuedeUBVZ6u1+gz81Hk7AgCJL5NKjm0ZX87z7e4YnT46yYUOq5+/hPsODKfJyps8vAjMAdF3fG3i9aNsrwP66rod0XW8GdgL+WvwbYDrwfBn9C0ZAo8Veyx+8T8sxR6D+823S51zA3DvvJdirpsp1113JLbd8p0YS1p5qZZWpFtV6hstRiiuArK7rvwO+B1yg6/qFuq4fYxjGR8D38ZXeM8C3DMPIAtcB83RdfxHYB7ijLOkFw6aRYq/l996lZeZ0lH+9R+prl5C67Cp2/OSnePLJJwmHwyX7fuc73+aGG64Zt/bScmi0KKpqPcOjnj4bhuECZ/VqfrNo+73Avb1+sw44YrR9CkZPI8VeK+/8E3ndR6S+cTnpCy7uaT/kkEN4+OFlnHjicaTTm6ZU3/vezeRyJldeee2Ecj9ptCiqaj3D4+MTISibRho1WP9zCBuff6VEIRb44hf349FHVxDrFeN8113f57LLLplwI8ZGiqIS+RQFFaVauejGCuXvfyN++imQ9hffBiswtddee/PYY6tobm4pab/33ru5+OILcN3xYTetBL3rJReyyjRFNJpjwXE1chb5FAUVZ7yOGtTX/0zLnCMJrVpO4PnnhvWb3Xffg2XLHqe1tbWkfcmSn3DBBYtwnPHjm1cJClllmqKBcV36txrPsFCKE4jxOGpQ/++PNM85Gqmjg+7b78I8fPqwf7vrrruxYsVqpkyZUtL+8MMPsGjRmdi2PcAvBfVKNZ5hoRQnIONl1KC+8nuaj52JlOgmccePyJ3wpREf4zOf2ZkVK1YzdepmJe3Llv2chQtPw7KsSokrqCJjmU9RKEVBXSKtX0/zvDlImTSJH/2E3HHzRn0sXf80q1atZostppW0r1q1nNNPPwXTHJ/xvxOZeo19FgjGDG/KFFJXf5vuHy8hN3NO2cfbYYdPsmrVGrbeepuS9tWrn2DBgvlks9my+xCMPdWIfRZKUVBXqH9+DfK2vuyXT8E88uiKHfsTn9iOlStXs+22nyhp/3//7xecdNI80ukJl8Vu3FGNrD9CKQrqhsAv1tBy5KHEvj528cpbb70Nq1atYYcddixp/81vnuFLXzqeVCo1wC8FtaZaWX+EUhTUBYEnVtG0YD6oKrnZx45pX9OmbcnKlavR9U+XtL/wwm+ZN28OiUT3mPYvGB3jIfZZIKgIweVLaTrjFLxgiK5HlmPtf8CY97nZZpuzfPlT7LTTziXtv//9Sxx//Cy6ugZN4CSoAdWKfRZKUVBTgo88SPzs0/EiUbqWrsTa+4tV67utrY0VK55k1113K2l/9dU/cuyxM+no2Fg1WQRDU62sP0IpCmqK8sH7eE1NdC17HHuPPave/6RJk1m27HF23/3zJe1//vNrzJ59FOvXr6+6TIL+EbHPgglB+qJL6fjt77F3271mMjQ3t7B06Sr23HPvkva///2vzJ49g3Xr1tVIMkExIvZZ0LCE776D6FWXgeeBJOFuvkWtRSIeb+KRR5az7777l7QbxpvMnj2D//xnbY0kExQjYp8FDUf4+7cSu+KbBJcv9QtO1RGxWIwHH1zKAQccVNL+9ttvMXPmdD788IMaSSYoIGKfBY2D5xG5+UZi112Fs+VWdK5cjdfWVmup+hCJRLj//kc55JDDStrfe+9dZs2awb/+9V5tBBOUIGKfBeMbzyNyw7VEb7oeZ5tt6Vy1ZtB8iLUmFApx330PcsQRR5a0v//+v5g5czrvvPN2jSQTQGnd8u5UruJ1yxtWKZpW4xZ8H28EnnqC6G03Y2+3va8Qt9m21iINSTAYZPHiJRxzzOyS9rVr/83MmTP4xz+MGkk2calW3fKGU4qFC9eVyjVUwffxjDnjKFIXfp2uVWtwt9yq1uIMG03TuPvuxcyZc1xJ+7p1HzFr1gzeeOPvNZJsYlKNuGdoQKVYrQsnGALXRXvuWf/fskz60svqYpV5pKiqyp133sO8efNL2tevb2f27Bm8/vqfayTZxKJacc/QYEqxmhdOMAiOQ+yCRbQcN5Pg8qW1lqZsFEXhttvu5MtfXlDSvnHjRubMOZrXXnu1RpJVh2IbXq1MUdWsWz6qEqe6roeBB4CpQAI42TCM9l77fBfYL9/HPYZh3Kvr+iTgH8Bf87utMAzj9tEK35uRXLh6zTY97rFt4ovOJLTs51i7fQ7zoINrLVFFkGWZm2++jUBAY/Hie3rau7o6OfbYmfziF0+z44671FDCyuN5Ht0pE9v1et4rx/XIWQ6qbFe1pk8165aPdqS4EHjdMIz9gSXAZcUbdV0/CNjRMIx98BXjJbqutwK7Aw8bhnFg/r+KKURorILv4xLLghNP9BXiHnvS9djjeK2Tai1VxZAkieuv/y4LF55T0p5IdHPYYYfx0ksv1kiysaGeTFHVinuG0SvF/YCn8/9eAxzSa/tLwKn5f3uAAljA54HddV1/Ttf1pbquV9TIVM0LJ+iFadJ02smwdCnmPvvS9fMVeE3NtZaq4kiSxFVXXcf5519U0p5MJjnhhLn89re/qY1gFabeTFHVrFsuDbUaq+v6V4DeWT/XAYsMw3hD13UZeN8wjD7Lirqua/gjyb8YhnGDruszgZRhGL/SdX0+MNswjAGT59m246kjmOaalkNXKjfoFNr1PFpiQTF9rjS5HMyZA9ksPP44RKO1lmhM8TyPa6+9liuvvLKkPRQKsXLlSg4//PAaSVYZuvPeG0OhqTJN0WAVJIKO7uygilGWJFqbQsM93IBKYkibomEYi4HFxW26ri8H4vk/40Cf5HP56fJjwG8Mw7gh3/wMUMj5vgK4ZrC+OzpGnh6+K5nD9WDy5CgbNvTNoixLgDX2X7e2tjjt7Ykx76fmfefjlwG4+6e0TYnRnrQhXf1zr/Y1X7jwAizL47rrruppy2azHHPMMSxefD+Hj6AcazmMxXl3p0ycYZiZprbFqnbN+7NxTp4cpX19ElWWaIoGaM8NrzpjW1t8wG2jHWu+CMzI/3s68HzxxvxCzK+BnxiGcW3Rph8Dc/P/Phio+LLdeC34Pi5JJmk+bhaBJ1b6f4dCEA7XVqYqc+65F3LNNdeXtJmmyYIF83nyycdrJFX51KMpqlp1y0e1+gz8EPiZrusvACZwIoCu6zfhjw73BbYHTtd1/fT8bxYAlwI/0XX9bCAFnFaG7P1SuHAtsSDJ7iyu6yHLEkFNFlPmCiIlumk+4Vi0V17GndSKefSsWotUM846axGTJjWxaNGinjbbtjn99JO56657mT3G5RXGgoAmk7OcIU1R4aBKLl1d319NVXre5aZosOL9j0opGoaRBo7rp/3r+X++AnxvgJ8fNEB7RSkEjAsqj9TVSfO8OWiv/pHs7Lkk7rhn6B81OF/96lfJ5Vwuuui8nqgpx3FYuPA0TNPkf//3xBpLODL83IU2g82gK5G7sB5pKOdtwdgjdWyk+diZvkI8bh6Ju34Mmvj4AHz5y6dw++13lUzjXNfl3HMX8uCDS2oo2eiYqKao0U6fBROU6NWXo/35NTLzTyJ58+2gNN5IoRzmzZuPpmksWnQmjuMv6HmexwUXLMrbGituMRozCqYoy3bIWe6EMUUJpSgYEamrv42z46fInH0OyGKi0R9z5x5PIBDgzDNPxbbtnvZLLrkQyzI544yzayjdyCm24U0ExFMtGBL5P2tRX34JAK+5hcyi84RCHIKjj57F4sX3o/UyLVx22aX84Ae31UgqwXAQT7ZgUOQPP6Bl5nRa5s1BFlmnB6V34oSDDz2CJUseJhgsdW6+9toruOWW79RISsFQCKUoGBD5vXdpmTkd5b13SS9cNC6Sw9YCz/Po6M72m/x0j70O4P77HyXcy3/zO9/5NjfeeK3I71mHCKUo6BflnbdpmTUD5YP3SV16GelLvrUpckVQgp84wRswccLn9tiXhx9eRiRSGvp4663f5ZprrhCKsc4QSlHQB+Xtt2ieOQNl7b9JXnEt6Qu/PvSPJijDTZzwhT334dFHVxCLlYaX3Xnn7Vx++aVCMdYRQikK+uBFo3iRCMnrbvQXVQQDMpIcnnvttTePPbaK5uaWku333PNDvv71C3Hd8hOkCspHKEXBJvJ+de4W0+h49ndkxpnrSC0YaQ7P3Xffg2XLHqe1tbVk+89+tpgLLzynx7dRUDuEUhQAoL72Kq37fQHFeNNviERqK9A4YTSJE3bddTeWL3+KKVOmlOzz0EP3c845Z5X4Ngqqj1CKAtRXfk/zsTNR3n0H9Y2/1VqcccVok5/uvPMurFixmqlTNytpf+yxRzn77NOwrOGlwBJUHqEUJzja716g5fhZSOkUibsXk5s1d+gfCXrwEycMPlocKHGCrn+aVatWs8UW00raV65czumnn4JpisqTtUAoxQmM9tyzNJ8wFyyT7h8vEQpxlPiJE6RRJU7YYYdPsnLlarbaauuS9tWrn+DUU79ENpsdE5kFAzPhlGI9lGusC3I54heeA45D930PYB55dK0lGrdI+TT4o01+ut1227Nq1Rq23fYTJe2//OXTnHTSPDKZzBhKL+jNhFGKnufRlcz1G3XQlcxNPD+xYJCuB35O1/2PYh5WnbT5jU4hh2dTNEAsrI0oicLWW2/DqlVr2GGHHUvaf/ObZ5g//zhSqb6lNQRjw4RRivVUrrGWBH65BvnfHwLg7PQZrAapy9wITJu2JStXrkbXP13S/sILv+WEE+aSTNam5s9EY0IoxXor11grgsuX0nTyiTSdfKJfcEpQd2y22eYsX/4UO+20c0n7yy//juOOm0VXV58acYIKMzGU4giiDhqV4CMPEj/7dLxojOSNN4s45jqmra2NFSueZNdddytpf/XVP3DssTPp6NhYI8kmBhNCKY406qDRCD3wM+LnnY3X1ETXY6uw99iz1iIJhmDSpMksW/Y4u+/++ZL2P//5NebMOZoNGzbUSLLGZ0IoxXos11gtQkvuI37hOXiTJtG57Ens3XavtUiCYdLc3MLSpavYc8+9S9r/9rfXmT17Bh9//HGNJBuc8e7hMSGU4mijDhoB55Ofwtn2E3Qufwrnv3attTiCERKPN/HII8v54hf3K2l/8803mD17Bh999J8aSdaXRvHwGFWNlnyx+weAqUACONkwjPZe+zwOTAYsIGMYxnRd13cEfgp4wF+BrxqGMeaGvAlZrjGXg2AQa5992fi7V0XFvXFMLBbjoYce46STTuC3v322p/2tt/7BzJnTee653xAKtQxyhOowHA+P5lhwgF/XD6MdGi0EXjcMY39gCXBZP/vsCOxnGMaBhmEUHOFuBS7L/04CZo6y/xEzHso1Vmzace21tBxzOFJ3l/+3UIjjnkgkwgMPPMrBBx9a0v7uu+/w3//93/yrxqUiGsnDY7RKcT/g6fy/1wCHFG/UdX0zoAV4Qtf1F3RdPyq/6fPAcwP9biwplGscbdTBWFKxaYfnEbnhGrjiCuQNG5C6usZWcEFVCYVC/PSnD3HEEUeWtL/33nvMmjWDd975Z40kaywPjyGnz7qufwW4oFfzOqDwxiWA5l7bA8AtwO3AJOBFXddfASTDMLxBfjfm1GO5xopMOzyP6NWXE7nr+7DjjnQufRx3y63GUGpBLQgGgyxevISzzvoKTzyxsqf93//+kJkzp7N8+ZN88pOfqrpcjeThMaRSNAxjMbC4uE3X9eVAIa96HOjtUfoRcLdhGDbwsa7rrwE6UPyZ6O93JbS2RlBHocBMy6E7lUMLaciyRCigEtCqrwjb2uJD7mNaDmjKoF9Z1/NoiQUHVuaeB+efD3d9H3QdnnmGydOm9b9vFRjOeYu+y2P58qWcfPLJPPTQQz1t69Z9xOzZM/j1r3/NLrvsUjVZ2triBCM5LHvoUaCmyjRFK2tXrPR1H9VCC/AiMAN4BZgOPN9r+yHAIuBIXddjwC7AG8Bruq4faBjGb/K/e5ZB6OhIj0goz/PY0JUhnXOYNClCZ0cGSfZwHJAlaI4FCQYUAlUYKba1xWlvHzosK5mxhvUwJbuzxML92wbVv/yJljvvxPn0TnQ+9gRTpk0bVt9jwXDPW/RdPrfccieuK/HIIw/2tH388ccccMABLF36OP9VBW+DwnmbtkMibQ35cW+KaOTSlQupHe11H0yRjtam+ENgZ13XXwDOAK4G0HX9Jl3X9zQMYw3wlq7rLwO/BL5pGMZ64GvA1bquv4Q/xX5slP33wfM8PmxPkEjbuJ6H7bh0prK0b8zSnTaxHLenDGU9uQdUYtph77ob3fc/Qufyp/CmTq2UaII6R1EUbrvtTs4444yS9o0bNzJ37lH86U//VzVZyskrOVKKFyS7U7mK+0FK9aIc+qO9PTFs4dZ3pelO2xTuixpQ6ejcNNKUJIlISCMeVlEVpWfkOFZUeqSoqXLpSNG2Cd97N5kFp0EoNKq+xwLRd/WZMiXG6aefxeLF95S0+z6Oy/jCF/Yas76Lz9vzPLpTJrZbWu7V9TxUWaIpGihrQbO/40+eHKV9fXLEx29riw+4Y0N4K5u2Qzrn9ihE23axnVJ96jguruti5le/6sU9YFSO5ZZFfOFpxK78JtFbvjPGEgrqHUmSuP7677Jw4Tkl7YlEN8cfP5uXX/5d1eQYSw+PamW6agylaLlIRYrFtF3kXmcmyxKW7fRMQ+vFPWDE0w7TpOn0UwitWo659xdJn3dhFaQU1DuSJHHVVddx3nlfK2lPpZLMmzeH559/boBfVp5y8koORDX9IBtCKbquVxK3PNDIy/VK45vrxT1g2I7l2SxNC+YTXP0E5v4H0PXwMrxY7VZbBfWFJEl885tXcPHF3yhpT6fTzJ9/HM8886saSVY+1fSDbAilKMsSmib3hPENdvECRdPQekkAMaxph+vSfPIJBP/fLzAP/B+6Hvg5RKO1Fl1QZ0iSxMUXf4NvfevKkvZsNstJJ83jl79cUyPJyqOafpANoRQDmowiy6h5HRdQZdxeHwzX9QhrCqriD+XrMQHEoNMOWcY8+FByhx1B15JHIByunaCCuue8877G1VdfX9JmmiYLFnyJp556okZSjZ5qZrqqL60wSgp2uVgkgAzIioyqFE+nQVNkWuKbVmnHTQKIVAoc306SOeNsupc80me1WSDoj4ULF3HDDd8tabMsi9NOO4mVK5fVSKrRUc1MVw2hFMG3uymyRDQSIB5WaY0HUWQJkIiHVTafHEXKl6GslwQQQyF1ddJy7DHELjqPnqFv7xUkgWAQvvKVM7n55ttLVn4dx+Gss77Cz3/+cA0lGxnV9IMcbURL3VGwy1m2Q85yaYmH8DZrQpE8HE/qWYwJavK4GCFKHRtpPn422p9fw9lue1FTRcuNSYcAACAASURBVDBqTjppAYFAgPPOO7snaMF1Xc455yxs2+bEE79cYwmHR1M0MKQfZCVoGKVYoJDwoSUewspatRZnVEjr19Ny3EzUv71O5sQvk7zl+6DUvyIX1C/z5s1H0zQWLToTJ2+O8TyP88//KrlcjgULTquxhEPTe+Djul7PgmQlBzoNORczbT8hxHhMhy6tW0fLnCN9hXjKV0je+gOhEAUVYe7c47nnnvtQ1dKx0CWXXMg999xVI6lGTvGCZFN0kEQpo6ShlGIjpEMPLV+K+uYbpM88m+R3bhU2REFFOfroWSxefD9ar8TDl112KXfccXuNpKovGuqNa4SC95mzvkrXA4+SuuYGUYZUMCZMn34kS5Y8TDBYGvt/zTWXc+utN9VIqvqhYZTieE6HLr/3LuEf3uH/IUmYh00XClEwphx88GE88MDPCffyd73xxuu48cbr6n5WVciU05nIVtxE1jhKcZymQ1feeZuWWTOIXflN1JdfqrU4ggnEAQccxEMPPUYkUhoZdeutN3HttVfWpWKshomsYZTieEyHrvzDoHnmDJS1/yZ5xbXYe+9Ta5EEE4x9992fRx9dQaxXDP0dd9zG5ZdfWneKsRomsoZRioXwHstxSGctupM50lkLy3H63a/WKG/8nZZZM1DWfUTyuhvJLDqv1iIJJih77bU3S5eupKmptGTSPff8kEsuuRC3d8xsjaiWiaxhlKKmSnQmcyQzNpbj4ngeluOSzNgkUv6wul7ineX33qVl9gzk9e0kbvoemTPOrrVIggnO5z//BZYvf4LW1taS9p/+dDFf+9q5Pb6NtaRgIkvnTNo703y0McW6jSnSuU2jw0qYyGqvISpENucgy9B7IChLfrWsZNqsm3hnd+ttMA88mMRtd5I95Su1FkcgAGDXXXdj+fKnmDJlSkn7gw8u4dxzF2Lbdo0k87Fth7UbkrRvzJKzHGzHJZOzad+YZe2GZM+ItlwTWUMoxcKwOh4OIEng9fpQeC44QDhYW4UorV/v/0NRSPzwx2THSXiVYOKw8867sGLFaqZO3aykfenSRzj77NOwrNpFiX3ckcF1PRS1dOSjqH4Y70f5QnflmsgaQynmh9WSJNEUCRILq2iqjCxJqLJMLKzSEg1i2rUzGmsvvcikPT9L6MElfoNwuRHUKbr+aVatWs0WW5SWyV25cjmnn34Kpll9f99U1sTFY7BBoGW6pLO5sk1kDaEUew+XVVUhFg4QjwSIhrWe2tG1WnnWfvsbmk+Yi5TL4ja31EQGgWAk7LDDJ1m5cjVbbbV1Sfvq1U9w6qlfIpfLVVWeZNomFFBRBhlLKKpEJueUbSJrCKVYzQSUI0V75lc0f+l4sG2673sA86hjqi6DQDAatttue1atWsO2236ipP2Xv3yak06aRyaTqZostuPbxKLhABJ+HaZMziaVscjkbEzbRQJCgfJz3DSEUqxmAsqREPjFGppPmgdA15JH/EgVgWAcsfXW27Bq1Rq2336HkvZnn/01X/rS8aRSqarIoSqFd9cDScKxHbKmQypjkTUdnP/f3pnH2VHVif5b6917SdIJAoI6OEdGNnUeT9+AoKISUNk1igIBEVFGBZdRcfRlHvPADYUZ5YkGBRVFmeQhyKIDIgHkRVSeonDYZiAEAp2kl9t3q+3MH1W3U337bt19uxM69f188sntU1XnV79zqn71O+vP80HTYufNQdZsLhJCZIAfAMuBInC6lHI4dvxo4NPRnxpwGHAAkAFuBB6Njl0hpbxudre+g3ADSq9tf8OCjzwrRfrqtWCajH3/OtzDj1g42QkJPWTPPffihhtu4aST3s4jj8jJ9A0bfs3KlSu5+uofT5v83WvyWZOJiku55oX9i34YCz2dMnEdD8+H0YkaywpW58w6MFuzei7wJynl4cA1wOfiB6WUt0opj5RSHgncBHxRSvkQ8Grg0vqxXhjEOl1HxFsoNI3x71zD6A23JAYx4QXPihV7sH79zey//yunpG/YsIF3vvMExsfHei6zvr55vOSglIavfIrlGkqB1mC5NB1sQ6fistMmbx8G3Br9vgU4qtlJQoi9gfcBa6Kk1wDHCiHuEkKsFUL07PMy34G4uyX1kx9h3xZFTMtm8Q5+1YLITUiYb4aGhli//iYOPPDgKen337+Rk09+ByMj23sip9X6Zh2o1lzchlkknq8wNI1lAxkUUKrMbdqQ1mltoxDiLOD8huTngPOklA8JIXTgKSnl3k2uvZTQo/xu9Pdq4I9Syt8JIS4EBqWUn2gl2/N8Ze4Ck627Zu1aOPtsWLECHn8cstmdfUcJCT1nZGSEo48+mo0bN05JP+SQQ/jlL385bfL3jPMfrzYdI3h22wQ1x8dxfDQtNIamEQasS6d29ASmbYO9l/d1EtPSS+rYpyilXAusjacJIdYBdS+vAIw2XhcZy7cBF8aS10sp6+euB/6lneyRaDLmbBgaKjA8XJz19TMl/d3vUPiHCwiWLGH0h9ezJJtdUPlxFlr3RPbuJtvkRz9ax6pVJ/Hb3/6/ydQHHniAww9/PddffyPLly+fVc6O51Msu013vBoZKeN6AYGCfNokZegMDmYZGSlTKe+YO5kyDVIdWoZDQ60bqbNtPt8DHBP9XglsaHLOAcDDUsr4uP1tQohDo99vAn43S/ktmc991lqRufKboUFcNsTo+pvxDzxo3mUmJOxMCoU+rrtuPUccMbW//OGHH+KEE45hy5ZnZ5Vvuy0AU5YRBqDTwvOaoYK5r1ybrVG8AnilEOJu4ANEfYZCiC/FjJ4Anmi47lzg60KIO4G/Ay6apfxp1Pshto9XGS3WGCmG/28fr85rKILUj39I/nOfxl+xB6M33IK//9/Mi5yEhF2NfD7PzTffzOtf/4Yp6Y8++gjHHbeSzZufnnGe7RZY5NIWejTC0nIKng65zNxGoDv2Ke5MhoeLXd/caLHKWDkcqtd0Jt1qFYBuQH/WZqDQ+yDy2rZtFP7+HEoXXYL/sv0m03ev5lQie3eWvWnTMKtXn8rtt/9yyrF99tmXdetuYp999u06v4lKOLjSirFSlYmKhw5kM9as3/OhoULL9vWimLzteD4jJaflUL1SMFJyeheKQCn0pzeFP5cuZfza66cYxISE3Yl0Os33vnctRx997JT0p556kuOOW8kTTzzedV6dFmL0ZVPkMhb9eQtTD2eZmLpONm0wkEvRn0+1vLZbFoVRLFXccH+wdgRzH6oHQCly//R5Bo94HeYDv597fgkJi4BUKsXatdfw9rcfPyV98+anOf74Y3j00Ue6yidciNF6kETTNJbkUywfzDFQSDFYSDNQSLGkL92zqXeLwihWa/40D7ERTYdKbY6eolLk/vHTZL9xGcGKFQQr9phbfgkJiwjLsvjWt67ixBNPnpK+ZcuzHH/8MTz00F+6yqebhRj12M8DhTT5jNXT1WqLwii2nnE0y/OaEQTkP3UB2SuvwBOvYHT9zQQNWyslJOzumKbJN77xbd71rvdMSR8efp4TTzyWBx/8U8c8dvZCjEVhFNO20XbdM0CgIGPP8mvi++Qv+HsyV6/Fe+WBjK6/GbViRefrEhJ2QwzD4LLLvsn73nfGlPRt27Zx4onH8kCX3U51b7AvZ5PPWCiYXPY3n9PtFoVRzGWsSScw3KLcpVh2qNTcyS2H/Oj/2RSotm0b9l134h78KkbX3Yia44z9hNbE17su1DzThN6j6zpf/vLXOfPMs6ekj46OctJJ7+D++ze2uHI67cKajoxXez7dblEYRds0GMhZlCsuxbKL5yuCQOH5ivGSy/D2MoYGCm1WcWLV8uWMrv85Y9ffgBpcsgAa7X4sRDzfhIVF13UuvvgrfPCD501JLxbHOeWU47nvvnu7yqd9WFPVk7CmU/LtaW47EU3TyGcs8mkzHKqPQhFoKDJpE71hn7WOcWIdh/wnPobxxGMABPu+BJXsmj1vLEQ834SFR9M01qz5Zz760Y9PSS+VJli16kQ2bPh12+tbhTV1vXAvxfFSjbGSQ7nau+djURhFx/PxFRRyKQYKKfpyNv35FJm0GRrKrI0KwmhgjTSNE1ut0nfme8lccxXZr3xxgbTYfVmoeL4JOwdN0/jsZz/PJz/5mSnp5XKZU089hTvu+PeW1zYu+1NKMV6uUap4eEHYogiUYuu407MWxeIwirGCMw2DbNqiL5/CMnQsKxxc0XSaxoOdFie2UqH/tFWkfnErzpFvpPjVyxdEh92Zdutd6/Qinu+kvKTfcsHRNI1PfvIzXHjhF6akV6tVTjttFb/4xS1Nr2tc9lestFikoVTPWhSLwig2Fpzr+0yUHcZLDpWqNznY0mqm/OT1pRL9p56Cfecd1N78Vsau+TFkMvN56wl0H1BsroHHkn7Lnc9HP/px1qz531PSHMdh9er38vOf3zjt/HhcJdfzCVp8v+rn9aJFsSiMYr1AlFJsH6/wzNYJNg9P8PxImS3bS2zZWmJ4pILnNy+s+vV9Hzob++67qB3zdsa/+0NI936tdMJ0FirwWNJvuWtw7rnncfHFX56S5rou73//adxww7op6fFlf44bNF2kEajwPOhNi2Luoa92AWxLp+p4bNk+QbHk4wc+jg+VmkfN8cGArG1i6IRxoLP25ATQeECr8sc/RbBsGROXfBWsucd6SOgO29KpuX7bJvRcA4/V+y3byah7GQsay2c35ayzzsGybD7xiY9Opvm+zznnnInjOJxyShjwLR5/qVVLz9TCbrM6c21RLApP0TYNxss1xss+aIqa6xMoMC0d3dTQ0Kh5PlUvwPUDJmIbUtrjo9jbtgLgHXQIE1+9PDGIC0yn9a4w98BjC91vmdCZ005bzWWXfXPKCpUgCDjvvHO49trvT6bVl/01Uvf689mp8Zfm2qJYFJ6i44VGkCCg6niUqy6aYVBzPExNw9cUlqbjOWGsWC1j47ge2YkxXnzGKWiuy+hNv0im3OxE+nI24yVnmjcXKIWpa3MOPLZQ/ZYJM+Pd734vlmVx3nnnEAThB0kpxcc+9mEcx+Hggw/hvvt+w1FHvYW9XvwSto47aEqh6xq2pdOfT7Gt5k3m14tQxovDKLoBnuuj6xqur9A1HT8IcJwAdEiZJralo6IdewfyOtmxbbz4tJOx5MOMnXoGRTOD7fnYSdNpp1Bf7+p6PjU3CHdY1jVSlt6T5qyuhxP3uzlvIXA8Hyemp23pu+2zd/LJ78K2bT74wbPwvB0G7lOfOh9N01BK8ZWvXMLtt29gcNme8x7KeFE0n4NAUa76KMAwNAIUGjqGqWPoOo7ns228RrnqoGuQ2b6FPVcdhyUfZuT0s3luzZdwA5JRyCYs9PSVxvWuverf67RPH/TGy+hEMgLenHe84wTWrv0+VkPXVb08isVx1q69ckFCGS8Ko+gHAboejiDWHD+cx6SBQlF1fKqOh6cCam6AtnkT+7znBNL/8TjDZ32IJz/5P8Mg21UXPwiSUciIxfbyLkS/ZTcslhHw+YiFtHLlsVx99bXTDGOd/3vDOsZLNTRNI/B9SlWHUsXBcX0ytp7sp9hINm3iewGuF7BttMzm4SKbni0yWqzgewoU6Chyzz5N6vlneeL0D/PH938cN1D4SoUDMBWPYqmG6we7/eqJXenl7ZW3uhBeRjt6vXJnZwRpm++P5QEHHDTZt9jIc1ue5d5772a0WKVY9XHdcH8Dy9SpOEHPPtaLok/R0HVsU2eiXGXT8DhjRQdd1ylXXEwLbMOgr5CisLzAM3/zt9x6xXoyr9wfAvC9AMOsz3EKN/AuV1zStrnbTs3YVaavqGixf/xe/CCcXWDqHn05e0aewXz3W3ZiJiPg7e6nsVzqhmm25dLyfpv0e1aqXseP5VxCAvzlL3/GbzGfGOBrl17Cld9bF45GRx+4YsWhL5vqiXxYJEZR1zXGSzWefG6cvzw2QrXhQ/PS7U/zto3XctMZF5Jf3o9mLiH75AiZlE42bbGkL4NlGtimjmnqVF2f4e0ltps6rquwTI1CziaXsXbJzvDGh7ffnZvH0OnldSN5jutTyNo9GSSYjxew1WCGFf2rH6/UQiM534MdE5XQw/J9hWFoZNMm2dR077TTCHijF+96AeWqO6mn6/ss68+2vL7TIE/N9dg2WsXxw5F/O/poTFQcKo5Pf9am4riUKh7VIKA4XiWXCXWpOB6qGLa+KlWPAIWlGxhG2F9s6Po0mfH7OehVh/LylwsefVQ2vfeH/vxHHt+8jaeeKVKq+fQVbAbzNgftN0RfNtOTj/WiMIqe7/HbB/+T38qJacf22foka67/PIPlMe65904eOfQNZDIpMimHtGVQyNsUKx7L+lJkUxZVz8f3FJ4fMNCXRtdAVWG0VCOftVmSTy3I7r/d0MqTGivVGJuozdpjaPVSquirXI+YqJQ2zUPplQ7xF7CVDq1egE4eZiFrhVvM9cgD7UQQBGzeOsFo0Znc/d31YaLikTIdVizJous7erLajYDHvXilVDjn1tJxJ/cNVVQnfDRVZkl/Zooe3ZbL9mKN+mVeoHArAbrhYWgaKgh4bPMotmFgmBrpqP5LZRc3KLEkn2LED3B9hQJUEPbl24aBYWn0Z20KWZua62NoYcwkP2bgDTPFdetu4+c/+zd+dfst0zaLyOQH2Pjg82imjqbpOOMOm5+b4D+eKXLYQS9i3z0GOnranZiTURRCnACcIqV8T5NjZwPnAB5wkZTyJiHEMuBaIAM8A6yWUpbncg8Aw6MV7nl4ukF86fNPcNH1X6CvWuSbbzqHu172dxRqLinbpuoG6LqO6waQhu3FGlUnHMEu1TyWFdKTE0bDpUUa5aqLoWuTzbCdTTf9frO5z1bTVxoX49df3ri85T3SwfcVWiSzL9tch1ZNzU7lsnnrBPlMat6agI1s3jqBH0AmZVKuepPlZxoavlI8t73Mi5blgc4j4HEvfqLsEDBdT8PQqDjBND26KZeUbaKYGrmjHhGzWHEZLzv4vsI2pp5V88J3Z9PwBLmMRSZlogGl6J2q+T45y6RYcdAId7QaL9VQGtPqN5fN8c5Vp7Hq3acxUSzyk5/8gOt+/ANcbFa+7x/RrR1mS0NDN01qnmLjX54nlbJ58VChTW10ZtYDLUKIy4CLm+UhhNgD+AhhwPu3AhcLIVLA54FrpZSHA38gNJpz5sa7/zwtbb8tj/HPP/08+eoEl7/5w9xy8EocoFpR4WRvX+G6Pr6vUIGi5vgUow0klKfQm62x9MGphaPZO3sgZj6322o2faVxMX58vels5bXToe6tBn7zLd8az+smTwg3C3Fc1TbPXm5TVqo6OG54P6apozdxYGpeQLUWDlx1GgGv6+v6Pl6b6g+UmqJHt+VSqbpNV48AlGsulZqLpoPj78jL88MBF88PqFR9qlGAuHo6hDvfe35A4EPN9anUHDzVvn69QJHL5zn19A/wlW+tZ9VHLiff33zXexUoSlWXp58dxXHmFrVzLqPP9wLntjh2KHCPlLImpRwDHgMOAg4Dbo3OuQU4ag7yJ9m0ZWoh5KoTrFm3hqxT5utHf4RfHvjmyWO6GTYjdF3b8YB5AUqFle76inTGpNkglqaDGyhcT+305WDzuWyt2fSVxsX4jetN6/IqsdUFnWinQ90LbbXlW+N53eQJ4LoBhtG+XHq53G+i7GEYO+4nl7bD6WKx7E1DY6zidTUCXtfXdYOWxgtCHeJ6dFsuVafNx8IPqNvC+EfT9cIpcZ4XEKAmR4/r6fX79rzwGXJ9Ranio2vt61fXNBRQdQI2P1/CMg20ZjtCqLCP1jANnh2tzv+GEEKIs4DzG5JXSymvE0Ic2eKyPmAs9ncR6G9Ir6e1ZHAwi9lN30BDXZfSedYesRrPMLnrFa+fcsw0wLRM8lkby9TIZEyy0VQN3zfJZ1NkUubkwEojhh42ncN4s+130RmaoxvfDqtYbbtCY+nSHBDeb6f7bMayZXlGizW8IHyZrFJtckNPU9fpy6Vo9o4Fgepa73Y69HkB4+UauqZh6Bp9uenN2UApBvKpKZ7V4GC2bblYEzV8pVrmWWc25dZM74ofkPamvqRLyOJ5QdjkDBSarpFPm/zV3p1DXfS7PmOlGlbJwY8ZpsHBHQMrQQB9OSsa2Aj16PS81MulWvNIp5qbBcdXGKZDOm1imjrZ6LxCIY0fKEzLRYsm3/f3ZzAr7hSZuh7ujm/oGrqukU2H71e7ujB0DXuihmGbpFIW4NGohW2b2KaBpoNlGSxZmpvTu9fRKEop1wJrZ5jvOBC/qwIwGkuvxNJaMjLSXXdjKhXlGOOOV76x6bmaBpaho4IAx9XQAeUF+IRNxKrmYukaxWINz5nu9Ri6jnID8ALcams3fWiowPBwsav7nw0TlXCeWDOWLs2xbVsJAMvU295nJ+rTV4olh0CpsMlsGGxv4RHusaJ7vdvpAFAs1QgIdzZyq9Pl6RrhiEXE0FCBkZFy2zzLVRfXD1rmWWem5daqvsfHqlSaPEeNVHzVdbmNTdTCsosGVwYHs1PeFU0DvNDI1PXoVNb1clFKUSo5Tb3Q4kSNIAgYH/dIWwZu1aW/P0OxWMX1Fa7jhVPayooxI2w1xI2iqWv4joeh61iGTq3iRumt68IydZRS+I6HW3MJFHheEBpGpbBtMxrMURgaGDmT8bEqw0b7RnA7ozlfk7c3AocLIdJCiH5gf+BB4B7gmOiclcCGXgh7nRjq+tysZZJLGZiGTiFlkrJMLEvH1HWWFlIMFmyCQGEb058KFYCla1imNu/LwTqxUMvW6svulg6kSafMaU3mRnmZFl5GMzrpkM/aKAWWObUu2k227pSnZen4fvty6eVyv3zWxPfb15PvK/qy3ZdbX84mZevT8lVBaBALmbBc4np0Wy75tIXZopWdsQ0MrR5/2Z6MhZSxTTKWQX8hhQZk7FCmZeo7+oYDhWnq4TtkaOQyYVhiFdCyrOv3n7IN/nrfgbD7RoWTtS1DxzJ10lboDVtaqPvey3IzKstm9PTNFkJcIIR4h5RyC3A5odG7A7hQSlkFLgJWCSHuAV4H/Gsv5B73hgPpz3SOdT/UbzE4WMBKWZgGDPSnyWctClmbgb4USweyZDM2lqVNTuiOoxtgp4xdYmL3Qi9bmw95nfLUNI0lhRRL+tJdB0XvlKdlGNiW1rZbppfllkvb2Fb7crMtjUy6++lMmqaxrD/LQM4KDZMeBmnLZ0z6sjvKJa7HTMoln7XRYdrGC5mMRTZjkMvYGIYexkDK2RRyNrYdOhr5jEUmFTaLTSO8NwDD0DGNcKApZRlkUjamFr5Treqifv+2afCyFw0y1JcmZRtYph7Oc7QMTNPAMHR0Q6cva7PvngMzKsum5bsrr2EdHi52fXNbt27lou//kfFa8+PL8/DiPQbIZG0ypkk2Y5JNWaRtA9MyedFgmlzWjmJFK0pll0DTwnmKAaCpGc1TnO/mMzSfdwYwuCTL2Ei55/PtWsmLb++1fHnfjPTuJs9udaiXeac8m81TnK3MRtnNqM9TdFw1ZdDF9xW2pbHXsvyUeYrdUtezfzDLyPYdzedWesy0XDw/nFTt+grb1FjWn8Y09Cm61Jvunhfg+j5L+9JUaj5jJaftPEUF1IsiPk+x1f0rpdg6UuS2325ieKwW9Uvq2LZJqVwjnzV54yF78dI9B7sqy6GhQssKXjRGsc7Pf/Un7nxwmGoVfGB5H7z2oH0YGsiSStkYWuRRGhqagnTKoJBNYVvm5HKvevjEYjmcTmHHVrR060EshFGs07hsbe89+xntsj+2F/Liy+Rmq3cvlt41yu6UZy+X+3Wjd6XqMF4OYwaZhk5f1pyzVwMwMJjl6WfGutajF+VS16WvP834WHVSl/q1jutNrmgxdQMr8gj1aEVLPM+Z1IPr+Ty+aRt/fnKEibLHssE0ew5meMVLls2oLHcro1hnIY3SriY/kZ3I3h1kz0V+O6O4aHbJSUhISOgFiVFMSEhIiJEYxYSEhIQYiVFMSEhIiJEYxYSEhIQYiVFMSEhIiJEYxYSEhIQYiVFMSEhIiLFLT95OSEhIWGgSTzEhISEhRmIUExISEmIkRjEhISEhRmIUExISEmIkRjEhISEhRmIUExISEmLMLZjBLoIQ4gTgFCnle5ocO5swvrQHXCSlvEkIsQy4FsgAzxBGJ5zRrqxCiAzwA2A5YWTC06WUw7HjRwOfjv7UCMO7HhDJvBF4NDp2hZTyupnI7kZ+dM7PgKWAC1SklCuFEPsB3wMUYdycD0spZxQTskvZXybU2QSulFJ+WwixBHgkkguwXkp5WZcydeCbwMFADXi/lPKx2PF5qecuZZ8PrIr+vFlKuUYIoQFPs6OefyOl/Mw8yL6cML56fVPB4wCLedZbCHEI8PXY6a8FjieMzzSrOm5xD/8d+KKU8siG9LcTxpH3gKui56vjc9kNL3hPUQhxGXAxTXQRQuwBfITwoXkrcLEQIkVYmNdKKQ8H/kD4Ms2Uc4E/RXlcA3wuflBKeauU8sioMm8irNiHgFcDl9aPzcYgdiM/Yj/gsEjOyijtUuBz0XUa4UvUU9lCiDcA+0kpX0doGP9BCDFIqPuPYrrP5GU5HkhHeX4a+GpM3nzWcyfZLwNOBf4HYdyhtwghDgL+Cvh9TNcZG8ROsiNeDbw1JmeMBdBbSvlA7Pn+BrBOSnkrc6vjKQghPgV8B0g3pFvA14C3AEcAH4iegW7eiY684I0icC9hYTTjUOAeKWUtelgeAw4ifFFvjc65BThqFnK7ykMIsTfwPmBNlPQa4FghxF1CiLVCiNkGqG0rXwixAhgAbhRC3C2EeFtM/q873fdcZAO/Ac6MfivAIPRWXwO8WgjxayHET4UQL5qNTCnlfcDfxo7NZz13kr0JOFpK6UcetwVUCXXdSwjxKyHEzUII0WvZkSf3cuBKIcQ9QogzG69h/vSu30OO8Nn+SJQ0lzpu5HHgxCbp+wOPSSlH2q9JTQAAA1tJREFUpJQOcDdwOD3S+wXTfBZCnAWc35C8Wkp5nRDiyBaX9QFjsb+LQH9Dej1tprKf6zKPC4CvSSnrIbU2At+RUv5OCHEh8AXgE/Mg3yb8sl8GLAHuEUJsBDQppWpz3ZxlR5Ebq9EX/WrC5vOEEOJh4HdSyn8XQpwK/Atwcjv5MRrr0hdCmFJKr8mxWdXzbGRLKV1ga9Rc/jLwBynlI5HncrGU8qdCiMMIm3X/rZeygRxhGV5K+OH5lRDifhZA71jaWcBPpZRbo7/nUsdTkFL+mxDiJV3cV0/r+wVjFKWUa4G1M7xsHIh7YgVgNJZeiaXNSLYQYl0s76Z5RF/ytwEXxpLXSynr564nfGjaMkv5W4D/Ez3Azwsh/gAIIN5/OJ+6DwLXA3dKKS+Oku8A6n1b64F/aie7gca61GMvZ0/qeZayEUKkgasIX8QPRcn3E/Z3IaW8WwixlxAi/kHqhewycFm9v1AIcQdh/9+C6B1xKlON3lzqeLb31Vjf8bQZsxiaz+3YCBwuhEgLIfoJ3e4HgXuAY6JzVhLGp54p3eRxAPCwlLISS7tNCHFo9PtNwO9mIbsb+UcBPwEQQuSje3kI+EPMs54X3aMO79sJO8D/V+zQd4CTot8z1X1SphDitcCfYsfms57byo48xBuA/y+lPEdK6UeHvgB8LDrnYOCpWRjEtrKBvwbuFkIYkVd+GPB7FkDvKK0fSEkpN8WS51LH3fIQ8HIhxBIhhA28nrDLpid6v2A8xZkghLiAsM/hZ9Ho3AbCD8CFUsqqEOIi4OpoxHIrMG3UuguuiPK4G3DqeQghvgRcL6XcSOiZPdFw3bnAvwohHEJv7gOzkN2N/FuEEG8VQtxH6B1+Vkq5VQjxceDb0cP0EKE311PZhAMeLwPOjsoYYDVhZ/1VQogPASXg/TOQuR54sxDiXsIBotULVM9tZRM2W48AUkKI+mDWZ4BLgB8IIY4l9BjP6LXsSO8fAvcR9tleI6X880LoLaX8GaFR/s+Ga+ZSx20RQrwHyEspr4zu4zbC+r5KSrlZCNH0uZwpyS45CQkJCTEWe/M5ISEhYUYkRjEhISEhRmIUExISEmIkRjEhISEhRmIUExISEmIkRjEhISEhRmIUExISEmIkRjEhISEhxn8BNiGk0/6KFDAAAAAASUVORK5CYII=\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -533,42 +485,28 @@
}
],
"source": [
- "gen = np.random.RandomState(seed=123)\n",
- "X = gen.uniform(-3, +3, (250, 2))\n",
- "LYR1 = ([[2,-0.5],[0,-2]], [0, 0], tanh)\n",
- "Y = np.array([nn_graph(x, LYR1) for x in X])\n",
- "\n",
- "fig = plt.figure(figsize=(5, 5))\n",
- "plt.scatter(Y[:, 0], Y[:, 1], s=100, alpha=0.1)\n",
- "plt.plot([-1, 1], [-1, 1], 'r--')\n",
- "plt.annotate('', xy=[1,-1], xytext=[0,0], arrowprops=dict(arrowstyle='->', lw=4));"
+ "nn_unit_draw2d(w=[2, 1], b=+1, phi=tanh)"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "To select only the upper right corner with a second single-output layer, we need $W$ to point towards $(y_1, y_2) = (+1, -1)$, for example:\n",
- "$$\n",
- "W = \\begin{bmatrix} +1\\\\ -1\\end{bmatrix} \\; .\n",
- "$$\n",
- "If we use $\\mathbf{b} = [0]$, this would give $s \\simeq 0$ (and therefore $z \\simeq 0$) for both $(y_1, y_2) \\simeq (+1, -1)$ and $(y_1, y_2) \\simeq (-1, -1)$, instead of the desired $z \\simeq -1$. However, adjusting $b$ slightly offsets $\\phi(s)$ and gives the desired result:"
+ "Study the plots below which show the hidden (left) and output (right) node values for a network with 2 + 2 + 1 nodes. Each graph shows the node value as a function of the 2D input value.\n",
+ "\n",
+ "Note how the hidden nodes divide the input space into two halves, with a dividing line determined by their $\\mathbf{w}$ and $b$ values. The output layer then mixes these halves and can therefore \"select\" any of the four quadrants with an appropriate choice of its $\\mathbf{w}$ and $b$."
]
},
{
"cell_type": "code",
- "execution_count": 14,
- "metadata": {
- "solution2": "hidden"
- },
+ "execution_count": 13,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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cN21c05b0AEt8uUCdUcxs+yk0qi9h4dg9WDz5MKonH8LM9p/OUGocQjD54E0064dwdPfHIHgdY2uvDY8aXXM5tlzwhxibvspwjfaY2fpjcNwJHH35Y2FqcRK1uccBwTC25pJMT86JdVdD8Aaqs4/KbQHzmTw5S5UJTKw7DyePfD/05CQAiANQwuE60gfQczlc6qPkspgn53t+9Q/xW3/wUWzfvB4A4MIvtCdnElbtDQ5uaRznXvufMX/sKex7+nM4uufbOLr7X3Hedb8Ot5QOXQnBwLkvH6yBxbk9eOJbHwTzq9h05hsBAKNT23Dedb+Gytj68DzOfRzbe2+0btcGW8/9Ybilcbz86J2Zxxzf/wCE8LFu27WpfYqzNu58Hbhfw7G99xuvoSfNeOVxrN10IY7t+57cpzKtISCED4LgEf7NYiUM7/qVP8L7f+8vsHnL5uC8jAmmiqyEoc7BeHK268CQB1mEOtvwcffB4zhSb8bKsFrBhjpzYnTNZRhdcwVO7P8MqDOC8bXXY3TKrNL2fP9dqW1eZSvWnyGTaMJt5Y1d3w9BRMiHX/hDzB/5CiY33AxC4nOZZl0mnbjlaOAna/5KI5tix4KQUPSZPDlLI9NYOP5M5CRBgGfu/wSeuf8TqfucXLsJv/XR74Z1e6fv3AWXLMIlsj0JEdx6clqE2LDjNdhw+k14/sE/heuNYfOu241kAgD3fPKm1Lax6TNx0Y2/g/XbzUlkAPD8A3+CxbndOOfqX851T643iu0XvQ3PP/BnOPzSN7Hh9NekjlFqcGRyS+Z1Ric3h8eqOjwg25OzMjaD2cNPhTWxAPD4dz6Ox7/z8dS1J9duwn/9yHdDT84zzjwLZacGlzfkZzBMMGOenJwNpSfnfJDI8qrpcWwdLbe9joIlvg6wdts7sO+JX4HgBNNbfyLzuI273g9KK3IN7+BnwRrHsP6M96A0sr2j95MzKv0fnKSIbWz6CoyuuQzH930ao2suBXXi//hqcFGa/qeOwidOcGyihCHDkzNUhEEJAwCcftHtuPj6nwnW+OT6w9gIMFLx0i4tQfkCAFDBrCenRQznXvMr+M7fvwU+ITj7ql/KPO7SWz4CxxuF31jAC9/7GGoLB3HRa38bE2t3ZZ7zwvf+Ai99/69x+iveERKq4AxCG2eE0NQ4m970KqzZdAn2PfWPWLPxYtBUQpk8nxjGmQJ1Wv/cJj05o+3BPgBnvfJNuOS1PxsuI3gOQaUMVMqeoW6PZU4wU56cgeLrtydnO/QaFj1ab+LCqTHsmugsR8ISXwdwvWmUKltB3YlU8oqO0siOcH957Czsf+rXcei538Xmc38HjjeV+/0OPvNbqJ96Jnw9PvMarNvxc7E1OACY2fZO7H38l3Fsz8ex/vS42vTKMqW3WT8Kr7LR6NLCAqXnldfFZ6IZnpz1xcOojG0I1xgAYHR8Bht3XBwrWJ8ck01mlXOEXkRLgwFJBbeenBYxlEfXY3z6THiVNankFR0TM+eE+9dsuAj3/dOP46EvvQdX/eCnUB6diR0rBMfT9/4B9jzxt9h2/lux64r3hvseuOtnMXvokfD15rPvwAXXfyA6ORgP2y98Ox7/5m9g92OfwukXvyN2/ZEJqeZqCwcwqqk+vW5vUanCidNi52Z5clbnD2F0YmM0JgkwOrEOm8+4OOzAUPKAsYrswOA6PO7S0mqCmYysCDEQT868fp2tYCLHJuc4UG3gjBzreSZY4hswqFPBuu0/g4PP/jcc2/PX2LDzve1PCrBux8+Bs1r42nHNPwJuaS3Wbnkbju35K5w6EZVKUEowOnUxQFycOn4/RqcuMJ4/d/Q+EFrC+DoZho0KatOenKyxgPljz2DrObeFBevRIntOT074oEIOSOURaD05LXqB443gvOt+HQ/e9XN4+t7/gVfc9LvhPsEZHv3mf8GhF+7GGZf8DM669Odj557/6g/Ab0YJJ6XKtPE9SpU12HLuD2H3Y5/CiQMPxvbNbL0ahLo49OLXsXbzZalzCSU49MI3QJ0yZrZdqbaG+5OenH59DicOPYmdr7gjnHACKhM0vydn1gQz5ckZKr7+eXK2Q7dqjwuBew6fRMkh2DZa7squ0Sa3LAEqE+dhdM1VWJy9D7X5J3Of51U2ozy2M3y45fWZ/8iTG38A5fGzcWzvp2LbHW8CazbejJOH7kZt/mkAcbVXnX0Uswe/hrVbb4XrjaWyPpOenLsf+yQ4a2D7hW8OQ5/yOOT25JTZZSoEw6wnp0VfsPa0S7HxjNfj0ItfwYkDD4Xbn77vQzj0wt0456pfSpEeAIytOR1T688PH7oiSw63Dae/BuPTZ2Lvk5+NbS9V1mDb+T+CPY//HU4ckAkpupA7tvd+7Hvq89hx0VvhlcYjF6UMJ5en7vtLcNbArkvfGnpyqvvptAMDYJpgxkuFIHjfPTn7ofZM+O7xefhC4Np1U117FFvFF6CxuBsnD38xtX1s+mq43pqerz+95W1YPPkgju+9E6ed+8HUGkKvIIRg/envwt7HpSuGzl8z238cjeo+7H3iN7Fm0y0YW/tKEAKcOvEwTuy/C+NrL8GmXT+lXwwCHAsnngiL1FnzJGYPfgf7nv4cdr7yJ7B+2yVh6QIA1BaO4vDu78EL6olKHjBbFii7HOvXTWPr1tNiBrlUNOVbcZ4oYciv9sKHyZ7Mqr1CYv7YM3j5sU+ltm/aeTPKo+t6vv6uK34RR3bfg6fv+wNc+YOfxNyRJ7Dnib/FzNZrMbnhIswefjQ8lhAHU+vP7/g9dlz8k3jinv8W20YoxdlXvhenZl/CA3f9PLZf+Das33YVIASO7r0XLz/6aazbdhXOuToe8RGcYfbg94NQpkCzOouDL3wDzz/89zjvqndi445XxdoRLc4fwYGXHoLnAK4rH6NlAc8RmJlZi21bN8cmmNQwwTR6ciqi65MnZzt0q/Z8LlDnHK/dsAZOD8b8lvgC1E89jfqpp1Pby2Nn9YX4vPIGTK6/GXOH78LCsX/FxLrX9HzNJEojW7HmtDswu/8fwm2yPKGMLef/Ok4e+hrmjnwDJw99GQBQGd+Bzee8G9NbXg9KHRBK4bgOKCXgfhVPfPPd6ioojUxjfHonLn3j/8D2828JTKilGTUhwHMPfwHPPfwF43297ta34j2/9F+irs+sCuLLEC5ljVgJgypfEPV6rIQhWb4QljAE5QvqWZUwKLJjTR4rYUiWLCRJLvk67xqgRT7MHnoYs4ceTm2f2nBRX4hvZGILtp3/Vrz86J3Y/8wXwlq9Y3u/jWN7vx071i2N47U/eU/mtbJ+V0fGT8Oms96AA8/+c2y7443g0ls+jL1P/SP2PfU57H3i7wEAEzNn4YLrfw3bzv9BEEK1DusAay7inr95u3pHVMZmMLnuTFz3lj/CzotuDdUeoVIcPvPQF/DMQ+Zx9tpb3o7/+H//RvsJpqkDg+DZai8sZ2jfU6/fak+/ztF6E2MuxfXre/89JiKrAAzAtbdn/6ewWHrkbTSbNKM2dWBQrYeSHRgIpXA9N92BwXNQrnipDgylEsX4uJvqwFApCUyONI0GueONE8YODKRegzh5It2Bod5AY2Ex1YGB+wyNU/VUBwbBBfyqH8vw1Ov2TKSXRYSDCnPe5keTrJ/6jYM9Xcui/1BraldcUMbJhewf7qlxiu8+2YxtSxpR64otIr20GbXjyLHqJszelUtLpUzDhBbPlWbUJU9gcsRHyWEouz7Kjh9OMMfZbFi+4DYX4yUMC3NB+UIdotGAd/ENqN/7JbBaPTJ/10oYWNNPqT19mQHIX7fXjRn1gs/wz/uP4Yb1UzhtJH/Zwll33mXcbtf4Vhh67cAQtTiJd2AIG80mOzA45g4MtIsODNaT02Lo0Cbc1qqvXrIDAyBJM9l2KHRpSbQdUkktxrZDGZ6cJFR5CZcWiL55crZCN6Tnc4GvHzqBC6fGOiK9VrDENyTIq/Yyz9ddW7RGs8rBRW+AqSe0hAMw0WSWkGg2qie0RIktGYNRZHdgsJ6cFsOOPE1mgewSBnW8HuKMGs1GCS2xpJa8E8zEWIu5tHDRN0/OfluWHa03MV1yccFkZ7V6rWDX+FYQOlF7yddJT87cai/Dk9OlwjgYW3ZgsJ6cFkOEdpPOVmpP/Z1Ue7HJZg5PToegY7Vn8uTEADw5+6EM55s+No2UsGmk1PW1TLCKbwjQi9pTik4/p5XaA2BWe9Ss9lQJQ1rt8Qy116IDQ9M3qr1u7MkUkgXrgFV7Fq2Rt9FsEq1O613twaz2HLPaM3ZgyFJ7PgvCnP3z5OwHZhs+vrD/GE75rG/XVLDEV3B0m9CSPFdPaFHH6Akt1JEd1mkiocVxqDSjduMJLV6Jai4tUUJLyeOo6F2fVcdnXou6PicSWtCoQVSrQVJLlNDCmz58ldGZMqNm0jNQS2hhDaYpPxEjPZXUYkpoScKSnkU79Kr2lCdnWu3BqPZIhtqjJGs5wdCBIVnCoNuTBet7JrWne3IqdKP28pKi4AI+F/jm4VlctnYCY66T67xOYIlvhSFfiDNKaomFOBOenGGI0xTm1FxakiHOpGWS7gpvPTktiow8aq8T0iMkytxU+3RPTkLlWCJUjS0aH1sugesCJZeg5MpsTmlELVDKMcGkzRpoQ04uSaMG0WgAjYYca80meGBILZcLokSyUP0xFiW8AOF2+Xd+95ZOSA8AnppfxFTJxa4uLcnawa7xFRi9hjj1Y3W1p/YnQ5xJT85kUospxBl3aslwaQmazLbtwGA9OS2GFK2SWsLXbUOcMsyZCnG2c2lpNcE0JY8ZPTkRZm8CvXly9gohBM6fHAUTomtnlnawim8FgNI4ybVCW7Wnwp051V47T86Bqj3ryWnRR/Rb7YXbkiFOzZNTD3GqCWcyxJnHk1MPcWZ2YIiVMCSazMYcW3rz5OyWFAUXqDKGL+w/Bl8IeDkz1ruBJb6CYtBqTy9mV8+6J6ephMGk9tp7cibVXnYHBuvJaTGMyFPC0IoQdbVHSWu1J5/Nnpy51Z7Jk1PZlaE3T85eIITAvUfncNpIGaUBkh5giW/o0U7ttSxYN6g9tfaQX+3BrPZiNXs+eunAYD05LQaNbjM5O7lGsmDdpPZIhtpzArXnGgrWsyaY2WrP4MkpRKba68STsxe19/xCDXNNhkvWjOc6pxdY4hti0FazSI3klDVZOLACT07HdSTRuRSO44CqDE79oXlyeh5FuUxRLknbpEoJKHsCFY+j4vopyyS947OyTKL1Kkh9cWg8Oa3as2iFrtUeNau9cH0vofaiCAvvYIKZU+0lsze79OTsFWvLLm7YMAW3D5OQdrDEV0B0G+ZMhjhTfyfq9uT+/C4tyRBnGOpMhDizimhV6MUU4gxVXs4Qp0pqSYY4u3VpsVi9yKv2UiVEeUjPYE+mPDnV8kHSk1NvMqt7clY8ZvTkNE0wSbMmS4WajZgnp1BZnAH5hZ6cSv0J3pEnp46u1Z4QeHLuFCZcB9OlZGf7wcAS35BimD05TSFO68lpsRzolvTyXGfZPTkNIU6V1JL05NQ7rXfjydmLS8vzC1U8PVeN5SEMGpb4CoZ+q71CenJmqD3ryWkxLMij9oD+eXI6FLkmmISzeGTF5NLSgyenaZ8JedVelTHcf3Qe162f6qm/XqewxDeEGHpPzgy1Zz05LYYRS+HJ6dL8E8zMDgzJEgbdpSUYFsnyBbmtdTlDL2rvYLWBXRMjWFdemhCngi1gLxCWsgMDMEBPTt7GkzND7VlPTosiIs/aXrivhdoDkiUM+Tw5VVJLuwmmrvaI3wwmlWm1Z/LklJmeuiVZmgB19COppck5Th+t4PTRSs/X6hRW8RUEvXpymprMqmOK5smZbDJrPTkthhWmcZvlySmXFjr35AxLGHKYvrfqwJCp9hJZnToGpfZ8LvC5vUcx2/C7Or9XWOIbUgy1J6chxGk9OS2WGrkSWxLEFjvFYAHYypNTjbul8uQUjXrKk1NlcaY8OWNZm/EM6k7dW/Kowe/PLmDac7GmtDxBR0t8BUA/XFr0c5bNkzNVRJvhydlhiNN6closB3IvMbTx5FTHUGL25CQkp0tLxgQzGeKEtsYnwnHG43V7GZ6cvYY485DeXNPHU3OLuHJmsu2xg1MuP14AACAASURBVIIlviFCK5eWjtWe9eS0WMXo2aklT4gzCF3GJpwGT07HMXty5ndpaZpdWvTyBb3LgiHEGStkR+tszuiY7sKcIw7FjRunB9JuKC9scssyY8V4cqY6MGR7cnaq9hSsJ6fFUsE0/oxcmdOTM6n2KMlWew7tkydnhtrL68mZRD/U3v5qHSVKsXGJsziTsIpvSNBtBwbAenJatWehYxBqT4epYD3LkzOp9sLWQ33x5Myn9mQ5Q7ba61dSi88Fvn3kJBqs+/KHfsES3xAgjyenUnvWk9N6clr0H+aC9WBfC7WnzlVEF76mWWov7clJSfYEk3A5uSQa4QnmS8LLUnsZnpytw5q9q73HTp7C2pKHzaPltscOGpb4lhH9dGkxhTiL6snZSYjTenJa9BP9Unsh6Wl1eYChA4NDo+WDwAQi9OR0056cnitQcnnoyVmivszmNEwwabMO2lgEaTRkqZCeyVlvyMhK0497cgbr6ElPzpAYB6T2uBDYs1jDFTMTfakB7BV2ja/gWJGenIYQp/XktCgKOilYjx2XIL3QKCK4HCEIlxjkJFNOKpXyozS+hu6QYMy1mGCS0A1JC3GqMKchxAnEQ5mtiK2TlkLtQADctnkGhJBCEJ9VfMuEperAUERPzmy1Zz05LYqPLLWXPo6EpElptJ4nCVCGOAnVQ5wJT85gjHlo5vfkDEKcqkYvHeLksXIGICDAFkNAJI7tFEdqDXz54InM72k5YImvwOiH2iuiJ2eW2rOenBbLjW7VHslQe9EEM1J70ViLJpaR2hNmtadPMAPSM3py6kktLdSeCXlaD5nOablfCNx/bB6njy29LVkrWOJbBqwYT06DZVIeT85spWc9OS0Gh4Fkc2ZcUi9hMKm9sIA9ofYoFVEyC2FwTZ6c+ljLUHvQWg0l1Z4QUWbnoFsPvXyqhqbg2DUx0vG5g4QlviXGoDw5qTM8npypTE7ryWlRQLTM5NSTycJJZVrt0ZDsEmrPiResR2qPhw/HNMFMqD091GkqYcij9jr15+wEJYfi6nVTS9prLw9sckvBkdelRf/benJaQrPoHC0jLrori/pbrZEbPDkdJ1pDd4Oxpntyug4J/DjjnpylYIJZCkqFyrwaTTCbNdBGNfLkVN3V/Wbck1MfayzIola+nGE2ZzzCApFWf72u7R2vN7GxUkr12SN0+RNcrOJbQgzUk9MQ4rSenFbtWeRDy7U9Y4izdUKLJMSoO4Me4lR1e54TD3Gq5YQwxImEJ2fgyxl2WA/GW5S9KaTC84NGs1qIE0CihEH35+yfwlNocI67Dx5ftu4L7WCJr4CwnpzWpcWieJBWY/EQJ9GGKElOPEN7sniIUy9f0EkvLBky2QCKoHzBb0rCS7q0KALUklr0EKe5bEEjPJEd7uwGj82ewuaRMmYyrMl6Xm/tEZb4lgiD9uTMUnt99+Q0WCZZT06LoqPbH1rjuE1GX0hEgFH5gm5PllZ7KqFFre05wTiLqT1VwsAZaKba881qL1mInixYD9ALwWWdW2ccT84t4lXT4y3PX07ys8RXMHTryZml9oroyZmp9qwnp8UyIN/kM3mO2UYwvpSgzKjbqz0nmdQSqD0qWNSBwaT2hDCqPXB9La+12us3yg7Fm7bMYMJrn0KiJuRLDUt8BUIvnpyEkKHx5JRZnNaT02K4QQlAoNmTGdQedSLFR4mu9mBUe3FHpGYwuZQTzVDtpdxZREB08RKGvGov7eiSDHvmT2yZb/p4dHYhF+npWGoCtFmdS4Cl8OQ0hTitJ6eFRedQv7/RWp3aLhlMjjEEWZ2ILSmo7upURVMCQwjPJfA8aN3VpSdn2WVycuk0NU/OGjy/Cq9ZhdusykzOZk2WCjUbEM064DfBGw2IZlM+Al/O0JNTH18J0osntvS3U8LDJxYw2kOfvW7Jr1MFaxVfQdCrS4sxxFlUT05TiNN6closA/KaRrS+RjxTWg9xUir/jkKbyaJ1Q90e140hmiA8aD3E5Zpe6NbCufxbRJNJKCJTE8yMDgwpolBVDT2ovZMNH3sW67hwaqyzL7APSOUytFGQVvENGEvlySn3D9CTM0PtEb8J0bEnp1ntrVZPTt7KKHEFomjFzDqSak/KPRHvq6epPb3VULrfXuTRGW87JGLlC5RwUPAwqSUW4uQsTCBTPfegTS7DpJaEouulxVC32F+t48I1Yyg7xddTlvgKgGXpwLCMnpydqj3rybmy0I7oC0uMLWr31LNSe0RzZUmqPTXe5BiL1vco4XG1l/LkTKi9kPSkGTWAsHZP/h1f20sXqPcvzCmEwHlTY6myiKKi+NQ8xFhKT85MtVdIT84MtWc9OS0giVF/LDeyiFiu+cm/Y+OOyIllGGkJSxkiteeQ4BE4IrmEwYEca3r3BVnC4INwP1R74DyaZHZoRj2oDM97Dp/E/mq9UB0YWsES3zKjE7WXfJ2rA4NjVnsq/GK2J0urPcoz1J6ySzLYk3XagQFAR2rPYnVgqUgwuSRk+hHXw5zqGOXUklR7YXhTC3NSvX6PcC2bM1hHFwxEBHV7aqyF4y0aY6HaY1HdXtKpxZTJ2U+o36Jj9SYO1urYUC4N5H0GAUt8A0Knas+0fqfX6IUlDMGzKl0In7XyhdCIOnjEzKi1EgZVvlBKljCo8gXESxhU+QIatVgJg16+YCphiIyoeUSEQfmCYPESBiBSe3oJQ7KcAbAlDKsR3RJgzz/+pvFsMI3QG82GERaaLlinJrWnTTBbqT0IEZpRI0PttUpS6bQrQzs8fGIBF60Zh7vMbiydwK7xDQDL4cmZFeLsyZOTD8aTE0iHOK0np0Un0Mmv32uCauxE1xbh9rCEwaEgiLqup4zeQzNqWcJQ9gQ8V6DscpRcOcksUT/qdsKq8FgNXrMK2qzL8oWGfECZUTezzajztB4aSJiTAGvKLs6ZGO3tOksMS3zLiL56cppCnEX15MzowGBdWiy6gSLBgSXFEK1OVvPrTBesm82oVYhTJrQEvpwqoSVY13OED4c1w4xO8CiDMwxzqn57iYJ1IMrkbEdk/Q57VhnHZTOTA7v+oGBDnX3GcnlyZqm9InpyZqk9wHpyWnSPXtYATVG6pJOS/pKEz3rtXtqMmpBoXc8hkCFOEh9r0pZMPsf8OMPaPYNbi1a7p2dyAlE2p45uCanV79bRehNf2Hc09r0vlwVZp7CKb5nQb0/OztXeMnpyWrVnsQwQXPTnRzmUeoFdWTjZ1MguZk8Wbz3UNrKS6K4eEp5mRh1f0zOv7Q1afT1yYh4XTo0blXbW91wURWiJryDIo/b07uvquV0HBvmcZU+WVntuhtojGWpPrjv0pwMD1xfgrdqz6AJciJ5CnqkfbBIvZtfDnAR6+FOr2zM4tUTd1VUpAzevoyfVHuehygszOVX3BUMXhiT6kcRCKE1d53i9icO1Jm7YMN3htYqhBi3x9RF5w5zJEEqa9KIBptScSmqhjrQno4Gyo64TqjxpQp3O5CyXKEoeQblEUC7Jrs+VkkDFZagEHZ/LTjNaaG+qjs8yk9NpLIIE2ZyiWoVo1MFr9ciIuunDV9mcKTNqBu5zaTrN5TNrsJD0FAHqmZytSG8lqr2izIIHjaX60euV/EwwhTn1F8lEsqQZNQ3MqKlmRk2hwpxB6yHl0pIgv1jtnpbJqXdhUNCL1geJMdfBjZumhyqTU4clviXGoDw5M0OcBfTkVLCenKsL/SD4vOSZlfCSN9ypsjVj700ABJZlckIaRFEcPZtTXz8HSq6A50gz6pLDUHJkNmeJNEMzatevwfFroM0aqF8HadbDJQU0/SibU7cpS3RhyGo/pD6z/twKhBLjcfpv1VzDR51zbKwMT91eEja5pU9YMZ6cItuT09SBoRtPzn51YLBhztWHpPNPO/Ra9K4K1FUdHwFC+RcVs0fre/FGs1FiCyXpgnWV1BIWrJsyOZkftRjS1vZihtS9fD7DJKDdxOB7J+axb7EeTMyjxzDBKr4lhPXktJ6cFv2DTn6tfqw7DX3msd1Sw5ci7tQSEaCWzRms61Giyhg4HMgQpwpzQs/mTDaa1cKZWWt7YSeGWHJLnBiz1JzxO8g4dq7hY8+pGq7asdFwTufkN+iQbBYs8fUBhfDkzFB7HXly8iXy5MxQe+E2q/YsOoT6P5UnjNltdqdqNksQFbLrlmV6JqckP5nN6ZD0kkKo9jiLvDlDApTOLBBarZ5yatE/h9DIMPb5OiOTrO9C367e48mTp3DeVP86MCyXUrTEt0QYuCdnhtoroidnp2pvpWO1JLfkRS9JMH0rWdCheXMmw5zBbq2MId5zj8ZMqXmk+lQmpwhaD6mee3oXhjCDMypjSIU5W/zfUdmYuZQeaa0I1Xd66cwkBIb//+twBWYLiMJ4crp0aDw5FelZT04LE9pFD/Kcn0Sna33R2ru2UZEe1V6GYU4ShjcpiXdhcEnk1BL23BNK7fma2gt8OVVBuh7mTLQf6hb6b02neHJ2AfOMoeQ66RKqIcvutIqvBxTJkzMrxGk9OYuPYelhloWlbEXTivxMoTl9u77Wl0cZ6vvD5QcV5lTjjkQm1Cqj03MBzxUoOTKj06MMJerDIz5c4sPlTbisAcoaIH7waDZkFwbfB1T2tN5wViW4QK3nZZcsmOrudDWn/s4TeVKoMYYHj83jh7aP5Pq+ig5LfEsA68kZd2nRYV1ahh+DJO5OSDWLzPTtyUQXGQpsl3kdPCNSdGqDsiQj4bqetCWT26PaPdllPe6KJDM6uVR7ggdqj6fVHhCGNjtfv4tI0ER+0WckRsJUePzEKZwxOYLxcj7KKHr43hJflyiaJ2eW2mvryZlSe4P35MxSe9alxSKJLFLNGn9LkeQSruXFElxIsC2ezam8OSkCU2rOQAUPQ52K9MKkFpXYoiW1dFS2QElq3a8V+anvQT82Cc4YDizWcf2m/C4tRVd/lvgGDOvJaT0524EXfHbcLyQdi3pBkhCTRGj6cc9SfXKb2aha2pJpO/WMayJVoMriVJZlSUNqVcJAwcNGsyQkO1XCoGVyGj5fp6pa/t5w7Xswk1/4HQW/MSalRh0Ht+3Y0FZ9L1dpQjewxLfEGJQnZ5baK6Inp1V7qxO9Enwr4lTE0IoA25Ff2/cPQ5wkDHMSLcxJSTzMSUk8zElC4pPhTSK4JMDwocZQwnw6J+kRQmUtn6b64govTn769xNeI/Ed+1zgS7uP4PVbZlBy2q2JDk+upCW+LlBET05viDw5AaxKT06L3mAizuQY00nCNE5N4c0863zh+yUvmajf051a9DAnJRxUcBCI0K1FhjLlg2jkF67vIb/NmOlYUzmD+pxJAiQZ5QzPzZ2C6xCUPSfX95MXy70GaIlvQFhyT05DiLOonpxZpLZaXVqGPatzuUAIyVSRlJL49xpE4fQfd04ByvWsT4BykSryCpWhVsOnsjlVOZ9Oei6NGs46NIiugGlJLVH7Id0cQrUfylWjF8RWBTigfQbwgNhoQGxQk+x4KJJQJ04+YWmV9pUJgUdPLODVp033fc1uudcALfF1iKJ6cppDnC08OQ0hTpXUIqwn55JiuWe/RUarH0jThEGNM/V/UI0nIQQIIUbFB7RXfbEop1bQTmPF6yJybQmL1UXUhSH05uQgSuXJN4/q89r8X4jW7rTXVITKLgTXwp7BdfXPlzxeTbLlPnkPNcaxdXwEp42NLGnJylLAEt8AsCyenJlqr3ienCasVrVn0RrtJgWpsGVirU8nwCT5CS5Sqq8TEAKAxPNeSBDiJEQKRwoBQoQkOqiQpgiTWMJntE4OCcsNGEPwgUBU93VKQBAPaxJKQvUHRAowvF5S1mrlDCT4rsqug+u2zHT8vQwDLPF1gCJ7cmarveJ5clq1F8cwZcMtJ0zjLCs5w0SAJvLLghAibDRrvBdtF6Fx5acIMHwEhBeSn4q7tgtxUwIiCMBJZBIWJr9xCATkp44NySz+/0lwAULi312SCGWRYnSNfQtVfO/wSdy+c1PrexxSWOLrM5bLkzNL7VlPzuKj19Y5KwF5MixbOZVEx8TT9HUCzCI/LgQkD3BwSuU6n5bLwYWAA13WIbxmuIShsjoBmcASPMceQRanIkF5w1rIM/wyqByPiW3yt0KpMo38lFk14ut6SQKMgcd/m+RnoSEhPnJsDrvWjptrPFYALPHlRNE9OUsehsaTE4gI0HpyWgCdk3/SfUVHlLmopfQHZNex8sthyEw1lQckFJ9GekheS6TvW6h7oZLQBBcAFVLZUQqSXN8DB3h0jrzn1oktRqilFTg4sljHyQbD2dOTK25tT8ESXw4MgyenMcRZUE9OG+KMg/s21JlEuzU3liCR2PGMJYgxIBVIkmNMBJEVhKJIrfUp1ce5CIkMSFFWFNJEFPbU6/dCwiMytBkGK1W5grxpgBAIIse0KgokjhO+Z/gpKJHKLogIhabV+tocgrBmcH5YEiEEiCZh1bGxz+NQ0JILcAGv5OL6HRtQqnjZ/wBDDkt8fcRyenKaQ5zWk3MYsFrKGTr13cx1TaPtFokpSEpIGB4ME1uEAOcwkp9aDpNG0NpSXIt70od3SHgEIEnKVIwZ/xCJhUIKEC4VqYqhcvnbIFRSS6D+CHXAfSbJToiYuhNK8an3UbV7TrwmT6lfQikWmY+xSgkz49lm1FkYprVqS3xtMCyenJ2rveXz5GyH1aT2VhP6SfBqbJmSW0wkqMhPgmrrf9F1IhLlEIIAui7iAnBIwIJ9Cv8pkqMauQXhTiKovD8hAtM0BuI68j5IcB9EfgYa/IqHnzv83dHGHucATRCeCgUH5xDHwUN7j8JzHFy1dV36ftsQW5JQiwxLfH3C8ntyZqg968lZePAhmikvN6hax8oi0YyvUuVyRAQoN3AiZCE6iZc3CC7AiYiRYwgRj1hmQQhAKGJFRKSCUIgwxCnVXizcGRCIeld1BwLBOqKyJEsQoFKqhBsmBYYJvE6MhFLUhMBzs6fw9ovOAHXTJCZ4nwi/ALDE1wK9LOwutSdnltqznpzFhy1gbw19maDVJIFSmrIsS363IQGq0Kch5ImkJ6UQkmcEMZKd6hsbvgYJFKN6rWWdEipfq/U9x5HtiFS403EAnwJEZpaGVwkr5gUEJykCJNAmA9qx4elwjIpNTwB6/Ogczlw3hbGRcvpDor2is6HOFY4ienKWPD40npxW7cWxWtb4OoE+6czrV6mTYpIEla1XvIQhUH4yVySwIJP7JNEJICC15E9+WI2QsV3ukwQoQAKVR8GJA0oIOHVAqSvbElEXcASEkEknxHHkdQPyJACERm7SriwgQAdR6YP6nhxJcjEyVNuBGAESR31/FOduWisn3ga1lwck9S0VF5b4ekRRPDmNIc6CenLm3b9awHzW/qAhRbetiPL8z4jV72n/7wghYJxpx8l7oCKYiKpQIFU/1RH5ARyEE3DCADhynZoTCAIIIgmRBSURnItA7ZHAV1oSHeNEZoYKiqAZERhxQam0K+OOBwgB4ZbAARCi6nYdCNaU5McD705XTjDVa8IFIHiUmRkYWotgLTCm6jTSy1Rjwfid9zm8kRFMVEo5vvkEknWIQwBLfBkYOk9OU4jTenJaLDMG1WuQUmL8MScZ4U5dEarJplzTMys/QCMLIcBFUE4QqkAhw5kistrkQkZLlTeLEJIIuZBKjxMHnDrg3JEkRx3Aif8EEwDCFZKcgzU8wpg0pJYpm9J3U5FNQIRGwtOVHbIjC9xneOH4PGa4wKS3OihhdXzKAaFYnpxmtWc9OYuPYVobKQJIUGdnAk1mt6hxqXVn4JxHSTJhQkuc/JRbiwjCnpQLCEoiYhQa2QmAKfLjkfpjhIAJAg4HHEwjPzdQfm7SMRMgFERIlQnqyvU/6gCcyUQYwWOEHBKh/DDRddT3I+LkJzfFv6Pnj86hvM3FaesTHdZXcAjeEp8Bw+nJmaX2rCdn0WHX+PIhKmHInijwBJWERJggQK7cTYJrJslPcBGGNoVAmMYpIILQpgjW7yRRCgEZ4hQCjBOwoGUQFxRMUDhBuJMQDkoZAA8O84J7DD8gwJqA4CDcBbgPIZygXZEDQmXbIqKbXGuhzxAiTXrRFyRSxRiPHDiGW26YAplduQXrSVji6xJF8+TMUntF9OS0ai8Om9WZDX3ctJsgEBIPf+rKMIsABRWJAnZJfoILMKhOCkHypJD/1x0qwnU9wUSg+jSlJwi4IPA5hUsomHAk6UGAEvk3KORaXwAqbxiCUPk3D8iOMan4BIdwWEh0yVAn0b8bfV8SBjJ805UXYXxiDKxcWTXRB0t8CQytJ6czPJ6cSaxmtQfYUGerSEpHHchTa3tabWmgq3QClN6dQdgzQX5CSELkXJIcFYEKRLAOyIVc5wOJ+shy+eBcJbgQ+EGCiy+c0NEFQekEo24s45Nw2a+PQya3EMEhgoSYcK0v6NQudFVnCmu2Ij/t2O8+uxsXbN8E4riAV8ouzV9hUQlLfBqG25MzHeK0npzDgVXfnSHZiaANkp0cdBETGlRreaGEEgjGgmzP4BjO5LgTkY0ZFRSEE+mc0mSgDg0nenAdAByccTDIBBnmczDmwPcFKAGavu72EhTICwKXlOA5FJxQ+MSBRxwwx5XqTsjxSgSDw5qggoG4PqjwASFAuRbeDMhQfkBzI1u1TQTHZH5RAA6fmMPDB07g4osvgChXwCfWyKzRVQBLfF2gkJ6chhCn9eQcDqx2xdcKpjGWNVGgJJ3pmfTnlBcIQvSgUgEGio8jUn+Ccwiq1vLk5A+Ehmt/qqRBWvbJ9T2fBR2Fwr/l+r0vKAh3oC8/ClAQKuAIHwKSdAVxQASDSxoQwpXZpJxJT07BAxUYqTv9b53kdHI0fqfB/odeeAoXn7sLTmUMgroQXiVeRjKEZQp5YYkvgPXktJ6cy4Uir/F105m8n8gzKVDjLkmISX9Oeazekohnkh8XAoQL8GCBjxNpCaYK2wmTpRBMCDBGQKl89oMxSklAfKBoMu03hCLs0EfBIAgBdyio4KCCgQqGoPgARHBQzqJefqo2UUTNbIlB7cm/DWt+Gpq+j0PzVVx/5aXgngfhuOBepe13vVJgia9DFNaTM0PtWU9Oi15QRFJOknFWP75Yh4YEAaonAhm+18kvyuqUpKKyOmViF5drco4sZBdcgLHAaUx7lpNaSYA+pzGrTEFk8TyBgAsGCgZKuHwIWfZAhQxrEkdIohUcRLDwb3nvGuGZFB+Qqfqox/HWO94IQgh8AK7jwi/l78iQap47ZLDEh8GrvaXw5MxSe9aTs/iwoc78pUJANhnr3RWS19U7NMTCn8Frnfw4ly2BeJDxyYWAwwFOZEILEQBhHA6hQZhTqj3GBJo+iXr1Bb8DnqOMtWVRu0MJeEBqUnE6cKS/C2hQ60fAQVW3dqX+hFR88rWu8sykRzJIr1at4p77HsQP3HCtVs7hwXeziS/VXmnIYYmvA7SzX2pZsG5Qe4SQDtUeWnZgOHJgH+aOHsIFO06Dx/UShvxqL3yY7Mms2rMYEDolfxNRJtsR6dclQfgSSKg/CulrqdufcQFBg8mfqt8TJFB9IlR9TARZnwxgVMBnMhxKiSQ/GpCfCnXKEKesIBREGk1TIuAQDiY4KHFAweHC13r6RU1tqWBxlQeEpBh+7gwS1PHIC8/AHR2HXxoNt3Hqoum1V3xZZDpssMSXE6a6PV3thX6AWkmDXsKgyheoS2MlDLGHVsKgyhfKJRIrYQjLFxIlDCcP7cX/8XO/gLn5BezYvBG/8MM3402XnQ/KmmH5gqjXYyUMyfKFsIQhKF9QzyqzTZEda/JYCUOyZCFJcsnXedcAVwtsAXt21CULWUQZZnUmSFBo5BbvzxeRX2y9L7gGD5JbQtWn1vgC1ce56ugOMEZBKeAH3YVooPwaPgEgrdSEIzM9efB5HSLAgjCnExAdI7L0QRZCiJDMKBhUV/jwWdsvX7dWfL7v4/tPv4hb3/gGNJyI6Bj1Yq97wTCEQVc98a0UT85Tc7OYm18AALy8/xD+04fvxJ9snMF7brkOt529BU6BPDmzsBrDnEBxQp2dhBv7jX6Qf7J2L4IiMhZOUHnwWWNuLYxBcAJCRRiZkVEPWQXIQEF8aV4NBCbWjKPRkJmdrsvBGAEvERn69GR2pxAETZ/AdQQcSsN1+pLjSMVHpfIjRMAhQq71AZHaC58hiVAjPf0ZiAgxfJ0IUc7OHcemMy4AndqOee07HxFlzIvJbr/6ocOqJ748GAZPzl3bt+D9734n/r+//lvMnVoEALx06Bh++a8+hw/PTOHd178Ct5y9FdR6clpkoCgEbEIeUk4WsIfbNbWXXNtT+1VX9ti1OLRyBkk4qrRBECpNHAQBZxycyLU+wgHf1+9JJrnwYH2PBX/LZT8Khwj4HHCoJDdJglSGQRGRHyDVIYA08RFd8enfQfr7qUxuxCsu34Q6lySqwISDBu+iM8OQYlUT38ry5Gzi7W98Dd501UX45Ofvxsf/5R7MLdYAAC8dO4n/9I/fwh9Pj+Ndl52NN+zYIE13rSenxZCgXWgzdbxK/tD8PU3kx4Nxmwx7yl53DoTgskxOdWPXShuIkBNExgQIFfCbwTUS8F0Sdmx3qHR2oUFZBaWS7HxOQIHwdajw9JAmiUhOvUsW6SX3AcDuF5/GoQN7cfk1N6XukgmKOrNenRYBhsWTU5UvrKl4eO8dN+GnbngVPnH3t/CXX/su5qp1AMDLJxbwa195CH82OYqfueh03DgzCWI9OS2GGFmlDOF+jQD1RBdFfkC05pe6dnCugAgaISRKGwiF7NIgwBgHY3KccgKwIMEFEGg2CYQjiY9p9bgAier9iCQ9ymVNoFJ78t4RhEKDz4hoOxCRY/gdGDIwhRB4/NFHcP7FV6PB0j/7PqeoGbZ3giTRFhmrlvh6LWHoRO0BMKu9buzJcnZgmCq5+MUfuBo/efl5+Kuv3Y+//vcnqfzqiQAAIABJREFUMFdvAgB2zy3iA99+Ah8bq+AdO0/Da2cmNQWYbU+mkCxYB6za6wWD6lm3EtBpI1ud3Fodo8gP4GHGZ7w1UVDeIAIXFzhBt4aotIFQORaYz0GIXO9jFLJ9UFAQKIQkNC4AV8jJrOzkIO+FEDnWoyxQwKEkyOhUvx1ByFMRnfZZdHJMfXcaER3a/xKaPjC98UzUfT3bXD4zQdFgw9NBvVesSuLLS3qtMjnlNhInPUpD0guL09WzK02oHd2M2nXiRtQlinKJouQRlEtA2QMqJYGSx1FxGSouQ9lpokwbKJE6SryGkl+F50sjaqexCFKvgtRrQKMGUa1iwgHefcU5ePu5W/DJB5/FnY++iPmGXITYc6qGDz76Ij4+UsKPb16HG6bGQAK1x5qSAFmDacpPxEiP+yLlyZlFbpb0LLpBZt+9NoSYJEDl1qLv19f4skOmwTM0tReWNvCg2Wyg+DgFYZJMQydqUPh+0MKIC5kFSmWhOxAUuBME5CeVHwvVoKbygn3y7/Rapunr0I9jKOGsV9yQSW4+I6g1qZFAVyJWJfF1ipXgyTnhOvi5V+7EW886Df/rsZfwN8/sw3xTFsTurTbwe8/vxyfLHt62bhrXjVQA68lpUWDkJcRYeNOw7qeSWsL1PtWWiMjyBiG4JLxA9fFgTFBQMHBwTuE3GSgXcJygnZFDwZiA68pnLtS4D8KaVD47jlJ3garTSiDkNhVFQuw5bpCR+PwG4qrXTsEb3YoSdTC/aFaHDR9YqFrFt2Kxcj05MzowJDw5xxyKnzlvO96yfQP+5qm9+Ls9h7Hgy8G8r97Eh/Ydxt94Ln5kahLXlMqgHFro03pyDgJFzqbsBstZFsED8+hWSKq/1P7AoFqZWYfensHaWayuj4uwto+xuNIDpCIkVI5rlc1Jg4cQBIwIjfSIRnpyGwBN6cWfFcxqL/r7sQe+ipmNZ2DzGa/I/Mw+k+S3WrDqiC8vhs2Ts9MODGOE4B07NuAH10/hH/Yew2cPHcdCMJvd3/TxR0eP4zOOgzePj+NqRxKgglV7Fq3QLyLvlkDD5rN6eULSnUUjv1aJLmrSJwSkdbQQIImudWF5Q+D4EhGh3O8ESwWOQyA44DgEPEiUIUSSIOHKySUiQbA4gUWKL/k9pb8DdcypuWM4fmQ/dr3yFjRbEBvnQKNpVoMrEauK+FayJ2eW2mvnyTlGKX78tLW4fe0E/unQLP7p2CxOBYP9AGP48MmT+Hvq4Icro7iSe3DUj4X15LQYMNplbLZDUv21WstruZ9zwHFCJRjV9JGwxo+Bg4ZLA1LtOQ4NmtRK708hgmbqSkHqxEci0nEcAkCkiC5JcOHvT0Cwpp+3F5+6Hxu3XwImPLBmtD15LONoSYwrDauK+PKindpbbk/OfnRgSHpyjoLibTNTuHViHJ8/NovPzy1gMVgTOcgZ/mRxHp8lFHfQEVxFSrHMMqv2LJYCJvPpdmgX+kyaVmcel0yOCcKdysSaasXu0fqjIj9JYnKNkUJoYUxCJemotT0ZAg32abdDpXVMYvIuMhWa+ijrtlyE0YkZ+G3GJecEzQFORk2qdGlg/oIs8SVgGiRF8uQssSo8vwa3WYXbXITTqILWqyD1xb54co4I4C3jE3hDeRR3zS/gruoiFoO1jYOC4yPsFP4JVdyBCq7wPTjaf6y8npxW7Vn0ijxlC1nnZWV6KqhefKBxNxhZyyeL2QmCzM5A8cEJsjZJlNVJCAEDDya+UiFyzmWUR0QhVkoAoam65JoepVJ0yntNFqlnf9a5Yy9hfM1pAC3Db+O2xDnaHtMT2OAu3Q1WDfGtFE9OU9shMHOIsxdPzlEQvHl0HD/gjeCL9UV8sV4NCfAQOD6KRXzOoXgTr+AKuDECtLBYKuRRgXkSXvTrJa8TcGB0jCI7CnCIMNMz7Agh0muH4ZIHIeAMUaY31UoSVKSJxKNK+q2bfsdMaqpZP4UnH7gLF1zzk/DKZkcWfanGZwT1+uqZkK4a4suDYfDkTIY4VVKLKcTZD0/OMUrxw+VR3EzKuLtRw5d4LSJAwvExZxGfL1PcVi/hCniWAC2WDe3W8Do9Lga1zgep9sIkF+XuEkwgOQVooPxokODJmZDhTdUVghIQgVAFKv6JlVuwiKw5dGVnCMkmcokoAQ6+9BCmN5wDxx1NlSJFp+mmFAS+v7Kyi1thVRBfv9XecntyJtUe8ZsQGWoPffLkHCMUd/AKXocSvszquJvWUA2+1kOU4y9Gavhn3pAE6Hug2kK6DhvmtCgauiJCDTzI2FTX4pRKH0/V1J0rEpTNbSmXBfFwqCQ4IsmMaUkqlAJMI6zYbxhrrWB91sSRvY/h7MveHrtGK8hO8qtnbK4K4suDYfPkTJUwZKi9ZDJLr56cY6C4Q1TwelbCV0Qdd7t1IwHeuljCFQ0bArVYOQi9OzlAnHjPP5XsQrkMPYahUC4dVDgQkh+DtDsD45LwBKBMVigBQBGSIJBe20uSYhoOdl3643BLY7nJjIt211xZWPHEt5QdGICl9+QMSxgy1F679T2gO0/OUVC8ya/gdX4ZX6F1fLkUJ8C/HK/hnxnBbdVySIBW7VkMGr2qt46hRQejJBflAqMlyHB1aKDWNPUHIFxETJEgEBbOq98YZkgUUb9zzK/jyO4HsfGMqzsiMqv4VhB69eTU6/KK7snJa/Uoi7PeAG/68FVGp57J2fDBmgzc533x5BwFwe2NMm5qlPC1UgNf9uqoBl/vYUeEBHjrQgmXN60CtCgeuiHKWAG8EFBp80r1ARH56et9CJ7S6k8rnNdIENB+xxLEpAehFDke3ft91BZn5Tg2dGmIPnOiCB+IZbCudKxo4usUQ+3JaQhxiowQZ5jUkghxAt17cioCvHHRw9fKDXyl0ogR4F9N1XHXWAO3nirh8polQB2r5QenlU1YUdAJCer/bpxHndFlggugyE+6uIjQ0lCOOxJFiYRKYhFhYou8l/R76pmYyVQUzpo4vPsh7LjwDvg+b1mXiITXKefCJresBPTDpUU/p/CenB2GOKVTfDzE2Q9PzlEQ3F4r46Z6KU2AriXA1QwTwQ+CDJc83NkCys6MUBIUt8vtSQWoELttnv5uQoVowMLcAYxMbUFpdEYW17cJXcZ6EIp4UttKx4olvrxo5dLSsdoroCdnptpTBJhQe7E1vh48OUdFRIBf9Rr46qglQIs0kh0TigBTU1rAfI9Zaj1KdCGyDlB1fQ9CpGGmJxBjvkwSjF3cfH9jk9swOrEVIqdwY7FyhnRyy/K5rQweK5L4VqMnZ6dqTyGp9gAY1V63npyVBnBbo4QbFz18fbRpCdDCiKUkwE6ztmWmZSuPz3gSi+l66rg0+ZFEl/gokcXUekk/XseJg49CCI61p13cZehcxM6T99LFZYYEK5L48qLbDgzA8HpyxkoYBqT2TBgVBLedsgRo0RrtWgblQb/CnGri2i1SiS7ETH4AMgkwdj8ZZMi5jyN7HsCWc27J7FOoI4+LzUpfd161xJfHk1OpvZXoycl8HpIda/KQ9DjnIallqb1ePDktAVq0Qz/ILw/06A3QP8IE4nZlClwgJD8AYfZmFgHq96muacLswSdQHlmHyuj6mGLMgokchchu7rsSseKIr58uLaYQZ1E9OTsJceqenCaXFiB/iLNbWAK0aIVBhT7bhTlpggy7Qaq/X6D6AIAH1zYRIIAw+zNxRXlYBpkJzjCz5bK4oXaHNXkyGrSCY5sJrDjiy4MV6clpCHF24snZDoMiQkuAFkUE0SI9CMc8QEBAaPdhUJVxqtSf3BZXaVmkb1JkzK9hauMrwv15zbhXO1YU8S1VB4YienJmq73OPDmBzkiuX62HeiHAKhFwBFCypLjqkduRyVCy1NX7Ja6T1dk9/nea/NQx8l7iBJj1Xpw18fKjn8HW8+5AqTIlt3UZroz3EVz5WFHElwf9UHtF9OTMUnvdenLqGHTYU0enBPhkieGP19QwxQnee2IEm9kKzsG26AqtVFAyzLnUSJIfkCbAcHuCCGcPP47y2Dp45clCloUUGSuG+Fa7J2e20uvNk7MVBtloNi8BbvQpOAFOOAIfXVPD+46NoGyVn4UByd8C88SXpgin/XXzHW9SfUBkopJFgKb34KyJEwcexpZzbouf02U25mqzLFsR0+NBeXJSZ3g8OVOZnH325ExiqbqrKwL870fHcPtCCSPa+vthV+DRCguN6w+4HJ+erPf1/S1WHvKEOcNxT7T1vS7DoVxPOtHrZTlPHJdyEoudF3sIYMOOG1AenenqnlY7Vozi6wR5XVr0v60n5/LOBlspQF3gfWfEx1mNBq6tlZblPi2KhWStrmk9H0CqbCkLWYktqbU+Va8XPHMRmVAnlV/yfkzkp/88Mb+O2qnDGFuzo382Y6vMsmzoFd9APTkNIc6BeXKK4fLkNGEp2g4pAvzpkxVMMQKTAf2dkw087/oDvxeL4UdyzCuoKA8hQBYPdhoS1ZEkmaT6S0KpQS6A4wcfwcLxZ7t+b4sVQHx5YT05l86lZSnwrZEmTjoCpuU8QYC7xjNawFusWLRa2jAf3zrRLXltMuC1YzlWWxOg31zEycOPY81pl8fIMPmwaI2hDnUO2pMzS+1ZT840lrrJ7KV1F0+WGRqG/wJEANdUh/q/tsUAkBXmDPdr7kztrhGiA+mghztboVV3ibnDj2Ni5mx45Yk275X/voDAuWUVEeaq+HXo1pMzS+0V0ZMzU+0tsSfnUuHKmodX1lzUqMEWjQPe6glmrFh0kpqfJ5EtfnyUnZ11PSIr1ju6r07u2WRrFu1Lr/0BwPTmSyG4oQW7RUdY8cTXiycnIWRoPDllFmdxPDmXAmUQlDNatFhY6GhlUtGuhMEU5kwa1neLVuQn90eT1uP778f4zNkoj6zt+v0sJIZ2WrwUnpymEKf15LSwGDwGofaS7cRS+/WxH2Zv6+fH76t19qd5HzfUyiWXJUyonTqCuaNPw3XHwrXArIdFe6xoxderS4sxxFlUT05TiLNAnpwWFkVCnBBbr+0pf079+KWEEALH9t2H6dMuBXW89sd3QX5CiGUlzX52xsiDoSS+pfLklPuHxZPTrPaK5slpYdFPdLu2B5jX98IyhhZLJImNqfftFllhT84acNwRTK47t+f3KCqWmnSHNtTZDsvSgWEZPTk7VXvL7clpYZGFvrciSqg5k9ozQUV88t5jP+47Vd8nZIbnpp2vi4VdLXrD0H2TS+nJman2+uHJKfrtyZmh9gruyWlh0S1alh10qPZ0a8K0sYX5Gt3CtM6nQye/uSNP4vBL9/T8nhZxDB3x5UEnai/5OlcHBses9uTfabUn1/fSao/yDLXnN41qj2eovVYdGIB0U8p2JQwWFisFrXw5TSSnQJOG1gMOcyYhuADz6zhx4EFMb3pl36+/2jFUxNep2jOt3+k1emEJQ/CsShfCZ618wUmUMcTMqLUSBlW+UEqWMKjyBcRLGFT5Ahq1WAmDXr5gKmGIjKh5RIRB+YJg8RIGIFJ7eglDspwBKH4Jg8XKRt5woWnM53VnaqX2kveiH0q06FDre+sPEZ7Y/xBGJrehPLquL9eziDA0yS3L4cmZFeLsyZMz5dLSH09OIB3iHGZPTovVh17WyEyk18qdKVbDm6jJS6776abU4Xal9gZoYzY2fSbc0ljL9kQW3WGoFF8e9NWT0xTiLKonZ0YHhpXg0mJh0Sla2ZOZsjaJNu6jbXGH6qUiHSEE5o4+idLIGrjeaHxfjpo/i/YYCuJbLk/OLLXXtSdnqgND/zw5s9QeMNyenBarA/1Qey2vb+jCoI/9+PVyrO8lr0/ivyG9YHFuN2YPfR+kxc9zMqHNojMMTagzD/rtydm52ltGT06r9ixWCTqt121VuhRuM6m97DcAkO3zGb92Z0TIuY9je76DdduuA6FOrnNM5GdDoq2xoogviTxqLzk48nRgkM9Z9mRptedmqD2SofZEs9m3DgxcKwy1as9ipSFvRqVJ7ZkTZKhRvbX08uxj3WFt/gDKo+swOrWtp+u0U4KrnRgLT3x5w5zJAWCa9ekL29Sh4cI2daQ9GQ2UHXWdUOVJE+p0Jme5RFHyCMolgnIJKHtApSRQcRkqLkPZacoHbaBE6ig1q/D8Kpwgk9NpLIIE2ZyiWoVo1MFr9ciIuunDV9mcKTNqBu5zaTrN5TNrsJD0FAHqmZytSM+qPYvlRC++nMl97dReq3NMSE6UW6m9XslECIHRqW0Ymdza03VyvVeSGEV7slxJGIo1vnYYlCdnZoizgJ6cCtaT02Klolszajnmo21JM2q1Pf47oE+Us91dujGqNkEIgYMv3I3Fub19d66xSKPQxLdiPDlFtienqQNDN56c/erAYMOcFisJecyoFekZzzf5eQ6AmE7NvgC/PoeR8dP6fm2LNApNfHlgPTmtJ6fF8KLbgvVOWg+1MqNO3ku7BrXx43PceA4wv4aje76D9duvz53QYtEbCkt8hfDkzFB7hfTkzFB74Tar9ixWOFrbk5nDlSa1p4dIY9clJJMQW9kgtr9vB+u2XYvK+Kbc51j0hsInt7TCwD05M9ReET05O1V7FhbLjV7syVrtS6q91CS4jdpbStQWDoJQF+PTO5f8vVczCqn4CuPJ6dKh8eRUpGc9OS1WI1qpPdN+ta2d2gt/IVPlED3cbADOmjj80tfhN0/1fjGLjlA44iuSJ2dWiDOXJ2eqbs96clpYKPTTjFpPZiOamqOmSTDVJ8H68kd6fS9UgG1Ir9Mwp7r+8f33ozK+CWNTO1oeb9F/FI748sJ6csZdWnRYlxaLIqPfZtTG4zoIcSbPa3XN9Mb4y7zhUs6aqJ06jJmt1+Q63qK/KNQaX9E8ObPUXltPzlQHhsF7cmapPevSYrGSYRr3sf2GpBY14aXhOen1vbja07oj9CPEyZsg1MGWc37Q1uwtEwpFfHlhPTmtJ+dKwmUXr8HUpJe5/+RcEw88MruEdzQ49OLS0s6eTA9Vms7NoxJN76vvS2xseb2s9zj88r/Bq6zB9KZLOj7fIsL5O0uYGM3+N/33x2qZ+4aS+JIYlCdnltoroienVXvDi6lJD8dPNDL3r50uLeHdDA9atR6S27PVXuyYDALrVI3lCXMunHgRtYWDWLftuo6ubZHGxCjFyQXe/kADCrPGV0RPTq8bT05/eTw5AVhPTotCo19qr9W6vknt6ZZl0fXiHp0dq70uIAvVv4UNZ9wI6mQrfIvBY6gU35J7chpCnEX15MwiNevSYjFsyEN6yUzO6G+zJ6c6R/fkVMelrq0pRdlhXQTn6zfVORl63gg2n307SpXpjs+16C8KofiK6slpDnFaT04LiyIgc9znCHGq44BEB4Y8hGY4pt15Jw5+D6dmX7SkVxAUgvjyYFk8OTPVXvE8OU2was+iKOi3J2e0LduT01TCkAxxtrp27L17iHYuzu3F/JHHUR7d0P1FLPqKZSe+IntyZqu94nlyWrVnsVqQ7LCQ15PT9Nqk9lqSdIchTr+xgCMvfwMbz7gRbmmso3MtBodlJ748WC5Pziy1Zz05LSzyoyienEm1l7In09CJ2mvZnZ26mNl6DUYmtrS+iMWSYlmJr+ienCUPQ+PJCUQEaD05LVYquvXkjJ+TrQj7WVA+e+gRCMExufasvl3Toj9YNuIbBk9OY4izoJ6cNsRpUUQUxZNTz+iWx5D0ee1I00SYGZ9v7sgTmD/2NCgdqsT5VYPChzqX05PTHOK0npwWFv1EHtLLQjeenG1NpHOqv6z91fl9OHHgAWzaeTOoY80HiohlIb5h8eTsXO0tnydnO1i1Z7HU6GfYsBdPTv0YhVQHhnboIKmFswY2nH4jvMqa3OdYLC0KrcOX35MzQ+1ZT04Li4Gh356cNKYIzYlyYcF6D2qP+TUszr6EiXXnRu9tTagLiSVXfL3MApfakzNL7VlPTguL1hik2kvt71Lt5UYOtcdZEwef/xKajbnOrm2xLCjMGl8RPTlLHh8aT06r9iyGEUvpyZlX7bW95wRxCs5w+KWvwStPYfq0y6P3tmqvsChkqLMonpzGEGdBPTnz7rewGDT66dLSb09OmogKmUgvnsnZ/rMJwVEaWYfpTZfY/npDgiVVfEPnyWkKcVpPTguLJcUgPDnzvW/r44UQ2P38A+CsjrWbLwOhTrjPqr1io3CKr1ienGa1Zz05LSx6wyA8OePXa+3JGbteltprASEEdj/3bbDaYdDRs3OdY1EcLJniG05Pziy1Zz05LSxM6HdSS0dqLzERVscB/Vd7e56/FwuzB3HRZbenavWs2is+CqX4iubJmaX2iujJadWexbCgV7VnKliPX6+1J6fu1NKJ2iOEQAgBQgjWzGzH5h2XwvXKAGotz7MoHpaE+IbWk9MZHk/OJKzas1hqDKKEIXzdxpOTGEKbuYvTc0Jwjhee/DrWzGzHzCZzeNOqveHAwIlvuD05tRAnt56cFhZZ6GcHhkF5cqrXpvttd/+c+Xj+8S9DAFiz/gzjMZb0hgeFCXUW0pPTEOK0npwWFt2hV0/O5LVMdXetPDmTpJfl0mJSivtfegCuN4LTz70BVMvetBhODJT4VownZ0rtWU9OCwuFpfLkDBVgIurTV5eWBE7NH0Oj7mLLGZeDUMfW6a0QFMK5pbCenBlqz3pyWlj0jnbjvlVGpknttfLk7EbtLZ7cjUe/+7/bu9MgR876juO/brWO0TU75x6zB7vetXfttY0JsQ0EbGNzmCuBhGBSJEC4khSQvIBKcRRUCCkHUqmkUknlhaECFV44kDiUKUM5BYENMXaCgWDwbYy9613P7o7m1GhGR3fnhWY0uqaluTTSPN9P1dbuSC3pUT0r/ebf3c+/71Yum5Edcgi9HWTLKr6trvY60ZNztWqPnpxAWad6cna62ps5/1PNXPyZXnvrG+SHd7fcnuN7vWXbK752O7GX/123YL1JtWdZ1hqrPa35Cgzl43vtV3uVP83ak1HtwQCtevE2br96tdf8WOHGe3JatiW3lJfv+4okRrXvsjcrPbA3cJzoTdt6cku7vfmqz+aqXsKwvHzBduyaJQw1f6qWMCwvX4hGrJolDJXlC/VLGKqWLzjFXM0ShuXlC34+X7OEoX75QmUJw9LyheW/l5cwLIedW/RqljDUL1moD7n6n9s9Bghslq2u9qr3+LRT7VVrpwI7eUlEqcTKV+D09Fk98dC3ddlVr1L/4OGlcwKCnyMUkl5yZV/gNnM5T488XWg5HnTOlgTfjunJ2WQX5/JJLX6X9eRcDbs5sd1aLVhvduWV1UKvsoShKvRq9/rUXrWl8nxNqr1UwtFMtnz8/bln/lcT40/oyImbpMgezc77klp/dqZnW2/Xn9z2HWuos20VXy/05FztCgz05ATa0+09OUvFvEKRqJxwTCevfavCkXjL94Tet+m/iuysnpyrXIGBnpww3Gaf4djpnpyeW9TTj/9Aj/z4Lsn3tffQNWsOPU5o6V3bUoP3Sk/OVas9enICLXW62mu3J2c+d0FnH/uaCvl5nfiV32j7l3LsHJu6q3OjSxjWUu1Jal7trac9WdNjewFXYCiWmlZ762lPtqx+wbpEtYfu1LkrMDTrv7n+npyFhYzsUFShcFzDB2/Q8auOaibnNWzXzvuj2uttmxZ87YZe0Jmc5dus2tCz7ZUD2suL05f/dspNqEPVzaidUG0j6oitaMRWJGwpGpGiYSkW8RUJe4o5rmKOq2ioqKhdUMTKK+ItKlJaULhUbkQdKuRk5Rdk5RfLZ3MuLMgv5FfO4swX5BVLKi2f0dnQjNqVV/Lke175zE3Pl1twqyo/vyb0vJLf0JNztXAj9NCt2unJWXvb1lV7pcKcZi/8RLnZ0xp9wc3qS40pHEmt8R1hJ9m2Gp+enPTkRO9ppxpqtydn/bq7xl946/f01H72lx9bf3yv+nvE80o6//Q9CoXj2n/529SXGqsa1PreH9Ve79uUim/n9uRc5QoM9OSEgXqlJ2cxP6PZiw9J8jV84AaNHX+rbLt1yzFCzxwdXc7Qaz05N63aoycnNiDsWLr55SOB28zMFvXgT6c7NKK1We8VGKofW3vb6j05J8/dp9zMM0oNn1B6+IqlxzeG3mZfqw+b6/IjEaXiwf9fWjUXCLLh4NvJPTlXq/boyYlOOn8x33KbwYHIlo6hW6s9t5TX4uzTKixmNHzgBiUHL9XA3usUciI6eTSqdCLUfPy25FR9RW1lA+pQSLruZGzV++ns0igVtzWTbTzxaLN0rOJrtxP78jbd0JNzrdUePTlhuk725Jyd+ImymUfUl9qv1NAJSVI0Plq5P50IVb48a56+w9Xe5EzwFzidXTqvI8EXdMHIbu7JaeVzPdOTk2oPW6UbrsAgy1d+flz5+dMq5qc0evj16ksdUnroCoWc2IbW4rX7/ji+t3NsKPh2ek/OZrs4u7UnJ8zWDccB19uTs/4X3so2flHFxSlFE6OaPHtKXimrePqw0iNX6erjCfUn0+Vtl7+HbFVKO1vl7wEpuNrrhtBrtStU2lm7Q7f6+F07trzi6+WenM12cdKTE91ou48DbqRLS739g6eVz51WLpvR0OhhHb38iPxrXqeQEy4/1pIcx9bkjFuzXm/5znJI+ZVtVwbVnRVbq12hkjTYb++YcNzq43ftWHfwbXa1t209OddxBQZ6cqIXtVMV1qv/mJerxplVt3/x1f1Kp8INJ6lVnmz5c7308+z0Wc3PXVR27rzCkbiOnrhJ05m4srErtffwPjnhsKZn3fIvvXJlLX1t2Hbn/s93wy7OzQrH1YyNOrruZKxleLZTrbWy1dVcO7a04uv5npyrVHv05EQvaqcqrFf/C+7ocFQ3v3y4bqOVz7bjWJrIFKruKt/nea5y2QvKL05rcSGjRGqPhnYf15lfPqZorF+JXZcrkRzV9JwnO3pY6aik6ksTqTFIV6/2Kj+u6NL56yX2AAAQyklEQVRqbzO1E46ryRd8zWS9luEZCm3sdbrFuoKvk1dgkLaxJ+cq1R49OWGCZp/zCxNNwnPp8+z7niRLbnFe2dmzyi/OqJCf1cjeKxWNDWji/M8V6xtQsn+/kuk9kqSDR2+UHbIlWQ3P2bj2bjPeVdXzsWC9wU4ItXasOfg22pOz2YHt5W26rSent0hPTmCZ77kqlhZUKuTk+64Sqb2annpas9PPqpifV7GQ1dGTb1GpuKDFhWnF4ruUHjioWN+QQk5Uhy97TW2rsWY9Oeu+XtZS7dU8zqy8whpt+cktPd2Ts8kuTnpyYifx3KKKxQV5bkElN6++viFJ0uTFR1UqLcotLSiZHtPgyHE9/fg35XklOeE+9cWHlOgfUyTar4HhyxSOJBWJJuWEHEXCMSXSu6tepTakas7etMrVXk3oVU5qUyX0LLvq8Vbz0FvZc1T3JgOWUwUxrdozyZqCbzO6tFQ/put7cq5xFyc9ObEVfN+XZVny3KI8ryTPK8n3PUUiSbluUYsLk0u3uYr1DSkSTSpz/mG5Xnn7aDStwZHjOn/2R5rPjstzC/I8V8eu+E3NTp9W5sLDskMROU5U4b1XKxJNyQlHFY31ywnHFIn1S5KOHH9Dw+c4nmx1skzjZ7pyj2U37r6sCr3KdpvcYWUru7SgNwQG333fuKFT49gClsoLe6rfYv82jQVY3WM/u0fZ+YJ839PA0LGl6uoeFQvz8n1P0Vi/Dl96qy6O/1QzU88unfDl6NAlt6hQyGry4qPlJsy2I8fpUySaki9PjhOTbTuKRMvr3XYNHVX/4GHZoYhCdnjptku0a+iSmvFYlqWh0SsaxtkqMJYzrd0zuys/N9nFWf88DZcu20C11w6qvZ3N8n2f0gEAYAyaxAEAjBK4q/NlbzzVqXEARuntwwhAb6PiAwAYheADABiF4AMAGIXgAwAYheADABiF4AMAGIXgAwAYheADABiF4AMAGGXLL0vUC878/MOK91+joQPvrrnd90o699jH5JbmNHb5XyvkJGrv912de+yT8t2c9p34nOan7lfm9B0Nz2/ZMYWje5QevVXJoZc3HcPM+XuUnfxvjZ24veV4L/7yHzQ/9QPtufRTiiUvq7nPLc3qzEN/oOFDf6Tk0K9VjbWkuYvfUXby+younpNl2QrH9is5fKOSg69YujxM2dS5r2pm/OvV76D8HmJjSg3fpOTQjTVNg8/87INyi5Orjnfk8B8rMXCdJKmwcEZTZ+9UPveUJEuxxKUa2P8OhaOjLd83AGwGgi+AZTsaOvg+jT/xZ5o+9y8aOvj7NffPXviWigvPavfRj8sOxSq37z76MVnLP/u+3OK0Zi98UxPP/qNC4bT60lfXPM/81P9o6uydCvftX8PofGVOf0H7jt8uyw6eRs9d1Plf/JUK879QauTVGtj32/J9VwuzDylz+ovKTf1Qo0f+RNZSx/7ye49p97GPVd6D52aVm35QmdN3qLDwTMMvCfGB65UevbXp64ejeyVJpeK0xp/8rMLRfRo++H75vqvp8X/X+BOf0djln5cdiq/h/QPA+hB8LcSSlyo1fIvmJr6t5NANiibKl3ApFSY0/fy/KTn8SvWlT9Y8JhI/0lAd9qVP6vRDH1A28/1K8HluTtPP36XZC99a85e+ZfepuHhO0+Nf18C+3wrcdvLsV1SYf0p7Lv1UZfySFO+/Rn3pF+rCLz6vqef/VYNjb69+AcUSx2qeJ97/IoWctGbO363ErusVS52o3BdydjVsXy+bOSXfd7X76Ecr7zeaOKbnfv5BzU/dr9Twze2+fQBYN47xtWFg7G0KhQeUOf1F+X75yuqZM1+SHUpqcOx32noOywrLsmp/z5ib+E/NT92vkcMfUl/6hWsakxMdVXL4lZo5f7cKC8+tul2pOK3sxCmlRm6pCb1l8f6rlRh4qeYu3CvPXWj5uv173iTLCmsu8901jVeSnMiI+kdfXxPyTmRAlh1TKX9xzc8HAOtB8LXBDsU1dOBdKiw8o2zmlHIz/6eFmR9r6OB7VqnUPPm+W/7jFVXMn9fE6Tvke3klBl9W2Sq+61c1dsXfKDFw/brGNTj2doWclDKnv6DVLqu4OPeIJDcwWOMD18r3C1qce7jla9qhuCLxI8rPP1l3j7/ynmv+eJUtkoMv1a69b64b36PyvQWFY/tavjYAbAZ2dbYpvuvFiu+6VlPnvio71Kfk4CsU728eJmce+kDDbeHYfo0cLp9EU7ktuntDY7JDcQ3uf6cu/vJvNTfxbaVHXtWwTalQrqScyPCqz+NERpa2nWjrdUPhtAoLz9bcNnfxXs1dvLfJtoM6cOXfN30etzSvzOkvyomMKL7O8AeAtSL41mDwwDt19pGPyvcsDez/3VW3233sk7LtWPkY3vhdcgsZjRz+oCJ9B9f0euVqqbqSs2rOvpSkxMC1mp98sabO3ql4/4tqTlBZepalh4ZWfR0r4L52JQZeqvTo65o8d/P/Ym4pq/NPfU6l4qT2HPuEbDuy4TEAQDsIvjVwwgOKxPbLdlINJ69Ui/QdqtwfTRzVucc+ofNP/aX2Hb9doXB/2683/sRnlJ9/ovJzcuhGDR96f8N2gwfepbOPfFSZM1/S8KH31Y55qZpzC5lVlwwsV4WhyFBb4yoVphQKD9TcZjtpRRNH2nz8RDn0ChmNXvKRpsceAWCrEHxbzA7FNHzwvRp/8s+VOfNljR75cNuPHT70fnnuYuXnkJNqup0TGdTA2G2aPPNPmp+6qua+vvRVkhXS/PQPa87CrJabflCWFVZf6oqWY3JL8yosPKtk1bHKtSguPq/xJ/9CvlfQnmOfIPQAdBwnt3RALHVC8V3XKzf9gBbnHm37ceHYPkUTRyp/nOjIqtumhm9RNHGpps7eWXN7yElVlmMsZh9veNzC3MPKZv5LqZFXtbWkYvbCPZJfVHL4prbfxzK3lNX4U7dL8rXnsk8TegC2BRXfkkLutGYufKvh9sTAS+SEd234+QfGblNu5keafO6ftff4ZxuO1W2UZVkaOvhenXvs401fu7h4TuefvF2p0deoL1Ved7gw+5BmL/6H+tJXamDf22of5HtaXD5z0/flleaUm/mxspnvKT16a8OaPbc0vbJ9nZDTr3B0VNPnvia3MKHB/e+U5+ZqtnecXYHBDgCbheBbkp9/XPn5xooomji6KcEXjo4qPfJqzV64p1xhDd+44eesF+nbr/7db9LM+F01t9t2VLuP/qmyme9qbuKU5ia+U94+tl9DB96t5NArGoLY9xY1/vinl36yZDtpRWJjGjn8oabLL3JTDyg39UDTcSWHb9bwwfcoN/MjSdLkc19u2CY18loNHfi9tb5lAFgzy19tAZikl73xVCfHAhjjvm/csN1DAIzFMT4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUZygOy3L6tQ4AADoCCo+AIBRCD4AgFEIPgCAUQg+AIBRCD4AgFEIPgCAUYKXM9jkIgBgZyHZAABGIfgAAEYJ3NVp23RuAQDsLFR8AACjEHwAAKNwVicAwChcnQEAYBRKOgCAUdjVCQAwCskGADBKi4qPY3wAgJ2FXZ0AAKMEd27hrE4AwA5DxQcAMArH+AAARmEBOwDAKIHBF3JCnRoHAAAdEXxyS4jgAwDsLFR8AACjtKj4OKsTALCzBFd8BB8AYIcJrvjY1QkA2GGo+AAARgkMvkgs3KlxAADQEVR8AACjBAafE+YYHwBgZyH4AABGCQy+cITgAwDsLMEVn8MxPgDAzhIYfIkEZ3UCAHaWwOCLRqn4AAA7S/AxvjDX4wMA7CzBFV+E4AMA7Cwtgq9TwwAAoDOCg49zWwAAO0xg8PUn3E6NAzBM4EcPwBYKrvgcr1PjAACgI1oEHxUfAGBnCQy+WKjUqXEAANARwRVfqNipcQAA0BHBF6K1C50aBwAAHRFc8dn5To0DG5Sdm1MyldruYQBA1wsMvlRxqlPjwAZ85FOf1akfPKAPvOsdeu87btvu4aAth7Z7AICxgnt1lhY6NQ6sU2Z6Rt+7735J0t3fvFd/eNuvb/OIAKC7BV+Pr5jr1DiwXgtzlX+WikXmDABaCAy+UIGKr9uFiotVP/nMGQC0EBh8Nl+iXc+qDj7fZ84AoIUWwbcYdDe6gF1YOfPWks+cAUALgcFnzXJWZ7ezsivH+OR5zBkAtBAYfH6e6qHb+VUVn3yfOQOAFgi+Hufnq5sMEHwA0Epg8HmLfIl2u+qg832fOQOAFlpUfPTq7HZ+oaqRuM+cAUArgcHnLtKrs9u51UHn+8wZALQQGHzF2WynxoF1Ks7X7upkzgAgWHDFV+BCtN3OK7orP/g+cwYALQQHH8eLup5bqN7VyZwBQCtUfD3OLaxUfL6o+ACgFYKvx3nFqjnymTMAaCV4HV/JDbobXaB+jpgzAAgWfFZnjlPju10xv7KOz/d95gwAWgje1Vn0OjUOrJNXqpojnzkDgFbY1dnjaoJPPnMGAC1Q8fU4l4oPANaEiq/H+aXq5QzMGQC0QsXX46j4AGBtgiu+ItVDt2s4xsecAUCgFgvYqR66neuuzJHvM2cA0Erw9fg8v1PjwHrVzRFzBgDBgnd1unyJdruaOfKZMwBoJbji40u069VXeMwZAAQLrvg8jhd1u/o5Ys4AIFhwxVekeuh2vl+9q9NnzgCghRYL2PkS7Xb157IwZwAQzN7uAQAA0Ens6uxxvvyqfzNnANAKFR8AwCgc4+txvvyVWWQdHwC0xK7OHlcTfGLOAKAVdnUCAIxC8AEAjMIxvh7nWXW9OpkzAAhExQcAMArBBwAwCsEHADAKyxl6nG/VXZaIOQOAQFR8AACjEHwAAKMQfAAAoxB8AACjEHwAAKMEd27hDMGu59l1nVuYMwAIRMUHADAKwQcAMArBBwAwCsEHADAKwQcAMArBBwAwCsEHADAKwQcAMArBBwAwSmDnFnSvRcvXV1J5Fauux+fK19/tWtBYydZbshFZsrZxhADQnQi+HvVgrKQf9pVqbsvZ0sNRVw9HXV236Gh/KbRNowOA7sWuzh61p9Q4de5SgRf2pQGXqQWAZvh27FGXFG0dLTSfvhtzYSV8dnMCQDMEX4+yZOmN2UjD7WFfenUuvA0jAoDeQPD1sMuKIb2gruq7MRdW2mNaAWA1fEP2MEuWXjdfVfVR7QFASwRfj7uqENKxgq2QL91MtQcALbGcocdZsvSRqfh2DwMAegblAQDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCgEHwDAKAQfAMAoBB8AwCiW7/v+dg8CAIBOoeIDABiF4AMAGIXgAwAYheADABiF4AMAGIXgAwAY5f8Bx84XGHjlCZcAAAAASUVORK5CYII=\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -577,390 +515,603 @@
],
"source": [
"nn_graph_draw2d(\n",
- " ([[2,-0.5],[0,-2]], [0, 0], tanh), # LYR1\n",
- " ([[+1,-1]], [-1], tanh) # LYR2\n",
+ " ([[2, 0],[-1, -2]], [0, 0], tanh), # LYR1\n",
+ " ([[1], [-1]], [-1], tanh) # LYR2\n",
")"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "The histogram on the second layer shows the distribution of\n",
+ "The histogram on the second layer plot shows the distribution of\n",
"$$\n",
- "s = W \\mathbf{y} + \\mathbf{b}\n",
+ "s = X W + b\n",
"$$\n",
- "feeding its activation function (shown as the dashed curve). Note how the central histogram peak is higher because both the lower-right and upper-left quadrants of $(x_1, x_2)$ have $W \\mathbf{y} \\simeq 0$. The vertical line shows how our choice of $\\mathbf{b}$ places these quadrants in the \"rejected\" category, with $s < 0$ and therefore $z \\simeq -1$.\n",
+ "feeding its activation function (shown as the dashed curve). Note how the central histogram peak is higher because both the lower-right and upper-left quadrants of $(x_1, x_2)$ have $Y W \\simeq 0$. The vertical white line shows how our choice of bias $b = -0.5$ places these quadrants in the \"rejected\" (blue) category with $s < 0$.\n",
"\n",
- "---"
+ "Generalizing this example, a layer with $n$ inputs can \"select\" a different $n$-sided (soft-edged) polygon with each of its outputs. To see this in action, try [this demo](https://cs.stanford.edu/people/karpathy/convnetjs/demo/classify2d.html)."
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
+ "metadata": {},
"source": [
- "**EXERCISE:** Design a two-layer neural network with two inputs $(x_1, x_2)$ and a single output $z$ such that $z \\simeq 1$ for a square region surrounding the origin and $z\\simeq 0$ outside this square."
+ "### Data Flow Perspective"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "We will need four features $(y_1, y_2, y_3, y_4)$ in the hidden layer in order to define the edges of the square region.\n",
+ "The diagram below show the tensors flowing forward (left to right) in a typical fully connected graph. The main flow consists of $N$ input samples flowing from $X_0$ to $X_4$ with a number of features that varies between layers:\n",
+ "$$\n",
+ "X_{n+1} = \\phi\\left( X_n\\cdot W_{n+1} + \\mathbf{b}_{n+1}\\right) \\; .\n",
+ "$$\n",
"\n",
- "The output layer will need a sigmoid activation, but the hidden layer could use any of the bounded activations.\n",
+ "The computation of each layer's output is parameterized by the weight and bias tensors shown: note how their shapes are determined by the number of input and output features for each layer. The parameter tensors are usually randomly initialized (more on this soon) so only the input $X_0$ and target $Y$ are needed to drive the calculation (and so must be copied to GPU memory when using hardware acceleration).\n",
"\n",
- "Note that increasing $W$ and $\\mathbf{b}$ by the same factor sharpens the activation's transition without changing its location."
- ]
- },
- {
- "cell_type": "code",
+ "The final output $X_4$ is compared with the target values $Y$ to calculate a \"loss\" $\\ell(X_4, Y)$ that decreases as $X_4$ becomes more similar to $Y$ (more on this soon).\n",
+ "\n",
+ "\n",
+ "\n",
+ "The diagram below shows the gradient (partial derivative) tensors flowing backwards (\"backpropagation\") through the same graph using the chain rule:\n",
+ "$$\n",
+ "\\frac{\\partial \\ell}{\\partial X_n} = \\frac{\\partial \\ell}{\\partial X_{n+1}} \\frac{\\partial X_{n+1}}{\\partial X_n}\n",
+ "\\quad, \\quad\n",
+ "\\frac{\\partial \\ell}{\\partial W_{n+1}} = \\frac{\\partial \\ell}{\\partial X_{n+1}} \\frac{\\partial X_{n+1}}{\\partial W_{n+1}} \\; .\n",
+ "$$\n",
+ "\n",
+ "\n",
+ "\n",
+ "Note that these gradient tensors are just numbers, not functions. All of these tensors occupy the (limited) GPU memory when using hardware acceleration but, in most applications, only the final output and the parameter gradients are stored (with 32-bit floating point precision).\n",
+ "\n",
+ "When working with large datasets, the $N$ input samples are usually broken up into fixed-size randomly subsampled \"minibatches\". Optimiztion with the resulting parameter gradients leads to the \"stochastic gradient descent\" (SGD) algorithm."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### PyTorch Primer"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "A fully connected network can be created with a few lines in PyTorch (for a similar high-level API in Tensorflow checkout [Keras](https://www.tensorflow.org/guide/keras)):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "torch.manual_seed(123)\n",
+ "\n",
+ "net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(8, 4), #0\n",
+ " torch.nn.ReLU(), #1\n",
+ " torch.nn.Linear(4, 3), #2\n",
+ " torch.nn.ReLU(), #3\n",
+ " torch.nn.Linear(3, 2) #4\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "As each `Linear` layer is created, its weight and bias tensors are automatically initialized with random values, so we initially set the torch random seed for reproducible results.\n",
+ "\n",
+ "This construction breaks each layer into separate linear and activation \"modules\". Each module can be accessed via its index (0-4 in this example):"
+ ]
+ },
+ {
+ "cell_type": "code",
"execution_count": 15,
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Sequential(\n",
+ " (0): Linear(in_features=8, out_features=4, bias=True)\n",
+ " (1): ReLU()\n",
+ " (2): Linear(in_features=4, out_features=3, bias=True)\n",
+ " (3): ReLU()\n",
+ " (4): Linear(in_features=3, out_features=2, bias=True)\n",
+ ")\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(net)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
"text/plain": [
- ""
+ "Parameter containing:\n",
+ "tensor([[-0.4228, -0.1435, -0.3521, 0.0331],\n",
+ " [-0.0934, -0.2682, -0.0455, 0.4737],\n",
+ " [-0.0394, 0.0159, -0.0780, 0.0786]], requires_grad=True)"
]
},
+ "execution_count": 16,
"metadata": {},
- "output_type": "display_data"
+ "output_type": "execute_result"
}
],
"source": [
- "nn_graph_draw2d(\n",
- " ([[8,0],[-8,0],[0,8],[0,-8]], [10,10,10,10], sigmoid), # LYR1\n",
- " ([[5,5,5,5]], [-18], sigmoid) # LYR2\n",
- ")"
+ "net[2].weight"
]
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 17,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "Parameter containing:\n",
+ "tensor([0.4928, 0.0345], requires_grad=True)"
+ ]
+ },
+ "execution_count": 17,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
- "# Add your solution here..."
+ "net[4].bias"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "### Optimization"
+ "To run our network in the forward direction, we need some data with the expected number of features ($D=8$ in this example):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "N = 100\n",
+ "D = net[0].in_features\n",
+ "Xin = torch.randn(N, D)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "Xout = net(Xin)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "In the last exercise, you created a classifier to identify points $(x_1, x_2)$ within a box by adjusting the network's parameters by hand. However, this is obviously not practical for more complex problems. To automate this procedure, we need two new ingredients:\n",
- " - Training data $D = (X, Y)$ for supervised learning of the network parameters.\n",
- " - A **loss function** that we can optimize over the parameter space.\n",
- " \n",
- "For our data, we will re-use the `circles` example from [earlier](Nonlinear.ipynb):"
+ "The intermediate tensors ($X_1$, $\\partial\\ell/\\partial X_1$, ...) shown in the data flow diagrams above are usually not preserved, but can be useful to help understand how a network is performing and diagnose problems. To cache these intermediate tensors, use:"
]
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
- "X = pd.read_hdf(locate_data('circles_data.hf5')).values\n",
- "Y = pd.read_hdf(locate_data('circles_targets.hf5')).values"
+ "mls.torch.trace(net)"
]
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 21,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "Xout = net(Xin)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Each submodule now has `input` and `output` attributes:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
"text/plain": [
- ""
+ "True"
]
},
+ "execution_count": 22,
"metadata": {},
- "output_type": "display_data"
+ "output_type": "execute_result"
}
],
"source": [
- "def plot_circles():\n",
- " cmap = sns.color_palette('colorblind', 2)\n",
- " c = [cmap[int(y)] for y in Y]\n",
- " plt.scatter(X[:, 0], X[:, 1], c=c)\n",
- " plt.gca().set_aspect(1)\n",
- " \n",
- "plot_circles()"
+ "torch.equal(Xin, net[0].input)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "True"
+ ]
+ },
+ "execution_count": 23,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "torch.equal(net[0].output, net[1].input)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "We have already seen that a network with a single four-node hidden layer is sufficient to solve this problem. To build this architecture in a tensorflow graph, use:"
+ "Use the `verbose` option to watch the flow of tensors through the network:"
]
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 24,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0: IN (100, 8) OUT (100, 4)\n",
+ "1: IN (100, 4) OUT (100, 4)\n",
+ "2: IN (100, 4) OUT (100, 3)\n",
+ "3: IN (100, 3) OUT (100, 3)\n",
+ "4: IN (100, 3) OUT (100, 2)\n"
+ ]
+ }
+ ],
"source": [
- "graph = tf.Graph()\n",
- "with graph.as_default():\n",
- " # Feed the input layer from an external dataset.\n",
- " X_train = tf.placeholder(tf.float32, [None, 2])\n",
- " # Define the hidden layer.\n",
- " W_hidden = tf.Variable([[8.,0.],[-8.,0.],[0.,8.],[0.,-8.]])\n",
- " b_hidden = tf.Variable([10.,10.,10.,10.])\n",
- " hidden = tf.sigmoid(tf.transpose(tf.matmul(W_hidden, X_train, transpose_b=True)) + b_hidden)\n",
- " # Define the output layer.\n",
- " W_out = tf.Variable([[5.,5.,5.,5.]])\n",
- " b_out = tf.Variable([-18.])\n",
- " y_out = tf.sigmoid(tf.transpose(tf.matmul(W_out, hidden, transpose_b=True)) + b_out)\n",
- " # Initialize all parameters.\n",
- " initialize = tf.global_variables_initializer()"
+ "mls.torch.trace(net, verbose=True)\n",
+ "Xout = net(Xin)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "To run all samples in $X$ through this network, evaluate `out` in a session using this graph:"
+ "To complete the computational graph we need to calculate a (scalar) loss, for example:"
]
},
{
"cell_type": "code",
- "execution_count": 20,
- "metadata": {
- "scrolled": false
- },
- "outputs": [],
+ "execution_count": 25,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "tensor(0.1996, grad_fn=)\n"
+ ]
+ }
+ ],
"source": [
- "with tf.Session(graph=graph) as session:\n",
- " session.run(initialize)\n",
- " Y_out = session.run(y_out, feed_dict={X_train: X})"
+ "loss = torch.mean(Xout ** 2)\n",
+ "print(loss)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "Since we initialized the network parameters based on the example above, it already does a perfect job of classifying the training data:"
+ "We can now back propagate gradients of this loss through the network:"
]
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "4: GRAD (100, 2)\n",
+ "3: GRAD (100, 3)\n",
+ "2: GRAD (100, 3)\n",
+ "1: GRAD (100, 4)\n",
+ "0: GRAD (100, 4)\n"
+ ]
+ }
+ ],
+ "source": [
+ "loss.backward()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The gradients of each layer's parameters are now computed and stored, ready to \"learn\" better parameters through (stochastic) gradient descent (or one of its variants):"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
"text/plain": [
- ""
+ "tensor([-0.0285, -0.0276, -0.0335, 0.0646])"
]
},
+ "execution_count": 27,
"metadata": {},
- "output_type": "display_data"
+ "output_type": "execute_result"
}
],
"source": [
- "plt.scatter(Y, Y_out, s=100, marker='o', alpha=0.2);\n",
- "plt.xlabel('Target value')\n",
- "plt.ylabel('Network output');"
+ "net[0].bias.grad"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "### Loss Functions"
+ "Using `mls.torch.trace` we have also captured the gradients of the loss with respect to each module's outputs $\\partial\\ell /\\partial X_n$:"
]
},
{
- "cell_type": "markdown",
+ "cell_type": "code",
+ "execution_count": 28,
"metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(torch.Size([100, 4]), torch.Size([100, 4]))"
+ ]
+ },
+ "execution_count": 28,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
"source": [
- "In order discover a good set of parameters using optimization, we need to specify a loss function to minimize. Our choice of goal function will depend on whether we are solving a regression or classification problem."
+ "net[0].output.size(), net[0].grad.size()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "#### Regression Loss"
+ "These gradients can be useful to study since learning of all upstream parameters effectively stops when they become vanishly small (since they multiply those parameter gradients via the chain rule)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "For regression, the $L_2$ norm is a popular choice,\n",
- "$$\n",
- "L_2(\\Theta) \\equiv \\frac{1}{2}\\, \\sum_{i=1}^N\\, \\left[\n",
- "y^\\text{out}_i(\\Theta) - y^\\text{train}_i\\right]^2 \\; .\n",
- "$$\n",
- "The equivalent tensorflow code is:\n",
- "```\n",
- "y_train = tf.placeholder(tf.float32, [None, 1])\n",
- "loss = tf.nn.l2_loss(y_out - y_train)\n",
- "```\n",
- "Optimizing the $L_2$ norm is equivalent to finding the maximum-likelihood (ML) point estimate if we assume that all $y^{out}_i - y^{train}_i$ are drawn from the same Gaussian distribution with $\\mu = 0$:\n",
- "$$\n",
- "P(y^{train}\\mid y^{out}(\\Theta)) = \\frac{1}{\\sqrt{2\\pi}\\sigma}\\, \\exp\\left[ -\\frac{(y^\\text{out}(\\Theta) - y^\\text{train})^2}{2\\sigma^2} \\right] \\; .\n",
- "$$\n",
- "In this case,\n",
- "$$\n",
- "L_2(\\Theta) = -\\sigma^2 \\left[ \\log P(D\\mid\\Theta) + \\frac{N}{2} \\log(2\\pi\\sigma^2)\\right] \\; ,\n",
- "$$\n",
- "and the $L_2(\\Theta)$ and likelihood $P(D\\mid\\Theta)$ functions share the same optimum (minimum $L_2$ or maximum likelihood) since $\\sigma$ only applies an offset and scaling.\n",
- "\n",
- "Note that the $L_2$ norm is often used in regressions where it is not equivalent to a ML point estimate, for example with heteroscedastic or non-Gaussian uncertainties, which can result in non-optimal weighting of the training data and biases in the optimal parameters."
+ "### Statistical Perspective"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "#### Binary Classification Loss"
+ "The tensors behind a practical network contain so many values that it is usually not practical to examine them individually. However, we can still gain useful insights if we study their probability distributions.\n",
+ "\n",
+ "Build a network to process a large dataset so we have some distributions to study:"
]
},
{
- "cell_type": "markdown",
+ "cell_type": "code",
+ "execution_count": 29,
"metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Sequential(\n",
+ " (0): Linear(in_features=100, out_features=200, bias=True)\n",
+ " (1): Tanh()\n",
+ " (2): Linear(in_features=200, out_features=100, bias=True)\n",
+ " (3): ReLU()\n",
+ " (4): Linear(in_features=100, out_features=10, bias=True)\n",
+ ")\n"
+ ]
+ }
+ ],
"source": [
- "For binary classification problems, the L2 norm can also be used but the [cross entropy](https://en.wikipedia.org/wiki/Cross_entropy) between the target and output probability distributions is often a better choice:\n",
- "$$\n",
- "E(\\Theta) \\equiv -\\sum_{i=1}^N\\, \\left[\n",
- "y^{train}_i \\log \\phi_S(y^{out}_i) + (1 - y^{train}_i) \\log (1 - \\phi_S(y^{out}_i)) \\right]\n",
- "$$\n",
- "where $\\phi_S$ is the sigmoid (aka logistic) activation function. The equivalent tensorflow code is:\n",
- "```\n",
- "y_train = tf.placeholder(tf.float32, [None, 1])\n",
- "loss = tf.losses.sigmoid_cross_entropy(multi_class_labels=y_train, logits=y_out)\n",
- "```\n",
- "The term [logit](https://en.wikipedia.org/wiki/Logit) simply means a value $s$ for which $\\phi_S(s)$ should be interpreted as a probability. Note that tensorflow incorporates the sigmoid activation into the definition of the loss function, so it should not be also applied to the output layer.\n",
+ "torch.manual_seed(123)\n",
"\n",
- "The cross entropy is inspired by information theory and closely related to the KL divergence we met [earlier](Variational.ipynb). With this approach, our assumptions are that:\n",
- " - The target values $y^{train}_i$ are all either 0 or 1.\n",
- " - The network output values $y^{out}_i$ are continuous and $\\phi_S(y^{out}_i)$ is interpreted as the corresponding probability that the output is 1.\n",
- " \n",
- "Note that *something* like the second assumption is necessary to reconcile the different domains of the data and prediction.\n",
+ "N, D = 500, 100\n",
+ "Xin = torch.randn(N, D)\n",
"\n",
- "With these assumptions, the likelihood is:\n",
- "$$\n",
- "P(y^{train}\\mid y^{out}(\\Theta)) = \\begin{cases}\n",
- "\\phi_S(y^{out}(\\Theta)) & y^{train} = 1 \\\\\n",
- "1 - \\phi_S(y^{out}(\\Theta)) & y^{train} = 0\n",
- "\\end{cases}\n",
- "$$\n",
- "Take a minute to convince yourself that the following expression is equivalent (the case $\\phi_S(y^{out}(\\Theta)) = y^{train} = 0$ requires some care since $0^0$ is indeterminate):\n",
- "$$\n",
- "P(y^{train}\\mid y^{out}(\\Theta)) = \\left[\\phi_S(y^{out}(\\Theta))\\right]^{y^{train}}\\,\n",
- "\\left[1 - \\phi_S(y^{out}(\\Theta))\\right]^{1-y^{train}} \\; .\n",
- "$$\n",
- "Using this form, it is clear that the cross entropy loss $E(\\Theta)$ equals the negative-log-likelihood of the $N$ samples of training data,\n",
- "$$\n",
- "E(\\Theta) = -\\log P(D\\mid \\Theta) \\; ,\n",
- "$$\n",
- "so optimizing $E(\\Theta)$ is equivalent to finding the ML point estimation under the assumptions above.\n",
+ "net = torch.nn.Sequential(\n",
+ " torch.nn.Linear(D, 2 * D),\n",
+ " torch.nn.Tanh(),\n",
+ " torch.nn.Linear(2 * D, D),\n",
+ " torch.nn.ReLU(),\n",
+ " torch.nn.Linear(D, 10)\n",
+ ")\n",
+ "print(net)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note that our network ends with a `Linear` module instead of an activation, which is typical for regression problems.\n",
"\n",
- "For fixed training data, optimizing $E(\\Theta)$ is also equivalent to minimizing the KL divergence of the network's predicted discrete probability distribution with respect to the empirical discrete probability distribution of the training data. Therefore, training a binary classification network using the cross-entropy loss is effectively performing a variational inference (VI) to find the network probabilities that are closest to the empirical training probabilities."
+ "Perform forward and backward passes to capture some values:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "mls.torch.trace(net, verbose=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0: IN (500, 100) OUT (500, 200)\n",
+ "1: IN (500, 200) OUT (500, 200)\n",
+ "2: IN (500, 200) OUT (500, 100)\n",
+ "3: IN (500, 100) OUT (500, 100)\n",
+ "4: IN (500, 100) OUT (500, 10)\n",
+ "4: GRAD (500, 10)\n",
+ "3: GRAD (500, 100)\n",
+ "2: GRAD (500, 100)\n",
+ "1: GRAD (500, 200)\n",
+ "0: GRAD (500, 200)\n"
+ ]
+ }
+ ],
+ "source": [
+ "Xout = net(Xin)\n",
+ "loss = torch.mean(Xout ** 2)\n",
+ "loss.backward()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "#### Multi-category Classification Loss"
+ "First check that the input to the first module has the expected (unit normal) distribution:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(net[0].input.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "How can we generalize the binary classification cross-entropy loss $E(\\Theta)$ to problems with more than two categories? The usual approach is to increase the number of output features from 1 to the number of categories $C$,\n",
- "$$\n",
- "\\mathbf{y} = [ y_1, y_2, \\ldots, y_C ] \\; .\n",
- "$$\n",
- "Our network must now have $C$ output nodes, one for each category, but we can not directly interpret their values as category probabilities since there is no way to ensure that they sum to one. We could simply require that they are all non-negative and renormalize, but a more more robust approach is to convert a vector of output values $\\mathbf{y}^{out}$ to a corresponding vector of probabilities $\\mathbf{p}$ for category $j = 1, 2, \\ldots, C$ using the **softmax function**,\n",
- "$$\n",
- "\\mathbf{p}(\\mathbf{y}) \\equiv \\frac{1}{\\sum_{k=1}^C\\, e^{y_k}}\\, [ e^{y_1}, e^{y_2}, \\ldots, e^{y_C} ] \\; ,\n",
- "$$\n",
- "which works fine with postive or negative outputs $y_j$. Note that softmax generalizes the sigmoid function $\\phi_S$ in the following sense:\n",
- "$$\n",
- "\\mathbf{p}([y_1, y_2]) = [\\,\\phi_S(y_1-y_2)\\,,\\, 1 - \\phi_S(y_1-y_2)\\,] \\; .\n",
- "$$"
+ "How does torch initialize the parameters (weights and biases) for each layer?"
]
},
{
"cell_type": "code",
- "execution_count": 22,
+ "execution_count": 33,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "def softmax(y):\n",
- " # subtract out max(y) improve the numerical accuracy\n",
- " expy = np.exp(y - np.max(y))\n",
- " return expy / expy.sum()"
+ "plt.hist(net[0].weight.data.reshape(-1), bins=50);"
]
},
{
"cell_type": "code",
- "execution_count": 23,
+ "execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
+ "image/png": "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\n",
"text/plain": [
- "array([ 0.26538793, 0.01321289, 0.72139918])"
+ ""
]
},
- "execution_count": 23,
"metadata": {},
- "output_type": "execute_result"
+ "output_type": "display_data"
}
],
"source": [
- "softmax([2, -1, 3])"
+ "plt.hist(net[0].bias.data, bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The softmax function effectively implements a *winner takes all* policy, similar to the sigmoid activation $\\phi_S$, as illustrated in the plot below where:\n",
- " - the color scale indicates, from left to right, $p_1, p_2$ and $p_3$ for three categories,\n",
- " - $y_1$ and $y_2$ are varied over the same range, and\n",
- " - $y_3$ is fixed to the middle of this range."
+ "These initial parameter values are sampled from uniform distributions centered on zero with a spread that depends on the number of inputs to the layer:\n",
+ "$$\n",
+ "\\left|W_{ij}\\right|, \\left|b_j\\right| \\le n_{in}^{-1/2} \\; .\n",
+ "$$\n",
+ "This default choice is based on [empirical studies](https://arxiv.org/abs/1502.01852) of image classification problems where the input features (RGB pixel values) were preprocessed to have zero mean and unit variance.\n",
+ "\n",
+ "With this choice of weights, the first `Linear` module mixes up its input values ($X_0$) but generally preserves Gaussian shape while slightly reducing its variance (which helps prevent the subsequent activation module from saturating):"
]
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": "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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -968,40 +1119,26 @@
}
],
"source": [
- "def plot_softmax(ylo, yhi, n=100):\n",
- " y_grid = np.linspace(ylo, yhi, n)\n",
- " y3 = 0.5 * (ylo + yhi)\n",
- " p_grid = np.array([softmax([y1, y2, y3]) for y1 in y_grid for y2 in y_grid]).reshape(n, n, 3)\n",
- " _, ax = plt.subplots(1, 3, figsize=(10.5, 3))\n",
- " for k in range(3):\n",
- " ax[k].imshow(p_grid[:, :, k], interpolation='none', origin='lower', extent=[ylo, yhi, ylo, yhi])\n",
- " ax[k].set_xlabel('$y_1$')\n",
- " ax[k].set_ylabel('$y_2$')\n",
- " if k != 0: ax[k].axvline(y3, c='gray', ls='--')\n",
- " if k != 1: ax[k].axhline(y3, c='gray', ls='--')\n",
- " if k != 2: ax[k].plot([ylo, yhi], [ylo, yhi], c='gray', ls='--')\n",
- " ax[k].grid('off')\n",
- " \n",
- "plot_softmax(0, 15)"
+ "plt.hist(net[0].output.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The example above assumed output activations that can be large an positive, such as `relu` or `elu`. However, the strength of the *winner takes all* effect depends on how the outputs are scaled, and is relatively weak for output activations that saturate on both sides, such as `sigmoid` or `tanh`, which is why these are generally not used for classification outputs:"
+ "A scatter plot of the the first `Tanh` activation function's input and output values just traces out the function since it is applied element wise. Note how most of input values do not saturate, which is generally desirable for efficient learning."
]
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -1009,205 +1146,154 @@
}
],
"source": [
- "plot_softmax(-1, +1)"
+ "plt.scatter(net[1].input.reshape(-1), net[1].output.reshape(-1), s=1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The multi-category likelihood is then:\n",
- "$$\n",
- "P(\\mathbf{y}^{train}\\mid \\mathbf{y}^{out}(\\Theta)) =\n",
- "\\begin{cases}\n",
- "p_1(y^{out}_1(\\Theta)) & \\mathbf{y}^{train} = [1,0,0,\\ldots] \\\\\n",
- "p_2(y^{out}_2(\\Theta)) & \\mathbf{y}^{train} = [0,1,0,\\ldots] \\\\\n",
- "\\quad\\vdots \\\\\n",
- "p_C(y^{out}_C(\\Theta)) & \\mathbf{y}^{train} = [\\ldots,0,0,1]\n",
- "\\end{cases} \\; ,\n",
- "$$\n",
- "and generalizes the binary classification likelihood above.\n",
- "\n",
- "Note that we assume **one-hot encoding** of the vector target values $\\mathbf{y}^{out}$, which is not very efficient (unless using sparse-optimized data structures) compared to a single integer target value $y^{train} = 0, 1, \\ldots, C-1$. However, sklearn has a [convenient utility](http://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.OneHotEncoder.html) to convert integers to one-hot encoded vectors (use `sparse=True` to return vectors in an efficient [scipy sparse array](https://docs.scipy.org/doc/scipy/reference/sparse.html)):"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 26,
- "metadata": {},
- "outputs": [],
- "source": [
- "from sklearn import preprocessing"
+ "The non-linear activation distorts and clips the output so it no longer resembles a Gaussian:"
]
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
+ "image/png": "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\n",
"text/plain": [
- "array([[ 1., 0., 0., 0.],\n",
- " [ 0., 1., 0., 0.],\n",
- " [ 0., 0., 0., 1.]])"
+ ""
]
},
- "execution_count": 27,
"metadata": {},
- "output_type": "execute_result"
+ "output_type": "display_data"
}
],
"source": [
- "preprocessing.OneHotEncoder(n_values=4, sparse=False).fit_transform([[0],[1],[3]])"
+ "plt.hist(net[1].output.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "As in the binary case, we can rewrite the likelihood for a single training sample as\n",
- "$$\n",
- "P(\\mathbf{y}^{train}\\mid \\mathbf{y}^{out}(\\Theta)) = \\prod_{j=1}^C\\,\n",
- "\\left[ p_j(y^{out}_j(\\Theta))\\right]^{y^{train}_j}\\,\n",
- "\\left[ 1 - p_j(y^{out}_j(\\Theta))\\right]^{1 - y^{train}_j} \\; ,\n",
- "$$\n",
- "which leads to a negative-log-likelihood for the $N$ samples (indexed by $i$) of the whole training dataset of\n",
- "$$\n",
- "\\begin{aligned}\n",
- "-\\log P(D\\mid\\Theta) &= -\\sum_{i=1}^N \\sum_{j=1}^C\\, \\left[\n",
- "y^{train}_{ij} \\log p_j(\\mathbf{y}^{out}_i(\\Theta)) +\n",
- "(1 - y^{train}_{ij}) \\log \\left( 1 - p_j(\\mathbf{y}^{out}_i(\\Theta))\\right)\n",
- "\\right] \\\\\n",
- "&= -\\sum_{i=1}^N \\,\\left[\n",
- "\\mathbf{y}^{train}_i \\cdot \\log \\mathbf{p}(\\mathbf{y}^{out}_i(\\Theta)) +\n",
- "(\\mathbf{1} - \\mathbf{y}^{train}_i)\\cdot \\log\\left( \\mathbf{1} - \\mathbf{p}(\\mathbf{y}^{out}_i(\\Theta))\\right)\n",
- "\\right] \\; ,\n",
- "\\end{aligned}\n",
- "$$\n",
- "where, in the last line, $\\mathbf{1} = [1, 1, \\ldots ]$ and the log function is applied component-wise. This likelihood is known as the **softmax cross entropy loss** and implemented in tensorflow with:\n",
- "```\n",
- "y_train = tf.placeholder(tf.float32, [None, C])\n",
- "loss = tf.losses.softmax_cross_entropy(onehot_labels=y_train, logits=y_out)\n",
- "```\n",
- "Alternatively, you can avoid the one-hot encoding by feeding integer target values directly with:\n",
- "```\n",
- "y_train = tf.placeholder(tf.float32, [None, 1])\n",
- "loss = tf.losses.sparse_softmax_cross_entropy(labels=y_train, logits=y_out)\n",
- "```\n",
- "In both cases, your network must have $C$ output nodes and these should normally not have any saturating activation.\n",
- "\n",
- "As with binary classification, we find that training a multi-category classifier is equivalent to both:\n",
- " - finding a ML point estimate, and\n",
- " - performing VI to find the best approximating discrete probability distribution."
+ "However, the next `Linear` module restores the Gaussian distribution! How does this happen when neither its inputs nor its parameters have a Gaussian distribution? (Answer: the [central limit theorem](https://en.wikipedia.org/wiki/Central_limit_theorem) which we briefly covered [earlier](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Statistics.ipynb))."
]
},
{
- "cell_type": "markdown",
+ "cell_type": "code",
+ "execution_count": 38,
"metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAD+CAYAAADS3wWuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAcs0lEQVR4nO3df1DUZeIH8PfC4qrhTenshkccN3bN0OAETqZyf+yOf7gLLhu2eTcoSZ1dmlM4eQ2NwiZj980YoyhOcbq7rpvIm4njkiUG15y6nGnwUrlOjobrHANKqGVBS5Zjl/3xfP9wXKVdXBbZH/C8X//I5/k86z7P4+fz9sPnx/NRCCEEiIhIKknxbgAREcUew5+ISEIMfyIiCTH8iYgkxPAnIpIQw5+ISEJTCv/XX38d69evh9FoxFtvvQUA2LNnD/R6PYqKilBUVIQTJ04AANrb22EymaDX61FbWxv4O7q7u2E2m2EwGFBZWQmv1xuF7hAR0ZSIMD799FNRXFwsPB6PGBsbE2vXrhUXLlwQhYWFwm63T6g7NjYmdDqd+Oqrr4TH4xFbt24VH3/8sRBCCKPRKD777DMhhBB79uwRR44cCffVREQUJWGP/FetWoW3334bSqUSw8PD8Pl8mD9/PgYGBlBRUQGTyYS6ujr4/X50dnYiMzMTGRkZUCqVMJlMsNls6O/vh8vlQm5uLgDAbDbDZrNF/T82IiIKbUqnfVJSUlBXVwej0Yi8vDx4vV6sWbMG+/fvR2NjI86ePYumpiYMDg5CrVYHPqfRaGC324PK1Wo17Hb7zPeGiIimRDnVijt37sQTTzyBJ598EqdOncKhQ4cC67Zs2YLm5mYYDAYoFIpAuRACCoUCfr8/ZHkkLl8ehd8f35kolixJxfCwM65tSBQci+s4FtdxLK6L91gkJSlwxx23Tbo+bPhfuHAB4+PjuPfee7FgwQLo9Xq0tbXh9ttvh8FgAHA1zJVKJdLS0uBwOAKfdTgc0Gg0QeVDQ0PQaDQRdcTvF3EP/2vtoKs4FtdxLK7jWFyXyGMR9rTPxYsXYbFYMD4+jvHxcXz44Yd44IEHsH//fnz//ffweDx49913sW7dOuTk5KCnpwd9fX3w+XxobW2FVqtFeno6VCoVOjo6AABWqxVarTbqnSMiotDCHvnrdDp0dnZiw4YNSE5Ohl6vx9NPP4077rgDmzZtgtfrhV6vR2FhIQCguroaZWVlcLvd0Ol0yM/PBwDU1NTAYrHA6XQiOzsbpaWl0e0ZERFNSiHE7JjSeXjYGfdfodTqRXA4RuLahkTBsbiOY3Edx+K6eI9FUpICS5akTr4+hm0hIqIEwfAnIpIQw5+ISEIMfyIiCU35IS8i2S360QLMVwXvMuMeXxxaQ3RrGP5EUzRfpYTpWWtQ+fuvFMWhNUS3huFPdIvGPT6o1YuCyl1uL0aujMWhRUThMfyJbtG8lORJfyPgHe+UqBj+RDeY7Lz+dPA3AkpkDH+iG0x2Xh+I/Nw+fyOgRMZbPYmIJMTwJyKSEMOfiEhCDH8iIgkx/ImIJMTwJyKSEMOfiEhCDH8iIgkx/ImIJMTwJyKSEKd3IIoxzvlDiYDhTxRjnPOHEsGUTvu8/vrrWL9+PYxGI9566y0AQHt7O0wmE/R6PWprawN1u7u7YTabYTAYUFlZCa/XCwAYGBhASUkJ8vPzsWPHDoyOjkahO0RENBVhw//06dP4xz/+gZaWFvztb39DQ0MD/vOf/6CiogL19fVoa2tDV1cXTp48CQAoLy/H3r17cfz4cQgh0NjYCADYt28fNm/eDJvNhuXLl6O+vj66PSMiokmFDf9Vq1bh7bffhlKpxPDwMHw+H65cuYLMzExkZGRAqVTCZDLBZrOhv78fLpcLubm5AACz2QybzQaPx4MzZ87AYDBMKCcioviY0jn/lJQU1NXV4U9/+hPy8/MxODgItVodWK/RaGC324PK1Wo17HY7Ll++jNTUVCiVygnlkViyJDWi+tES6kKdrDgWM28ujOlc6MNMSeSxmPIF3507d+KJJ57Ak08+id7eXigUisA6IQQUCgX8fn/I8mt/3uiHy+EMDzvh94uIPjPT1OpFcDh4SQ6Yu2MR7511to/pXN0upiPeY5GUpLjpQXPY0z4XLlxAd3c3AGDBggXQ6/X49NNP4XA4AnUcDgc0Gg3S0tImlA8NDUGj0WDx4sUYGRmBz+ebUJ+IiOIjbPhfvHgRFosF4+PjGB8fx4cffoji4mL09PSgr68PPp8Pra2t0Gq1SE9Ph0qlQkdHBwDAarVCq9UiJSUFK1euRFtbGwCgubkZWq02uj0jIqJJhT3to9Pp0NnZiQ0bNiA5ORl6vR5GoxGLFy9GWVkZ3G43dDod8vPzAQA1NTWwWCxwOp3Izs5GaWkpAKCqqgq7d+/G4cOHsXTpUrz66qvR7RkREU1qSuf8y8rKUFZWNqEsLy8PLS0tQXWzsrLQ1NQUVJ6eno6GhoZpNpOIiGYS5/YhIpIQp3cgKS360QLMV3HzJ3lx6ycpzVcpJ51fh0gGPO1DRCQhhj8RkYQY/kREEmL4ExFJiBd8aU6bTXf18A1fFEuzY68gmqbZdFcP3/BFscTTPkREEmL4ExFJiOFPRCQhhj8RkYQY/kREEmL4ExFJiOFPRCQhhj8RkYQY/kREEmL4ExFJiOFPRCQhhj8RkYQY/kREEppS+B88eBBGoxFGoxEHDhwAAOzZswd6vR5FRUUoKirCiRMnAADt7e0wmUzQ6/Wora0N/B3d3d0wm80wGAyorKyE1+uNQneIiGgqwoZ/e3s7PvnkExw9ehTNzc34/PPPceLECXR1deGdd96B1WqF1WrFunXr4HK5UFFRgfr6erS1taGrqwsnT54EAJSXl2Pv3r04fvw4hBBobGyMeueIiCi0sOGvVquxe/duzJs3DykpKbj77rsxMDCAgYEBVFRUwGQyoa6uDn6/H52dncjMzERGRgaUSiVMJhNsNhv6+/vhcrmQm5sLADCbzbDZbFHvHBERhRb2ZS733HNP4Ofe3l4cO3YMR44cwenTp1FVVYVFixZh+/btaGpqwsKFC6FWqwP1NRoN7HY7BgcHJ5Sr1WrY7faIGrpkSWpE9aMl1JuWZMWxiJ3ZNNazqa3RlshjMeU3eZ0/fx7bt2/Hc889h2XLluHQoUOBdVu2bEFzczMMBgMUCkWgXAgBhUIBv98fsjwSw8NO+P0ios/MNLV6ERwOvlMJmD1jkcg731SNe3yYl5IcVJ6Ir3ecLdtFLMR7LJKSFDc9aJ5S+Hd0dGDnzp2oqKiA0WjEF198gd7eXhgMBgBXw1ypVCItLQ0OhyPwOYfDAY1GE1Q+NDQEjUYz3T4RBZlN7+qNFF/vSNEQdm/55ptv8NRTT6G2thZ5eXkArob9/v37sWbNGixcuBDvvvsuHnroIeTk5KCnpwd9fX2466670Nraiocffhjp6elQqVTo6OjA/fffD6vVCq1WG/XOkTxm07t6iRJB2PB/88034Xa7UV1dHSgrLi7Gtm3bsGnTJni9Xuj1ehQWFgIAqqurUVZWBrfbDZ1Oh/z8fABATU0NLBYLnE4nsrOzUVpaGqUuERFROGHD32KxwGKxhFxXUlISVJaXl4eWlpag8qysLDQ1NU2jiURENNP4hC8RkYQY/kREEmL4ExFJiOFPRCQhhj8RkYQY/kREEmL4ExFJiOFPRCQhhj8RkYQY/kREEmL4ExFJiOFPRCShuTkBOs1Zc3ne/kiNe3whX1aTiC95ocTDvYhmFc7bfx1f8kK3gqd9iIgkxPAnIpIQw5+ISEIMfyIiCTH8iYgkxPAnIpIQw5+ISEIMfyIiCU0p/A8ePAij0Qij0YgDBw4AANrb22EymaDX61FbWxuo293dDbPZDIPBgMrKSni9XgDAwMAASkpKkJ+fjx07dmB0dDQK3SEioqkIG/7t7e345JNPcPToUTQ3N+Pzzz9Ha2srKioqUF9fj7a2NnR1deHkyZMAgPLycuzduxfHjx+HEAKNjY0AgH379mHz5s2w2WxYvnw56uvro9szIiKaVNjwV6vV2L17N+bNm4eUlBTcfffd6O3tRWZmJjIyMqBUKmEymWCz2dDf3w+Xy4Xc3FwAgNlshs1mg8fjwZkzZ2AwGCaUExFRfISd2+eee+4J/Nzb24tjx47hkUcegVqtDpRrNBrY7XYMDg5OKFer1bDb7bh8+TJSU1OhVConlEdiyZLUiOpHS6iJtGTFsUhc8fy34XZxXSKPxZQndjt//jy2b9+O5557DsnJyejt7Q2sE0JAoVDA7/dDoVAElV/780Y/XA5neNgJv19E9JmZplYvgsPBKbOA+I1FIu9MiSRe2yn3keviPRZJSYqbHjRP6YJvR0cHHnvsMTz77LN46KGHkJaWBofDEVjvcDig0WiCyoeGhqDRaLB48WKMjIzA5/NNqE9ERPERNvy/+eYbPPXUU6ipqYHRaAQA5OTkoKenB319ffD5fGhtbYVWq0V6ejpUKhU6OjoAAFarFVqtFikpKVi5ciXa2toAAM3NzdBqtVHsFhER3UzY0z5vvvkm3G43qqurA2XFxcWorq5GWVkZ3G43dDod8vPzAQA1NTWwWCxwOp3Izs5GaWkpAKCqqgq7d+/G4cOHsXTpUrz66qtR6hIREYUTNvwtFgssFkvIdS0tLUFlWVlZaGpqCipPT09HQ0PDNJpIREQzjU/4EhFJiOFPRCQhhj8RkYQY/kREEmL4ExFJaMpP+BLR7DDu8YV8Etrl9mLkylgcWkSJiOFPNMfMS0mG6VlrUPn7rxSBEy/QNQx/SkiLfrQA81XcPImihXsXJaT5KuWkR69EdOt4wZeISEIMfyIiCTH8iYgkxPAnIpIQw5+ISEIMfyIiCTH8iYgkxPAnIpIQw5+ISEIMfyIiCXF6ByJJcLZPuhHDn0gSnO2TbsTTPkREEppy+DudThQWFuLixYsAgD179kCv16OoqAhFRUU4ceIEAKC9vR0mkwl6vR61tbWBz3d3d8NsNsNgMKCyshJer3eGu0JERFM1pfA/d+4cNm3ahN7e3kBZV1cX3nnnHVitVlitVqxbtw4ulwsVFRWor69HW1sburq6cPLkSQBAeXk59u7di+PHj0MIgcbGxqh0iIiIwptS+Dc2NqKqqgoajQYAMDY2hoGBAVRUVMBkMqGurg5+vx+dnZ3IzMxERkYGlEolTCYTbDYb+vv74XK5kJubCwAwm82w2WzR6xUREd3UlC74vvjiixOWh4aGsGbNGlRVVWHRokXYvn07mpqasHDhQqjV6kA9jUYDu92OwcHBCeVqtRp2uz2ihi5ZkhpR/WgJdbeErDgWc8dM/ltyu7gukcdiWnf7ZGRk4NChQ4HlLVu2oLm5GQaDAQqFIlAuhIBCoYDf7w9ZHonhYSf8fjGd5s4YtXoRHA7eFwHM3FjwdY2JYaa2a+4j18V7LJKSFDc9aJ7WXvfFF1+gt7cXBoMBwNUwVyqVSEtLg8PhCNRzOBzQaDRB5UNDQ4FTSCQ3vq6RKD6mdaunEAL79+/H999/D4/Hg3fffRfr1q1DTk4Oenp60NfXB5/Ph9bWVmi1WqSnp0OlUqGjowMAYLVaodVqZ7QjREQ0ddM68s/KysK2bduwadMmeL1e6PV6FBYWAgCqq6tRVlYGt9sNnU6H/Px8AEBNTQ0sFgucTieys7NRWlo6c70gIqKIRBT+H330UeDnkpISlJSUBNXJy8tDS0tLUHlWVhaampqm0UQiIpppfMKXiEhCDH8iIgkx/ImIJMTwJyKSEMOfiEhCDH8iIgkx/ImIJMTwJyKSEMOfiEhCDH8iIgkx/ImIJMSJ1CkmOG8/UWLh3kgxwXn7iRILw59IcuMeX8jXDbrcXoxcGYtDiygWGP5EkpuXkjzpb2V8IePcxQu+REQSYvgTEUmI4U9EJCGGPxGRhBj+REQSYvgTEUmI4U9EJKEphb/T6URhYSEuXrwIAGhvb4fJZIJer0dtbW2gXnd3N8xmMwwGAyorK+H1egEAAwMDKCkpQX5+Pnbs2IHR0dEodIWIiKYqbPifO3cOmzZtQm9vLwDA5XKhoqIC9fX1aGtrQ1dXF06ePAkAKC8vx969e3H8+HEIIdDY2AgA2LdvHzZv3gybzYbly5ejvr4+ej0iIqKwwoZ/Y2MjqqqqoNFoAACdnZ3IzMxERkYGlEolTCYTbDYb+vv74XK5kJubCwAwm82w2WzweDw4c+YMDAbDhHIiIoqfsNM7vPjiixOWBwcHoVarA8sajQZ2uz2oXK1Ww2634/Lly0hNTYVSqZxQHqklS1Ij/kw0hJoDRVYci7lvOv/G3C6uS+SxiHhuH7/fD4VCEVgWQkChUExafu3PG/1weSqGh53w+0XEn5tJavUiOByc7QSYfCw4dfPcEun2zn3kuniPRVKS4qYHzRHvpWlpaXA4HIFlh8MBjUYTVD40NASNRoPFixdjZGQEPp8PycnJgfo0N3HqZqLZIeJbPXNyctDT04O+vj74fD60trZCq9UiPT0dKpUKHR0dAACr1QqtVouUlBSsXLkSbW1tAIDm5mZotdqZ7QUREUUk4iN/lUqF6upqlJWVwe12Q6fTIT8/HwBQU1MDi8UCp9OJ7OxslJaWAgCqqqqwe/duHD58GEuXLsWrr746s70gIqKITDn8P/roo8DPeXl5aGlpCaqTlZWFpqamoPL09HQ0NDRMs4lERDTTeGWOiELiG77mNoY/EYXEN3zNbZzbh4hIQgx/IiIJMfyJiCTE8CcikhDDn4hIQgx/IiIJMfyJiCTE8CcikhAf8iKiiEz25O+1dTQ7MPyJKCKTPfkLcOru2YThT9Nys6M/Ikp8DH+alpvN+0JEiY8XfImIJMTwJyKSEMOfiEhCDH8iIgkx/ImIJMTwJyKSEMOfiEhCDH8iIgnd0kNeW7ZswaVLl6BUXv1rXnjhBXz11Vc4fPgwvF4vHn30UZSUlAAA2tvb8dJLL8HtdqOgoAC7du269dYTEdG0TDv8hRDo7e3F3//+90D42+127Nq1C++99x7mzZuH4uJirF69GnfddRcqKirQ0NCApUuXYvv27Th58iR0Ot2MdYSI4m+yaT9cbi9GrozFoUU0mWmH/5dffgkA2Lp1K7777jv88pe/xG233YY1a9bg9ttvBwAYDAbYbDasWrUKmZmZyMjIAACYTCbYbDaG/yyw6EcLMF/FWUBoam427cdIHNpDk5v2Xn3lyhXk5eXh+eefh8fjQWlpKQoKCqBWqwN1NBoNOjs7MTg4GFRut9sj+r4lS1Kn29QZJeNkZpzDh2aCjPtOIvd52uG/YsUKrFixIrC8ceNGvPTSS9ixY0egTAgBhUIBv98PhUIRVB6J4WEn/H4x3ebOCLV6ERwOuY5fEnnjpdlFxn0nnn1OSlLc9KB52nf7nD17FqdOnQosCyGQnp4Oh8MRKHM4HNBoNEhLSwtZTkRE8THt8B8ZGcGBAwfgdrvhdDpx9OhRvPzyyzh16hQuXbqEsbExfPDBB9BqtcjJyUFPTw/6+vrg8/nQ2toKrVY7k/0gIqIITPu0z9q1a3Hu3Dls2LABfr8fmzdvxv33349du3ahtLQUHo8HGzduxH333QcAqK6uRllZGdxuN3Q6HfLz82esE0REFJlbuo3jmWeewTPPPDOhzGQywWQyBdXNy8tDS0vLrXwdERHNED7hS0QkIYY/EZGE+PQOEUUdn/xNPAx/4lO8FHV88jfxcI8nzFcpQ+6YAJ/kJZqreM6fiEhCDH8iIgnxtA8RxQ0vBMcPw5+I4oYXguOH4S8R3tVDRNcwCSQy2V09vKOHSD684EtEJCGGPxGRhHjaZw7iuX0iCocJMQfx3D7NdrwFNPoY/kSUcHgLaPTxnD8RkYQY/kREEuJpHyKaNXgtYOYw/Gcx3tVDsuG1gJnD5JjFeFcPEU0Xw38W4BE+0c3xdFDkYpoo77//Pg4fPgyv14tHH30UJSUlsfz6WYtH+EQ3N9npoL9VF/I/hUnELPztdjtqa2vx3nvvYd68eSguLsbq1avxs5/9LFZNSHg8wieaWbxGMLmYJU17ezvWrFmD22+/HQBgMBhgs9nw9NNPT+nzSUmKaDZvyiJpR2rqfKhChLl73AfVvOSQn3n8/z4IKnvToofmjgUh60e7PBbfMVvKE7FNiVaeiG0KVT7ZaaLJ9s1Jy91eOJ2ukN8LxDe3wn23QgghYtGQN954A//73/+wa9cuAMBf//pXdHZ24re//W0svp6IiG4Qs4e8/H4/FIrr/xMJISYsExFR7MQs/NPS0uBwOALLDocDGo0mVl9PREQ3iFn4//znP8epU6dw6dIljI2N4YMPPoBWq43V1xMR0Q1idsH3zjvvxK5du1BaWgqPx4ONGzfivvvui9XXExHRDWJ2wZeIiBIHZ/UkIpIQw5+ISEIMfyIiCTH8iYgkxPAnIpIQwz+M1157Db/73e9CrhsfH0d5eTkKCgrw0EMP4cKFCzFuXewMDAygpKQE+fn52LFjB0ZHR4Pq9Pf3Y8WKFSgqKkJRUREef/zxOLQ0et5//32sX78eer0eR44cCVrf3d0Ns9kMg8GAyspKeL3eOLQyNsKNxcGDB7F27drAthCqzlzidDpRWFiIixcvBq1L2O1CUEhXrlwRe/bsEffdd5+oq6sLWeePf/yjeP7554UQQpw+fVr84he/iGUTY2rbtm2itbVVCCHEwYMHxYEDB4Lq2Gy2wHjMNd9++61Yu3atuHz5shgdHRUmk0mcP39+Qh2j0Sg+++wzIYQQe/bsEUeOHIlHU6NuKmOxfft28c9//jNOLYytf/3rX6KwsFBkZ2eLr7/+Omh9om4XPPKfxIcffoif/vSn+NWvfjVpnY8//hgPPvggAOCBBx7ApUuXMDAwEKsmxozH48GZM2dgMBgAAGazGTabLajev//9b/z3v/9FUVERSktL8cUXX8S6qVFz46y0CxcuDMxKe01/fz9cLhdyc3MBTD5Gc0G4sQCArq4uvPHGGzCZTHjhhRfgdrvj1Nroa2xsRFVVVcjpahJ5u2D4T2LDhg3Ytm0bkpNDT70MAIODg1Cr1YFltVqNb7/9NhbNi6nLly8jNTUVSuXVB8LVajXsdntQPZVKhQcffBBHjx7F448/jqeeegrj4+Oxbm5U/PDfWqPRTBiDUNtCqDGaC8KNxejoKO69916Ul5fj6NGjuHLlCurr6+PR1Jh48cUXsXLlypDrEnm7kP7NIceOHcNLL700oWzZsmX485//HPaz4gczkwohkJQ0u/8/DTUemZmZQTOwhpqRtaysLPCzTqfDK6+8gi+//BJZWVnRaWwMhZuVVqZZa8P19bbbbsMf/vCHwPLWrVtRUVERmM5dJom8XUgf/gUFBSgoKJjWZ++8804MDg7iJz/5CQBgaGho1s9UGmo8PB4PVq9eDZ/Ph+Tk5ElnZG1oaEBhYSHuuOMOAFc39Gu/Lcx2aWlpOHv2bGD5h2Pww1lr58K2MJlwYzEwMID29nZs3LgRwNzaDiKVyNvF7D5MjTOdTger9eor4s6ePQuVSoUf//jHcW7VzEtJScHKlSvR1tYGAGhubg45I+uZM2fQ1NQEADh9+jT8fj+WLVsW07ZGS7hZadPT06FSqdDR0QEAsFqtc3bW2nBjMX/+fLz88sv4+uuvIYTAkSNHsG7duji2OH4SeruI26XmWaKurm7C3T5/+ctfxGuvvSaEEMLlconnnntOrF+/XmzYsEF0dXXFq5lRd/HiRfHII4+IgoICsXXrVvHdd98JISaOx7fffisee+wxYTQahdlsFt3d3fFs8oxraWkRRqNR6PV68fvf/14IIcSvf/1r0dnZKYQQoru7Wzz88MPCYDCI3/zmN8LtdsezuVEVbixsNltg/e7du+f0WFyzdu3awN0+s2G74KyeREQS4mkfIiIJMfyJiCTE8CcikhDDn4hIQgx/IiIJMfyJiCTE8CciktD/A6nZGjTIG6KTAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "#### Practical Implementation"
+ "plt.hist(net[2].output.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "To optimize our test problem above, we first need to start from random parameters (rather than a known good solution). Note that tensorflow wants all arrays to be 32-bit floats, not the numpy and python default 64-bit floats."
+ "The next activation is `ReLU`, which effectively piles up all negative values from the previous `Linear` module into the zero bin:"
]
},
{
"cell_type": "code",
- "execution_count": 28,
- "metadata": {},
- "outputs": [],
- "source": [
- "gen = np.random.RandomState(seed=123)\n",
- "W_hidden_init = gen.normal(size=(4, 2)).astype(np.float32)\n",
- "b_hidden_init = gen.normal(size=(4,)).astype(np.float32)\n",
- "W_out_init = gen.normal(size=(1, 4)).astype(np.float32)\n",
- "b_out_init = gen.normal(size=(1,)).astype(np.float32)"
- ]
- },
- {
- "cell_type": "markdown",
+ "execution_count": 39,
"metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "Create a graph using these random initial parameter values. We also need to:\n",
- " - Define a placeholder to read in the target $y$ values.\n",
- " - Define the loss function to minimize, for which we use the binary classification cross entropy.\n",
- " - Prepare an optimization algorithm to run, which is the `AdamOptimizer` in this example."
+ "plt.scatter(net[3].input.reshape(-1), net[3].output.reshape(-1), s=1);"
]
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": 40,
"metadata": {},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "with graph.as_default():\n",
- " # Feed the input layer from an external dataset.\n",
- " X_train = tf.placeholder(tf.float32, [None, 2])\n",
- " # Define the hidden layer using random parameters.\n",
- " W_hidden = tf.Variable(W_hidden_init)\n",
- " b_hidden = tf.Variable(b_hidden_init)\n",
- " hidden = tf.sigmoid(tf.transpose(tf.matmul(W_hidden, X_train, transpose_b=True)) + b_hidden)\n",
- " # Define the output layer without any activation, to allow loss functions with a built-in sigmoid.\n",
- " W_out = tf.Variable(W_out_init)\n",
- " b_out = tf.Variable(b_out_init)\n",
- " y_out = tf.transpose(tf.matmul(W_out, hidden, transpose_b=True)) + b_out\n",
- " # Feed the target outputs from an external dataset.\n",
- " y_train = tf.placeholder(tf.float32, [None, 1])\n",
- " # Calculate the cross-entropy loss between y_train and sigmoid(y_out).\n",
- " loss = tf.losses.sigmoid_cross_entropy(multi_class_labels=y_train, logits=y_out)\n",
- " # Prepare an optimizer to minimize the loss.\n",
- " optimizer = tf.train.AdamOptimizer(learning_rate=0.1)\n",
- " step = optimizer.minimize(loss)\n",
- " # Initialize all parameters.\n",
- " initialize = tf.global_variables_initializer()"
+ "plt.hist(net[3].output.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "In our session, we run 200 steps of the optimizer and then evaluate the outputs after training. Note that we need to feed values of `y_in` to evaluate the loss but not to evaluate the trained network's outputs."
+ "The final linear layer's output is again roughly Gaussian, thanks to the central limit theorem:"
]
},
{
"cell_type": "code",
- "execution_count": 30,
- "metadata": {
- "scrolled": false
- },
- "outputs": [],
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "with tf.Session(graph=graph) as session:\n",
- " session.run(initialize)\n",
- " loss_history = []\n",
- " for i in range(200):\n",
- " session.run(step, feed_dict={X_train: X, y_train: Y})\n",
- " loss_history.append(session.run(loss, feed_dict={X_train: X, y_train: Y}))\n",
- " Y_out = session.run(tf.sigmoid(y_out), feed_dict={X_train: X})"
+ "plt.hist(net[4].output.reshape(-1), bins=50);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The loss function has decreased nicely and appears to be reasonably converged after 100 steps:"
+ "So far we have only looked at distributions of the tensors involved in the forward pass, but there is also a lot to learn from the backwards gradient tensors that we do not have time to delve in to. For example, this scatter plot offers some insight into a suitable learning rate for the second `Linear` module's weight parameters:"
]
},
{
"cell_type": "code",
- "execution_count": 31,
+ "execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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0o8fwu4fe4NYHF3DBR8antUxfZesu5eqebM0F2ZtNubqnp7k6KxrpHAMYbWa/BwaS0hJw9/26WO454HTg7vAYwPyUea8Ah5rZYGATMB34bRpZstr0g4fx6Avv8Nxrqzh+4j4cMKIi05FERDqUznUAvwSuAT5I0G3T9tOV+4A6M3seuB641MwuM7OPhf39VwKPE5xe+hd3X9CTf0A2icdjfO5koxW4/bFFNDW3ZDqSiEiH0mkBrHP3h7q7YndvAS7abfKilPl3AXd1d73ZbtyoAcyYtA8z577HvU+/xac+cGCmI4mItCudAjDLzH5GcEZPXdtEd38mslR7uU+eeACL3tnE4y+uYPTQMo46ZFimI4mI7CGdAjAt/D05ZVor8IHej9M/FBUk+cYnDuPa37/MLQ+/QSIeY9r4oZmOJSKyi3RuCZlOf7/sZvigEr519kRuuGcev3lgIes213HKkaOJx2JdLywi0ge6LADhRWC/A8YCxwF3Ahe4+7JIk/UD40YN4IpzJ/PzP7/Gn2e+xevLNvDFUw9icEVRpqOJiKR1FtBvCIZt2AasAf4I/D7KUP3J2GHlXHPBNCbuP4jXl23k+ze/yFOvvkuL7h8gIhmWTgEY7O5PALh7q7v/luAqX0lTeXE+3zx7Al/66HgSsRh3PLGYH985hzXv4+I2EZH3K50CUGtmIwlHADWzYwmGg5BuiMViHHPYcK798pFMGVfF4hWbuOrmF3l89rJMRxORHJVOAbgUeAg40MzmEhwD+GakqfqxAaUFfO3jh/IvZx5Kfl6C/7lnHnf+bTEtLeoSEpG+lc5ZQC+b2RHAOCABLHL3hsiT9WOxWIwjDhrC2GFl/O/9C/j7K++yra4x6CKKp1OTRUTev7T2Nu7e6O4Lgdu08+89VQOK+NHXj2P/EeXMXriGmx96QweHRaTPdPfrpk5i72WlRXlc/qlJHDCigtmvr+Gep5Z0vZCISC9Qf0MWKMxP8s2zJzB8UDGPv7iCx17QDeZFJHrdLQAzzOyQSJLkuNKiPC47ZxIDSvO5+6klzF64OtORRKSf67IAmNmFZnabmVUBC4E/m9l3o4+WewZVFHLZOZMoKkhyyyNvsHjFpkxHEpF+LJ0WwL8QjN3/GeAB4DDgrChD5bKRQ0q5+OOH0tIC//OX+azdVJvpSCLST6V7FtAq4CPAw+FtHTWYTYQOGTuQ804ex7baRn5+zzxq6hozHUlE+qF0CsBCM3sI2A/4u5n9CXgp2lgyY/IITj5iFKvW1/Cr+xfo7mIi0uvSKQAXAD8GpofXANwBXBhpKgHgnBMPYNIBg1m4bCN3/v1NWnWNgIj0onQKwBhgFLDRzG4CrgImRppKgOAew1/52MGMGlLKzDkreWT28kxHEpF+JJ0CcGv4uo8RDAdxGcGN4qUPFOYn+dbZExhUXsC9T7/NzDkrMx1JRPqJdApAobvfAZwO/MHdZwEF0caSVAPLC7n805MpK87jjsedF99Yk+lIItIPpFMAms3sE8BpwENmdgbQHG0s2d2wgcVcds4kCgsS/PavrzNncXWmI4nIXi6dAvAV4KPAxeHpoJ9BB4EzYsywMr519kSSiTg33r+AlxetzXQkEdmLdVkA3H0+cD2wj5ldAvy3u78WeTJp17hRA7j0nInkJeP8+oGFGjJCRHosnaEgPgfcD+xLcEbQX8zsgqiDScfGjRrA5Z+eREF+0B00a957mY4kInuhdLqALgemufvl7n4pMI3gTCDJoP33qeCKz0ympCiPWx9dxN9eWpHpSCKyl+nyjmBAwt3Xtz1x93Vm1uVlqWYWB24kuGagHrjQ3Ze085qHgQfc/dfdSi6MGVbGt8+dzE//NJc//uNN6hqaOO3oscRium2DiHQtnRbAPDO7wcwOC39uAOalsdyZBKeQHgV8B7iunddcCwxMP67sbkRVKVd+dgqDygu5b9ZS7pn5lq4YFpG0pFMAvkzwDf4W4DagAbg4jeWOBR4DcPfZwNTUmWZ2NtACPJp+XGnPkMpirjxvCsMGFvPYC+9wxxOLdWtJEelSOl1AN7r7+T1YdzmwOeV5s5kl3b3JzA4FzgXOBn6QzsoqK4tJJhM9iBGoqirr8bJR641sVVVl/OSbx/ODm54PrhaOxbjk05NJJHp+07dsfc+Uq/uyNZtydU9v50qnABxqZqXuvq2b694CpKaNh0NJA3weGAE8CYwFGsxsmbs/1tHKNm6s6ebmd6qqKqO6emuPl49Sb2e77JyJ3HDPPGa++i6bt9Zx0RmHkpfsfhHI1vdMubovW7MpV/f0NFdnRSOdAtACvGNmDuy4O4m7f6CL5Z4jGD7ibjObDsxPWfaKtsdmdjWwurOdv6SvpDC4yfwv753PnDfX8Ys/z+Prn5hAQV7PW08i0j+lUwCu6Pol7boP+JCZPQ/EgPPN7DJgibs/2MN1ShoK85Nc8skJ/Or+hcxdso6f3zOPb509kYJ8FQER2anTAmBmlcBCd18XPj8BeN3duxyIxt1bgIt2m7yondddnXZaSVteMsHFHz+U3zywkFcWV3P93XP51icnUlSQTs0XkVzQYeewmU0GXmfXs3dOBuaa2YSog8n7l0zE+eoZhzD1oCEsfncz1989j9r6pq4XFJGc0NnRwZ8Cn0ntm3f3fyO4Q9jPog4mvSOZiPPVjx3M9IOHsmTlZq7701zdY1hEgM4LQKW7z9x9ors/DgyOLJH0ukQ8zoWnHcxRhwzj7fe28NO75rJdRUAk53VWAPLCoRp2EU7Ljy6SRCEej/Glj47n2MOGs2z1Vn7yxzlsq1UREMllnRWApwnu/7u77wEvRxNHohSPx/jiRw7i+In78M6abfz4zjlsqWnIdCwRyZDOTgm5EnjEzL4AzAXqgCnAWoL7A8teKB6L8flTjEQ8xlNzVvKjP7zKpedMZHBFUaajiUgf67AF4O5bgeMJDvrOAl4AvuTux7r7hj7KJxGIx2Kcd/I4TjlyNKvW1/Cfd7zCO2uy78pHEYlWpyeFu3srwXANT/ZNHOkrsViMc048gAGlBdz1jzf50Z2v8vWzJjB+TGWmo4lIH+n5SGHSL5x8xCguOuMQGptauP7uubz4xppMRxKRPqICIEwbP5RLz5m04z7DD/9zme4pIJIDVAAEgPFjKvn2uVMYWF7AvU+/zc/ufJXGpuZMxxKRCKkAyA6jh5bx/c9PZf99ypn56rv89x/msGlbfaZjiUhEVABkFxWlBVxx7mQ+MHUUS1dt4T9uf5llq7dkOpaIREAFQPaQl0xwyacn88kT92fT1np++H+vMuu19zIdS0R6mQqAtCsWi3HqkWP45tkTyEvEufWRRdz+2CIdFxDpR1QApFMTDxjMD84/gtFDSnl67nv88P9eZd3m2q4XFJGspwIgXRoyoIjvfu5wjjlsGMtWb+WaW19iwdL1mY4lIu+TCoCkJT8vwQUfGc/nTzHqG5u5/k/zePDZpbS06HoBkb2VCoCkLRaLMWPSCK4873AGlhdw/7NL+ckf57BhS12mo4lID6gASLftO7ycq86fxuHjqvAVm7jqlhd5edHaTMcSkW5SAZAeKS3K4+KPH8oXTjEam1q48f4F3PrIG9Q16J7DInuLTkcDFelMLBbjhEkjGDdqAL95YCGzXlvFG8s3cv6pBzF+7MBMxxORLqgFIO/b8EEl/Nvnp3Lq9NGs31LHT+6ay+8fW0RtvVoDItlMBUB6RV4yzidnHMD3Pj+VEVUlzJz7Ht+/+QXmv63TRUWylQqA9Kp9h5fzgy8cwceOGcvmbQ1cf/c8fnX/AjZu1aByItlGxwCk1+Ul45x53H5MGVfF7x93Xlq0ltfeXs8Zx+zLSVNHkkzoe4dINtBfokRm9NAyvvu5w/niqQeRl4hz91NLuObWl3hj+cZMRxMRImwBmFkcuBGYCNQDF7r7kpT5lwKfDp8+4u7XRJVFMicei3H8xH2YMq6Ke59+i2fmvsdP/jiHifsP4uwTD2DE4JJMRxTJWVG2AM4ECt39KOA7wHVtM8xsP+CzwNHAUcDJZjYhwiySYaVFeXzhlIP43hemYqMGMO+t9fzg5hf4/WOL2KybzohkRCyqe7+a2c+AF939rvD5SncfET7OAyrcfV34/EXgPHdf3NH6mpqaW5PJRCRZpW+1trby0utruPWhhby7dhuF+QlOP24/zjzhAMpL8jMdT6S/iXU4I8IC8DvgXnd/NHz+DrCfuzelvCYG/AQoc/evdra+6uqtPQ5aVVVGdfXWni4eqWzN1he5mltaeGbeKh58dimbtzdQkJ/gpMNH8uFpoyktystYrp7I1lyQvdmUq3t6mquqqqzDAhDlWUBbgLKU5/Hddv6FwC3AVuDiCHNIlkrE45w4eQTHHDqMmXPf49HZy3n4n8v5+yvv8sEpIzlp6kgGlBZkOqZIvxVlAXgOOB2428ymA/PbZoTf/B8AnnT3H0WYQfYC+XkJTj5iFDMm7bOjEDwyezlPvPQO0w8exsnTRjGyqjTTMUX6nSgLwH3Ah8zseYI+qPPN7DJgCZAATgAKzOzU8PVXuvs/I8wjWS61EDy/cDWPv7iCZ+ev4tn5qzh0v4GcdPhIZgxSIRDpLZEVAHdvAS7abfKilMeFUW1b9m75eQlmTBrB8RP34bUl63nsxXdY8PYGFry9gTv//ibHHjac4yYMp0LdQyLvi64ElqwVj8WYdOBgJh04mGWrtzBzznu88MYa/vLM2zzw7FImHziYGZNHcNCYSuKxDo9ziUgHVABkrzB2WDlfPLWciz85iYeeWcLMOSt52at52asZVF7I9EOGMv2QYbqwTKQbVABkr1JSlMcHpozkxMkjeOu9LTw9ZyUvL67m4X8GZxCNHlLK9EOGceTBQ6ksUxeRSGdUAGSvFIvFOGBEBQeMqOC8xmbmLVnH7IVrmP/2eu5+agn3PLWEA0cNYMq4KiYfOJiqAUWZjiySdVQAZK9XkJdg2vihTBs/lK01Dby8aC3/fH0Nb67YxOIVm7jrH28yakgpkw8czJRxVYwaUkpMxwxEVACkfykrzufEKSM5ccpINm+rZ+6Sdcx5cx2vL9vAirXbePC5ZVSWFXDovgM5ZN+BHDx2YIdXHYv0dyoA0m9VlBZwwqQRnDBpBLX1TSxYuoFXF1ez4O31zHptFbNeW0UsFtzE5pCxQUHYd3gZeRpzSnKECoDkhKKCJEccNIQjDhpCS0sry9dsZcHb61mwdANvrdzC2+9t4a/PLyOZiLPf8DLGjR7AuFED2H+fCooK9Gci/ZM+2ZJz4vEY+w4vZ9/h5Zx+zL7U1jfxxvKNLFq+kcXvbuLNdzez+N3NwHLisRijh5YGxWBEBfsOK2NQRaGOIUi/oAIgOa+oIMmUcVVMGVcFQE1dE0tWbmbxik0sfncTS9/bwrLVW+GlFUBwb4OggJQxNiwkVVWZ/BeI9IwKgMhuiguTTNh/EBP2HwRAQ2MzS1dt4e1VW1i6aivLVm1h/tvrmf/2+h3LDB5QxIhBxYwcUsqoIaWMrCpl6MAiEnHddVWylwqASBfy8xLY6EpsdOWOaVtqGlgWFoOlq7bwztptzHtrPfPe2lkUkok4IwaXMHJICSMGlzJ8UDHDBxUzuKKIeFxdSJJ5KgAiPVBenL9LK6Gqqoy3lq9n5dptrKjezrtrt7Giehsrq7ezfM2uN/FIJmIMrSxmWFgQhg0sZvigEoYNLNYBZ+lT+rSJ9JLy4nzKxw5k/NiBO6Y1t7SwZkMt763bzqoNNaxeX8PqDdtZtb6Gleu277GO0qI8qgYUMriiiKoBRcHjAcHjgWUFJBPqUpLeowIgEqFEPM4+g0vYZ7dB6lpbW9m8vYFV62tYvT4oDms21LJucy0r1m5n6ao9b/0Xj8UYWF5A1YAiBpUXUllWwMDyAirLChlYVkBleQHFBUmdoSRpUwEQyYBYLMaA0gIGlBYwfkzlLvNaWlvZvK2B6k21KT91VG8OHr+xfGOH6y3IS1BZVhAUh7ICKssLGb1PBUlaqSjJp6Ikn/KSfLUkBFABEMk68Vhsx0583KgBe8xvaGxm49Z6NmypY8PWejaGPxu21AW/t9azekNNp9soKUxSnlIQUh9XlBTseFxWnKdi0Y+pAIjsZfLzEgwdWMzQgcVqCoeSAAANSUlEQVQdvqahsZmN2+rZuKWepliMd97bzJbtDWzZ3sDmlN+r1ndeKACKChKUFuWFP/k7HxcHv8uK8igJf7dNU9HYO6gAiPRD+XkJhlYWM7SymKqqMqpH79mSAGhqbmFrTSObt9cHRWFbA1tqdv7eWtPI1ppGttc1smLtdpqa9zw20Z7C/AQlhXmUFCYpLkxSVBD8Li7IC38nGVpVSnNDU/C8MI/i8DUF+Qnd4a2PqACI5LBkIr6ju6krra2tNDS2sLW2gW21jcFPTeOOx1trG9leGxaM8PnaTbXUNTR3K1MsBsUFqUUjSWF+kqKCBIX5SQrzE8FPQfC4qG1aQcq8cJpaIp1TARCRtMRiMQryExTkFzG4Iv0b7DS3tFBb30xNfRO1dU3U1DVSU99EIi/JmnXbqKlroqY+nN72uL6Jmrom1myspb6bBSRVXjK+S1EoCgtFfl6CgmSc/PwEBXk7f/Lz4gweWEJDXWPwmrx4+Dv8yU+Qn4yTl4z3i7OtVABEJFKJeJzSovge912oqiqjurrrLqXmlhbqGpqpq2+mrqEpeNzQTG192+Pgd23bvF1et/P16zbXUlffTGsv/JtiMXYUhvxkPCiM4eP8vAR5yXhYKFIf75zXNi0/mfo8fG1ePJy2s9hE1ZJRARCRrJaIxykpjFNS+P5v3NPa2kp9YzMNjS3UNzbv+GloaKa+qYWGxmbyC/JYt2F7OC+Y1rDjtS3h8s27zN+4pZ6GpmaamnujvOzpzOP25UtnTuj19aoAiEjOiMVi4fGBjl+TbsukPc0tLTQ0ttDY3EJjYwsNTc00NrXQ2NRCQ1MLjeHzhrZpjc0prw1e39TU9riFxsZmmppbGFVV2sN/cedUAEREekkiHqeoIE76R0gyS4fIRURyVGQtADOLAzcCE4F64EJ3X5Iy/8vAV4Em4Fp3fyiqLCIisqcoWwBnAoXufhTwHeC6thlmNgz4JnAM8GHgh2bW9YnIIiLSa6I8BnAs8BiAu882s6kp86YBz7l7PVBvZkuACcBLHa2ssrKYZDLR4zBVVWU9XjZq2ZpNubonW3NB9mZTru7p7VxRFoByYHPK82YzS7p7UzvztgIVna1s48auxyzpyPs5qh+1bM2mXN2Trbkge7MpV/f0NFdnRSPKLqAtQOqW4+HOv715ZcCmCLOIiMhuoiwAzwEfATCz6cD8lHkvAseZWaGZVQDjgQURZhERkd1E2QV0H/AhM3seiAHnm9llwBJ3f9DMfgHMIihC/+budRFmERGR3cRaW6O5dFlERLKbLgQTEclRKgAiIjlKBUBEJEepAIiI5CgVABGRHKUCICKSo1QARERyVL++IUxXQ1L3cZY84BZgLFAAXAu8C/wVeDN82a/c/U8ZyjeHneMzLQV+A/ycYLjuJ9z9mgxk+iLwxfBpITAJOBf4CbAinH6Vuz/dh5mOBH7k7jPM7ADgNqCV4Er2r7l7i5ldBXyU4L27xN1f7ONck4BfAs0En/vPu/ua8OLLYwjG3gI4w903t7/GyLJNoZ3PfBa8Z3cBw8JZY4HZ7v5pM3sQGAQ0ArXufmqEedrbR7xOhJ+xfl0ASBmSOhyO4jrgjAxlOQ9Y7+6fM7NBwBzg34Gfuft1nS8aLTMrBHD3GSnT5gKfAN4GHjazKe7+al/mcvfbCD78mNn/EvxxTAGucPd7+zJLmOEK4HPA9nDSz4DvuftMM/s1cIaZLQdOAI4ERgH3Akf0ca6fA99w97lm9lXg28BlBO/dh919XZR5usg2hd0+82FRyOh75u6fDqdXAk8Bl4YvPQA4xN374orZ9vYRc4nwM9bfu4B2GZIamNr5yyN1D/D9lOdNwOHAR83sGTO72cwyNQbtRKDYzJ4wsyfN7HigwN3fCj/4jwMfzFA2wqHED3H3mwjeswvMbJaZXWdmffkl5i3grJTnhwNtrY9HgZMIPnNPuHuru78DJM2sqo9zfdrd54aPk0Bd2Bo+ELjJzJ4zswsiztRRtvY+89nwnrW5Bvilu68ys6HAAOCvZvasmZ0WcaaO9hGRfcb6ewFod0jqTARx923uvjX8wP8Z+B7BoHj/z92PJ/imfVUmsgE1wE8Jbs5zEXBrOK1Nl8N1R+y7BH+YAH8DvgEcD5QS5O0TYaujMWVSLOWbYdt71O2hzns7l7uvAjCzo4GvA9cDJQTdQucBpwAXm9mEKHO1l432P/MZf88AzGwIwRed28JJ+QS9BmcSFIvrw9dElam9fUSkn7H+XgA6G5K6z5nZKILm5R3ufidwn7u/Es6+D5icoWiLgf8Lv1EsJvhwDUyZn7Hhus1sAHCQuz8VTrrF3d8O/ygeIHPvGUBLyuO29ygrhjo3s08BvwY+6u7VBAX95+5e4+5bgScJWn59rb3PfFa8Z8DZwJ3u3hw+Xw382t2b3H0tQZeMRRmgnX1EpJ+x/l4AOhuSuk+FzckngG+7+y3h5MfNbFr4+IPAK+0uHL0LCG/ZaWb7AMXAdjPb38xiBC2DWRnKdjzw9zBbDHjNzEaG8zL5ngHMMbMZ4eNTCd6j54APm1nczEYTfOnosz53ADM7j+Cb/wx3fzucPA541swS4cHGY4E+PaYTau8zn/H3LHQSQTdL6vO7AcysFDgUeCOqjXewj4j0M9bfDwLvMSR1BrN8F6gEvm9mbf18lwE3mFkDwbeNr2Qo283AbWb2LMHZBhcQfPP4A5Ag6G98IUPZjKCrAHdvNbMLgb+YWS3BGRK/zVAugMuB35pZPsGO4c/u3mxms4B/EnzB+lpfBjKzBPAL4B2C9wngaXe/ysz+AMwm6Pr4vbsv7MtsoX8B/if1M+/uWzL5nqXY8VkDcPdHzezDZjab4O/huxEXpvb2Ed8CfhHVZ0zDQYuI5Kj+3gUkIiIdUAEQEclRKgAiIjlKBUBEJEepAIiI5Kj+fhqo9LHwfOkfEVw7sJ3gopWr3f0fXSx3GjDO3X9mZhcBuPuv09zm7wgu2Hm5m1l7vM1ubmdfgvFcvtTb6+4NZnY1gLtfndkk0tdUAKTXhBdq/ZVgAKuD3b3BzCYTDCZ3rrvP7GTxHeM0dXcn7O4X9iTv+9lmN40B9o9w/SI9ousApNeEVyzeAuyfOnqimV0MfMLdP2hmMwkKxPEEQzxfQjAs9pPhy68k2GHi7leb2WrgfoKRD1eH6/8mMBL4ors/Ha7zamACwUVsAEUEO92RBBf4/CfBFc4DCEZ6fLOTbZ5GMBRvnODCoK+GwykvA+4gaN2UEAyzvMuVyGZ2GfAFgguHXnT3r5rZa8B+wO3u/jUz+w5wDsFFdo8TjNY5BngQWAQcAiwHznP3DbutfxXBODHHEgwWdo67Lw2zzXD3ZeH/w9XhMMczCa74PTZ8v79NcHHRwcD17n592AKYRjDscSlwk7v/PNxeR1kfA9YRDJH8IWSvpGMA0puOAF5uZ+jcZ9h1uNpyd59CMLb/7cASgnFrfu3ut+627FDgUXefTLAD+7i7H0eww78k9YXu/gt3n0QwvsxC4Ep3X00weNyF4TYvBK5199fb22Y42NdvgDPdfQLBZff/k7KZ9e4+LVz2u6nbD6/CvZKgZXE4kG9mIwgK1svhzv+UcN4RYc4RwGfDVRwG3OjuhxBc9Xk1exoG/CN8P54hGPKhK7Ew870EA8KdBRwH/CDlNcOBDwBHAV83s0ldZDWCAqWd/15MBUB6Uyvtdyvmh/Pa/BYgHLJ4FcE39860jc+ynJ3f2pcTXDbfnn8HGtz9J+Hz84BDw8vrLyf4ltuRaQTf3JeFz29i16GwHwt/L2DXAfMIBxF7HniJYJTL69x95W7rP4mgNfMKwTfzqQTf+AEWp3ST3U6wQ25Phxk6kPr+zQ4HhFtO0Bpqc5e7b3f3LQTdeCd0kXVtynskeykVAOlNLwBTw8HGUh0FpB6gTR2RNb7b8z24e0MHy+7BzM4GTmdnVxAEA2hNI9iR/SfBuFAd2f1vIsauRa0u/N3awXrOJBjvJgY8ZmYn7DY/Adzg7pPC1sqRYSZI831x9/YypD7e/f1P5/3bfduNXWSt7WA9shdRAZBe4+6zCLpebmgrAmZ2OMG45v+R8tK2uy9NJfgWP59gB/S+Tkqw4FaI1xF0E9WE0wYSjIT5A4JvwmcQ7NjoYJsvANPNbGz4/CsEw/Oms/0qggHq5rv7DwhGdpyw23aeBD5nZqXhvSnuJxiGOFyFTQofn8+uI1N2ZR07v5335K53Z5tZgQV3xDqN4N/cWVbpB3QWkPS2swi+JS4ws2ZgA0Ff8cyU1+xnZm1DEX8qHN3wGeB2M1vzPrb9Y4LP9J/D/ngI+v9vJihMjQQ7tWIzKyHoQ99lm+HB3q8A94UjMC4H0jp9092rzewm4CUzqwGc4KB1ITDAzO7w4HZ/EwkKTYKgO+d2ggOrG4BrLLjX8GsExyvSdRXwSwvuFft4N5Zrs5zgeEcR8F/u/gbwRidZpR/QWUDSp9rO2OnilNCcE7Y4Zrr72AxHkRyiLiARkRylFoCISI5SC0BEJEepAIiI5CgVABGRHKUCICKSo1QARERy1P8H7XoYzuH2ctgAAAAASUVORK5CYII=\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -1215,28 +1301,54 @@
}
],
"source": [
- "plt.plot(loss_history)\n",
- "plt.xlabel('Optimization step number')\n",
- "plt.ylabel('Cross-entropy loss');"
+ "plt.scatter(net[2].weight.data.reshape(-1), net[2].weight.grad.reshape(-1), s=1);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The trained network does a good job of matching the targets:"
+ "Note that the normalization of the loss function feeds directly into these gradients, so needs to be considered when setting the learning rate:"
]
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": 43,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0: IN (500, 100) OUT (500, 200)\n",
+ "1: IN (500, 200) OUT (500, 200)\n",
+ "2: IN (500, 200) OUT (500, 100)\n",
+ "3: IN (500, 100) OUT (500, 100)\n",
+ "4: IN (500, 100) OUT (500, 10)\n",
+ "4: GRAD (500, 10)\n",
+ "3: GRAD (500, 100)\n",
+ "2: GRAD (500, 100)\n",
+ "1: GRAD (500, 200)\n",
+ "0: GRAD (500, 200)\n"
+ ]
+ }
+ ],
+ "source": [
+ "Xout = net(Xin)\n",
+ "loss = 100 * torch.mean(Xout ** 2)\n",
+ "loss.backward()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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\n",
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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -1244,189 +1356,210 @@
}
],
"source": [
- "plt.scatter(Y, Y_out, s=100, marker='o', alpha=0.2);\n",
- "plt.xlabel('Target value')\n",
- "plt.ylabel('Network output');"
+ "plt.scatter(net[2].weight.data.reshape(-1), net[2].weight.grad.reshape(-1), s=1);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Loss Functions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "Note that our training found a different solution than our by-hand optimization above. This is typical when training neural networks, since their loss functions are generally not convex and have a large number of local optima."
+ "In order discover a good set of parameters using optimization, we need to specify a loss function to optimize.\n",
+ "\n",
+ "The loss function $\\ell(X_\\text{out}, Y_\\text{tgt})$ compares the actual network output $X_\\text{out}$ with a corresponding target value $Y_\\text{tgt}$ and approaches some minimum value as their agreement improves.\n",
+ "\n",
+ "A loss function must be scalar valued since we need a single gradient for each parameter to implement gradient descent,\n",
+ "$$\n",
+ "\\theta \\rightarrow \\theta - \\eta\\,\\frac{\\partial\\ell}{\\partial\\theta} \\; .\n",
+ "$$\n",
+ "Note that the loss normalization is degenerate with the learning rate $\\eta$.\n",
+ "\n",
+ "Our choice of loss function is primarily driven by the type of problem we are solving: regression or classification. We introduce the most obvious choices below but there are lots of reasonable variations (see [here](https://pytorch.org/docs/stable/nn.html#id51) for the complete PyTorch list)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "### Nonlinear Regression"
+ "#### Regression Loss"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "For a nonlinear regression example, we return to the spectral dataset we used [earlier](Dimensionality.ipynb):"
+ "For regression, the $L_2$ norm is a popular choice,\n",
+ "$$\n",
+ "L_2 = \\frac{1}{2}\\, \\left|\n",
+ "X_\\text{out} - Y_\\text{tgt}\\right|^2 \\; .\n",
+ "$$\n",
+ "Optimizing the $L_2$ norm is equivalent to finding the maximum-likelihood (ML) point estimate for the network parameters (weights and biases) if we assume that the uncertainties in $Y_\\text{tgt}$ are \"homoscedastic\" (drawn from the same Gaussian distribution).\n",
+ "\n",
+ "In PyTorch, the $L_2$ norm is implemented as [torch.nn.MSELoss](https://pytorch.org/docs/stable/nn.html#mseloss):"
]
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
- "X = pd.read_hdf(locate_data('spectra_data.hf5')).values\n",
- "Y = pd.read_hdf(locate_data('spectra_targets.hf5')).values"
+ "Y = torch.zeros_like(Xout)\n",
+ "loss = torch.nn.MSELoss()(Xout, Y)"
]
},
{
- "cell_type": "code",
- "execution_count": 34,
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
"source": [
- "for i in range(5):\n",
- " plt.plot(X[i], '.', label='{:5.1f} {:5.1f}'.format(*Y[i]))\n",
- "L = plt.legend(fontsize='x-large')\n",
- "plt.setp(L.texts, family='Consolas');"
+ "In case you actually have a reasonable estimate $\\sigma_Y^i$ of the $i$-th sample's target uncertainty, a better loss function is the $\\chi^2$ statistic:\n",
+ "$$\n",
+ "\\chi^2 = \\sum_{i=1}^N\\, \\left( \\frac{X_\\text{out}^i - Y_\\text{tgt}^i}{\\sigma_Y^i}\\right)^2 \\; .\n",
+ "$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "With a 500-dimensional feature space, this dataset's 200 samples are too sparse to expect reasonable learning performance. However, the problem becomes tractable if we first perform a linear dimensionality reduction:"
+ "#### Binary Classification Loss"
]
},
{
- "cell_type": "code",
- "execution_count": 35,
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [],
"source": [
- "from sklearn import decomposition"
+ "For binary classification problems, the L2 norm can also be used but the binary [cross entropy](https://en.wikipedia.org/wiki/Cross_entropy) between the target and output probability distributions is often a better choice:\n",
+ "$$\n",
+ "\\text{BCE} \\equiv -\\sum_{i=1}^N\\, \\left[\n",
+ "Y_{tgt}^i \\log \\phi_S(X_\\text{out}^i) + (1 - Y_\\text{tgt}^i) \\log (1 - \\phi_S(X_\\text{out}^i)) \\right]\n",
+ "$$\n",
+ "where $\\phi_S$ is the sigmoid (aka logistic) activation function used to coerce arbitrary real values into the range $[0,1]$ required for a probability. The value $X_\\text{out}^i$ feeding a sigmoid like this is known as a [logit](https://en.wikipedia.org/wiki/Logit).\n",
+ "\n",
+ "The equivalent PyTorch code uses [torch.nn.BCELoss](https://pytorch.org/docs/stable/nn.html#bceloss):"
]
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
- "Xr = decomposition.NMF(n_components=3).fit_transform(X)"
+ "Xout = torch.ones(10)\n",
+ "Y = torch.zeros(10)\n",
+ "loss = torch.nn.BCELoss()(Xout, Y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "Use a network with one hidden layer of 6 nodes and RELU activation:"
+ "The cross entropy is inspired by information theory and closely related to the KL divergence we met [earlier](Variational.ipynb). With this approach, our assumptions are that:\n",
+ " - The target values in $Y_{tgt}$ are all either 0 or 1.\n",
+ " - The network output values in $X_{out}$ are continuous and $\\phi_S(y^{out}_i)$ is interpreted as the corresponding probability that the output is 1.\n",
+ " \n",
+ "Note that *something* like the second assumption is necessary to reconcile the different domains of the data and prediction.\n",
+ "\n",
+ "With these assumptions, the likelihood is:\n",
+ "$$\n",
+ "P(Y_\\text{tgt}\\mid X_\\text{out}) = \\begin{cases}\n",
+ "\\phi_S(X_\\text{out}) & Y_\\text{tgt} = 1 \\\\\n",
+ "1 - \\phi_S(X_\\text{out}) & Y_\\text{tgt} = 0\n",
+ "\\end{cases}\n",
+ "$$\n",
+ "Take a minute to convince yourself that the following expression is equivalent (the case $\\phi_S(X_\\text{out}(\\Theta)) = Y_\\text{tgt} = 0$ requires some care since $0^0$ is indeterminate):\n",
+ "$$\n",
+ "P(Y_\\text{tgt}\\mid X_\\text{out}(\\Theta)) = \\left[\\phi_S(X_\\text{out}(\\Theta))\\right]^{Y_\\text{tgt}}\\,\n",
+ "\\left[1 - \\phi_S(X_\\text{out}(\\Theta))\\right]^{1-Y_\\text{tgt}} \\; .\n",
+ "$$\n",
+ "Using this form, you can show that the cross entropy loss equals the negative-log-likelihood of the $N$ samples of training data so optimizing BCE is equivalent to finding the ML point estimate of the network parameters under the assumptions above.\n",
+ "\n",
+ "For fixed training data, optimizing BCE is also equivalent to minimizing the KL divergence of the network's predicted discrete probability distribution with respect to the empirical discrete probability distribution of the training data. Therefore, training a binary classification network using the cross-entropy loss is effectively performing a variational inference (VI) to find the network probabilities that are closest to the empirical training probabilities."
]
},
{
- "cell_type": "code",
- "execution_count": 37,
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [],
"source": [
- "n_in, n_hidden, n_out = 3, 6, 2\n",
- "with graph.as_default():\n",
- " tf.set_random_seed(123)\n",
- " # Feed the input layer from an external dataset.\n",
- " X_train = tf.placeholder(tf.float32, [None, n_in])\n",
- " # Define the hidden layer using random parameters and RELU activation.\n",
- " W_hidden = tf.Variable(tf.random_normal([n_hidden, n_in]))\n",
- " b_hidden = tf.Variable(tf.random_normal([n_hidden]))\n",
- " hidden = tf.nn.relu(tf.transpose(tf.matmul(W_hidden, X_train, transpose_b=True)) + b_hidden)\n",
- " # Define the output layer without any activation.\n",
- " W_out = tf.Variable(tf.random_normal([n_out, n_hidden]))\n",
- " b_out = tf.Variable(tf.random_normal([n_out]))\n",
- " y_out = tf.transpose(tf.matmul(W_out, hidden, transpose_b=True)) + b_out\n",
- " # Feed the target outputs from an external dataset.\n",
- " y_train = tf.placeholder(tf.float32, [None, n_out])\n",
- " # Calculate the cross-entropy loss between y_train and y_out.\n",
- " loss = tf.nn.l2_loss(y_out - y_train)\n",
- " # Prepare an optimizer to minimize the loss.\n",
- " optimizer = tf.train.AdamOptimizer(learning_rate=0.01)\n",
- " step = optimizer.minimize(loss)\n",
- " # Initialize all parameters.\n",
- " initialize = tf.global_variables_initializer()"
+ "#### Multi-category Classification Loss"
]
},
{
- "cell_type": "code",
- "execution_count": 38,
+ "cell_type": "markdown",
"metadata": {},
- "outputs": [],
"source": [
- "with tf.Session(graph=graph) as session:\n",
- " tf.set_random_seed(123)\n",
- " session.run(initialize)\n",
- " loss_history = []\n",
- " for i in range(500):\n",
- " session.run(step, feed_dict={X_train: Xr, y_train: Y})\n",
- " loss_history.append(session.run(loss, feed_dict={X_train: Xr, y_train: Y}))\n",
- " Y_out = session.run(y_out, feed_dict={X_train: Xr})"
+ "How can we generalize the binary classification cross-entropy loss to problems with more than two categories? The usual approach is to increase the number of output nodes from 1 to the number of categories $C$,\n",
+ "but we can not directly interpret their values as category probabilities since there is no way to ensure that they sum to one. We could simply require that they are all non-negative and renormalize, but a more more robust approach is to convert the vector of output values $X_\\text{out}$ to a corresponding vector of probabilities $\\mathbf{p}$ for category $j = 1, 2, \\ldots, C$ using the **softmax function**,\n",
+ "$$\n",
+ "\\mathbf{p}(X_\\text{out}) \\equiv \\frac{1}{\\sum_{k=1}^C\\, \\exp(X_\\text{out}^k)}\\,\n",
+ "[ \\exp(X_\\text{out}^1), \\exp(X_\\text{out}^2), \\ldots, \\exp(X_\\text{out}^C) ] \\; ,\n",
+ "$$\n",
+ "which works fine with positive or negative outputs $X_\\text{out}^j$. Note that softmax generalizes the sigmoid function $\\phi_S$ in the following sense:\n",
+ "$$\n",
+ "\\mathbf{p}([y_1, y_2]) = [\\,\\phi_S(y_1-y_2)\\,,\\, 1 - \\phi_S(y_1-y_2)\\,] \\; .\n",
+ "$$"
]
},
{
- "cell_type": "markdown",
+ "cell_type": "code",
+ "execution_count": 47,
"metadata": {},
+ "outputs": [],
"source": [
- "The L2 loss decreases nicely:"
+ "def softmax(y):\n",
+ " # subtract out max(y) improve the numerical accuracy\n",
+ " expy = np.exp(y - np.max(y))\n",
+ " return expy / expy.sum()"
]
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
- ""
+ "array([0.26538793, 0.01321289, 0.72139918])"
]
},
+ "execution_count": 48,
"metadata": {},
- "output_type": "display_data"
+ "output_type": "execute_result"
}
],
"source": [
- "plt.plot(loss_history)\n",
- "plt.xlabel('Optimization step number')\n",
- "plt.ylabel('L2 loss');"
+ "softmax([2, -1, 3])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
- "The network also does a good job of predicting the true fluxes of each peak:"
+ "The softmax function effectively implements a *winner takes all* policy, similar to the sigmoid activation $\\phi_S$, as illustrated in the plot below where:\n",
+ " - the color scale indicates, from left to right, $p_1, p_2$ and $p_3$ for three categories,\n",
+ " - $y_1$ and $y_2$ are varied over the same range, and\n",
+ " - $y_3$ is fixed to the middle of this range."
]
},
{
"cell_type": "code",
- "execution_count": 40,
- "metadata": {},
+ "execution_count": 49,
+ "metadata": {
+ "scrolled": true
+ },
"outputs": [
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -1434,40 +1567,55 @@
}
],
"source": [
- "plt.scatter(Y[:, 0], Y_out[:, 0], s=50, marker='+', label='Peak-1 flux')\n",
- "plt.scatter(Y[:, 1], Y_out[:, 1], s=50, marker='x', label='Peak-2 flux')\n",
- "plt.xlabel('True flux')\n",
- "plt.ylabel('Predicted flux')\n",
- "plt.legend(fontsize='x-large');"
+ "def plot_softmax(ylo, yhi, n=100):\n",
+ " y_grid = np.linspace(ylo, yhi, n)\n",
+ " y3 = 0.5 * (ylo + yhi)\n",
+ " p_grid = np.array([softmax([y1, y2, y3]) for y1 in y_grid for y2 in y_grid]).reshape(n, n, 3)\n",
+ " _, ax = plt.subplots(1, 3, figsize=(10.5, 3))\n",
+ " for k in range(3):\n",
+ " ax[k].imshow(p_grid[:, :, k], interpolation='none', origin='lower', extent=[ylo, yhi, ylo, yhi])\n",
+ " ax[k].set_xlabel('$y_1$')\n",
+ " ax[k].set_ylabel('$y_2$')\n",
+ " if k != 0: ax[k].axvline(y3, c='gray', ls='--')\n",
+ " if k != 1: ax[k].axhline(y3, c='gray', ls='--')\n",
+ " if k != 2: ax[k].plot([ylo, yhi], [ylo, yhi], c='gray', ls='--')\n",
+ " ax[k].grid(False)\n",
+ " \n",
+ "plot_softmax(0, 15)"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden",
- "solution2_first": true
- },
+ "metadata": {},
+ "source": [
+ "The example above assumed output activations that can be large and positive, such as `relu` or `elu`. However, the strength of the *winner takes all* effect depends on how the outputs are scaled, and is relatively weak for output activations that saturate on both sides, such as `sigmoid` or `tanh`, which is why these are generally not used for classification outputs:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
"source": [
- "**EXERCISE:** Experiment with this [interactive 1D regression neural network](https://cs.stanford.edu/people/karpathy/convnetjs/demo/regression.html).\n",
- " - Inspect the code in the upper box and describe the network architecture. (Hint `fc` stands for \"fully connected\").\n",
- " - Explain why the prediction is asymptotically flat as $x\\rightarrow \\pm \\infty$.\n",
- " - Predict what would happen if you changed the activation function of the second layer from `sigmoid` to `relu`, then try it and see."
+ "plot_softmax(-1, +1)"
]
},
{
"cell_type": "markdown",
- "metadata": {
- "solution2": "hidden"
- },
+ "metadata": {},
"source": [
- "The network has four layers:\n",
- " - LYR1: n_in = 1, n_out = 20, activation=relu\n",
- " - LYR2: n_in = 20, n_out= 20, activation=sigmoid\n",
- " - LYR3: n_in = 20, n_out = 1, activation=linear\n",
- "\n",
- "The prediction is asymptotically flat as $x\\rightarrow \\pm \\infty$ because of the sigmoid activation in the second layer. Changing this activation to relu should give linear asymptotic behavior.\n",
- "\n",
- "---"
+ "Note that we assume **one-hot encoding** of the vector target values $\\mathbf{y}^{out}$, which is not very efficient (unless using sparse-optimized data structures) compared to a single integer target value $y^{train} = 0, 1, \\ldots, C-1$. However, sklearn has a [convenient utility](http://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.OneHotEncoder.html) to convert integers to one-hot encoded vectors (use `sparse=True` to return vectors in an efficient [scipy sparse array](https://docs.scipy.org/doc/scipy/reference/sparse.html))."
]
}
],
@@ -1487,7 +1635,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.4"
+ "version": "3.7.5"
}
},
"nbformat": 4,
diff --git a/notebooks/OptimalCompression.ipynb b/notebooks/OptimalCompression.ipynb
new file mode 100644
index 0000000..a3cb5de
--- /dev/null
+++ b/notebooks/OptimalCompression.ipynb
@@ -0,0 +1,1437 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Machine Learning and Statistics for Physicists"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**This notebook is still in development.**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n",
+ "\n",
+ "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n",
+ "\n",
+ "[Table of contents](Contents.ipynb)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns; sns.set()\n",
+ "import numpy as np\n",
+ "import pandas as pd"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We will use the sklearn [decomposition module](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.decomposition) below:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 146,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn import neighbors, mixture"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Background"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import scipy.stats"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 203,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "model1 = lambda theta: scipy.stats.multivariate_normal([theta, 0.], [[1., -1], [-1, 2.]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 199,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "model2 = lambda theta: scipy.stats.multivariate_normal([0., 0.], [[np.exp(theta), -np.exp(theta/2)], [-np.exp(theta/2), 2.]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 200,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "model3 = lambda theta: scipy.stats.multivariate_normal([theta, 0.], [[np.exp(theta), -np.exp(theta/2)], [-np.exp(theta/2), 2.]])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def grid_list(*grids):\n",
+ " D = len(grids)\n",
+ " shape = [len(grid) for grid in grids] + [D]\n",
+ " G = np.empty(shape)\n",
+ " axis_shape = np.ones(D, dtype=int)\n",
+ " axis_shape[0] = -1\n",
+ " for d in range(D):\n",
+ " G[...,d] = np.reshape(grids[d], axis_shape)\n",
+ " axis_shape = np.roll(axis_shape, 1)\n",
+ " return G"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 59,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def compress(X, mu, C_inv, mu_grad, C_grad):\n",
+ " D = len(mu)\n",
+ " delta = X.reshape(-1, D) - mu\n",
+ " Cd = C_inv.dot(delta.T)\n",
+ " t_linear = mu_grad.T.dot(Cd)\n",
+ " t_quad = 0.5 * np.sum(delta * (C_inv.dot(C_grad.dot(Cd))).T, axis=1)\n",
+ " return t_linear + t_quad"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 230,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def study(model, theta0, dtheta, theta_min, theta_max, tobs, bw,\n",
+ " xlim=5, ngrid=100, ngen=1000, nprior=10000, nsig=3., seed=123):\n",
+ " # Create the base and perturbed models.\n",
+ " M0 = model(theta0)\n",
+ " Mp = model(theta0 + dtheta)\n",
+ " Mm = model(theta0 - dtheta)\n",
+ " # Define the plot region.\n",
+ " x = np.linspace(-xlim, +xlim, ngrid)\n",
+ " x12 = grid_list(x, x)\n",
+ " # Calculate the -log(likelihood) for the models.\n",
+ " NLL0 = -M0.logpdf(x12).T + M0.logpdf(M0.mean)\n",
+ " NLLp = -Mp.logpdf(x12).T + Mp.logpdf(Mp.mean)\n",
+ " NLLm = -Mm.logpdf(x12).T + Mm.logpdf(Mm.mean)\n",
+ " \n",
+ " fig, axes = plt.subplots(1, 2, figsize=(10, 5))\n",
+ " \n",
+ " ax = axes[0]\n",
+ " # Plot the base model NLL.\n",
+ " ##plt.imshow(NLL0, interpolation='none', extent=[-xlim, xlim, -xlim, xlim], origin='lower')\n",
+ " # Plot the n-sigma contour and mean of the base model.\n",
+ " ax.contour(x, x, NLL0, levels=[nsig], colors='g', zorder=10, linewidths=2, alpha=0.85)\n",
+ " #ax.scatter(*M0.mean, marker='+', s=100, c='b', zorder=10)\n",
+ " # Plot n-sigma contours of the perturbed models.\n",
+ " ax.contour(x, x, NLLp, levels=[nsig], colors='g', zorder=10, linewidths=2, linestyles='--')\n",
+ " ax.contour(x, x, NLLm, levels=[nsig], colors='g', zorder=10, linewidths=2, linestyles=':')\n",
+ " ax.plot([], [], 'g:', lw=2, label=f'$\\\\theta={theta0-dtheta:.1f}$')\n",
+ " ax.plot([], [], 'g-', lw=2, label=f'$\\\\theta={theta0:.1f}$')\n",
+ " ax.plot([], [], 'g--', lw=2, label=f'$\\\\theta={theta0+dtheta:.1f}$')\n",
+ " ax.legend()\n",
+ " ax.set_xlabel('$x_1$')\n",
+ " ax.set_ylabel('$x_2$')\n",
+ " \n",
+ " # Estimate the gradients of mu, C wrt to theta, evaluated at theta0.\n",
+ " mu_grad = (Mp.mean - Mm.mean) / (2 * dtheta)\n",
+ " C_grad = (Mp.cov - Mm.cov) / (2 * dtheta)\n",
+ " C_inv = np.linalg.inv(M0.cov)\n",
+ " \n",
+ " # Generate some samples from the base model.\n",
+ " gen = np.random.RandomState(seed)\n",
+ " X = M0.rvs(ngen, gen)\n",
+ "\n",
+ " # Calculate the quadratic function of (x1,x2) that \"optimally\" compresses\n",
+ " # the information available about theta (assuming theta ~ theta0).\n",
+ " t = compress(x12, M0.mean, C_inv, mu_grad, C_grad)\n",
+ " t = t.reshape(ngrid, ngrid).T\n",
+ " \n",
+ " I = ax.imshow(t, interpolation='none', origin='lower', extent=[-xlim, xlim, -xlim, xlim], zorder=-10)\n",
+ " #plt.colorbar(I, ax=ax)\n",
+ " \n",
+ " # Plot contours of constant t.\n",
+ " CS = ax.contour(x, x, t, colors='w', linestyles='-', linewidths=1, alpha=0.75)\n",
+ " plt.clabel(CS, inline=1, fontsize=11, fmt='%+.1f')\n",
+ " \n",
+ " # Plot the generated samples, colored according to t.\n",
+ " #t = compress(X, M0.mean, C_inv, mu_grad, C_grad)\n",
+ " #vmin, vmax = np.percentile(t, (2.5, 97.5))\n",
+ " #ax.scatter(X[:, 0], X[:, 1], lw=0, c=t, s=15, vmin=vmin, vmax=vmax)\n",
+ " ax.scatter(X[:, 0], X[:, 1], lw=0, c='gray', s=5)\n",
+ " \n",
+ " ax.set_xlim(-xlim, +xlim)\n",
+ " ax.set_ylim(-xlim, +xlim)\n",
+ " ax.set_aspect(1)\n",
+ " ax.grid(False)\n",
+ " \n",
+ " # Generate samples from the parameter prior.\n",
+ " theta = gen.uniform(theta_min, theta_max, size=nprior)\n",
+ " # Generate one realization of the data (x1,x2) for each prior sample.\n",
+ " X = np.empty((nprior, 2))\n",
+ " for i in range(nprior):\n",
+ " X[i] = model(theta[i]).rvs(1)\n",
+ " # Calculate the optimally compressed t for each realization.\n",
+ " t = compress(X, M0.mean, C_inv, mu_grad, C_grad)\n",
+ " \n",
+ " # Plot samples of the joint probability density P(theta, t).\n",
+ " ax = axes[1]\n",
+ " vmin, vmax = np.percentile(t, (1, 99))\n",
+ " ax.scatter(theta, t, lw=0, s=5, c='k')\n",
+ " ax.set_ylim(vmin, vmax)\n",
+ " ax.set_xlabel('$\\\\theta$')\n",
+ " ax.set_ylabel('$t$')\n",
+ " \n",
+ " # Build a KDE density estimate of the joint probability density.\n",
+ " kde = neighbors.KernelDensity(\n",
+ " kernel='gaussian', bandwidth=bw).fit(np.stack([theta, t], axis=1))\n",
+ " \n",
+ " # Overlay histograms of theta for fixed values of observed t.\n",
+ " tobs = np.atleast_1d(tobs)\n",
+ " rhs = ax.twinx()\n",
+ " grid = np.empty((100, 2))\n",
+ " grid[:, 0] = np.linspace(theta_min, theta_max, len(grid))\n",
+ " for t in tobs:\n",
+ " ax.axhline(t, c='r', lw=1)\n",
+ " grid[:, 1] = t\n",
+ " pdf = np.exp(kde.score_samples(grid))\n",
+ " rhs.fill_between(grid[:, 0], pdf, color='r', alpha=0.25)\n",
+ " rhs.plot(grid[:, 0], pdf, '-', lw=1, c='r')\n",
+ " rhs.set_ylim(0, None)\n",
+ " rhs.grid(False)\n",
+ " rhs.set_yticks([])\n",
+ " ax.grid(False)\n",
+ " ax.set_xlim(theta_min, theta_max)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 231,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Ky0fy4IMPUVm5jcGDh9Dc3EROTg5dXV04HA66u7sJhUKEQmG6u32UlZURDIZx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\nVGU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+nAsh/isAr7m+Wzab/bTC+2ee+S29vT20t3dy++2fLxh7Nje38Oqrr3DiRF/Bkf6N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uMTMBgEioomc+ONt7Jz5/sDRrjC0aoxmlOOgYCfrq5YqRVBEDCbzRiNRpxOJ1arlVAoRGJi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\nK90lvgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "study(model1, 0, 0.3, -5, 5, 1, 0.2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 232,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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QcOlqql4/FBLAK5YwU0hwb5kbFN9bM9zrQRG+xbEggMNvH+LGv7qRV5591eyL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mL+BlpfMpWTaPnJzppGfYAdi96zCAScPLKD1RWlpMeoadvl6HzhUbG3Oza9d+Ht76EP/7n54c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2fp0v/Ux/RoDU3dbjd1dV9SW1dH3ug86urrsFos+P1dBNQA+Xl5ZGePorz8ED6f72uDKZNi\nilkAP5TZrFZ9cPWJiFXzpVGMRlRVDfcQCwX2LreLtNQ0pk+fwT+2f4AlxUIwqGIwGJk48Wx9bFCk\ntNQ0Nmx4jPvuuztqzdoO2vi8PP5QG/tkCAm8hBCin1RVZe3atRw6dIiUlBR+/etfU1jY+2wyjQRe\nvRnr67D++QWsf3qewFkT8F77Q9TTC8H07VfA9CyCP959WmC1a9dOvQdW1ohsbDYLt9yyjC1bNutF\n3scTmaoSgyOyp9hATDhrIofLu/udZY3Iorm5KSpoyxoxgtbWVv1npz1nft4YTCaF1tZWWlpbwmdW\nGvR0aUFODv/b0EAsEngJIUQ//e1vf+Pvf/87Dz/8MGVlZfzud79j48aNfR4vgVeIoaEBy7tbsGx5\nE9Pnu+icN5/OWXNR8/Koszf0Oruvp1gBk3Zb5NmC3//+PLZt24rH48Fms+nXATIzR/Dmm/+n1/Uo\nioLX6+WSS75LZWU5zc1Nej8qxWjEYDD0+0w8kRxyRuXg8Xhwh7vq96yPMwDWiF24yODZbDLh7+pC\nMRrJzh5FYWEhn+3aqR9jAd7tI7ySwCuGyspKrr/+ej7++GMsx2nmlqja29tZtWoVHR0d+P1+fvaz\nnzF16tR4L6tf+rujkMj8fj+rV6+mtraWzs5Oli1bxrx58+K9rAFzOp0sWrSI5557jvHjk7eh5YlY\nv349kydP5sorrwRg5syZfPjhh30ev89g4LyTtTghRNwtoO/AS85q7KGjo4NHHnmElOMU5CW6P/7x\nj1xyySUsXbqUI0eOcN999/H666/He1n98v7779PZ2UlpaSllZWU8/PDDx91RSGRvvPEGmZmZbNiw\ngZaWFq655pqkDbz8fj9r1qzBepwi2FNBR0cH6RFnLSmKQldXF6Y+0mQ14a+BGKxR0IYe3/t7m/Zl\nJDTcXAFSAAtgBTLCXwrgBBqBWuAroBqoAhqA6CEwQgxNx9uykcArQjAY5Be/+AX33nsvd9xxR7yX\nM2BLly7VA8dAIJCUu3a7d+9m5syZAFxwwQXs27cvzisauMsvv5wFCxYAod8xJYm7bz/yyCMUFxfz\nzDPPxHspcZWeno7L5dKvq6raZ9AF8BMgVj/+HmNXT9jXPV7P+/vzvH0FYpFfwfBXAPBzYq0HhOiL\nkdA8WO13Trvek3a/WVE488wzKS8vpyuizs4AZA4fTorFgtVioebYMQwQ6hmmKHi8XkwmEy6XS38e\ns9nMsOHDcTQ2kp6WRofLRXpaGrm5uRytqWH06NE0NDQQPE56+pQNvF555RVeeOGFqNvy8vJYuHAh\nZ599dpxW1X+xXsdDDz3E5MmTcTgcrFq1itWrV8dpdQPX3x2FRJYW7rjd0dHB3XffzYoVK+K8ooHZ\ntGkTWVlZzJw585QPvC688EK2bdvGwoULKSsrY8KECcc9vl4qOoQQYVLjFWH+/PmcdtppAJSVlTF5\n8mRefPHFOK9qYA4dOsS9997L/fffz+zZs+O9nH5bv349U6ZMYeHChQDMmjWL7du3x3lVA1dfX8+d\nd97J4sWLue666+K9nAFZsmQJBoMBg8HAwYMHGTt2LBs3bmTUqP4Pnk92Wg3i4cOHCQaDPPTQQ6ds\nvZsQon8k8OrD3Llzefvtt5MyTVdRUcHy5cv5zW9+k1S7d5Heffddtm3bpp819tRTT/H73/8+3ssa\nkMbGRkpKSlizZg2XXnppvJczKEpKSli7dq0EG0II0U/Jl7cRX+vRRx+ls7OTdevWAaF6lGQrTJ8/\nfz4fffQRxcXF+o5Csvrtb39LW1sbTz/9NE8/Hepm/eyzz57yBepCCHEqkh0vIYQQQoiTJLFmMggh\nhBBCDGESeAkhxBBSWVnJtGnT8PmSt2NWe3s7t99+OzfeeCNFRUV88cUX8V5Sv6iqypo1aygqKqKk\npISamoF2cYs/v9/PqlWr9BODtm7dGu8lnRCn08ns2bOprKyM2xqkxksIIYaIodAAGpK/CbQ0gE5M\nidIAWna8hBBiCIhsAG2z2eK9nBOydOlSiouLgeRsAj3UGkDfc889wNBpAJ2TkxPXdciOlxBCJJmh\n0gAahmYTaGkAnXgSqQG0nNUohBBDwFBqAA3J3QRaGkAnnkRqAJ184bcQQohe3nvvPf3y3Llzee65\n5+K4mhNTUVHBPffck7RNoPs7UiqRNTY2cvPNNyd9A+jIP0K0BtDxmrohNV4ioTz44IM8+eSTAFRX\nV7NgwQL279/PokWLmDp1apxXJ4Q4GSKbQJeUlLBs2bJ4L6lf5s+fT0pKCsXFxaxfv54HH3ww3ksa\nsMgG0CUlJZSUlOD1euO9rKQmqUaRUBoaGli0aBHPPvssP/3pT/nVr37FlClTcLlcrFixgueffz7e\nSxRCCCEGTFKNIqHk5uZyzTXXsGTJEp544gmmT58OQGZmZpxXJoQQQpw4STWKhOJ0Otm+fTupqank\n5eXFezlCCCHEoJLASySMtrY2brnlFu666y6WL1/Ohg0b4r0kIYQQYlBJ4CUSgsfj4bbbbuOGG27g\nsssu40c/+hFVVVXs2LEj3ksTQgghBo0U14uksHTpUg4ePMikSZNYvXp1Up+eLYQQ4tQlgZcQQggh\nxEkiqUYhhBBCiJNEAi8hhBBikJWWlnL11Vczd+5cHn/88XgvRyQQCbyEEEKIQfTOO+/w6aef8uqr\nr7J582ZeeeUV7HZ7vJclEoQ0UBVCCCEGiaqqPPbYY7z88suYzWbMZjO5ubkcOXKEnJyceC9PJAAJ\nvIQQQohB8vnnn9PY2MhNN92k31ZRUUFWVlYcVyUSiQReQgghxCDZt28f119/PQ888AAA5eXlFBcX\nM3bs2PguTCQMqfESQgghBklzczM2m02//s477zBv3jxSUlLiuCqRSCTwEkIIIQbJGWecwe7du4HQ\nbtdrr73GypUr47wqkUikgaoQQggxSDweD8uXL6eqqors7GxWr17N1KlT470skUAk8BJCCCGEOEkk\n1SiEEEIIcZJI4CWEEEIIcZJI4CWEEEIIcZJI4CWEEEIIcZJI4CWEEEIIcZJI4CWEEEIIcZJI4CWE\nEEIIcZJI4CWEEEIIcZL8P3A27Omtva3iAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "study(model2, 0, 0.3, -5, 5, 1, 0.2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 233,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Wu6D1dLQQI0QT7JMJbS4kBJqSHi+N1toW1m8rCyXbvwWoPdkY83UmbHYb42Me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W/uo625l4raUjKz0qioLaWuyUZaRipzsw5uXO7kyLEG0tJTMJqS8Lh9TI7P4l8KkJFlJi0zha6b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\nKL/jajQ6HR1/eI+hE+exdQ8zcboDz5CVkruuoe/N00pYMRZylBPuxbiQo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JWcEIiKq0p2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4HAlCd84Pwa7BkB7iZpHqGyg8U0q9SqVeDTVz5LFbcBtnCHAyI5cGu5PbJozh4L50L+xW0/rU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\nt3tS1gjTIOA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K9ep+rsZxtB4PM037ZUNJ7aKXH4C0jfvO7s3ilkfv4fRXB5s9xDQ+FKn+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\nY48j6rooQQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "study(model3, 0, 0.15, -5, 5, 1, 0.2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**TODO:**\n",
+ " - Study with non-Gaussian likelihood in data inputs (using Gaussian approx vs true likelihood).\n",
+ " - Study impact of true theta != theta_star used for compression: should only be loss of optimality, not a bias?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Generate Data"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We will use the same model that generated the `spectra_data` of the [dimensionality reduction]() notebook:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "from mls import locate_data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "spectra_data = pd.read_hdf(locate_data('spectra_data.hf5'))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "for i in range(10):\n",
+ " plt.plot(spectra_data.iloc[i], '.', ms=2)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Each sample is a graph of a smooth function with some noise added. The smooth function has three distinct components: \n",
+ "- two peaks, with fixed locations and shapes, and normalizations that vary independently.\n",
+ "- a smooth background with no free parameters.\n",
+ "Since the data could be reproduced with just normalization parameters (except for the noise), it has an effective dimensionality of $d=2$.\n",
+ "\n",
+ "Note that the relative normalization of each feature is significant here, so we would not want to normalize this data and lose this information. We refer to each sample as a \"spectrum\" since it looks similar to spectra obtained in different areas of physics (astronomy, nuclear physics, particle physics, ...)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Model-Driven Optimal Compression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Most dimensionality reduction methods assume that variance is a good proxy for \"information\". However, when you have a good generative model of your data, you can do much better. In particular, there is an optimal compression algorithm for data generated by a model with $n$ parameters that will reduce your whole dataset down to $n$ numbers! \n",
+ "\n",
+ "See this [Alsing 2018 paper](https://doi.org/10.1093/mnras/sty819) titled *Massive optimal data compression and density estimation for scalable, likelihood-free inference in cosmology* for the details.\n",
+ "\n",
+ "To start, we need a **generative model** for our data, i.e., a python function that takes a vector of parameter values $\\theta$ as input and uses random numbers to generate a **realization** $X$ of the data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "import scipy.stats"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 131,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def generate_data(theta, gen, N=200, D=100, batchsize=1, noise_rms=20.):\n",
+ " \"\"\"Generate a random realization of the dataset.\n",
+ " \n",
+ " Parameters\n",
+ " ----------\n",
+ " theta : array\n",
+ " Array of input parameters to use.\n",
+ " gen : np.random.RandomState\n",
+ " Random number generator to use for reproducible results.\n",
+ " N : int\n",
+ " Number of samples in one dataset.\n",
+ " D : int\n",
+ " Number of spectrum bins (features) to use for each sample.\n",
+ " batchsize : int\n",
+ " Number of data samples to generate in a batch.\n",
+ "\n",
+ " Returns\n",
+ " -------\n",
+ " array\n",
+ " Array X of generated data with shape (batchsize, N, D).\n",
+ " \"\"\"\n",
+ " # Decode model parameters.\n",
+ " (x1, x2, # peak positions\n",
+ " sig1, sig2, # peak Gaussian widths\n",
+ " loc1, scale1, # Rayleigh params for peak1 flux\n",
+ " loc2, scale2, # Rayleigh params for peak2 flux\n",
+ " pk1frac, # frac of spectra with peak 1\n",
+ " pk1and2, # frac of spectra with peak 1 that also have peak 2\n",
+ " pk2only, # frac of spectra w/o peak 1 that have peak 2\n",
+ " bg0, bg1, bg2, # background shape polynomial coefs\n",
+ " )= theta\n",
+ " \n",
+ " size = (batchsize, N)\n",
+ " \n",
+ " # Generate fluxes in two peaks\n",
+ " x = np.linspace(0., 1., D)\n",
+ " f1 = scipy.stats.rayleigh.rvs(loc=loc1, scale=scale1, size=size, random_state=gen)\n",
+ " f2 = scipy.stats.rayleigh.rvs(loc=loc2, scale=scale2, size=size, random_state=gen)\n",
+ " \n",
+ " # pk1frac of spectra have peak 1.\n",
+ " R = gen.uniform(size=size)\n",
+ " p1 = R < pk1frac\n",
+ " # pk1and2 of spectra with peak 1 also have peak 2.\n",
+ " # pk2only of spectra without peak 1 have peak 2.\n",
+ " R = gen.uniform(size=size)\n",
+ " p2 = (p1 & (R < pk1and2)) | (~p1 & (R < pk2only))\n",
+ " f1[~p1] = 0.\n",
+ " f2[~p2] = 0.\n",
+ "\n",
+ " # A smooth background component has constant shape and normalization.\n",
+ " bg = bg0 + bg1 * x + bg2 * x ** 2\n",
+ " \n",
+ " # Calculate normalized peak shapes.\n",
+ " pk1 = np.exp(-0.5 * ((x - x1) / sig1) ** 2) / (np.sqrt(2 * np.pi) * sig1)\n",
+ " pk2 = np.exp(-0.5 * ((x - x2) / sig2) ** 2) / (np.sqrt(2 * np.pi) * sig2)\n",
+ "\n",
+ " # Generate smooth spectra.\n",
+ " data = bg + f1[..., np.newaxis] * pk1 + f2[..., np.newaxis] * pk2\n",
+ " \n",
+ " # Add constant noise fluctuations.\n",
+ " data += gen.normal(scale=noise_rms)\n",
+ " \n",
+ " return data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 130,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "20.0"
+ ]
+ },
+ "execution_count": 130,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "np.sqrt(400.)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Our model has 14 parameters $\\theta$ which we need to specify in order to generate data. Pick a \"fiducial\" reference set $\\theta_\\ast$ to use below:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 105,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "theta_star=(0.30, 0.55, 0.05, 0.12, 50., 50., 20., 50., 0.5, 0.3, 0.7, 500., -500., 200.)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 136,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "pnames = ('x1', 'x2', 'sig1', 'sig2', 'loc1', 'scale1', 'loc2', 'scale2',\n",
+ " 'pk1frac', 'pk1and2', 'pk2only', 'bg0', 'bg1', 'bg2')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We also need to specify a prior probability density in the parameters, which we take to be uniform:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 132,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "theta_min=(0.25, 0.50, 0.02, 0.10, 30., 30., 15., 30., 0.2, 0., 0., 300., -450., 190.)\n",
+ "theta_max=(0.50, 0.75, 0.06, 0.15, 60., 60., 25., 60., 0.8, 1., 1., 600., -550., 210.)\n",
+ "assert np.all((theta_star >= theta_min) & (theta_star <= theta_max))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate samples from the parameter prior:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 133,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def generate_params(n, gen):\n",
+ " return gen.uniform(low=theta_min, high=theta_max, size=(n, len(theta_min)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Generate a batch of 10 realizations:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 108,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "gen = np.random.RandomState(seed=123)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 109,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "X = generate_data(theta_star, gen, batchsize=10)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 110,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(10, 200, 100)"
+ ]
+ },
+ "execution_count": 110,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X.shape"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Stage-1 Compression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The first stage of compression transforms a $N\\times D$ dataset $X$ into a set of summary statistics $\\mathbf{d}$ that contains fewer values than the $N D$ values in the original dataset $X$. Note that the map is not a dataset, in the sense that it can have an arbitrary shape (which we will ignore and flatten out) and will not have an axis corresponding to sample number (instead, each value is a summary of all samples).\n",
+ "\n",
+ "For this example, we will simply calculate the mean and standard deviation of all spectra in each bin, so $X$ is compressed from $N\\times D$ to $2\\times D$ values:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 111,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "Stage1 = lambda X: np.hstack([np.mean(X, axis=1), np.std(X, axis=1)])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 114,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "S1 = Stage1(X)\n",
+ "B, D = S1.shape\n",
+ "for i in range(10):\n",
+ " plt.plot(X[0, i], '.', ms=2)\n",
+ "plt.plot(S1[0,:D//2], 'k-', label='mean')\n",
+ "plt.plot(S1[0,D//2:], 'k--', label='std')\n",
+ "plt.legend();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Stage-2 Compression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Online Statistics Accumulation"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Given the running estimates $(\\mu_N, C_N)$ after $n$ batches with a total of $N$ samples, and estimates $(\\mu, C)$ for the $n+1$-st batch of $B$ samples, the updated running estimates are:\n",
+ "$$\n",
+ "\\mu_{N+B} = \\mu_N + \\frac{B}{N+B} \\left(\\mu_B - \\mu_N\\right)\n",
+ "\\quad, \\quad\n",
+ "C_{N+B} = C_N + C_B + \\frac{N B}{N+B} \\left(\\mu_B - \\mu_N\\right)^T \\left(\\mu_N - \\mu_B\\right) \\; ,\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "class Accumulator(object):\n",
+ " \"\"\"Estimate the mean and covariance of data using a one-pass algorithm.\n",
+ " \n",
+ " Uses https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance#Online\n",
+ " The memory requirements are fixed.\n",
+ " \n",
+ " See also https://doi.org/10.1145/3221269.3223036 and\n",
+ " https://doi.org/10.1109/CLUSTR.2009.5289161\n",
+ " \"\"\"\n",
+ " def __init__(self, D):\n",
+ " self.mu_ = np.zeros(D)\n",
+ " self.C_ = np.zeros((D, D))\n",
+ " self.N_ = 0\n",
+ " def accumulate(self, data, batched=False):\n",
+ " data = np.asarray(data) \n",
+ " if batched:\n",
+ " B = len(data)\n",
+ " data = data.reshape(B, -1)\n",
+ " delta = np.mean(data, axis=0) - self.mu_\n",
+ " frac = B / (self.N_ + B)\n",
+ " self.mu_ += frac * delta\n",
+ " self.C_ += (B - 1) * np.cov(data, rowvar=False)\n",
+ " self.C_ += self.N_ * frac * delta.reshape(-1, 1) * delta\n",
+ " self.N_ += B\n",
+ " else:\n",
+ " delta = data - self.mu_\n",
+ " frac = 1 / (self.N_ + 1)\n",
+ " self.mu_ += frac * delta\n",
+ " self.C_ += self.N_ * frac * delta.reshape(-1, 1) * delta\n",
+ " self.N_ += 1\n",
+ " @property\n",
+ " def mu(self):\n",
+ " return self.mu_\n",
+ " @property\n",
+ " def C(self):\n",
+ " return self.C_ / (self.N_ - 1)\n",
+ " @property\n",
+ " def N(self):\n",
+ " return self.N_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 74,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "def test_accumulator(N=10000, B=100, seed=123):\n",
+ " \n",
+ " mu = np.array([-3., 2.])\n",
+ " C = np.array([[2., -0.5], [-0.5, 1.]])\n",
+ " gen = np.random.RandomState(seed)\n",
+ " X = gen.multivariate_normal(mu, C, size=N)\n",
+ "\n",
+ " mu_all = np.mean(X, axis=0)\n",
+ " C_all = np.cov(X, rowvar=False)\n",
+ "\n",
+ " S = Accumulator(2)\n",
+ " for d in X:\n",
+ " S.accumulate(d)\n",
+ " assert np.allclose(S.N, N)\n",
+ " assert np.allclose(S.mu, mu_all)\n",
+ " assert np.allclose(S.C, C_all)\n",
+ " \n",
+ " S = Accumulator(2)\n",
+ " X = X.reshape(B, N // B, 2)\n",
+ " for d in X:\n",
+ " S.accumulate(d, batched=True)\n",
+ " assert np.allclose(S.N, N)\n",
+ " assert np.allclose(S.mu, mu_all)\n",
+ " assert np.allclose(S.C, C_all)\n",
+ " \n",
+ "test_accumulator(B=1)\n",
+ "test_accumulator(B=10)\n",
+ "test_accumulator(B=100)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Optimal Compression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The optimally compressed variables are (from eqn (3)):\n",
+ "$$\n",
+ "\\mathbf{t} = \\nabla_\\theta\\mu_\\ast^T C_\\ast^{-1} \\left(\\mathbf{d}-\\mu_\\ast\\right) +\n",
+ "\\frac{1}{2} \\left(\\mathbf{d}-\\mu_\\ast\\right)^T C_\\ast^{-1} \\nabla_\\theta C_\\ast\n",
+ "C_\\ast^{-1} \\left(\\mathbf{d}-\\mu_\\ast\\right) \\; ,\n",
+ "$$\n",
+ "where $\\mathbf{d}$ is the input data $\\mathbf{D}$ after the first stage of compression, and $\\mu_\\ast$ and $C_\\ast$ are the mean and covariance of stage-1 compressed samples with gradients $\\nabla_\\theta\\mu_\\ast$ and $\\nabla_\\theta C_\\ast$ with respect to the generative model parameters $\\theta$. The asterisk indicates that these are evaluated at some fiducial set of parameters $\\theta_\\ast$.\n",
+ "\n",
+ "A practical algorithm for calculating $\\mu_\\ast$ and $C_\\ast$ and their gradients is:\n",
+ "```\n",
+ "initialize statistics accumulators\n",
+ "loop over trials:\n",
+ " generate a random dataset d_star with theta_star\n",
+ " accumulate mean and covariance statistics\n",
+ " loop over parameters j in theta:\n",
+ " perturb parameter j by +eps * theta_star[j]\n",
+ " generate a random dataset d_plus with the perturbed parameters\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 115,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "class OptimalCompresser(object):\n",
+ " def __init__(self, model, theta0, stage1, num_batches=10, batchsize=1000, seed=123, eps=0.005):\n",
+ " gen = np.random.RandomState(seed=seed)\n",
+ " # Calculate perturbed parameters.\n",
+ " theta0 = np.asarray(theta0)\n",
+ " thetap = theta0 * (1 + eps)\n",
+ " thetam = theta0 * (1 - eps)\n",
+ " # Initialize statistics.\n",
+ " D0 = stage1(model(theta0, gen, batchsize=batchsize))\n",
+ " B, N = D0.shape\n",
+ " assert B == batchsize\n",
+ " n = len(theta0)\n",
+ " print(f'Compressing {num_batches} batches with shape {D0.shape} values to {n} features.')\n",
+ " stats0 = Accumulator(N)\n",
+ " statsp = [Accumulator(N) for j in range(n)]\n",
+ " statsm = [Accumulator(N) for j in range(n)]\n",
+ " # Loop over batches.\n",
+ " for i in range(num_batches):\n",
+ " print(i)\n",
+ " D0 = stage1(model(theta0, gen, batchsize=batchsize))\n",
+ " stats0.accumulate(D0, batched=True)\n",
+ " # Loop over parameters to vary by +/-eps.\n",
+ " for j in range(n):\n",
+ " theta = theta0.copy()\n",
+ " theta[j] = theta0[j] * (1 + eps)\n",
+ " Dp = stage1(model(theta, gen, batchsize=batchsize))\n",
+ " statsp[j].accumulate(Dp, batched=True)\n",
+ " theta[j] = theta0[j] * (1 - eps)\n",
+ " Dm = stage1(model(theta, gen, batchsize=batchsize))\n",
+ " statsm[j].accumulate(Dm, batched=True)\n",
+ " self.mu_ = stats0.mu\n",
+ " self.C_ = stats0.C\n",
+ " self.Cinv_ = np.linalg.inv(self.C_)\n",
+ " # Estimate the gradients of mu and C using central finite differences.\n",
+ " # https://en.wikipedia.org/wiki/Finite_difference_coefficient\n",
+ " self.mu_grad = np.empty((n, N))\n",
+ " self.C_grad = np.empty((n, N, N))\n",
+ " for j in range(n):\n",
+ " self.mu_grad[j] = (statsp[j].mu - statsm[j].mu) / (2 * eps * theta0[j])\n",
+ " self.C_grad[j] = (statsp[j].C - statsm[j].C) / (2 * eps * theta0[j])\n",
+ " # Calculate the compression coefficients.\n",
+ " self.coef1_ = self.mu_grad.dot(self.Cinv_)\n",
+ " self.coef2_ = self.Cinv_.dot(self.C_grad.dot(self.Cinv_))\n",
+ " \n",
+ " def __call__(self, data):\n",
+ " delta = data.reshape(-1) - self.mu_\n",
+ " return self.coef1_.dot(delta) + 0.5 * delta.T.dot(self.coef2_.dot(delta))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Initialize the optimal compression:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 116,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Compressing summary batches with shape (1000, 200) values to 14 features.\n",
+ "0\n",
+ "1\n",
+ "2\n",
+ "3\n",
+ "4\n",
+ "5\n",
+ "6\n",
+ "7\n",
+ "8\n",
+ "9\n",
+ "CPU times: user 13min 14s, sys: 1min 28s, total: 14min 43s\n",
+ "Wall time: 5min 42s\n"
+ ]
+ }
+ ],
+ "source": [
+ "%time Stage2 = OptimalCompresser(generate_data, theta_star, Stage1, num_batches=10)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 79,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "((14, 500), (500, 14, 500))"
+ ]
+ },
+ "execution_count": 79,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "Stage2.coef1_.shape, Stage2.coef2_.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 124,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "d = Stage1(generate_data(theta_star, gen, batchsize=2))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 125,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(2, 200)"
+ ]
+ },
+ "execution_count": 125,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "d.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 128,
+ "metadata": {},
+ "outputs": [
+ {
+ "ename": "ValueError",
+ "evalue": "operands could not be broadcast together with shapes (400,) (200,) ",
+ "output_type": "error",
+ "traceback": [
+ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+ "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mStage2\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0md\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+ "\u001b[0;32m\u001b[0m in \u001b[0;36m__call__\u001b[0;34m(self, data)\u001b[0m\n\u001b[1;32m 44\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 45\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m__call__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 46\u001b[0;31m \u001b[0mdelta\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmu_\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 47\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoef1_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdelta\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m+\u001b[0m \u001b[0;36m0.5\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mdelta\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mT\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoef2_\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdelta\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+ "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (400,) (200,) "
+ ]
+ }
+ ],
+ "source": [
+ "Stage2(d)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 119,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 119,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(Stage2.mu_, 'b.')\n",
+ "plt.plot(d.reshape(-1), 'r.')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "```\n",
+ " (x1, x2, # peak positions\n",
+ " sig1, sig2, # peak Gaussian widths\n",
+ " loc1, scale1, # Rayleigh params for peak1 flux\n",
+ " loc2, scale2, # Rayleigh params for peak2 flux\n",
+ " pk1frac, # frac of spectra with peak 1\n",
+ " pk1and2, # frac of spectra with peak 1 that also have peak 2\n",
+ " pk2only, # frac of spectra w/o peak 1 that have peak 2\n",
+ " bg0, bg1, bg2, # background shape polynomial coefs\n",
+ "```"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 120,
+ "metadata": {
+ "scrolled": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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bmNGja/7Xzs1mz5FqXvu48PS2tKQo/nvFNJLiHEGJuzOmuwUMA8UZWA9c9F+hHFncCjyiadpHwDHa7yW8HsL6hOiUoqrYJ14RtPMZpsl/NhwjKyWGBz4z4fS1/0DZrBYe/NwMahtdNLZ4qDjZwrPv6Tzywi7+e8VUEmODnwxMdytNz3wN+/QbcExbHvTzi/4h6OMINE17W9O0GbquVwH3AW8COu09gkeDXZ8QF2OaJp6j2zFa6oN2zl35VZRWN3PN3OygJYFTLKpKSkIUIzLimTM+nW/fOpm6RhePPL+LuiZXUOsCUOxRqImZ+Mrzg35u0X8EpUeg6/rwM/599Rn/fg14LRh1COEPs7GKtg/+hGPB57GPXRT4+UyTNzceIy0pilljBgceYBdGDUnk27dO5rGXd/Nff9pAfLSNpDgnE3NTuGrWUKIcgf8KW9Jz8RRswTQMlCAnNtE/yLsuBjRf9XEALCnZQTnfvsKTFFU0cc2cbFS1dwZ/jR6ayA8/O53r549gyqhU4qJtvL3xKA8/s52iisBvnFrSR4OnFaO2JAjRiv5IZh8VA5pRfRwUFTUpK+BzmabJWxuPkRzv4JIJvbvW8bDBcQwb/OkjhOUNLh55dhu/eHYHn102mksnZ/p9bsvgUQD4yg9jSR4WcKyi/5EegRjQfDVFqElZQZlbaF9hDQUn6rlydjZWS3h/dSbmpPDTL85i9NAEnnknj+LKiz+eejFKXAqOBZ/HOnRiECMU/YkkAjFgmaaJUX0MNSXwb7n5xXX8ZeWB01NF9AXx0Xa+csMEop1WXv6owO/zKIqCfewi1Pi0IEYn+hNJBGJAi77+xzimBvZYpF5Uy29f3kNSnIPv3TH1vDED4RTjtHHd3OEcOHqS/YU1fp/HdDXjKdiM0doQxOhEfyGJQAxYiqKgxqehJvj/dM+R0np+98peBsU7+H6InuUP1GXThpCa6OTljwr8HolvNFTStuYJfMV7gxyd6A8kEYgBy3t8N+4DH2Ka/v1x9BkGT7+dR2yUje/d0TeTAIDNqnLTwhxKqprZsL/Mr3OoydmoiZm4dr2JafTu2ggi/CQRiAHLo3+Ce/8Hfk8rsXZXKSeqm7lj6ag+mwROmTkmjZGZ8by+rtCvRW4UVcUx51bM+go8B9cGP0DRp0kiEAOWr/qY349DNrV6WPlJIWOzk5g6KiXIkQWfoijcsWQU9U1u3lh/1K9zWIZOxpI5FveOle3zD4mIIYlADEhmWxNmUw1qNweSbT5YzrPv6ZyobgbgjU+O0uLycsfSUb22aligcrISuHRKJqu3l/g10ExRFBxzbkeJT8NskZvGkUQGlIkByVdTBHRvRLHb4+P5Dw7T1Oph7a4TTByZzIGjJ7lsahZDUvvXjJw3LcxhZ34V/3xf5wefnY7awyRmSckm+oYHURQF0zT7TRIUgZEegRiQjIZKQOlWj2DTgXKaWj189YYJLJ83nMLSeqKdVm5YMDL0gQZZbJSNWy/L5ciJBj7ZU+rXORRFwfR5af3P/8Od9zGmaQQ5StHXSI9ADEj2sYuw5c5BsTkvWs40Td7fVsywtFima6nMGJPGVXOycXt8Zy0005/MnZDO+r1lvLr2CNO1NL/aYbqaQFVxrfsHXn09ziX3o8YmhyBa0RdIj0AMWF0lAYD9R09SVtPCsllDT18GcdgsxPXSusGhoCgKKy4fTXObl9Xbi/06hxqdSNS1/4Nz4T34qo/j3vlGkKMUfYkkAjHgmO5WWt55FG/poS7Lvr+tmIRYO7PGhn5K6d40NC2WaaNT+WB7CS1t/o0LUBQFm7YAS6aGr6Kw6wNEvyWJQAw4vpoifMX7wOu+aLkTVU0cOHqSxdOGhH0SuVC4bu5wWl1ePtzhX6/gFNvIWViGTvR7YJ7o+wbep19EPKOq/Tl6NWX4Rct9sL0Yu1Vl0RT/p3Duy7LT45ick8z724r9GmR2ik1bgHPObfIE0QAmiUAMOL6qYygxg1CjEy5Ypr7Jxcb95cydmNGv7wd05bp5I2hu87JmZ2CLzpg+T1CX+xR9iyQCMeD4qo9iSR1+0TKrd5Tg85lcMWto7wQVJiMz45kwchDvbS2mpc3j93laXvsJrg3/DGJkoi+RRCAGFNPwokYnYUnXLlim1eXlo50nmKalMjgpuhejC48bF4yk1eXlT//eh8fr35gANTkbX6XcMB6oJBGIAUVRrURf9z/YJ11xwTKf7CmlxeXlytmRsSzjiIx4vnjNWPKK6njq7UMYftz0taSNwGw+idFSF4IIRbgFPKBM07R4YCNwra7rx87ZNwX4GxAPrAPu13Vd5rgVIdPVtAhen8H724vRhiaSk3nhewgDzSXj0znZ0MZrHxcyKM7BLZfl9uh4S1oOAL7KQtTh00IRogijgHoEmqbNBtYDoy9Q5Dnga7qujwYU4EuB1CdEV9o++ist7/7ugvu3HarkZIMrYnoDZ7p6TjaXTcvinS1FfLTrRI+OVZOHgWLBkMtDA1Kgl4a+BDwAnDepiaZp2UCUruubOzY9DdwSYH1CXJSvogDF0nlH1+szeGvTMTJTYpiYE3nTJSiKwp1LRzMpJ5l/vZ/PgaMnu3+s1Y7z0s9jHTkzhBGKcAkoEei6fq+u659cYHcmcOZySWXAkEDqE+JizLYmzMYq1NQRne5/b2sRZTUt3Lwop8ezcg4Uqqpw3/LxZKZE8/jK/ZR2TLvdHTZtQbdmcxX9TygnnVOBM+9KKUCPHllITg5sCuDU1LiAju+PIrHN0N7ulsJCmoDk3HFEnfNzKK9p5s0Nx7hkYgaXX9J5ouhvAnmvf3bfXL7z+3X88d/7eOxbC4mP6XosheFupfX4ARwZOVhjk/yuO1CR+BkPdZtDmQhKgIwzXqfTySWki6mpafJ7Me7U1Diqqnq+OEd/Folthk/b7So4CECjLY2mM34Opmnyh1f2oqgKNy0YMSB+RoG+1wrwtRsn8qvndvDkv/dw95VjujzGV3uClld+hXPhPdi0BX7XHYhI/Iz3pM2qqvj1BTpkj4/qun4caNM0bV7HpruAd0JVnxCWpCxs45egOGLO2r5Dr2JfYQ03LhjJoPiuZySNFCMz47lsahYf7ymlpLKpy/JqYgbYovAe2ynzDg0wQU8Emqa9rWnajI6XdwK/1TQtD4gF/hDs+oQ4xTp8Ks55d521rbKulX++rzNscCxLpmeFKbK+a/n8EUQ7rLy05nCXf9wVRcU++Sq8x3fh2fd+L0UoekNQLg3puj78jH9ffca/9wCzglGHEBdj+ryYrmaUqPjT4wiaWj389uU9GIbJfcvHY1Fl/OS5YqNsLJ83ghc+PMzeIzVMzk25aHn71Gsxqo/j2vIi6qAhWIeM76VIRSjJb4YYEIzqYzQ/9018RXuA9nWI//DaXmrq2/j6TZPISI7p4gyR67JpWQweFM1Lawrw+i7+PIeiqDgX3Ys1expKGG8Yi+CSRCAGBKO+AgA1oX2BmX+8k0dBST1fum4co4cmhjO0Ps9qUbntslzKT7awaX95l+UVexRRy76OJXFgTt8diSQRiAHBqC8HRUWJS6WytoUtByu45pJsZo5JC3do/cLk3GTSB0WzsRuJ4BSjoZK2df/AaK4NYWSiN0giEAOCUV+OEp+KYrGyLa8SgIUDdMGZUFAUhTnjB6MX11FT39a9g0wDT97HeA5vDG1wIuQkEYgBwagrR01IB2BbXiUjM+NJSYgKc1T9y5xx7ZfVthyq6FZ5NSEddXAu3vwN8jhpPyeJQAwI9inXYB93GRW1LRRVNMklIT+kJUWTkxXP5gPdvzxkGz0fo6709PKgon+SRCAGBFvuHKzDprC947LQDE0SgT/mjEunpKqZ4m4MMAOwjZwJFiuewxtCHJkIJUkEot/zNtbiqzqK6fOy7VAlOVnxJCfICGJ/zBybhqoo3e4VKI4YbNql543mFv2LJALR7zXrW2h5/WdUlldSVNnEzDGDwx1SvxUfbWfCyEFsOVTR7ZXMnPPvxjHjMyGOTISSJALR73lOngCrg63HXADM0FLDHFH/Nmf8YE42uDh0vPuPhZqmibdMD2FUIpQkEYh+z1NThpqQzna9itwhCTKxXICm5qYSH2Pn8df3sSu/qlvHeAs20frmr/B2jOwW/YskAtHveU6W0uZMpriyiVnytFDAHHYLP757OoOTovnjv/fxytoCfMbFp56wjpyFmphB24bnML3uXopUBIskAtGvmT4P3voqCpuisFlVLpmQHu6QBoSUhCh+8NnpLJqaxTubi3jmnYtf9lEsVhzz7sJsrMK9e1UvRSmCRRKB6N8UhaSbfsB/Sgczc0waMU5buCMaMGxWlbuv0Lh2bjbr95WxqYsniaxZ47DmzMG9Z9XpuZ9E/yCJQPRrimply8lBnHDFsmiqrDcQCtfPH8GoIQk8+55ORW3LRcs6LrkdNS4No6Wul6ITwSCJQPRr3ooC9PUfMiQlmpzM+HCHMyBZVJX7lo/Hqio88caBi05VrUYnEn3LL7FmaL0YoQiUJALRr9XuXM3CtjUsmjbk9II0IvgGxTv5wtVjOV7eyNPv5F00GSiKgul14aso6MUIRSAkEYh+ramihGozgTnj5CZxqE0bncoN80ewcX85f3htL60u7wXLujb+i5a3f4Ppbu3FCIW/JBGIfqviZAuOtmqsSZlEO4Oy6qrowvL5I/jclRoHj9by/z2/k9pGV6flbNql4GnDU7CplyMU/pBEIPqlipMt/P75TcSpbYwcOzrc4USUhVOy+MbNE6k42cpDT21l84Hy86ahVtNyUFOG4zmwWqao7gckEYh+p6K2hUde2EW80QBA8pDsMEcUeSblpPDju6eTlhTFX988yO9f3cvJhk8XtFEUBfv4JRi1pfjK8sIYqeiOgBKBpmkrNE07qGnaYU3THuhk/0Oaph3XNG13x3/nlRGiJ5rbPDzy/C48XoM7b11MzK3/S9SIieEOKyJlpcbyw89O5/Ylo8grquWPr+0769u/NWc2OGLwFu0NY5SiO/y+sKppWhbwS2A64AI2apr2ka7rB88oNgO4Xdd1uVAogmLboUpqG1384LPTGJqeACSgOqKBxnCHFpFUVWHZzKHYLAr/fD+fooomstPjAFCsdmJu/gVqTBIApqcNxSbzQPVFgfQIlgJrdF0/qet6M/AqcPM5ZWYAP9Q0ba+maX/SNE0+BSIgWw9VkD4omtysBDyFW3HnfRzukAQwe9xgbFaVT/aWnrX9VBLw1ZbS9Px3cB/4MBzhiS4EkggygbIzXpcBQ0690DQtFtgFfA+YBiQCDwZQn4hw9U0u9OI6Zo1NQ1EUPHnr8Bz8KNxhCSDaaWP66FQ2H6jA4/Wdt19xRGNJy8G14Z9yqagPCuSZOxU483EABTg9ykTX9Sbg6lOvNU17FHgK+FF3K0hOjg0gPEhNjQvo+P5oILd5q16FacKyuSNITY2juKUG++DhwMBu94X0tTZfuyCHzQcrKChv4tKpQ87ZG4e54oeUPPU93BueZvD436E6/VvVrK+1uzeEus2BJIISYMEZr9OB0/1CTdOGAUt1XX+qY5MCeHpSQU1NE4bh36NnqalxVFVF1nXjgd7mNduKyEqJIdqiUFlRj6euCmXoVIAB3e7O9MX3Oj3RQXK8k7fXFzJ2SEKnZWzzv0jLyp9z4q0ncS68p8d19MV2h1pP2qyqil9foAO5NLQaWKJpWqqmadHATcC7Z+xvBR7RNG2EpmkK8ADwegD1iQhW2+jicEk9M8e2rzdgttSC4UWJk9XI+gpVUZg/KYODx2qpru98RLEldQT2KdeAzYlpXnyNA9F7/E4Euq6foP0yz0fAbuB5Xde3apr2tqZpM3RdrwLuA94EdNp7BI8GIWYRgbbnVWICMzsWnjGbTgKgxksi6EvmTWyf6mPjvgtPWW2f8Rmcc+9EUWQYU18R0Lh8XdefB54/Z9vVZ/z7NeC1QOoQAmBrXgVD02LJSG6/rmxJH0XsF/4PVEuYIxNnSkmIYtzwJNbsOsFl07KIi7afV0ZRFEzTxFd6CNPThm34tDBEKs4kKVn0edX1rRw50cCssWcvQ6nYHCgWmWOor7nlslxa2jz84+28C04voSgK7h0rcW14DtN34cnrRO+QRCD6vFWSt8F0AAAgAElEQVSbjmNRFWaPG3x6m3v/B7h2vxXGqMSFDBscx82LctldUM3aXSdOb9eLavlwR8npB0DsU67FbD6JVyamCzv5OiX6tLKaZj7ZU8ZlU7NISYg6vd17ZCuoKky5NozRiQtZOmMI+4/W8OKaAmKibKzfV8b+wvb7OvsKa7hv+XicQyeiJg/DvXsV1lHzUFT5Xhou8pMXfdrr6wqxWVWunTf8rO1GYxVKXFrnB4mwUxWFe64ZR5TdwhNvHOBoaQO3XpbLiqWj2F94kv/9V/sU1vYp12LUl+M9tiPcIUc06RGIPutoWQPb9SqWzxtOQsynNx1NrxuzpQ41PiWM0YmuJMTY+frNk8gvqmPhlKzTa0YMHhTNX1bu55f/3MFPPz8DS4YGhtwnCCfpEYg+yTRNXl17hNgoG1fMGnbWPqOxGgBVxhD0eTmZCVw1J/ushYMmjkzmu7dPpa7RxarNRURf9wNsuZdgmgZGfUUYo41ckghEn5RfXMeh47VcN284UY6zO66mqwkcMZII+rGRmfHMm5TBhztKqKxtAcBzaC3Nr/wI187/yGCzXiaJQPRJWw5V4rBZWDg587x91vTRxH3uz6iDc8MQmQiWGxeMxGJRePXjQgCsI2ZgHT4N9/Z/y2SCvUwSgehzDNNkV34VE0cOwm678IAxRVF6MSoRbElxDq6cNYzteZUUlNSjRsXjXPIVLFnjcG17FaOlLtwhRgxJBKLPKTzRQH2zm2mjO7/049ryMm2bX+zlqEQoXDU7m4RYOy+tOYxhmiiKgnPeXeD14Nr8UrjDixiSCESfszO/CouqMCmn86eCvCX7MWpLO90n+heH3cJNl+ZwpLSBv7y+H5fHh5qYgWPuCmxjF4U7vIghiUD0KaZpsjO/irHDk8560uTM/UZDlUw2N4DMn5TB7UtGsTO/il+/sIuGZjf2cYuxZmiYpik3jnuBjCMQfcqJqmYq61q5cs6wzgu4msHTKk8MDTDLZg4lOd7Jk28e4GdPb2NoWix2FWa3rSNDqca28MukZmWFO8wBS3oEok/ZkV+FAkwd1fkfeqOhEgBFegQDznQtle+vmEZGcjT1zW7K6trYWZeIrbEU35s/4+9/fYnj5Q3hDnNAkh6B6FN25leRMyThrJHEZzINL2ryUNSEjF6OTPSGkZnxfPf2qadfm+YsKosWwLonuLX1HbavhEtvui2MEQ5M0iMQfUZVXSvFlU1Mu0BvANrHEMTc9HMsSeePLxADj6IoDM4ezuA7HqY8Kofx1e/TXFsT7rAGHEkEok8wTZP/bDgKwDRNLvuIsylWO/bLvsKfGpax5einy2C6PD5+/cIuXvzwMB6vL4wR9m+SCESf8PGeUjbsK+e6ucNJS4y6YLmWd39L28Z/9WJkoq/IHpKCNSOXdXtK8RRsxqiv4K2Nxzh0vJb3txXz8NPbKaqIrIXtg0USgQi7wtIGnv8gnwkjBnH9/BEXLeurKACfp5ciE33NstnZVFScpGX9P2l47098sOUo8yak8+1bJ9PU6uF/n93C5j1F4Q6z34nYm8Ven4FFVWSagjBraHHz59f3kRjr4MvLx6OqF34/zLYmcDWjJgy+YBkxsF06dQh/f2M/W+OvYE71v7kuZg8LFl9KfLSdh29Io/Wdx4ja0kbd3kHYU7KwT7wC65AJp49vaHbz1sZjmCbctiQXq0W+C8MATQTeoj00nHBB1qxO97e6vPzi2e1kJMfwwI0TepwMahtdFJY2MDk3WT5IAXp5TQGNLW5+dNcMYqNsFy1rNLRPUazGp/dGaKIPio2yMWNMGi/uN/BFj+ZS5z6iagswbTkoa/+EMzaWNXXjGNzawPiWetSE9s+Ky+1l9Y4SVm06jttjYJgmlXWtfPXGCTguMp9VpAgoEWiatgL4MWADfqfr+p/P2T8F+BsQD6wD7td1PeQrULTu/4i2ijyibx2FGpN03v4XVh+mrKaFspoWVm8v4fKZQ7t97l2Hq3hq1SGa27ykJjq5du5wLhmfLgnBDyWVTWzaX84Vs4aRnR7XZflTc9Ur0iOIaJdOzmTj/nL2Ji1mvqORto/+Ssytv8J52X2oSZlo1fDrF3cxJ2MwdzkSWbv5OEm7n6LNFc/0rNlcvXQG+cV1PPuezqMv7eZbN08i2nnxLyEDnd9/vTRNywJ+CcwHpgBf1jRt3DnFngO+puv6aEABvuRvfd1lGCa/zs/F6/HQtuXl8/bv0CtZv6+May7JZkpuCq+sLejWDSaP1+D5D/L542v7SE5wcs81Y4l22vjH23k8+PetlNU0dys+l8fH86vzu11+IHvt4yM4HVauviS7W+UVZyyWYZNleokIN2pIArcvGcUXrptM1OL7ccy+FcUehXXIeNSYJMZkJ7F83gg2Hajg23/awOtrdex2O5dH7efW+r+TsPX/mDe4ia9cP4GjpQ089NQ2Vm06Rn2TC2if/ba6rpWSyiZM0+zVtrnzPqb59Ycxe3nFtkB6BEuBNbqunwTQNO1V4Gbg4Y7X2UCUruubO8o/DfwM+EsAdXZJVRXmz53Emk15XF6wCffYxdgzRuGrPkbz+n9xoCSN7PQpXD9/BK0uLz95aitPvHGAhz4/E4f97C6i0ViN6XWjJGbwl5X72V1QzeUzhnLTpdlYmiqYMzKXvSUunnnvML96biffumUyIzPjAaisa2V/YQ3zJ2acNZXyO5uPs3p7CcUVTXx/xdROL0uZhhf3nnexpA4/6/rmudbtKaWu0cXyLm6w9kX5xXXsOVLDTQtHdnlJ6BTr0ElYh04KcWSir1MUhWWne/HZWFLO/yJx3dzhlJ9sweM1uGrOMHIyl2E0VuPRP8GT9zGtb/+aqct/zHdvn8LrnxzltY8LeX3dUTJToqmsa8XtaZ/fKC0xijnjBzNjTBqpiVEXvIzkqz2Br2Q/1txLUKPiz9rX0OIm2mE976pBbaOLusY2ok7qqOkaHtOCr7IBm0elubyStMzeGysTSCLIBMrOeF0GzOpi/5AA6uu2ZbOGsSnqNuo2HMH7zt9pmP8tMjc8htPTwBW24/iW3YDVohIXbefL147jNy/u5pn38rj32nGoioLpdePevQr3nlWg2vh4+APsLqjmjqWjuHzGUNwH19Cy/lkAclH42eBMfle7mEde2MntS0aRd7yWbXmVmCaUnyhjxXUzAaiua+b9LUdJinNSUlLOvgNHmDTh/MVV2j56Eu+RLWCxE738B1hS2//Qm4avfWpe06B8xDU8+66OYZpMzk3p1qWVvsI0TV5ZW0BirJ2lM7p/Wc40vCjqgLytJYJMVRXuWz7+7G1xKThm3Ih9wuW4dqxETcxAS3XwP3cmUV7TxPF1b2KvO07+xOWkpyWgKApbDlbw5oZjfLTxEHMchykmg4bY4czOMpjt20HCsFH4ju3AV56PEpeCbdwSoP0Kwq7DVazddYK8ojqS4x0smzWMSydlUl3fyrubCqg6fIDLnfsYbSvn1eZZfOIaA8QAc5kfU88X+0kiUIEz+00KYPRgf5eSk2P9Dm754nF8VHczG7cXsOXfBxhimc/geAt3KW+SWLeFQZPvACA1NY6yujaeezeP1EEx3HuNxom//whPzQmiR82k+fB2vHvfZunMz3DHlWPbv8EvvJ6m1BSM1ia8jSep27SS/xl/nEeOTuLZd3WinVY+sygXa3MVMw4/zolVOxh//V3o/3mMW6IULv36T9j2f78gY+NKbAlfJDZ3WvsPyGrDEh1P69xrac4eQ/OOt3F98EeyvvC/qNFxVL7+Wzz5WwFoPJhPatximj1W3tlazIP3zD7dnr5u075Sjpxo4IGbJzMkM7Fbx5imyfHHPk/8tGUMuuzO8/b3h3YHWyS2GYLR7jgY+hUADHcr3voqPNueJKbqIPb0kSy7s/13qX7rW8xN24PLUoavvgLFNChMTeQTYijI28WMqH24S7fTbEvCO/Z6hlyyjIKqVrbvOUZm4Rt80DQGT8IQbl06mv1Hqnlh9WH+s76Qe2yr+Iy1GmucgWGPpW7UzUzPmM0cu53EOAeJsQ4yU2PP6kGE+r0OJBGUAAvOeJ0OlJ6zP+Mi+7tUU9OEYfh3jS41NY4JC5YQlTODRT6TIamxRDuttK4up27rKryjLkexOQC4bHIGTaXHWPlJIfgMrhl1KY5ZWeQbWWzbZ6EhPof7Fo6guroJo60R1RkHqZ9eorC7QYmK47uzprC7oJpJtiKsLfuwTlrExuOTmFiyheLHN5NmqjQPXYbq8xE76zOUrP8Hznee4GTHeaw5c4hacj9H6xL47Sor09KWcVPbq5S+8xS2MQtpPbwDx9w72VVYj1a2ii9MU9GNoby+rpCte08wa1IWVVV9e0BNbaOLP768m6zUGKaMTOp2vEZrA0ZbE62m47xjUlPj+ny7gy0S2wzBbbfp89Cy8mGMmmKwReFceA/W0fOpqmrE9Lho3rgSxRmHmpSFdcQMbKPmMTkxnclAS9sY9hQsIT/vCFuLDVo3+GDDFgAmRlexLOo4UxMKUNNGYouez+KxHo7Pm83aXSdwtA7FmjWNqCwNS+YYEuxRnNsvrj356T3EnrRZVRW/vkAr/t4M6bhZvJ72y0HNwEbgy7qubz2jzH7gPl3XN2ia9lfgsK7rv+7G6YcDRwNNBJ398IyGSkyfB0tS+5S2RnMtrk0v4C3cykcpd7Ay30ZOZjwl1c243D4SYuw8+LkZDIp34qs6Rst/fkHU5V/HOmxyp/WarmaaX/4hSkwi0Tf8hIYWL395+l1mmHvZb53IV++9DrvNgmma/Pr5ncSdPMhdCzOx262o8Wkc8abz+1f3YrWoNLV6uG0CLLt8NoojBqOhkuKWKH7+zHYWa05W3HAJrS4v3//LRnKyEvjlV+f36T8OXp/Br1/YRVFFEw9+bgaZKTHdPtZXfpiW//ySqCu/hXXYlLP2ReIfxUhsMwS/3e4DH+Ir03HMuQ01Ntmvc/gMg8LSBo6caCA7PY5RQxKweFvxHN6I5+BHGHWlYIsidsVvUBzd/8yf4mciGAEc624dfvcIdF0/oWnaj4CPADvwN13Xt2qa9jbwE13XtwN3Ak9qmhYP7AT+4G99waLGpwHt19s9+z/AtWMlGD7s067nmomXUhdTxJET9cydkI42NJFxwwcR7Wug9YO/YTRUoVidWNJHn3de0zTxHPoIz8GPMNsaiLry2yiqhYRYC9dfdyl/WTmIL14+9vSNY0VRuG3JaB5+up69qy1MGD6IYelRvLVxDykJTr57+1Te3nycl3aUEJvdwJzxUXxc4Ob1dXnExdi4/soZmKaJtWQHK8a28uQuL3nHT5Ic3Xcfg3t9XSGHS+r58nXjepQEQMYQiNCwj18C45cEdA6LqjJqSCKjhpxxmdMSg33C5djGL8U4WYwam+xXEugtAd1503X9eeD5c7Zdfca/93D2DeQ+wTRNWlc9gq9MxzJ0Es55nz2dIO6+QjuvvNFixVu8F7xuHJesQLF3PheO9/gujJPF2CZegSV1+OntY7OT+N035qOe84RQdnoc/33nNDYfKGd3QTU78qvIHhzHt2+bTHy0ndsW51Ja3cwz7+bx7pYiTlQ3M2ZYIp9dphHjtGGaBu7dbzPB1UxC1LX87Y39fOmasQyKdwbvhxUkewqqeWdLEYumZjFnfM//mBv1FaCoKPGdL18pRF+kKAqW5AssstSHWH7605+GO4bOJALfam114+9jvDExDlpa3J3uUxQFrA6soy7BMeNGVOfFr6kpNieK1QE+N465d6Ko5z9CpigKlowxKFY7jmnLUSzW8/Z3JjnByeTcFJbNHMqc8elcMWsY0Y72Y1VVYXJuCtvyKvF4fXzhqrHcvCiH+I65+hVFQY1PxXtgNdroIazKt7BmZwlur8Hw9Dhs1r4zyO2593UUFL5x80Qsqh9x+TyocSmdPk57sfd6oIrENkNktrsnbVYUhehoO8Dvgbru1uH3PYIQG06I7hH0Rx6vD1VVOv0Deqp3Y5wsIerOR3nyrXyK83UyY02+8IXr+8SISa/P4Gu/W8eCSZncefn5l9UCNZDe6+6KxDZDZLa7N+4R9J2vjOKCbFbLBb9FK4qCY9YtmG2NOI9v4P7rJ/D1cRXcbXmLd9/bdFbZxhY3mw+UY/Ry8j9W3ojbY6AN7d6joudqX7C+EtOQ+eaFCAVJBAOAJW0k1pzZ2FPaH0JLnXsDAIOLP+DgsfaHU5taPfz6hd389c2DrNlR0qvx6UW1AIwe5mciaK2n+cXv4zm4JphhCSE6SCIYIJyL7sWROQoAS1Imlqk3MMlezOp3P6a+ycVvX95D+clmhqXF8trHhVTXtXZxxuDRi+vITIkhPrrzdYi7cmqyOZl+WojQkEQwQCgWG5aoT296R025Ep89lvm+zfzoyc0cL2/kK9dP4Os3TQIFnnk3r1cm1PIZBodL6hnt52UhAKOufaYSNVHWKRYiFCQRDFCKzUn07JshORuXy8O9141l6uhUkhOc3LIohwPHalm/r6zrEwWoqKIJl9vn9/0BAKP2BFgdKLGDghiZEOIUmcFrALOPXcQUbSG/amwjJeHTsQ+Lpmax9WAFL31YwOSclNOPo4aCXtT+BJvm5/0BAKO2FDUpE0WR7y1ChIL8Zg1wigKJjUfwlR8+vU1VFD531Rha3V7e3RLa9V31oloGJ0WRGOvw+xz2SVdgn3pdEKMSQpxJEsFAZxq0ffI0bVteOuueQEZyDLPHDWbNrhIamj8drGKaJnnHa/H6ejRRbKcMwyS/pD6g3gC0r0NgGz4t4HiEEJ2TRDDAKaoF+6SrMCoK8JXpZ+27bu5wPB6D97Z+2it4b2sxj7ywi/V7A79/UFzZRKvLizb0/OVCu8torsVbmofpjazRpEL0JkkEEcCmLUCJise9+62ztmckxzBr3GDW7DxBY4ub/YU1vLK2AIC9R2oCrlcvDvz+gLdoD61v/S9ma33A8QghOic3iyOAYrVjm3gl7q0v46s6enrFM2jvFWw9WMELqw+z90gNWSkxDBscxw69Co/X8Gu+ohPVzWzcV8Yne8tITXQGNAle+xNDdhQ/pwgWQnRNEkGEsI+7DO/h9ZgtZ89DlZkSw8yxaWw+WEGM08rXb5rEiapmNu4v53BJHeOG9+yRzaffOcS6PWWoisKknGSumzc8oLiN2lLURHliSIhQkkQQIRR7FNE3/7LTWVCvnz+C8pMt3LZ4FKmJUcRF27BaFPYXnuxRIjhe3si6PWUsmJTBZxbmkBCEx1KN2hNYssZ3XVAI4Tf5mhVBFEXBNLz4ThaftT0jOYaffmEWY7Pbb+o67VZGDUlkX2HP7hOs2nSMKIeF2xbnBiUJmK5mzJY61CQZUSxEKEkiiDBt656m9a1HMH2ei5abODKZE9XNnGxo69Z5S6ub2aFXsXjakOBNfW1zEH3Dg9hy5wTnfEKITkkiiDC2nNmYbY14j+64aLmJI9svCZ3qFRiGyftbiyipauq0/KpNx7HZVC6fee4y3P5TVCuWtBy/15IVQnSPJIIIYxkyHiUuFc+htRctl5kSQ1Kcg32FJzEMk7+tOsiLawr47ct7zhqABlBZ28KWgxUsmpLl9wyjnfEW7cZTuC1o5xNCdE4SQYRRFBXbmIX4yvJOz+rZeTmFiSOTOXjsJH9fdZDNBypYNCWTplYPT7yxH5/RPvLY6zN4/ZOjqKrCFbOCuzare//q88Y+CCGCTxJBBLJp80GxdPlte+LIQbS5fWw6UMGNl47k7ivHcPcVGnlFdby2tpDDJXU8/PQ2thysYNnMoSTF+T+fUGeM2hOoSVlBPacQ4nzy+GgEUqMTib7pYdSkTIyGSoymGtT4tPOuxY8bPois1BjmjBvMNZcMB2DexAwKyxp4d2sR724tYlC8gwdunMi00SlBjdF0t2A218oTQ0L0Ar8TgaZpw4DngDRAB+7Udb3pnDLZwH7gSMemCl3Xr/C3ThE8lkHt37TdR7bi3vYqoOBcdC+20fNOl4lyWPn5PbPPO/aOJaNodXkZFOfk2rnZOO3B/z7hKdjcHqf0CIQIuUB+gx8HHtd1/UVN0x4EHgT++5wyM4DndV2/L4B6RAjZtPlY0kbi3vkGbeufQU0dgaWLb+FWi8qXrwv+IC/fyWKU6ERUZxyggD0a9YzpMIQQoeHXPQJN02zApcCrHZueBm7ppOhMYIKmabs1TVujadpEv6IUIaNGJ2LNGodz8f0oVgdtHz4elpk+TdOk7eOnaF31GwBso+cRe/cfUaMDm8JaCNE1f3sEKUCDruvejtdlwJBOyrXRfvno/4ArgZWapo3Vdb1bf2mSk2O7LnQRqalxAR3fH/nd5tQ4Wm74Ji0FO0lOjUexBmlQWDe1ncinqeooyVd8iQQ/2iDvdeSIxHaHus1dJgJN024BfnvO5sPAuSufn7eSia7rPz3j5duapv0KGAvs6U5wNTVNGIZ/C6ynpsZRVdXo17H9VcBtjs+FablU17bRnsN7T+snb4AtClfm9B63Qd7ryBGJ7e5Jm1VV8esLdJeJQNf1V4BXztzWcWmoRtM0i67rPiADKD33WE3Tvk77PYJTk9YowMXnNhBh58lfDyhn3TgOJaOlDm/hNmzjl6DY/J+yWgjhH7/uEei67gE+AW7r2HQ38E4nRRcC9wBomrYQsAB5/tQpeo8nfwPufe/1Wn2+kgOAgX38kl6rUwjxqUCeGvoq8IymaT8GioA7ADRNux/I1HX9J8A3gac1TbsbaAXu0HU98MVwRUhZMsfg3r4Ss60JxRnYfZrusI2ehyVrHGqM/0taCiH853ci0HX9OLCok+1PnPHvE8Dl/tYhwsOSMQYw8Zbnh3zReNM0UBRVkoAQYSRTTIjzWNJGgsWGrzT0V/Fa3/sDbeueDnk9QogLk0QgzqNYbFjSR523rGWwGW2N+Ir3ojhjQlqPEOLiZK4h0amoq/4LRQ3tx8NbuB1MA2vO+dNYCCF6j/QIRKdCnQQAvEe2oCZmoA4K3mI2Qoiek0QgOmWaJq0f/AnXttdCcn6juRZfmY41ZzaKooSkDiFE90giEJ1SFAXT1Yy3qFuDwHvOYsU+8zPYci8JzfmFEN0miUBckCVzDEZNMWZb5+sU94RH/4TWD5/AaKgCQHXG4Zh6HWrC4IDPLYQIjNwsFhd0ejxBWR62ETMCOpdp+PAe2Yz32E7sk65ATR6KddgUFGvw1jgWQvhHegTigixpOSgxg3DveAPT8HZ9wEXYxy4iZsWjWIeMx73rTdpWP47ZWh+kSIUQgZAegbggxWLFOf8ujPoK2ucL7DnTNPEWbsU6bDJqbDLOZd/Ae3wXZksdalxqcAMWQvhFEoG4KGv21ICON6oKafvwLzjm3YV9/BIURQn5tBVCiJ6RS0OiWzyFW2lb99R5203TxH1gNa7dqzDqy8/b796/GmxObKPm9kaYQgg/SI9AdIvZWI0nbx1qWg72MQtPb3fvfgt3x1gD99ZXUJOGEHXVf6HGDupYZ2ArtnGLUexR4QpdCNEFSQSiW2wTl+Et3odr3T8waopxzLkdDB+e/A1Ycy/BMfMmvMd34SvNQ4lpX2e4bfXjYPiwj5N1BoToyyQRiG5RVCtRV38H15ZX8Ox7D1/1MaKv/W+ir/8Rij0KRbVin3A5TPh01nElOhHbuMWoielhjFwI0RVJBKLbFNWK85I7sKTlYNSeQLHYUCwXXuQ+aulXezE6IYS/JBGIHrPlzAp3CEKIIJKnhoQQIsJJIhBCiAgniUAIISKcJAIhhIhwAd8s1jTt54BP1/WfdrLPDvwdmAG0Ait0XQ/9iuhCCCG6ze8egaZpCZqm/R34zkWKfQNo1nV9LPAt4Gl/6xNCCBEagVwauh44DDx6kTLXAP8C0HV9HZCqadqwAOoUQggRZH5fGtJ1/VkATdN+epFimUDZGa/LgCFAURentwCoamBr2QZ6fH8UiW2GyGx3JLYZIrPd3W3zGeUsPTl/l4lA07RbgN+eszlP1/Wl3YkLMM94rQBGN47LAEhKiulG0QtLTo4N6Pj+KBLbDJHZ7khsM0Rmu/1ocwZwpLuFu0wEuq6/ArzS0yg6lJwTUDpQ2o3jtgELaO9B+PysWwghIo2F9r+523pyUKinmHgbuBtYr2nafKBN1/WuLgsBuID1IY1MCCEGpm73BE4J+jgCTdPu1zTt4Y6XfwQcmqYdAP4A3BXs+oQQQgRGMU2z61JCCCEGLBlZLIQQEU4SgRBCRDhJBEIIEeEkEQghRISTRCCEEBFuwC1VqWnaCuDHgA34na7rfw5zSCGhadpDwK0dL1fpuv59TdOWAo8BUcBLuq7/OGwBhpimab8BUnRd/7ymaVOAvwHxwDrgfl3XvWENMIg0TbsOeAiIAd7Xdf2bkfBea5r2WeAHHS/f0XX9uwP1vdY0LR7YCFyr6/qxC72/oWr/gOoRaJqWBfwSmA9MAb6sadq48EYVfB0fkmXAVNrbOV3TtDuAp2ifDHAsMFPTtKvCF2XoaJq2BPjcGZueA76m6/po2qcx+VJYAgsBTdNGAk8ANwCTgGkd7+uAfq81TYumfezRQmAysKDjcz/g3mtN02bTPoB2dMfrKC78/oak/QMqEQBLgTW6rp/Udb0ZeBW4OcwxhUIZ8B1d1926rnuAQ7R/iA7run604xvCc8At4QwyFDRNG0R7sv9/Ha+zgShd1zd3FHmagdXuG2n/RljS8V7fBrQw8N9rC+1/n2Jo793bAA8D873+EvAAn06/M4tO3t9QftYH2qWhzmY7nRWmWEJG1/UDp/6tadoo2i8R/ZHOZ3odaP4P+BEwtOP1hWa4HShyAbemaf8BhgFvAQcY2G1G1/VGTdMeBPJoT3wf8/+3d/esUQVRGMf/ooUQCxEsLCQgwlMoYidiYaESLKwsBNP4kg9gEVtrsVCwsbXSFAZFBEUTrCMEVovg0whBBdEvEATBYu6FFC5okuslc58fbDPbzOHM3ZaWx5AAAAGpSURBVLMzs5yFn1QYt+0ZAEnt0Lg13dlar21HsNFup9uSpCPAG+Am8InKY5c0A3y2vbhuuPac76LsdK8DJ4ETwCHqjhlJx4BrwCTlA/AX5Ti06rgb49Z0Z2u9th3BF0rX0tbfdjvddiSdAuaBG7bnJJ2mad/dqDH2S8ABSSNgH7CH8mDUHPc3YMH2DwBJTynHAeu78tYWM8AUsGj7O4Ckh8Asdee61XZtbrVxjhvftNp2BAvAGUn7m8umi8Crnue05SQdBJ5R/gN6rhleKm/psKSdwGXgZV9z7ILtc7aP2j4O3AKe274KrDWFEUpjw5rifgFMSdrb5PU85e6r6lwD74GzkiYk7QAuUI6Has5164/Psu1VOoq/qkJg+yvl/PgtMAIe2X7X76w6MQvsBu5KGjXfkK80r3lghXK2+qSvCf5n08A9SR8pu4T7Pc9ny9heAu5QflWyAqwCD6g817ZfA4+BZeAD5bL4NhXnumV7jfH57ST+dB+NiBi4qnYEERHx71IIIiIGLoUgImLgUggiIgYuhSAiYuBSCCIiBi6FICJi4FIIIiIG7jcCDJuulFmwfgAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
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+ ""
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+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_grads(S=Stage2):\n",
+ " n, D = S.mu_grad.shape\n",
+ " for i in range(n):\n",
+ " plt.plot(S.mu_grad[i,:D//2], '-')\n",
+ " plt.plot(S.mu_grad[i,D//2:], '--')\n",
+ " plt.show()\n",
+ " \n",
+ "plot_grads()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Likelihood-Free Inference"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To perform inference, we:\n",
+ " - Simulate many realizations of the data using random parameters sampled from the prior.\n",
+ " - Fit a Gaussian mixture model (GMM) of $P(\\theta, d)$ to the result samples of the joint $(\\theta, d)$ probability.\n",
+ " - Calculate the compressed feature values for the observed data.\n",
+ " - Condition the GMM on the compressed feature values, to obtain a GMM of $P(\\theta\\mid d)$."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The relevant equations to condition each Gaussian in the mixture model are:\n",
+ "$$\n",
+ "\\mu_{\\theta\\mid d} = \\mu_\\theta + C_{\\theta d} C_{dd}^{-1} \\left( d - \\mu_d\\right) \\quad, \\quad\n",
+ "C_{\\theta\\mid d} = C_{\\theta\\theta} - C_{\\theta d}C_{dd}^{-1} C_{\\theta d}^T \\; .\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 203,
+ "metadata": {
+ "collapsed": true,
+ "scrolled": false
+ },
+ "outputs": [],
+ "source": [
+ "class ABC(object):\n",
+ " def __init__(self, prior, model, stage1, stage2, nsamples=100000, seed=123, n_components=15):\n",
+ " self.stage1 = stage1\n",
+ " self.stage2 = stage2\n",
+ " gen = np.random.RandomState(seed)\n",
+ " # Generate parameter values sampled from the prior.\n",
+ " thetas = prior(nsamples, gen)\n",
+ " _, self.nparams = thetas.shape\n",
+ " # Generate data for each parameter sample.\n",
+ " X = np.empty((nsamples, self.nparams))\n",
+ " for i, theta in enumerate(thetas):\n",
+ " X[i] = stage2(stage1(model(theta, gen, batchsize=1)))\n",
+ "\n",
+ " pnames = [f'p{k}' for k in range(self.nparams)]\n",
+ " thetas = pd.DataFrame(thetas, columns=pnames)\n",
+ " cnames = [f't{k}' for k in range(self.nparams)]\n",
+ " compressed = pd.DataFrame(X, columns=cnames)\n",
+ " self.df = pd.concat([thetas, compressed], axis=1)\n",
+ " #sns.pairplot(self.df, x_vars=pnames[:5], y_vars=cnames[:5])\n",
+ "\n",
+ " # Fit a GMM to the density.\n",
+ " self.fit_ = mixture.GaussianMixture(n_components=n_components).fit(self.df)\n",
+ " self.wgt = self.fit_.weights_\n",
+ "\n",
+ " def fit(self, data):\n",
+ " K, n = len(self.wgt), self.nparams\n",
+ " # Calculate compressed variables for this data.\n",
+ " d = self.stage2(self.stage1(data))\n",
+ " # Condition the GMM components on the observed compressed variables.\n",
+ " self.mu = np.empty((K, n))\n",
+ " self.C = np.empty((K, n, n))\n",
+ " for i in range(K):\n",
+ " mu_full = self.fit_.means_[i]\n",
+ " mu_th, mu_d = mu_full[:n], mu_full[ n:]\n",
+ " C_full = self.fit_.covariances_[i]\n",
+ " C_th_th, C_th_d, C_d_d = C_full[:n, :n], C_full[:n, n:], C_full[n:, n:]\n",
+ " C_d_d_inv = np.linalg.inv(C_d_d)\n",
+ " CC = C_th_d.dot(C_d_d_inv)\n",
+ " self.mu[i] = mu_th + CC.dot(d - mu_d)\n",
+ " self.C[i] = C_th_th + CC.dot(C_th_d.T)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 204,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "CPU times: user 6min 30s, sys: 9.93 s, total: 6min 40s\n",
+ "Wall time: 2min 14s\n"
+ ]
+ }
+ ],
+ "source": [
+ "%time abc = ABC(generate_params, generate_data, Stage1, Stage2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 205,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "X = generate_data(theta_star, gen)\n",
+ "abc.fit(X)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 244,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot(self, ngrid=50):\n",
+ " K, n = len(self.wgt), self.nparams\n",
+ " #n = 5\n",
+ " fig, axes = plt.subplots(n, n, figsize=(15, 15), sharex='col')\n",
+ " plt.subplots_adjust(wspace=0.05, hspace=0.05)\n",
+ " for i in range(n):\n",
+ " ax = axes[i, i]\n",
+ " x1 = np.linspace(theta_min[i], theta_max[i], ngrid)\n",
+ " y = np.zeros(ngrid)\n",
+ " for k in range(K):\n",
+ " y += self.wgt[k] * scipy.stats.norm.pdf(x1, self.mu[k, i], np.sqrt(self.C[k, i, i]))\n",
+ " ax.plot(x1, y)\n",
+ " ax.set_xlim(x1[0], x1[-1])\n",
+ " ax.axvline(theta_star[i], c='r', ls='--')\n",
+ " for j in range(n):\n",
+ " ax = axes[i, j]\n",
+ " if j > 0:\n",
+ " ax.set_yticks([])\n",
+ " if j >= i:\n",
+ " if j > i: ax.axis('off')\n",
+ " continue\n",
+ " x2 = np.linspace(theta_min[j], theta_max[j], 50)\n",
+ " y = np.zeros((ngrid, ngrid))\n",
+ " x12 = np.empty((ngrid, ngrid, 2))\n",
+ " x12[:, :, 0] = x1.reshape(-1, 1)\n",
+ " x12[:, :, 1] = x2\n",
+ " for k in range(K):\n",
+ " y += self.wgt[k] * scipy.stats.multivariate_normal.pdf(\n",
+ " x12, self.mu[k, [i,j]], self.C[k, [[i], [j]], [[i, j]]])\n",
+ " ax.imshow(y, interpolation='none', origin='lower',\n",
+ " extent=(x2[0], x2[-1], x1[0], x1[-1]), aspect='auto')\n",
+ " ax.grid(False)\n",
+ " ax.axvline(theta_star[j], c='r', ls='--')\n",
+ " ax.axhline(theta_star[i], c='r', ls='--')\n",
+ " \n",
+ "plot(abc)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/notebooks/Optimization.ipynb b/notebooks/Optimization.ipynb
index c7e8ee4..4e1a659 100644
--- a/notebooks/Optimization.ipynb
+++ b/notebooks/Optimization.ipynb
@@ -84,7 +84,7 @@
"$$\n",
"This statement of the problem is more general that it first appears, since:\n",
" - Minimizing $-f$ is equivalent to maximizing $f$.\n",
- " - A vector-valued function can also be optimized by defining a suitable norm, $f = |\\vec{f}|$.\n",
+ " - A vector-valued function can also be optimized by defining a suitable norm, e.g. $f = |\\vec{f}|$, or rank-reducing operation, e.g. `f = np.mean(fvec)`.\n",
" - Constraints on the allowed values of $\\mathbf{x}$ can be encoded in $f$ by having it return $\\infty$ in illegal regions.\n",
" \n",
"This is conceptually a straightforward problem, but efficient numerical methods are challenging, especially in high dimensions.\n",
@@ -116,9 +116,9 @@
},
{
"data": {
- "image/png": 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\n",
+ "image/png": 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\n",
"text/plain": [
- ""
+ ""
]
},
"metadata": {},
@@ -152,11 +152,22 @@
},
{
"cell_type": "code",
- "execution_count": null,
+ "execution_count": 8,
"metadata": {
"solution2": "hidden"
},
- "outputs": [],
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
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