Skip to content

Instantly share code, notes, and snippets.

@alinaselega
Created June 25, 2019 10:14
Show Gist options
  • Save alinaselega/944ddf85a0da0e0065b037ff9a4dc5a2 to your computer and use it in GitHub Desktop.
Save alinaselega/944ddf85a0da0e0065b037ff9a4dc5a2 to your computer and use it in GitHub Desktop.
Display the source blob
Display the rendered blob
Raw
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "tf-prob-tutorial.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [
"ruRTjLQC_vcJ",
"Mv8Yscw4_7P5",
"-szRToWkAElC",
"A2ZPEm4q19S1",
"vkEyF8XUIRQJ"
]
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "19CsKOzCQpIX",
"colab_type": "text"
},
"source": [
"This notebook consists of some useful code for using Tensorflow Probability, taken in excerpts from the \"A Tour of Tensorflow Probability\" notebook from [here](https://github.com/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/A_Tour_of_TensorFlow_Probability.ipynb)."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2lO9RGncQE5N",
"colab_type": "text"
},
"source": [
"# TensorFlow Probability\n",
"\n",
"*TensorFlow Probability is a library for probabilistic reasoning and statistical analysis in TensorFlow.*\n",
"\n",
"### Low-level building blocks\n",
" * Distributions\n",
" * Bijectors\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ruRTjLQC_vcJ",
"colab_type": "text"
},
"source": [
"## Distributions"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kw6iQ-YnP2eW",
"colab_type": "code",
"colab": {}
},
"source": [
"from __future__ import absolute_import\n",
"from __future__ import division\n",
"from __future__ import print_function\n",
"\n",
"from pprint import pprint\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import seaborn as sns\n",
"\n",
"import tensorflow as tf\n",
"from tensorflow.python import tf2\n",
"if not tf2.enabled():\n",
" import tensorflow.compat.v2 as tf\n",
" tf.enable_v2_behavior()\n",
" assert tf2.enabled()\n",
"\n",
"import tensorflow_probability as tfp\n",
"\n",
"sns.reset_defaults()\n",
"sns.set_context(context='talk',font_scale=0.7)\n",
"plt.rcParams['image.cmap'] = 'viridis'\n",
"\n",
"%matplotlib inline"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "9HqLhJZ8QUbZ",
"colab_type": "code",
"colab": {}
},
"source": [
"# Tensorflow Probability objects: Distributions and Bijectors\n",
"tfd = tfp.distributions\n",
"tfb = tfp.bijectors"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "Mv8Yscw4_7P5",
"colab_type": "text"
},
"source": [
"### Univariate distributions"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4NuWJaQkQiEo",
"colab_type": "text"
},
"source": [
"Below we create an object for standard normal distribution. Distribution objects have two core methods, `sample()` and `logprob()`."
]
},
{
"cell_type": "code",
"metadata": {
"id": "6kxfNuJfQflR",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "e5e6d446-5ff0-4d44-aebe-556acd9dc6ac"
},
"source": [
"# A standard normal\n",
"normal = tfd.Normal(loc=0., scale=1.)\n",
"print(normal)"
],
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": [
"tfp.distributions.Normal(\"Normal\", batch_shape=[], event_shape=[], dtype=float32)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "8JFb6WdQRjqm",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 290
},
"outputId": "be6f2e73-fd3d-47aa-ddef-b1787fffbf15"
},
"source": [
"# Plot 1000 samples from a standard normal\n",
"samples = normal.sample(1000)\n",
"sns.distplot(samples)\n",
"plt.title(\"Samples from a standard Normal\")\n",
"plt.show()"
],
"execution_count": 4,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAERCAYAAAB7FtAjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEv6upgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "hN4CzvvgR13s",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "f18a02ea-3103-4afa-c124-0575f226f9b3"
},
"source": [
"# Compute the log_prob of a point\n",
"normal.log_prob(0.)"
],
"execution_count": 11,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<tf.Tensor: id=99, shape=(), dtype=float32, numpy=-0.9189385>"
]
},
"metadata": {
"tags": []
},
"execution_count": 11
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "eeNo4gXnSBNk",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "bb088759-4ba8-4a46-c0ac-ced267234fe8"
},
"source": [
"# Compute the log_prob of three points\n",
"normal.log_prob([-1., 0., 1.])"
],
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<tf.Tensor: id=78, shape=(3,), dtype=float32, numpy=array([-1.4189385, -0.9189385, -1.4189385], dtype=float32)>"
]
},
"metadata": {
"tags": []
},
"execution_count": 8
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "6rHhhC8uTW3s",
"colab_type": "text"
},
"source": [
"TensorFlow Probability `Distributions` have two different *shapes*:\n",
"\n",
" * **Batch shape** denotes a *collection* of `Distribution`s with distinct parameters\n",
" * **Event shape** denotes the shape of *samples* from the `Distribution`."
]
},
{
"cell_type": "code",
"metadata": {
"id": "oC_oe0hLT5aZ",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "0732e877-9f06-4621-9a56-7db3a79903c1"
},
"source": [
"# Create a batch of 3 normals\n",
"normals = tfd.Normal([-2.5, 0., 2.5], 1.) \n",
"print(\"Batch shape:\", normals.batch_shape) # 3 distributions in a batch\n",
"print(\"Event shape:\", normals.event_shape) # Samples are scalar"
],
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": [
"Batch shape: (3,)\n",
"Event shape: ()\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "hf0o9iX-UCUB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "bdde047d-4c8c-4d92-c5e9-9c97bdefb44e"
},
"source": [
"# Draw 1000 samples from each normal in the batch\n",
"samples = normals.sample(1000)\n",
"print(\"Shape of samples:\", samples.shape)"
],
"execution_count": 13,
"outputs": [
{
"output_type": "stream",
"text": [
"Shape of samples: (1000, 3)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "jRWaikPiUWax",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 221
},
"outputId": "67db0169-6745-447b-d1a3-1beeae45d1fe"
},
"source": [
"# Draw samples of [10, 10, 10] shape from each normal\n",
"print(\"Shape of samples:\", normals.sample([10, 10, 10]).shape)\n",
"print(normals.sample([10,10,10])[0][0])"
],
"execution_count": 23,
"outputs": [
{
"output_type": "stream",
"text": [
"Shape of samples: (10, 10, 10, 3)\n",
"tf.Tensor(\n",
"[[-3.395741 1.5272462 2.1363413 ]\n",
" [-1.6994116 -1.3123636 4.5774465 ]\n",
" [-3.2345958 -2.1613019 1.9502716 ]\n",
" [-1.7654655 -0.54023707 2.5642838 ]\n",
" [-2.8865843 1.3964564 2.0466208 ]\n",
" [-3.5975013 -1.8901372 2.2907202 ]\n",
" [-1.6214621 -1.082077 3.0725152 ]\n",
" [-1.5081213 1.8106695 2.253949 ]\n",
" [-3.7281942 0.07397764 1.62925 ]\n",
" [-1.3175987 -0.47341937 2.2002492 ]], shape=(10, 3), dtype=float32)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "_N8x3ZxZVc3k",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "7e7467a3-5e37-4ec4-c55c-efe5e791d7ee"
},
"source": [
"# Each points gets evaluated under each normal in the batch\n",
"print(normals.log_prob([-2.5, 0., 2.5]))\n",
"\n",
"# One points gets evaluated under all normals\n",
"print(normals.log_prob(0.))"
],
"execution_count": 25,
"outputs": [
{
"output_type": "stream",
"text": [
"tf.Tensor([-0.9189385 -0.9189385 -0.9189385], shape=(3,), dtype=float32)\n",
"tf.Tensor([-4.0439386 -0.9189385 -4.0439386], shape=(3,), dtype=float32)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NL6SBCU2-zUr",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "7bfbd68a-cdec-4997-9009-cda0ffce772e"
},
"source": [
"# Making shapes agree\n",
"xs = np.linspace(-7, 7, 200)[..., np.newaxis]\n",
"print(xs.shape)\n",
"\n",
"lps = normals.log_prob(xs)\n",
"print(\"Broadcast log_prob shape:\", lps.shape)"
],
"execution_count": 30,
"outputs": [
{
"output_type": "stream",
"text": [
"(200, 1)\n",
"Broadcast log_prob shape: (200, 3)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "r5OFH-0e-918",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 290
},
"outputId": "2ff1fdac-b2ef-4a54-9fe2-35d333fa696c"
},
"source": [
"for i in range(3):\n",
" sns.distplot(samples[:, i], kde=False, norm_hist=True)\n",
"plt.plot(np.tile(xs, 3), normals.prob(xs), c='k', alpha=.5)\n",
"plt.title(\"Samples from 3 Normals, and their PDF's\")\n",
"plt.show()"
],
"execution_count": 31,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAERCAYAAABowZDXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNC0m/w/OJlR9X7iD7AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-szRToWkAElC",
"colab_type": "text"
},
"source": [
"### Multivariate distributions"
]
},
{
"cell_type": "code",
"metadata": {
"id": "RJPYRhxL00Jm",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 492
},
"outputId": "671f59fe-4877-4206-a3ce-cd3fdc2c8f54"
},
"source": [
"# A multivariate diagonal normal distribution\n",
"mvn = tfd.MultivariateNormalDiag(loc=[0., 0.], scale_diag = [1., 1.])\n",
"print(\"Batch shape:\", mvn.batch_shape) # 1 normal in the batch\n",
"print(\"Event shape:\", mvn.event_shape) # Samples are two-dimensional\n",
"\n",
"# Get 1000 samples\n",
"samples = mvn.sample(1000)\n",
"print(\"Samples shape:\", samples.shape)\n",
"\n",
"g = sns.jointplot(samples[:, 0], samples[:, 1], kind='scatter')\n",
"plt.show()"
],
"execution_count": 9,
"outputs": [
{
"output_type": "stream",
"text": [
"Batch shape: ()\n",
"Event shape: (2,)\n",
"Samples shape: (1000, 2)\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAacAAAGoCAYAAADiuSpNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 432x432 with 3 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "A2ZPEm4q19S1",
"colab_type": "text"
},
"source": [
"### Distribution of matrices\n",
"\n",
"The LKJ is a one-parameter family of distributions on correlation matrices, named after Lewandowski, Kurowicka, and Joe."
]
},
{
"cell_type": "code",
"metadata": {
"id": "YCXolixx2tj-",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 276
},
"outputId": "0b88b725-ecff-4863-f1f4-4cf3aa8a9e86"
},
"source": [
"lkj = tfd.LKJ(dimension=10, concentration=[1.5, 3.0])\n",
"print(\"Batch shape: \", lkj.batch_shape) # 2 LKJ distributions in the batch\n",
"print(\"Event shape: \", lkj.event_shape) # Samples are correlation matrices, so are 10x10\n",
"\n",
"# Draw one sample from each LKJ in the batch\n",
"samples = lkj.sample()\n",
"print(\"Samples shape: \", samples.shape)\n",
"\n",
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(6, 3))\n",
"sns.heatmap(samples[0, ...], ax=axes[0], cbar=False)\n",
"sns.heatmap(samples[1, ...], ax=axes[1], cbar=False)\n",
"fig.tight_layout()\n",
"plt.show()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "stream",
"text": [
"Batch shape: (2,)\n",
"Event shape: (10, 10)\n",
"Samples shape: (2, 10, 10)\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAADQCAYAAABStPXYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<Figure size 432x216 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RPvQgTEP59mW",
"colab_type": "text"
},
"source": [
"### Gaussian Process"
]
},
{
"cell_type": "code",
"metadata": {
"id": "9eLsVWxo6CsC",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "69437966-a27c-46a1-bdc8-8e94d20f779f"
},
"source": [
"# Define an RBF kernel\n",
"kernel = tfp.positive_semidefinite_kernels.ExponentiatedQuadratic()\n",
"# Specify the observations\n",
"xs = np.linspace(-5., 5., 200).reshape([-1, 1])\n",
"\n",
"# Define a GP\n",
"gp = tfd.GaussianProcess(kernel, index_points=xs)\n",
"print(\"Batch shape:\", gp.batch_shape) # 1 GP\n",
"print(\"Event shape:\", gp.event_shape) # 200 samples over the defined space"
],
"execution_count": 39,
"outputs": [
{
"output_type": "stream",
"text": [
"Batch shape: ()\n",
"Event shape: (200,)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NVvci4P-7C90",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 292
},
"outputId": "add68174-9dec-4f4d-baff-c3f7b05b0860"
},
"source": [
"upper, lower = gp.mean() + [2 * gp.stddev(), -2 * gp.stddev()]\n",
"plt.plot(xs, gp.mean())\n",
"plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
"\n",
"for _ in range(10):\n",
" plt.plot(xs, gp.sample(), c='r', alpha=.3)\n",
"\n",
"plt.title(\"GP prior mean, $2\\sigma$ intervals, and samples\")\n",
"plt.show()"
],
"execution_count": 40,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAETCAYAAADUAmpRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2cUz+WR2tgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "HTdcl7OqHUHs",
"colab_type": "text"
},
"source": [
"Gaussian process regression: inferring posterior mean and variance given observations."
]
},
{
"cell_type": "code",
"metadata": {
"id": "Q4x_rj9RHl_N",
"colab_type": "code",
"colab": {}
},
"source": [
"# Suppose we have some observed data\n",
"obs_x = [[-3.], [0.], [2.]] # Shape 3x1 (3 1-D vectors)\n",
"obs_y = [-3., -2., 2.] # Shape 3 (3 scalars)\n",
"\n",
"gprm = tfd.GaussianProcessRegressionModel(kernel, xs, obs_x, obs_y)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "HfzFBVXYHwWE",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 292
},
"outputId": "75d8a4a4-7df8-45ab-ad8a-af068db48e9b"
},
"source": [
"upper, lower = gprm.mean() + [2 * gprm.stddev(), -2 * gprm.stddev()]\n",
"plt.plot(xs, gprm.mean())\n",
"plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
"for _ in range(10):\n",
" plt.plot(xs, gprm.sample(), c='r', alpha=.3)\n",
"\n",
"plt.scatter(obs_x, obs_y, c='k', zorder=3)\n",
"plt.title(\"GP posterior mean, $2\\sigma$ intervals, and samples\")\n",
"plt.show()"
],
"execution_count": 44,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAETCAYAAADUAmpRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGGg0Go0G+P8BDmpNrK0tFXgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vkEyF8XUIRQJ",
"colab_type": "text"
},
"source": [
"## Bijectors\n",
"\n",
"Bijectors are invertible, smooth functions for transforming distributions, while preserving the ability to take samples and compute `log_prob`s.\n",
"\n",
"Each bijector implements at least 3 methods: \n",
" * `forward`,\n",
" * `inverse`, and\n",
" *`forward_log_det_jacobian` and `inverse_log_det_jacobian`.\n",
"\n",
"For a random variable $X$ with pdf $p(x)$ and a smooth invertible function $g$ on the domain of $X$: \n",
"$Y = g(X)$ is a new, transformed random variable with $p(Y=y) = p(X=g^{-1}(y)) \\cdot |\\nabla g^{-1}(y)|$\n",
"\n",
"Bijectors cache expensive computations facilitating efficient use."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "_4ZQAhklztxi",
"colab_type": "text"
},
"source": [
"CDF transform:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "y7Yq95McJ-4L",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "fc23a1de-abe1-4e6a-b288-6236c4475214"
},
"source": [
"# CDF transform\n",
"normal_cdf = tfp.bijectors.NormalCDF()\n",
"xs = np.linspace(-4., 4., 200)\n",
"plt.plot(xs, normal_cdf.forward(xs))\n",
"plt.show()"
],
"execution_count": 49,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEKCAYAAAASByJ7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3Xl8XHW9//HXJ3uTZmnThdKVltCF\nllIo2CKlgCK7oMgqiOAGLtfrVZDLhYv8BJVbr4ogVgWUyr2yiCIWKJetCAiWtXShpfu+Js2+z3x+\nf5xpDdO0maaTnEnm/Xw4jyQn30nelsm85zvnnO8xd0dERCQj7AAiIpIaVAgiIgKoEEREJEaFICIi\ngApBRERiVAgiIgKoEEREJEaFICIigApBRERiVAgiIgKoEEREJEaFICIigApBRERiVAgiIgJAVtgB\n2mNmrQRlVR12FhGRHqQIiLp7p57bLRWvh2BmUcCKi4vDjiIi0mNUVVUBuLt36t2flJwhANXFxcXF\nlZWVYecQEekxSkpKqKqq6vQ7K9qHICIigApBRERiVAgiIgKoEEREJCahQjCzW81sqZlFzeyS/Ywr\nM7PXzKzezF43s7LkRRURka6U6AxhBfBNYEEH4x4G/gr0B+YCD3U+moiIdKeEDjt19wcBzOw/9jXG\nzMYBY4BZ7t5iZv8FXG9mY919eVLSioh0krvTHInS1BqlsSVCc2uUSNRpjTrR2MfI7psHH1sjTtQ/\nPCbqTnD6lsd+bvDZ7lO6HN+zbffvpb3v7/k6GLPnjDCH4f3zmT6mtMv/TeIl8zyECcByd28BcPdm\nM1u+e3vbgWbW0QkGOiNNRD6krqmVbdWNbK9pYmdtE9UNrVQ3tlDd0BL7+M+v65oiNLVGaGyJ0tga\noSn2MQXPw23XOUcN6fGFUMDeS01UA32T+DtEpJfaVdfMmvI61pfXs668nnUVdWza1cD2mia2VzdS\n1xwJJVeGQWaGBTczMswg+B9mBoDFfx3bFnzW9vvEvm97thH3cwBKC3K64f/Z3pJZCHVAYdy2IqA2\nfqC7l+zvB8VmEJoliPRC7s6anXUs2lTF0i3VLNtSw7Kt1Wyrbkr4Z5TkZ1PSJ5uiPtkU5WVTmJdF\nUV42RX2CjwW5WeRlZ5KblUFediZ52Rl7fZ2TmUlmppHV5sk+MzP2sW0BZFjHgXqJZBbCUmCsmWW5\ne6uZ5QBHxLaLSJqKRJ1Fm6p4c20Fb6yt4M21uyiva97n+P4FOYzon8/I0nyG98tncHEegwpzg1tR\nHgP75pKTpSPmu0JChWBm2UAmwVFJ2WaWBzS7e3T3GHdfZmarge+Y2U+BbwMrtUNZJP1UN7bw8gc7\neX7ZNuYv30FFOwVQmJfF+CFFjD+kkPFDihh7SCFjBvWlKC87hMQCic8QfgNcGft8BjAHOMXMTgBG\nuPs1se9dEvveLcB7wKVJzCoiKayuqZV5i7fy+LubeG1VOa3RD+/BHdE/n6mj+jF1ZH+OG9WPMQP7\nptXbMT1Bqi5/XanVTkVSn7vz9vpKHnx9HfMWb6Wh5Z87fnMyM5g2ppSPjRvEqeMGMbx/fohJ00Ns\ntdOqjvbT7kuqLn8tIimsuTXK4+9u4oG/r2XJ5n8eXJiTlcFp4wdz7uQhzCgbSEGunmJ6Ev3XEpGE\nNbZEeGjBen79t9Vsrmrcs33i0CI++5GRnDVpCMV9tA+gp1IhiEiHWiNRHnpjAz97bgU7a4PDQzMz\njHOPGsLnThjFlOEle46ll55LhSAi++TuPP/+dn749Pus2lEHBPsGLpw6jGtmjtF+gV5GhSAi7dq4\nq57//MsSXli2HQjOor3w2GF867QjGFLcJ+R00hVUCCLyIZGoc/8ra/jJsx/sOWpoRtkAbjxrPOOH\nFIWcTrqSCkFE9thQUc+3Hn6XN9ftAmBQYS7f++SRnDnxEO0jSAMqBBHB3fnT25u45Ykl1Da1AnD5\ntBFcf8Y4nTmcRlQIImmusSXCzY8v5tG3NgIwsDCXH184mZlHDAw5mXQ3FYJIGttU2cA1v3+LRZuq\nAPj4+MHcccEkSvvmhpxMwqBCEElTC9ZUcM2Db1FR10yGwXWnj+OamaO1ryCNqRBE0tCT723hW4+8\nS3NrlJL8bO66dAozyvQWUbpTIYikmXtfXs3tT72PO4weWMADVx2vE8wEUCGIpA135455y5n90ioA\npo7sx71XTqUkP5zLNUrqUSGIpAF357Yn3+e+V9YAcObEQ/jpxUeTl50ZcjJJJSoEkV4uGnW+99cl\nzHltHQCfnjKUWRdOJlMXp5E4ujCpSC/m7tzapgwunjpcZSD7pBmCSC/202c/4IFYGVz2kRHcdt5E\nXbZS9kkzBJFe6t6XV/PzF1YCwdtEKgPpiApBpBd67K2N3Pbk+0Ds7OPPHKUykA6pEER6mddWlXPD\nn94DYProUu6+bArZmfpTl47pUSLSi6zeUcs1D75FS8QZO7iQX3/uWB1aKglTIYj0Ervqmrn6d29Q\n1dDCgL453Pf5qRRq6Wo5ACoEkV6gNRLlq//zNmvL68nNyuA3n5vKsH5ajkIOjApBpBeY9cxyXltd\nDsCPL5zMlBH9Qk4kPZEKQaSHe2rRFn71t9UAfGXmaM6dfGjIiaSnUiGI9GArt9dw3aMLgeCIous+\nMTbkRNKTqRBEeqiG5gjXPvg2dc0RhhTncddlU8jS4aVyEPToEemhvv/kUlZsryUrw/jFZ49hgC57\nKQdJhSDSAz29aAv/+4/1AHzn9LEco53IkgQJFYKZDTKzeWZWb2aLzWzaPsadZmaLzKzGzBaa2czk\nxhWRTZUNfPex4EzkEw8fwJdnjA45kfQWic4QZgOrgVJgFvCYmX1ofmpmWcCjwO1AEfBfwKNmplmI\nSJJEos63HnqX6sZWSgty+MlFk7VGkSRNh0/WZlYInAPc6u4N7v4AUAOcHDe0mKAIHnF3Bx4CBhCU\nSPzPrNzfLfazRCTO/a+sYcHaCiA432BQUV7IiaQ3SeTVexlQ6e7b2mxbBExoO8jdy4GHgc+aWSZw\nObAQ2JmkrCJpbeX2Gmb933IALj1+BKeMGxRyIultErlATgFQHbetGujbzthHgHuB3wK1wJmx2cKH\nuHvJ/n6hZgkiH9YaifLtRxbS3BplWL8+/MfZ48OOJL1QIjOEOqAwblsRwRP+HmY2HngA+CSQA5wP\n/MnMBichp0ham/3SKhZurAJg1mcm0zdXFzuU5EukEFYA/eKe2CcCS+PGTQQWuvur7h519/nAJuD4\npCQVSVMrt9dy5/MrALjqo6OYPmav3XIiSdFhIbh7DTAXuNnM8szsCoIZwvy4oe8Ck8zsIwBmdhIw\njr2LQ0QSFI06N/55ES0RZ3j/Plx/+riwI0kvlui881pgDlABrAEucPcmM7sRGOHu17j7CjP7OjDH\nzA4FtgDXuvuqLkkukgb++NZGFqwJjiq67fxJ9MnRxW6k6yRUCLEjjE5vZ/sP4r5+EHgwOdFE0tvO\n2iZufyq4LvInJx/KzCMGhpxIejudNCaSom5/8n2qGlooysvi5nMmdHwHkYOkQhBJQS+v2MGf39kE\nwL+fNZ6BhVq4TrqeCkEkxTS2RLjp8cUATB3Zj4unDg85kaQLFYJIirnnxZWsK68nO9P44acnaa0i\n6TYqBJEUsqGifs/lML80YzRlg+PPCRXpOioEkRTyo6eX0dQaZXBRLl875fCw40iaUSGIpIjXV5fz\n5KItANxw5jgKtDyFdDMVgkgKiESdW/8anNQ/ZUQJ500eGnIiSUcqBJEU8PAbG3h/S7Co8C3nHqkd\nyRIKFYJIyKrqW/hx7DoHnzl2GEcP3+/q8CJdRoUgErI7n19BRV0zBTmZXH/62LDjSBpTIYiEaPWO\nWua8thaAr59apktiSqhUCCIhmvXMclqjzrB+fbj6xFFhx5E0p0IQCcnb63fx9OKtAFx3+lhys7S0\ntYRLhSASAnfnR08vA2Di0CLOPerQkBOJqBBEQvHCsu17LnxzwxnjdZippAQVgkg3i0SdO+YFs4MZ\nZQM4sWxAyIlEAioEkW722Fsb+WBbLQDfPUPXSJbUoUIQ6UYNzRF+8uwHAJx/9KFMHFocciKRf1Ih\niHSj3/19LVurG8nJzODbn9BJaJJaVAgi3aS6sYXZL60C4PJpIxnePz/kRCIfpkIQ6Sb3v7KGqoYW\n8nMy+dopY8KOI7IXFYJIN6isb+a+l9cA8PkTRlHaNzfkRCJ7UyGIdIPfvLyamqZWCnOz+PJJo8OO\nI9IuFYJIFyuvbeK3r64F4OoTD6MkPyfcQCL7oEIQ6WKzX1pFfXOE4j7ZfGHGYWHHEdknFYJIF9pe\n3cic19YB8OWTRlOUlx1yIpF9UyGIdKF75q+iqTVK/4IcPn/CqLDjiOyXCkGki2yubOB//7EegGtn\njqEgNyvkRCL7l1AhmNkgM5tnZvVmttjMpu1jXI6Z/czMdppZlZk9kty4Ij3H3S+upDkSZWBhLpdP\nGxl2HJEOJfqSZTawGvgUcBHwmJmNdvemuHE/AkqBI4BqYFKygor0JBsq6nnkjQ0AfO3kMfTJ0cVv\nJPV1WAhmVgicAwx39wbgATP7d+Bk4Jk240qBK4DR7l4T2/xO0hOL9AB3vbCC1qgzpDiPS44fEXYc\nkYQk8pZRGVDp7tvabFsETIgbNwnYAtwWe8vobTM7ub0faGaV+7sBWgJSeqwNFfU89vYmAL52yuHk\nZWt2ID1DIoVQQPD2T1vVQN+4bYcSlMKO2Oe3AH+KzRxE0sY981cRic0OLpw6LOw4IglLZB9CHVAY\nt60IqI3b1gC0AD9y91bgr2a2EpgOzG070N1L9vcLNUuQnmpzZQN/fCvYd3DNzDHkZml2ID1HIjOE\nFUA/MxvcZttEYGncuCWxj56MYCI90a9eWkVLxBlYmMvFxw0PO47IAemwEGI7iOcCN5tZnpldQTBD\nmB837gPgbeB6M8s0szOBMcBrSU8tkoK2Vzfyh9iRRV85abT2HUiPk+iJadcS7FyuAG4ALnD3JjO7\n0cxmtxl3KXAmwT6GO4DPuHt5MgOLpKpf/201zbGzki/7iI4skp4nofMQYkcYnd7O9h/Efb0GOCk5\n0UR6jvLaJv4ndlbyF2ccRn6OzkqWnkdLV4gkwb2vrKGhJVjR9HPTR4UdR6RTVAgiB6myvpk5f18L\nwNUfPYy+WrNIeigVgshBuv/VtdQ1RyjMzeLzHx0VdhyRTlMhiByE6sYWfvtqcK3kK08YRXEfXe9A\nei4VgshBmPP3tdQ0tpKfk8nVJ+pqaNKzqRBEOqmuqZX7XglmB1dMG0n/Al0rWXo2FYJIJz34+jp2\n1beQl53BF2eMDjuOyEFTIYh0QkNzhN+8vBqAS48fwcDC3JATiRw8FYJIJ/xhwXp21jaTk5nBV04a\nE3YckaRQIYgcoMaWCL/62yoALjpuGIcU54WcSCQ5VAgiB+jRtzayrbqJrAzjmpmaHUjvoUIQOQDN\nrVFmzw9mBxccM4xh/fJDTiSSPCoEkQPw53c2sqmygcwM46unaHYgvYsKQSRBrZEo98RmB+dNPpSR\npQUhJxJJLhWCSILmvreFdeX1mMFXTzk87DgiSadCEElANOrc/eJKAM6aNITDB/UNOZFI8qkQRBIw\nb8lWVm6vBeDrmh1IL6VCEOmAu3PXC8Hs4LQJgxk/pCjkRCJdQ4Ug0oHn39/O+1uqAfjGqZodSO+l\nQhDZj2B2sAKAmUcM5KhhJSEnEuk6KgSR/Xh5xU4WbqwCNDuQ3k+FILIfd8f2HUwfXcrUUf1DTiPS\ntVQIIvvw+upyFqytADQ7kPSgQhDZh92zg2NGlDB9TGnIaUS6ngpBpB1vr9/FKyt3AvCNj5VhZiEn\nEul6KgSRduyeHUwaWszJRwwMOY1I91AhiMRZvKmKF5ZtB+Drpx6u2YGkDRWCSJzds4Oxgws5bfzg\nkNOIdB8VgkgbH2yrYd6SrUAwO8jI0OxA0ocKQaSN3bOD0QMKOGvSkJDTiHSvhArBzAaZ2Twzqzez\nxWY2rYPxl5iZm9klyYkp0vVW76hl7nubgeB6B5maHUiaSXSGMBtYDZQCs4DHzCy3vYFmVgDcBCxJ\nSkKRbvLz51cQdRjevw/nHX1o2HFEul2HhWBmhcA5wK3u3uDuDwA1wMn7uMvNwH3Azv38zMr93YDi\nA/5/InIQVm6v4S8Lg9nBv5xaRnam3k2V9JPIo74MqHT3bW22LQImxA80syOAM4G7kxNPpHvc+fxK\n3GFUaT6fmjI07DgiochKYEwBUB23rRpo7xqCdwLfdfeW/R277e77XUNYswTpTh9sq9mz7+Abp5aR\npdmBpKlEHvl1QGHctiKgtu0GMzsPaHX3eUnKJtIt7nxuBe7BkUXadyDpLJEZwgqgn5kNbvO20UTg\n3rhxpwAnmdnW2Nf9gaPNbIy7356cuCLJtWxrNU8u2gLAv3xMswNJbx0++t29BpgL3GxmeWZ2BcEM\nYX7c0JuBscDRsdubwHcJ3kYSSUk/eza4GtqYgQWcO1mzA0lvicwQAK4F5gAVwBrgAndvMrMbgRHu\nfk2sOGp238HMmoEqd69t9yeKhGzJ5qo9ZyV/8+NH6LwDSXsJFULsraLT29n+g/3c5+TOxxLpenc+\nF8wOygb15WydlSyipSskPS3eVMX/LQ12iX3z42WaHYigQpA09bPnPgCCFU3PmqjZgQioECQNLdxQ\nyXPvB9c7+NePl2lFU5EYFYKknf96ZhkA44cUcfqRh4ScRiR1qBAkrbyyYievriwH4Pozxmp2INKG\nCkHShrtzx7xgdnD8Yf11rWSROCoESRtPL97Kok1VAHz3jLG6VrJIHBWCpIXWSJQfP7McgI+PH8yx\nI/uHnEgk9agQJC08+tZGVu+swyzYdyAie1MhSK/X2BLZc97Bp6cM44jB8Yv3igioECQNPPD3tWyr\nbiInM4NvnVYWdhyRlKVCkF5tV10zv3hxJQCXTxvJsH75IScSSV0qBOnV7nx+BdWNrRTmZfG1U8aE\nHUckpakQpNdaub2W37++DoBvnHo4pX1zQ04kktpUCNJr/eCp94lEnZGl+Vx5wqiw44ikPBWC9Eov\nr9jBC8uCBez+/cxx5GZlhpxIJPWpEKTXiUSd2+a+DwRLVGgBO5HEqBCk13n4jQ0s31aDGdx89gQt\nUSGSIBWC9Co1jS385NlgiYpPTxnGpGHFIScS6TlUCNKr/Pz5FeysbaZPdqaWqBA5QCoE6TWWb63h\n/lfXAvDVk8cwuCgv3EAiPYwKQXoFd+emxxcRiTqjBxTw5Zmjw44k0uOoEKRXeOztTbyxdhcA/++8\niTrMVKQTVAjS41XWN/PDp4LDTM+dfCgnlg0IOZFIz6RCkB5v1jPLKa9rpm9uFjedPT7sOCI9lgpB\nerR3N1TyvwvWA/Bvpx2hHckiB0GFID1WayTKTY8vwh3GDynic9NHhh1JpEdTIUiPdd8ra1i8qRqA\n286fSFamHs4iB0N/QdIjrdpRy38/G1wW88rpIzl2ZL+QE4n0fAkVgpkNMrN5ZlZvZovNbNo+xjxi\nZtvMrMLM/mJmw5IfWdJdNOp894/v0dwaZWhJH64/Y1zYkUR6hURnCLOB1UApMAt4zMzirzZSALwC\nTAQGx8b/Nkk5RfaY89pa3lwXnHNwxwVHUZCbFW4gkV6iw0Iws0LgHOBWd29w9weAGuDktuPcfY27\n/9zdd7h7C3APsNdMQuRgrN1Zxx3zgsXrLp46XOcciCRRIi+tyoBKd9/WZtsiYALwzH7udwKwpL1v\nmFllB79TS1TKXlojUf714XdpaIlwSFEeN+qcA5GkSqQQCoDquG3VQN993cHMRgJ3AJd3PprIh939\n4kre3RC8lvjviyZT3Cc75EQivUsihVAHFMZtKwJq2xtsZqXA08Dt7v5ce2PcvWR/vzA2g9AsQfZ4\nZ/0u7nphJQBfOPEwPnq43ioSSbZEdiqvAPqZ2eA22yYCS+MHmlkB8CTwuLvflZyIku7qmlr5t0cW\nEok6YwcXct3pus6BSFfosBDcvQaYC9xsZnlmdgXBDGF+23FmlgP8CVji7jd2QVZJQ+7OjX9exJqd\ndeRkZvDTi48mL1srmYp0hUQPO72WYOdyBXADcIG7N5nZjWY2OzZmOvAJ4BIzq21zG5H82JIu/rBg\nA395dzMA/3H2eCYcWhRyIpHeK6EDuGNHGJ3ezvYftPn8JUBXM5ekWbK5iu/9NThQ7exJQ7RWkUgX\n09IVkpKqG1v42v+8TXNrlJGl+fzwgkmY6fWGSFdSIUjKiUSdb/7hHdaW15OTlcEvLjuGojwdYirS\n1VQIknJmPbOcF5fvAIJVTCcO1RHIIt1BhSAp5S/vbmL2S6sAuPqjh3HR1OEhJxJJHyoESRnvrN/F\n9X98D4ATDx/AjWdpFVOR7qRCkJSwZmcdX3jgTZpiO5HvvmyKLngj0s30Fyeh21HTxJX3L6Cirpn+\nBTn87qrjKcnPCTuWSNpRIUio6ppa+cIDb7C+op687Azuu3Iqhw0oCDuWSFpSIUhoGpojXP27N3hv\nYxUZBr+47BimjNClMEXCokKQUDS2RPjSnDf5x5oKAH50wVF8bPzgDu4lIl1JhSDdrqk1wld+/xav\nrNwJBOca6PBSkfDpYrTSreqaWvny79/k1ZXlANxy7gQun6Y1ikRSgQpBus2uumau+t0be656dtPZ\n47nqo4eFnEpEdlMhSLfYUtXAlfcv4INttWQY/OBTk7jkeK2MLpJKVAjS5RZuqORLc95ke00T2ZnG\nnZdM4axJQ8KOJSJxVAjSpea+t5lvP7KQptYohXlZ/PKzx3Jima6HLJKKVAjSJVojUf772Q/45fxg\nobqRpfncd+VxHD6ob8jJRGRfVAiSdJsrG/iXP7zDm+t2ATBtdH9++dlj6Veg5ShEUpkKQZLqmSVb\nueGx99hV3wLANTPH8O1PHEG2FqoTSXkqBEmKirpmvvfEEp5YuBmAfvnZ/OSiozll3KCQk4lIolQI\nclDcnScWbub7c5eys7YZgBllA7jjgqM4tKRPyOlE5ECoEKTTlm6u5ntPLGHB2mA9osLcLG46ZzwX\nTR2OmYWcTkQOlApBDtjGXfXc9fxKHn1rA1EPtp1x5CH857kTNCsQ6cFUCJKwrVWN3DN/JX9YsJ6W\nSNAEhw/qyy3nTmBG2cCQ04nIwVIhSIeWbq7m3pdX88TCzbTGpgSDi3L5+imHc8nxI3QEkUgvoUKQ\ndjU0R3hq0RYefnMDC2LXLAAY0DeXa2aO5vJpI8nLzgwxoYgkmwpB9mhqjfD3leU8vXgLTy/aSk1T\n657vlQ3qy5dmjOaTRx+qIhDppVQIaa6qvoVXV+1k3uKtvLBsO7VtSiAnM4PTjhzMJccN58TDB+jI\nIZFeToWQZqrqW3hzXQWvrSrntdXlLN1Sjfs/v28Gx43qz1kTD+GTRw+lv5abEEkbKoReyt3ZWt3I\nim21LN5cxZJN1SzaVMX6ivq9xmZnGtNGl3LmxCGcNmEwAwtzQ0gsImFLqBDMbBAwBzgJWA180d1f\nb2dcWWzcZOA94Ap3X5G8uLJbNOpU1DeztaqRrVWNbKluZGtVA+vK61m9o441O+toaIm0e9+sDOOo\nYcVMH1PK9NEDOHZkP/rkaL+ASLpLdIYwm6AIPgVcBDxmZqPdvSlu3MPAH4FTgO8ADwHHJilrjxeN\nOs2RKK1Rp6U1Sks0SlNLlPrmCHXNrTQ0R6hraqWhJUJdU4T65laqGlrYVd9MZX1LcGtoZlddCztq\nmmiORDv8nRkGZYMKOXJoEZOGFjNxaDEThhRRkKvJoYh8mHnbN5DbG2BWCJQDw919W2zbMuCb7v5M\nm3HjgH8AA9y9xcxygJ3Ace6+PO5nVnaQq7i4uJjKyo6G7e0rv3+TxpYoTvC2CYA7OB583NfnsfG+\nZ3zwSXSv8e3/3GjsvpGo0xqJPfFHorREnJZIlJZIdM9ZvcmWm5XBkOI8DinOY1i/fEYPLGD0gL6M\nGVjAiNJ8crP06l8kHZSUlFBVVVXl7iWduX8iLxPLgMrdZRCzCJgAPNNm2wRgubu3ALh7s5kt3729\nM+E646UPdtDY0vEr51RkBvnZmeTnZpGfk0l+ThbFfbIo6ZNDv4JsSvJzKOmTTUl+NoMKgwIYUpxH\ncZ9sHQEkIgctkUIoAKrjtlUD8Ze+SnQcHbVXbAZRnEC2vXzhxMNojTgYGIYZGMQ+tv3a2tnGnidW\nM8gw2+u+7L7vnu2QkRF8jRlZGUZ2ZgbZmcHHrAwjOyuD7IwMsjI//L3sTCM3K5P8nEwKcrPIzcrQ\nE7uIhCaRQqgDCuO2FQG1nRzXpa47fVx3/joRkV4jkUVoVgD9zGxwm20TgaVx45YCY80sCyC2D+GI\ndsaJiEgK6rAQ3L0GmAvcbGZ5ZnYFwSv/+XHjlhEcifQdM8slOMpoZfwOZRERSU2JLlN5LcHO5Qrg\nBuACd28ysxvNbHabcZcA5wOVwHnApckMKyIiXafDw07DYGaVxcXFxZ057FREJF0d7GGnWsheREQA\nFYKIiMSk6ltGUcCKizt1KoKISFqqqqoCcHfv1Iv9VC2EVoLZS/yJbonY3SJVyUuUFMp1YJTrwCjX\ngUnVXHBw2YqAqLt3arGylCyEg7F7naTO7lTpKsp1YJTrwCjXgUnVXBBuNu1DEBERQIUgIiIxKgQR\nEQFUCCIiEqNCEBERQIUgIiIxKgQREQF64XkIIiLSOZohiIgIoEIQEZEYFYKIiAAqBBERiUmLQjCz\n2WbmZnZICmQZaWZvmNkuM6sws8fNbEgK5JpuZi/Gcm0xs5+bWXYK5BpsZnPNbIeZNYacZZCZzTOz\nejNbbGbTwsyzm5ndamZLzSxqZpeEnWc3M8s1s9+a2UYzq4o9vo4MOxeAmf0y9jivNrNFZnZO2Jl2\ni/0tRs3shu7+3b2+EMzsGGBC2DnaKAcuBvoDg4H3gZ+FmihQDNwJDAMmApOB60NNFIgCc4Grww4C\nzAZWA6XALOAxM8sNNxIAK4BvAgvCDhIni+DfaxrB4/2vwOOhJvqnO4HD3L0IuAp40Mz6hZwJM8sA\nfgq8Ecbv79WFYGYG/Bz4VthZdnP3Wndf7cHxvgY4cFjIsXD3ee7+uLvXuXs58CDBH3LYuXa4+2xg\nUZg5zKwQOAe41d0b3P0BoAYt0nwYAAAC7klEQVQ4OcxcAO7+oLs/C4Q6g4oXeyx93903unsEuBsY\nY2alKZBtmbu3/ffKBUKfqQNfBv5B8EKx2/XqQgCuBJa5+1thB4kXW/O8AfgOwSuCVHMCsCTsECmk\nDKh0921tti0itWafqW46sD32giN0ZnaPmTUQvBp/jpCehNvkKQX+FbglrAyduqpOT2BmxcCNwIlh\nZ2mPu5eYWRHwRWBV2HnaMrOzgTMJ3jaSQAF7X8GvGugbQpYex8xKgF8T/E2mBHf/qpl9AzgFONLD\nP0v3duBn7l4ZvLnR/XrsDMHM5sd2FLd3+w7wPeBX7r49xXLt4e7VwAPA49bFj4BEc5nZccD9wPlx\nr4ZDzZUC6oDCuG1FQG0IWXoUM8sD/gLMdff7w87TlrtH3P054ONmdnpYOcxsCnAc8JuwMkAPniG4\n+8n7+76ZvQsMNbPr2mx+z8wudvcXw8rVjiyC9y7zCZ50ukQiucxsHPAEcJW7v95VWdrqxL9XWFYA\n/cxscJuinAjcG2KmlGdmmcBDwAaCt0dTVRYwJsTfPxMYC2yKvTYsBlrNbJS7X9NdIXpsISTgY0Db\nwya3xLYtDydOwMxOInjif5fgFeYsYIG7d1kZJJhrOPAMcIO7PxVmlnixV5i5bT53d2/qzgzuXmNm\nc4GbYzOXCwn++83vzhztiR0enEkw48+O/Rs1u3s03GRA8Io3D7gwBd6SAcDM+gLnExzx1AicR/C2\nUZhH1f2aoDh3u5PgRcis7gzRY98y6oi7l7v71t232OYd7t4carDgPecHgSqCcuoDXBRqosDVwHDg\nF2ZWG7ulyk7lBmAZQSk0EF6pX0uwc7kCuAG4oLuLaR9+Q/DvMgOYE/v8pFATEZxzQ3BI50xgV5vH\n1YyQoznB430jwWHgNwKXuntoR7K5e33c81UDUOvuVd2ZQ6udiogI0ItnCCIicmBUCCIiAqgQREQk\nRoUgIiKACkFERGJUCCIiAqgQREQkRoUgIiKACkFERGL+P1qvZ/901sqnAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8pFng-XHyGjT",
"colab_type": "text"
},
"source": [
"Transforming a distribution:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "mEPQyrVEttlj",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "c251492c-297f-435d-f313-0b036f1cf28d"
},
"source": [
"exp_bijector = tfp.bijectors.Exp()\n",
"# Exponential normal is a log-normal distribution\n",
"log_normal = exp_bijector(tfd.Normal(0., .5))\n",
"\n",
"# Get samples\n",
"samples = log_normal.sample(1000)\n",
"xs = np.linspace(1e-10, np.max(samples), 200)\n",
"\n",
"# Log of samples are normally distributed\n",
"sns.distplot(np.log(samples), norm_hist=True, kde=True)\n",
"\n",
"# The samples are log-normally distributed\n",
"sns.distplot(samples, norm_hist=True, kde=False)\n",
"plt.plot(xs, log_normal.prob(xs), c='k', alpha=.75)\n",
"plt.show()"
],
"execution_count": 60,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAEKCAYAAAASByJ7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWk++BHinaw0AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "EtqT9hm8zwAY",
"colab_type": "text"
},
"source": [
"Softplus is a bijector implementing $Y = g(X) = Log[1 + exp(X)]$. \n",
"One can define a batch of bijectors:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "mhRrcjJUz76K",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "44e36386-3bc7-4192-80a4-d2b4fd00f3dd"
},
"source": [
"# A batch of 3 softplus bijectors\n",
"softplus = tfp.bijectors.Softplus(\n",
" hinge_softness=[1., .5, .1])\n",
"print(\"Hinge softness shape:\", softplus.hinge_softness.shape)"
],
"execution_count": 61,
"outputs": [
{
"output_type": "stream",
"text": [
"Hinge softness shape: (3,)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "91uIDFFv0LYm",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "cff83f5e-05f5-4d3b-c4dc-f82be73b8857"
},
"source": [
"# For broadcasting, make this shape [200, 1]\n",
"xs = np.linspace(-4., 4., 200)[..., np.newaxis]\n",
"ys = softplus.forward(xs)\n",
"print(\"Forward shape:\", ys.shape) # Shape of the transformed points"
],
"execution_count": 62,
"outputs": [
{
"output_type": "stream",
"text": [
"Forward shape: (200, 3)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "1YAJcHsF0UST",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "dd66bdda-e2f9-4d52-8dab-c2ae6f682723"
},
"source": [
"# Plot softplus of points with different softness\n",
"lines = plt.plot(np.tile(xs, 3), ys)\n",
"\n",
"# Populate the legend\n",
"for line, hs in zip(lines, softplus.hinge_softness):\n",
" line.set_label(\"Softness: %1.1f\" % hs)\n",
"\n",
"plt.legend()\n",
"plt.show()"
],
"execution_count": 64,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ZEpKm--a07T2",
"colab_type": "text"
},
"source": [
"## Markov Chain Monte Carlo"
]
},
{
"cell_type": "code",
"metadata": {
"id": "vEfNuXra254B",
"colab_type": "code",
"colab": {}
},
"source": [
"# Generate some data\n",
"def f(x, w):\n",
" # Pad x with 1's so we can add bias via matmul\n",
" x = tf.pad(x, [[1, 0], [0, 0]], constant_values=1)\n",
" linop = tf.linalg.LinearOperatorFullMatrix(w[..., np.newaxis])\n",
" result = linop.matmul(x, adjoint=True)\n",
" return result[..., 0, :]\n",
"\n",
"num_features = 2\n",
"num_examples = 50\n",
"noise_scale = .5\n",
"true_w = np.array([-1., 2., 3.]) # True bias\n",
"\n",
"xs = np.random.uniform(-1., 1., [num_features, num_examples])\n",
"ys = f(xs, true_w) + np.random.normal(0., noise_scale, size=num_examples)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "uu6pqxpX3qpB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "dfc98127-014a-46a3-fb5d-bf0e1b5d8b4b"
},
"source": [
"plt.scatter(*xs, c=ys, s=100, linewidths=0)\n",
"\n",
"grid = np.meshgrid(*([np.linspace(-1, 1, 100)] * 2))\n",
"xs_grid = np.stack(grid, axis=0)\n",
"fs_grid = f(xs_grid.reshape([num_features, -1]), true_w)\n",
"fs_grid = np.reshape(fs_grid, [100, 100])\n",
"plt.colorbar()\n",
"plt.contour(xs_grid[0, ...], xs_grid[1, ...], fs_grid, 20, linewidths=1)\n",
"\n",
"plt.show()"
],
"execution_count": 87,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEKCAYAAADw2zkCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYDAYMGJgMBgMBowYGAwGgwH4f57EwUgxkRt5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "N-FO7WhVHJ68",
"colab_type": "text"
},
"source": [
"The model is: \n",
"$\\mathbf{w} \\sim N(\\mathbf{0}, diag(\\mathbf{1}))$ \n",
"$y_i \\sim N(\\mathbf{w} x_i, \\sigma)$ \n",
"\n",
"Define the unnormalised log joint probability:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "_40q6CfWD3A-",
"colab_type": "code",
"colab": {}
},
"source": [
"# Define the joint_log_prob function, and our unnormalized posterior.\n",
"def joint_log_prob(w, x, y):\n",
" # Our model in maths is\n",
" # w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
" # y_i ~ Normal(w @ x_i, noise_scale), i=1..N\n",
"\n",
" rv_w = tfd.MultivariateNormalDiag(\n",
" loc=np.zeros(num_features + 1),\n",
" scale_diag=np.ones(num_features + 1))\n",
"\n",
" rv_y = tfd.Normal(f(x, w), noise_scale)\n",
" return (rv_w.log_prob(w) +\n",
" tf.reduce_sum(rv_y.log_prob(y), axis=-1))\n",
"\n",
"# Create our unnormalized target density by currying x and y from the joint.\n",
"def unnormalized_posterior(w):\n",
" return joint_log_prob(w, xs, ys)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "s-kCeY3aMeeS",
"colab_type": "text"
},
"source": [
"Create a Hamiltonian Monte Carlo and run the chain with it."
]
},
{
"cell_type": "code",
"metadata": {
"id": "7E58GueLEGYB",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "671b11da-6c88-465b-8c4d-b68dcbb4ae8d"
},
"source": [
"# Create an HMC TransitionKernel\n",
"hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
" target_log_prob_fn=unnormalized_posterior,\n",
" step_size=np.float64(.1),\n",
" num_leapfrog_steps=2)\n",
"\n",
"# We wrap sample_chain in tf.function, telling TF to precompile a reusable\n",
"# computation graph, which will dramatically improve performance.\n",
"@tf.function\n",
"def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
" return tfp.mcmc.sample_chain(\n",
" num_results=num_results,\n",
" num_burnin_steps=num_burnin_steps,\n",
" current_state=initial_state,\n",
" kernel=hmc_kernel,\n",
" trace_fn=lambda current_state, kernel_results: kernel_results)\n",
"\n",
"initial_state = np.zeros(num_features + 1)\n",
"samples, kernel_results = run_chain(initial_state)\n",
"print(\"Acceptance rate:\", kernel_results.is_accepted.numpy().mean())"
],
"execution_count": 89,
"outputs": [
{
"output_type": "stream",
"text": [
"Acceptance rate: 0.9\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MU3f-H-3Mlgl",
"colab_type": "text"
},
"source": [
"Add a step size adaptation in the chain:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Pa_9FpeBEPeL",
"colab_type": "code",
"colab": {}
},
"source": [
"# Apply a simple step size adaptation during burnin\n",
"@tf.function\n",
"def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
" adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
" hmc_kernel,\n",
" num_adaptation_steps=int(.8 * num_burnin_steps),\n",
" target_accept_prob=np.float64(.65))\n",
"\n",
" return tfp.mcmc.sample_chain(\n",
" num_results=num_results,\n",
" num_burnin_steps=num_burnin_steps,\n",
" current_state=initial_state,\n",
" kernel=adaptive_kernel,\n",
" trace_fn=lambda current_state, kernel_results: kernel_results)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SVdyHywjEfwl",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
},
"outputId": "bdda63d8-c582-4dc3-9040-cc502fbdd24f"
},
"source": [
"samples, kernel_results = run_chain(\n",
" initial_state=np.zeros(num_features+1))\n",
"print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())"
],
"execution_count": 91,
"outputs": [
{
"output_type": "stream",
"text": [
"Acceptance rate: 0.539\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JEiWF6gvEzag",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "e35c6e9d-0a6b-4694-c8b6-83256963de0c"
},
"source": [
"# Trace plots\n",
"colors = ['b', 'g', 'r']\n",
"for i in range(3):\n",
" plt.plot(samples[:, i], c=colors[i], alpha=.3)\n",
" plt.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
"plt.legend(loc='upper right')\n",
"plt.show()"
],
"execution_count": 94,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYMAAAEKCAYAAADw2zkCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "isb6FRhuFHq6",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"outputId": "3ba28bf8-8d2a-440b-f23d-f39e4214b9a2"
},
"source": [
"# Histogram of samples\n",
"for i in range(3):\n",
" sns.distplot(samples[:, i], color=colors[i])\n",
"ymax = plt.ylim()[1]\n",
"for i in range(3):\n",
" plt.vlines(true_w[i], 0, ymax, color=colors[i])\n",
"plt.ylim(0, ymax)\n",
"plt.show()"
],
"execution_count": 95,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEKCAYAAAAcgp5RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVzo22gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "LfYmAgtAFQD6",
"colab_type": "text"
},
"source": [
"Run multiple chains:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "JRnj7E3bFSHd",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
},
"outputId": "1959fc0b-dd52-406d-d828-bcc2bc02bbaf"
},
"source": [
"# Instead of a single set of initial w's, we create a batch of 8.\n",
"num_chains = 8\n",
"initial_state = np.zeros([num_chains, num_features + 1])\n",
"\n",
"chains, kernel_results = run_chain(initial_state)\n",
"\n",
"r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
"print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())\n",
"print(\"R-hat diagnostic (per latent variable):\", r_hat.numpy())"
],
"execution_count": 96,
"outputs": [
{
"output_type": "stream",
"text": [
"Acceptance rate: 0.544125\n",
"R-hat diagnostic (per latent variable): [1.0006847 1.00314857 1.00370047]\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I4lpyia7MsLL",
"colab_type": "text"
},
"source": [
"A final programme with further modelling the noise parameter $\\sigma$:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "5BtfIhKvM28o",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
},
"outputId": "b4fe8103-a60c-460f-c71d-be87df3669bf"
},
"source": [
"# Define the joint_log_prob function, and our unnormalized posterior.\n",
"def joint_log_prob(w, sigma, x, y):\n",
" # Our model in maths is\n",
" # w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
" # y_i ~ Normal(w @ x_i, noise_scale), i=1..N\n",
"\n",
" rv_w = tfd.MultivariateNormalDiag(\n",
" loc=np.zeros(num_features + 1),\n",
" scale_diag=np.ones(num_features + 1))\n",
" \n",
" \n",
" # Model the sigma parameter\n",
" rv_sigma = tfd.LogNormal(np.float64(1.), np.float64(5.))\n",
"\n",
" rv_y = tfd.Normal(f(x, w), sigma[..., np.newaxis])\n",
" return (rv_w.log_prob(w) +\n",
" rv_sigma.log_prob(sigma) +\n",
" tf.reduce_sum(rv_y.log_prob(y), axis=-1))\n",
"\n",
"# Create our unnormalized target density by currying x and y from the joint.\n",
"def unnormalized_posterior(w, sigma):\n",
" return joint_log_prob(w, sigma, xs, ys)\n",
"\n",
"\n",
"# Create an HMC TransitionKernel\n",
"hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
" target_log_prob_fn=unnormalized_posterior,\n",
" step_size=np.float64(.1),\n",
" num_leapfrog_steps=4)\n",
"\n",
"\n",
"\n",
"# Create a TransformedTransitionKernl\n",
"transformed_kernel = tfp.mcmc.TransformedTransitionKernel(\n",
" inner_kernel=hmc_kernel,\n",
" bijector=[tfb.Identity(), # w\n",
" tfb.Invert(tfb.Softplus())]) # sigma\n",
"\n",
"\n",
"# Apply a simple step size adaptation during burnin\n",
"@tf.function\n",
"def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
" adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
" transformed_kernel,\n",
" num_adaptation_steps=int(.8 * num_burnin_steps),\n",
" target_accept_prob=np.float64(.75))\n",
"\n",
" return tfp.mcmc.sample_chain(\n",
" num_results=num_results,\n",
" num_burnin_steps=num_burnin_steps,\n",
" current_state=initial_state,\n",
" kernel=adaptive_kernel,\n",
" trace_fn=lambda cs, kr: kr)\n",
"\n",
"\n",
"# Instead of a single set of initial w's, we create a batch of 8.\n",
"num_chains = 8\n",
"initial_state = [np.zeros([num_chains, num_features + 1]),\n",
" .54 * np.ones([num_chains], dtype=np.float64)]\n",
"\n",
"chains, kernel_results = run_chain(initial_state)\n",
"\n",
"r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
"print(\"Acceptance rate:\", kernel_results.inner_results.inner_results.is_accepted.numpy().mean())\n",
"print(\"R-hat diagnostic (per w variable):\", r_hat[0].numpy())\n",
"print(\"R-hat diagnostic (sigma):\", r_hat[1].numpy())"
],
"execution_count": 99,
"outputs": [
{
"output_type": "stream",
"text": [
"Acceptance rate: 0.687\n",
"R-hat diagnostic (per w variable): [1.00450068 1.00972355 1.00529945]\n",
"R-hat diagnostic (sigma): 1.0175071301288543\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "lcZTyC2jNViW",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1173
},
"outputId": "ee795080-b918-40e7-e11a-83dbab0ba5c0"
},
"source": [
"w_chains, sigma_chains = chains\n",
"\n",
"# Trace plots of w (one of 8 chains)\n",
"colors = ['b', 'g', 'r', 'teal']\n",
"fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
"for j in range(num_chains):\n",
" for i in range(3):\n",
" ax = axes[i][j]\n",
" ax.plot(w_chains[:, j, i], c=colors[i], alpha=.3)\n",
" ax.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
" ax.legend(loc='upper right')\n",
" ax = axes[3][j]\n",
" ax.plot(sigma_chains[:, j], alpha=.3, c=colors[3])\n",
" ax.hlines(noise_scale, 0, 1000, zorder=4, color=colors[3], label=\"$\\sigma$\".format(i))\n",
" ax.legend(loc='upper right')\n",
"fig.tight_layout()\n",
"plt.show()\n",
"\n",
"# Histogram of samples of w\n",
"fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
"for j in range(num_chains):\n",
" for i in range(3):\n",
" ax = axes[i][j]\n",
" sns.distplot(w_chains[:, j, i], color=colors[i], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
" for i in range(3):\n",
" ax = axes[i][j]\n",
" ymax = ax.get_ylim()[1]\n",
" ax.vlines(true_w[i], 0, ymax, color=colors[i], label=\"$w_{}$\".format(i), linewidth=3)\n",
" ax.set_ylim(0, ymax)\n",
" ax.legend(loc='upper right')\n",
"\n",
"\n",
" ax = axes[3][j]\n",
" sns.distplot(sigma_chains[:, j], color=colors[3], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
" ymax = ax.get_ylim()[1]\n",
" ax.vlines(noise_scale, 0, ymax, color=colors[3], label=\"$\\sigma$\".format(i), linewidth=3)\n",
" ax.set_ylim(0, ymax)\n",
" ax.legend(loc='upper right')\n",
"fig.tight_layout()\n",
"plt.show()"
],
"execution_count": 113,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAACPgAAAI4CAYAAAD9ZcXTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 2304x576 with 32 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAACPgAAAI4CAYAAAD9ZcXTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHxERERERERERERERERERERGRIPb/ASuapwuI+GpyAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 2304x576 with 32 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment