ixxi-dante/nw2vec

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projects/correctness/bernoulli-vs-gaussian-feature-codec.ipynb

Summary

Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GCNAE: looking at the performance change when using a Bernoulli vs. Gaussian codec for binary features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports and setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "import random\n",
    "import os\n",
    "\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.stats\n",
    "import sklearn.preprocessing\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "import networkx as nx\n",
    "\n",
    "import keras\n",
    "from keras import backend as K\n",
    "import tensorflow as tf\n",
    "from tensorflow.python import debug as tf_debug\n",
    "from keras.utils.vis_utils import model_to_dot\n",
    "from keras_tqdm import TQDMNotebookCallback as TQDMCallback\n",
    "\n",
    "from progressbar import ProgressBar\n",
    "from IPython.display import SVG, HTML, display\n",
    "\n",
    "from nw2vec import ae\n",
    "from nw2vec import utils\n",
    "from nw2vec import codecs\n",
    "from nw2vec import layers\n",
    "from nw2vec import viz\n",
    "from nw2vec import batching"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "random.seed(1)\n",
    "np.random.seed(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model drawing routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_ξ_distribution(glk, q_model, adj, features):\n",
    "    g, l, k = glk\n",
    "    palette = np.concatenate([np.array(sb.color_palette(n_colors=l)),\n",
    "                              .5 * np.ones((l, 1))],\n",
    "                             axis=1)\n",
    "    communities = ([[i] for i in range(l)] * np.ones((l, k), dtype=np.int32)).reshape(-1)\n",
    "    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))#, sharex=True, sharey=True)\n",
    "\n",
    "    x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                        adj.shape[0], 1,\n",
    "                                        p=1, q=1, neighbour_samples=None))\n",
    "    q_pred = q_model.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "    # KDE plots\n",
    "    q_pred_ξ_sample = K.eval(codecs.Gaussian(q_pred).stochastic_value(100))\n",
    "    for i in range(l):\n",
    "        x = q_pred_ξ_sample[i * k:(i + 1) * k, :, 0].flatten()\n",
    "        y = q_pred_ξ_sample[i * k:(i + 1) * k, :, 1].flatten()\n",
    "        sb.kdeplot(x, y, cmap=sb.light_palette(palette[i], as_cmap=True),\n",
    "                   shade=True, shade_lowest=False, ax=ax1)\n",
    "    ax1.set_title(r'$\\xi$ density for each community (flat nodes+sampling)')\n",
    "    \n",
    "    # μ plots\n",
    "    q_pred_μ = q_pred[:, :2].T\n",
    "    ax2.scatter(q_pred_μ[0], q_pred_μ[1], s=250, c=palette[communities])\n",
    "    for i, (x, y) in enumerate(q_pred_μ.T):\n",
    "        ax2.text(x, y, str(i), ha='center', va='center', color='white')\n",
    "    ax2.set_title(r'$\\mu = \\left<\\xi\\right>$ for each node')\n",
    "    \n",
    "    # Box representing the μ plots in the KDE plots\n",
    "    ax1.hlines(ax2.get_ylim(), *ax2.get_xlim(), colors='lightgrey')\n",
    "    ax1.vlines(ax2.get_xlim(), *ax2.get_ylim(), colors='lightgrey')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAADsAAAD8CAYAAADJyNy/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAABnpJREFUeJztnW2IXOUZhq/bzdoobYmaVFOzNCnEooJGCMGPP2IrDWkx/VEhUsQfgkgVIhY0KgiW/lAQ7c8iaptCabRWWgkpi7WKCDaaavyIqXENfiyGxu8YBCV698d5d51MzrpnM3OSnWefC4aZ951nZp4rZ87ZQ7jnPbLNXOGYo93AkSRlo5KyUUnZqKRsUyStlvSqpDFJG/rVVFvocM+gJA0Bu4CLgXHgWeAy269M9ZqFJw556cjw5HjXi8cfUnPaWZ8eNK6r6eYTPnzP9qLp6uZN+05TswoYs70bQNImYC0wpezSkWGeGR2ZHP/4uysOqRkd3X7QuK6mm3/6oTebNNzL1/hU4O2O8XiZm7X0IquauUP2CUlXSdomadu773/Rw8f1Ti+y48BIx3gJ8E53ke17bK+0vXLRSUM9fFzv9CL7LLBc0jJJxwLrgEf601Y7HPYByvYBSdcCo8AQcL/tHX3rrAV6ORpjewuwpU+9tE6eQUUlZaOSslFJ2aikbFRSNiopG5WUjUrKRiVlo5KyUUnZqKRsVFI2KikblZSNSspGZVpZSfdL2ivp5Y65EyU9Kum1cn9Cu232hyZb9g/A6q65DcBjtpcDj5XxrGdaWdtPAh90Ta8FNpbHG4Gf9bmvVjjcffZk23sAyv13+tdSe7R+gIoQ5/ufpMUA5X7vVIUR4nyPAFeUx1cAf+9PO+3S5E/Pn4GngR9IGpd0JXA7cLGk16jC1be322Z/mDbOZ/uyKZ76YZ97aZ08g4pKykYlZaOSslFJ2aikbFRSNiopG5WUjUrKRiVlo5KyUUnZqKRsVFI2KikblZSNSsp2ImlE0uOSdkraIWl9mR+4/GKTLXsA+JXt04FzgWskncEA5hebZBf32H6uPP4E2Em1Ct/A5RdntM9KWgqcA2xlAPOLjWUlfRP4K3Cd7X0zeN1gZRclDVOJ/sn2w2W6UX5xoLKLkgTcB+y0fVfHUwOXX2yyOt8FwOXAS5ImFjK9mSqv+GDJMr4FXNpOi/2jSXbxKeqXCoUByy/mGVRUUjYqKRuVlI1KykYlZaOSslHpabX5NmhyrY/Rdw6+PsjQ4mbvPae2bMpGJWWjkrJRSdmopGxUUjYqKRuVlI1KykalSYBkvqRnJL1Q4ny3lfllkraWON8D5XqWs5omW/Yz4CLbZwMrgNWSzgXuAO4ucb4PgSvba7M/NInz2fb+MhwuNwMXAQ+V+ThxPklDJRa0F3gUeB34yPaBUjLrryoMDWVtf2F7BdUFdVcBp9eV1b124OJ8E9j+CHiCKoq7QNLEf7LXXlW4vGag4nyLJC0oj48DfkQVw30c+HkpCxPnWwxsLNd1PwZ40PZmSa8AmyT9BnieKt84q2kS53uRKmPcPb+bav8dGPIMKiopG5WUjUrKRiVlo5KyUUnZqKRsVFI2KikblZSNSspGJWWjkrJRSdmopGxUUjYqKVtHCX49L2lzGYfMLk6wnioSNEG87CKApCXAT4B7y1hEzS4CvwVuAL4s45NomF0cqDifpJ8Ce23/p3O6prQ2uzib4nxNF6y7RNIaYD7wbaotvUDSvLJ1p8wuziaa5I1vsr3E9lJgHfAv279gALOLvfydvRG4XtIY1T48+NnFTmw/QRXBzezibCdlo5KyUUnZqKRsVFI2KikblZSNSspGJWWjkrJRSdmopGxUUjYqKRuVlI1KykYlZaMyp2Rl12a12vkw6V3gTWAh8F7DlzWp/Z7tRdN+/pGUnfxQaZvtlf2unY459TVO2SPAPS3Vfi1HZZ89WuTXuF9IWi3pVUljkjbUPP+N8vuCNyTtK3U7JK2vqb1Q0seStpfbrTNuyHYrN2CIarXc7wPHAi8AZ3TV/BL4HdWqnRuAB4BvAbtqai8ENvfSU5tbdhUwZnu37c+BTcDarpq1wEbbe4A7qS64vZ/qhxd9X0K4TdlTgbc7xnW/I5isKYn0j6lWxz4H2FrznueV5cL/IenMmTbU5nXxmvyOoLtGwO+B62zv63ruOarTwv0lwv83YPlMGmpzy44DIx3jut8RTNZIml9q/mj74e43s71vYrlw21uAYUkLZ9RRiweoecBuYBlfHaDO7Kq5huoAJeBJYNfXvN8pfHVesAp4a2LcuKe2ZEtTa6iOrK8Dt5S5XwOXlMfzgb+ULWzgv8D2clsDXA1cXWqvBXaUf7R/A+fPtJ88g4pKykYlZaOSslGZU7L/BzBYbi1BD6noAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "l = 5\n",
    "k = 10\n",
    "p_in = .4\n",
    "p_out = .01\n",
    "g = nx.planted_partition_graph(l, k, p_in, p_out)\n",
    "\n",
    "# Show the graph\n",
    "labels = np.zeros((l * k, l), dtype=np.float32)\n",
    "ids1 = np.random.choice(range(l), 2)\n",
    "ids2 = np.random.choice(range(l), 2)\n",
    "labels[list(zip(*itertools.product(range(int(k * 2.5)), ids1)))] = 1\n",
    "labels[list(zip(*itertools.product(range(int(k * 2.5), l * k), ids2)))] = 1\n",
    "\n",
    "plt.imshow(labels)\n",
    "features = labels# + np.abs(np.random.normal(loc=0.0, scale=1.5, size=(l * k, l))).astype(np.float32)\n",
    "viz.draw_network(g, labels=features);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian codec\n",
    "\n",
    "## Build the VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# VAE Parameters\n",
    "n_nodes = l * k\n",
    "adj = nx.adjacency_matrix(g).astype(np.float32)\n",
    "\n",
    "n_ξ_samples = 5\n",
    "dim_data, dim_l1, dim_ξ = l, 10, 2\n",
    "dims = (dim_data, dim_l1, dim_ξ)\n",
    "use_bias = False\n",
    "\n",
    "\n",
    "# Actual VAE\n",
    "q_model, q_codecs = ae.build_q(dims, use_bias=use_bias)\n",
    "p_builder = ae.build_p_builder(dims, use_bias=use_bias)\n",
    "vae, vae_codecs = ae.build_vae(\n",
    "    (q_model, q_codecs),\n",
    "    p_builder,\n",
    "    n_ξ_samples,\n",
    "    [\n",
    "        1.0,  # q loss\n",
    "        1.0,  # p adj loss\n",
    "        1.0,  # p v loss\n",
    "    ],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
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    "display(SVG(model_to_dot(vae, rankdir='LR').create(prog='dot', format='svg')))"
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   "source": [
    "## Target function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def target_func(batch_adj, required_nodes, final_nodes):\n",
    "    return [\n",
    "        np.zeros(1), # ignored\n",
    "        utils.expand_dims_tile(utils.expand_dims_tile(batch_adj + np.eye(batch_adj.shape[0]), 0, n_ξ_samples), 0, 1),\n",
    "        utils.expand_dims_tile(features[final_nodes], 1, n_ξ_samples),\n",
    "    ]"
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   "metadata": {},
   "source": [
    "## Before training\n",
    "\n",
    "$\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred, v_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1:3]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0]).mean(axis=0))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb7a034dfd0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(v_pred[:, :, :5].mean(axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb7a031b2e8>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Train**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 500#5000\n",
    "seeds_per_batch = 1\n",
    "max_walk_length = 30\n",
    "p = 1\n",
    "q = 1\n",
    "neighbour_samples = None\n",
    "\n",
    "steps_per_epoch = int(np.ceil(len(features) / seeds_per_batch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n",
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n",
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n"
     ]
    }
   ],
   "source": [
    "history = vae.fit_generator_feed(batching.batches(vae, adj, labels, target_func,\n",
    "                                                  seeds_per_batch, max_walk_length,\n",
    "                                                  p=p, q=q, neighbour_samples=neighbour_samples),\n",
    "                                 steps_per_epoch=steps_per_epoch,\n",
    "                                 epochs=n_epochs,\n",
    "                                 check_array_lengths=False,\n",
    "                                 shuffle=False,\n",
    "                                 verbose=0,\n",
    "                                 callbacks=[\n",
    "                                     #keras.callbacks.TensorBoard(),\n",
    "                                     #TQDMCallback(),\n",
    "                                 ])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usually, the cell above complains with \"UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\". See these for more details:\n",
    "* https://stackoverflow.com/questions/35892412/tensorflow-dense-gradient-explanation#35896823\n",
    "* https://stackoverflow.com/questions/39111373/tensorflow-chaining-tf-gather-produces-indexedslices-warning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lCFmOLHtxEftPfwKRIeB+ALcR0Q3MfHerBmcYvUjoTxztxOSIYSyP0OXISnYuLkAUce1BACCi6xDp5KsKhQz1cRbO1fqsJ8+den3fnQMrGErj+H22s1+j+6n2ec1hFgXON/wtZxDKve+o1ShNy5Hk8CCn1o+5N3xLgbK6DakaZgT6qU9XTXD1Mi3Ua3RDKvwe+1JXm/InVEN+N7oP/Ynzrl33WevjxrqMXEdUlJ2wSspOlcbKACAlRa+gon6JkoVacy8pDroxplR4q0RJnlzOVP+a6vGWsu51eka2w0nVjndIFVVXVS0OuzfSXo7e/OwEivnZnpEjK1lcbId0kdyPyNWpKlkM4kJ67qnjPXtcePgXbluUh2ZV8PtsZ79G91Pt8/oT/l7TbYW8ndlmmpYjqfVj2PInb3VvVLwflyn5C1dar1LgeHWpqASz+nHhjP/LKe8XldT9q+Hvl5mU/RTGXeXknCwrjahVAfk/svoHTf6IJWbdtfcdV+0OVl+0lLOyrNLnxtd/QP5EFMbkhSbnXUO6D78MADb+3J3LCVmWH5XHQwfcPJBaICRU4IZDTz+VHxJj98vx9R8piOPp05xnfkUthvqm5LkT57gKW26VgTaLI3Jeymk3/syMvIeVlLy2/c91x9s8K5I7v/txNEvIcmQli4ulrmrx+p7oSsQJXrKwXQLDYBAK+jFv7dK0HEmOVwvkaBhrh9DlyEoWF/shQ+LuQBS8ScDMVwG4CgDOf0qWqz397TnQ+I6Crqupda7tVBjLpVWfnSj4TbjbmW2maTnSd/oO9ncgtp9x7NTrQ3dtkieqad641aXeObpfLlKSQyXZp/cgW5lOi7K+zXKPPzflnogTGfnkmu9TYtZbTlXUDkhiXg64kq2xJaKeWiujbvzzw2qnpSDbpVpaPG/nQu9qlPvleKjoftx4XO4SlJPy3PQP3TyUBuR4krnq6pfMlLwvlZQ811cz5dfJdgYfk+OVahLVp/qs+O0mc/KeTp+WEcfZE/6HRbaTKCo1yZCrkPJ2d7Q6pR6hy5GVLC5uA7CbiM4A8BiiyJCvbsmoDKPHCdkQq82YHDGMZRKyHFn24oKZS0T0FkRhcZMAPsfMd7VsZIbRozATyous6NYmJkcMY3mELkdWFOeCmW/E0ul3l+S+OweqqkLqbTk3U9cwQqcS8BNHu2lWjqBMwnDTV4Vkz5Bx3vL3jYjjkwdcuORkv9q2PyhVH0XPQDGt7CyL84PiOF3wPACm5JZ5aUh7Gnhlg3oPXR5mjnuVtT2nUqnktznj1eRJqYsvj0rVQmLUXVDy4awoKybcz0JRGXCSUsWU1nkTU9AWknLSTu5y8zv9ONlu33Ft4OnGkNpU266g7N3H/Jhs58CzpJ2fuKczsu78FqVKKrsxHv+1flGmDVKPb3djzB5TahvlWZLIzJ96PXG2a7d0W/MyIWQ5YhE6DaPNRIZY9tUzDGP5hC5Hwh2ZYfQooRtiGYYRPqHLEVtcGEYHKAfsn24YRncQshzp6OKiGduJWm6rraprGO0g9Mh6wZNiGRzLm0ptYzH6pOPieOKEs5XgSWkbkdsi7RLSoy7cYykvRSUr+4Kyb/9Asiyldfs73djTE7Ld0jYVrGnY77P2ZyYx7drSev9iXtqTJAru2nO7ZJ++i+vQPWqO1kv7kcxJVze3SdlRPCL73Hybs4fZcJcKzjUs6w48OnXqNc3J8WmXzdIl21wfP50VZenHJuT4H+/scyppOUd935sXx0ee7iZ/67cfE2WVEWnLUR50rsipKRkmlJXr7Mlz3Gd02w/cdT46rcOq1iZ0OWI7F4bRASoBW3kbhtEdhCxHbHFhGG0mSjgUrlAwDCN8QpcjtrgwjDbDIBQDDttrGEb4hC5HgllcNBP+W5fpc2vFxKhng2EYqw0zgg5+0xV44b/9kN5+HAtA2lgAwGlbnA7+kYmtoowGZJKzUs7ZAbCKKZEclHXLc15siM0qcVVa2hP4mVoXZS9VYcbhhySvKOM9FV6b17vw2/MsbSUSBRXDwfv40ZyyJ0lUHx+rLLPsJeXSH+nCqLTBKA25ayv3qQRz/Tp+hov/kOyTc1LJ6HPd6+ldMh7Fury0wcmNu2vVsSo4Ic+teMnIymPDoiy/WeXJYjcviYK03SkPZFRd97I44mw1ONmcTAhdjgSzuDCMtQMFHfzGMIxuIGw5YosLw2gzjLCfOAzDCJ/Q5UhHFxfNqC+W6zLaqnYMo5WEbIgVPEygops/P7upDumt3U19VcjQ6SdF2fSEVKGI7JZKJVE50SeOye9WJbdMzslzy0PuuDgiVQc8IPUQ4kylmtFjSh5TKpWqDUmVRXJafhZLG53KZ3aHHF9lUI4v58039yt1UEJORH7MU4uklXvuejmGlKeSShSV2mbRtXgqib06i6uck/kNrp+UTGwLqsgxzG9ybeW2STVIKauy13rXM7tVqmIGD0oVWnqjc3ktjrjQ68sxnwhZjtjOhWG0GQahEnDwG8Mwwid0OWKLC8NoMwygGHBOAMMwwid0ORLuyAyjZyGUAzbEMgyjGwhbjnTN4qKWC6m5m9bHbE/CgRF2ZL3giTI2nSLpuWvqtOk6pLfvbqptLJIqRbjvXqrtGzijUpHn3f1kZZdQVm6gvtFAak6F6c4qGwyq/uOhU65X0p69gU7PrlxK01O+3Ye0U6CcU/5rF9ZEQf1keMUlZWPByvbE/8gnC6pQT1Fi6dcAUMmoMXm3uNSv0p2rEN9JPzK3NmFJyTfS0+5Yz5+uS2XffVfZ2Cj7jMKU534q3GGbWyiELke6ZnFhGL1EyE8chmF0ByHLkXCXPYbRozATKpxo6K8eRHQxEd1LRHuJ6D1LlJ9GRDcT0c+J6E4ievGqXJRhGG0ldDliOxeG0WYiQ6yVh+0loiSATwB4PoD9AG4johuY+W6v2p8C+Cozf5KIngjgRgC7Vty5YRgdJXQ5EmzK9WbsKJqxJ6hVt5ftEmrNZy9dZ3dArQp+cwGAvcz8IAAQ0XUALgXgCwUGsOB4vw7AgVZ03FESLGwe2DNTKA5KXb6fNh2QIb0hzRukjQWA/jEXj2B+Wsa1WGSDkXaNpY5Iu49UTungB1XHPiqkN3w7BmV/oWqCvHgQfcdV7IohZQ9R4zeJU2586RlZsTis7DP8Qx2dXNmTpOad4cIi+4ZZlcp9yhlSUFHZt6gLT824GBT9x2VMieSsOvZSzet2Bo7IunObvTTqs8p2R6V9L2e8+Bk5aaCRmlWxS7yPR3rGs9Wo6Dtaj7DliO1cGEabiQyxGtaVbiCi273jq5j5qvj1dgD7vLL9AC5U538QwD8T0R8CGATwvKYHbBhGcIQuR2xxYRgdoInIeseY+fwqZUtJFv34czmAa5j5fxHRbwD4AhE9iZlrPD4bhtENhCxHgl1cNKO+aIZmVDHN0G0qldDH18u0MLLefgA7veMdWLxd+UYAFwMAM/+YiLIANgA40ooBdASGcOeseJlE08plsJRXoaOLvo+jalepOnxVSN9gQZQVDumsmN54srLhxJRsNzXi2ioVlbpFuZeS55rKeamioH65Vc8ZLxS3Unsk8qpdPzPnuNq2L7k5WpS1Vc1ZyQv/nZxVbp8q7Llwu9Susuonyq+rvyk6o2rFm0JfPQEszjRa9txYtUahNKAmze9Y+dUuyqjqnZooyroVPSbvo1Tuqz4n9Qhdjpi3iGF0gAoSDf3V4TYAu4noDCLKAHgVgBtUnUcBPBcAiOgcAFkAR1t8OYZhdICQ5UiwOxeG0aswA8XKytf1zFwiorcA2AMgCeBzzHwXEX0IwO3MfAOAdwD4DBH9V0TPna9n1uGNDMPoNkKXI7a4MIw2E21ntmbTkJlvROQW5r/3fu/13QCe2ZLODMMIhtDlSFsXF2c9eQ579izPBbIZ18lOuFl2woah2+w8DEfIkfXCh0To677NLnd2cV6G9OaC1KMnB527oU6brkN6+zYY2sYivXleHBdOeiGd1fNcfkyF6T7m1e2rbVfLs56I1nWnVYp1r5vcrrwoSh2WqedLI86YIpFT6cO9tO9zO5XrqU7z7rmbltYpG5BN8rj8SzeGwpDqU/0SFda5N1Kzyr5BubGWPVsT3W5mQNnc+B8H9RUsZeUbRe+WlwZlO7kxZf/i3ZpESs+Z7AeVpW1jlmM+EbIcsZ0Lw2gzTbqQGYZhLCJ0OWKLC8NoO63bzjQMY60SthypOzIi+hwRHSGif/feGyeim4jo/vj/2OoO0zB6iwqoob9eweSIYbSekOVIIzsX1wD4WwCf9957D4DvMfOH4yQn7wHw7noN3XfnQMN2ASuxH1gt24Nm4mu0w/7BbCy6k8jKe+U5AbqMa9AiOaJTrue8FNZplSK8rOJG+CG+dfhnP206IEN6a4W4b2MBAAkv5kTiYFa2o2W794af3nwpuN/ZP9C8rMuJ6sb6NFNbtKemXFs6Loc/D+lJlS58qwyRXfbSi1NB2VFUpE2IH2NC2yHoY9/+IanCp+s09P59LMupR6lfzZl3WEnrlPXatsO99m1AdDuAjJlRHFB2Hyq0ORLuYssZryFqbhEQuhypu3PBzD8AMKHevhTAtfHrawFc1uJxGUbPshD8ppG/XsHkiGG0ltDlyHJtLjYz80EAYOaDRLSpWkUiuhLAlQCQxUC1aoaxpugllccKWJYcSY6Ntml4hhE2IcuRVTfojJOjXAUAIzTeluA9a8UV1ehOQrfyDhFfjvSdJv0jExmnOkhPSZdLkMrqudmLZ62kEQ+qbJZedlOtOtDupr4q5OwLHhZld/1qJ6pBZbXFX1THs278rFwcoY7TE06cV1RZuV8e9x92m9bzA1InwV5mVla/EKnjUtXhhwevqKnXST4Tnmdqal72Ob1TuQwX3MnlPrnBrrOHJjxVWF5Z7fSdlOf2H3P9avVFYUjOfcKP+K5ueH6dHG//cdduSWkqtJtt/6NuDvMjrt1mNRyhy5HlLi4OE9HW+GljK7o5T4FhdICQrbzbiMkRw1gBIcuR5Y7sBgBXxK+vAPDN1gzHMHofZkKJEw399TgmRwxjmYQuR+ruXBDR3wO4CFE++P0APgDgwwC+SkRvRJTQ5OWrOUjD6DVC3s5cDUyOGEbrCVmO1F1cMPPlVYqe2+KxtIzVsn9oVbutCtvdrvDfnbBh6WVC15WuBq2UI1QGMp6LZL7PibHSkNSNp2a0u6HTd+uU4GXlxpryXCB12nQd0tu/ndrGggZkGOzMQ84+ozQkbQ8yE9WfMrW7ZiUjlfSlQc9OYVz2CRXiu+jZFyTUdZMX0lvbamj31+S8q1vpU3VVOPWj53luwBV9X+S5c9s8t1Vll5Io6nvh+smlZZ+5cTlHaS8tfHFYp0bXJoHu+PB69VkZlPM7d9z1U9ggbXeSMyoVfc61e3K316b0bq5L6HLEInQaRgcIWSgYhtEdhCxHbHFhGG1mwT/dMAxjuYQuR2xxYRgdIGT/dMMwuoOQ5ciaX1zUCuldy76gnr1DLTuFVtktNNNnK/sxVgYzUKr0vCfIqsEpoDDu6dY9+arDMs/vlOGq/dgQZRXXQMfpLg+6PlIjBVHmp01f6lwf38YCAOiJ066PKdlOLqVE8pjX70mVYn2dvDb2Qn5nDsq6enh+zIniZmk/4Ickzx6UE5rbKG0aShvdGBJTcuzJE/J4y63OFkGH2s6PyO/D8H7XbjIvbRiKKv35oWe445EH5XhH758Xx4ef7gI59h2XYxg4Kq9tapdra9MdMoV9YVTdJ3bnJvPaTkW2++hL3Oud3/HGpsOE1yF0ObLmFxeG0QlC3s40DKM7CFmO2OLCMNpM6LpSwzDCJ3Q5YouLJqildmgmY2oz7TZDJ9QX7XKHbYZm5rNTbrYcsFAIngqQ9NwlK17m09Kg3IL2Q2IDMlx1cUTWTc1V32IuFaX6gvvkub4qQbtOandTXxXy62c9LMru/OFuWbfsxdRWH5mKyqjqu4UWd8ht/ORBOf78Nk+lorKZctZNUu4sqXrJDkj1UDbjyk/wsOxzszx35mGnktCuvBoSGVVrq3gK6938zhTknKTmpUpq+gxffaHUYFmlAlrv1BTHnqLuvxpDZtrVza1X7q8zsi4qTg01t8HLTptqXiaELEdscWEYHSBkQyyQpr+eAAAgAElEQVTDMLqDkOWILS4Mo80wh60rNQwjfEKXI7a4MIy2QygHbOVtGEY3ELYc6fnFRTM2AfV07n55M66o9QjBTmG5hDj2ZsbUqfGHrCsNngSjNOLsAhKerYFOxVjaJm0PMO309zygXByVHYVIaV5q/H7ptOk6pLfvbqptLDJnT4nj2ZPSZkAwr3N7u36z98vzCmPKRsQ/V6eeT3rjn5F51MuPStuDeW9eaFzOZ2lOuYU+6GwwdBr13JisO/SYs+1IKFdUJOX8zm3pP/V68x3SJiQ9Ke8/8eCp16k52S6V5URMltxnZePP5kQZp+T4S4Nu/EOPyeGm5mU/Uxe6fkYedmXahbURQpYjPb+4MIzQCD0ngGEY4RO6HLHFhWG0G470pYZhGMsmcDliiwvD6AAhW3kbhtEdhCxHen5x0YwdRT1q2VHUssFYK/YXRmNw4IZYwUMAyD2yVbLOniBzXOruizL0AjDkYgxoscwJHSPb9UFZabPAs1J0cr/TndOssoXQeCG9RRwLLLaxGBlzuv6po0OiLKnCf1eK7jOVmtcpzdXnzZu//BaVnt2j/5A8b36Hsn/wp0WlUe9Ttiap6dyp135MDgAoZ+S56UlXNzGnQq8PyDlL5ZzNhY4VkZyQQSaK57g51PFIBg6pftLO5iJ9fFaOd12/OPbtNVJTOVHGafl5qHjjTXt1qdJk+O/A5UjPLy4MI0RC3s40DKM7CFmO2OLCMDpAyFbehmF0ByHLEVtcNMFyVSitDBVudD/MYQuF4GFUz0KqE52q0NZi676eeym5cs4rVYcO/+25dnJKPk6S8nAV2U3rDMFXhVCfVEmUlWom5YWz1uqghNJ8+OWJGbVt76mAiiPyWpLTcj4TnmamrLxmi8Mqg6qXzbSSUWqRPhWKu9+fI1mm1Vclr1/tTspDUn2RnnNjYvXRYKVS8e+bVsVUlKqj3O8f13AfBpCYdnVLQ67dRWq5OoQuR2xxYRgdIGQXMsMwuoOQ5YgtLgyjA4SsKzUMozsIWY7Y4sIw2gyDUAnYytswjPAJXY7Y4qIGrUonHmJacqOzBPzAET7KFdW3v6B6dhRJ7zzlOqnP9e8R9SujhWmVBtxzW4WyuahklL2G50Kq06brkN6+u6m2sciOSZfH4rQX2npGXou2nUhPufJF7qXe3GaPyXZmdqkQ3961JpXtRnpK2VV4dgna3qHYr1xn+7y2tM2FCv/tfxQK6+QcpafkfZrb6NpNzcs5yUzJ8Se8yOHlIWlzURxQrsjLSJcOAJW0d94ymghZjoS77DGMXiU2xGrkrx5EdDER3UtEe4noPVXqvIKI7iaiu4joyy2/HsMw2k/gcsR2LgyjE7TgkYOIkgA+AeD5APYDuI2IbmDmu706uwG8F8AzmfkEEW1aec+GYQRBwHLEdi4MowO06InjAgB7mflBZi4AuA7AparOmwF8gplPRP3ykZZfjGEYHSFkOWI7FzWoZRthdhTGcmEAlUrDCtYNRHS7d3wVM18Vv94OYJ9Xth/Aher8swCAiH4EIAngg8z8naYHHRJlQsILsV0ZdfYQ+W0yJHZiWunG17sQz8ljUh9fSav4FEV3LmfUI2KN25eekH2WBlXshRlXrsNgazsQEdI7r+woPBsLAEjucKHCZ9ZJGwFScTrYM1RI5FTsipzrJ7dBXbe2Uym444oKkZ4bk/YZ04fdfOfHVbhvGaUbJ89w40/KrOmL4mnkx90YJxPyWmY3yzkqjHivR5U9yelyzvxdgRO7Zac6XHnFy0Tfd4JVXdksNjpbmaldrt3yHU3GuUDYcsQWF4bRbmoFgVrMMWY+v0rZUo3ojdIUgN0ALgKwA8C/EtGTmHmy0QEYhhEggcuRumoRItpJRDcT0T2xIcfb4vfHiegmIro//j9Wry3DMCKYG/urw34AO73jHQAOLFHnm8xcZOaHANyLSEi0FZMjhtF6QpYjjexclAC8g5l/RkTDAO4gopsAvB7A95j5w7F16XsAvLuB9nqCVmZbbRW1woqbiicwWuNDdhuA3UR0BoDHALwKwKtVnW8AuBzANUS0AdH25oMt6b05WiZHqAz0HXfPRfPD7sEreVJu/2ePqayerPeo/Yblod8HK4/R3C65V0+eqqOiXFHL49KNNXPQqQeKO2Q72fvl9ruf3VSH9Nbupr4q5Fnn3ifKfvTjJ8qT1zv1UfJknygqZ70Mn9vmRBnmpSoJU57qSIVEP+dM+fv0yAO7Tr0uKNdYHf4747l2JqSmC2UZ0Rt0mtOpFKBURUqV5N9jPQYdpr3i/TrObVUqqSF5bt+EKz/6m/J+Dzyk1G8F92EqDnoh5pdjARmwHKl7Ocx8kJl/Fr+eBnAPIh3NpQCujatdC+Cyhi/FMNY0jRlh1TPEYuYSgLcA2IPoe/lVZr6LiD5ERJfE1fYAOE5EdwO4GcAfM/PxVby4amM1OWIYLSVsOdKUzQUR7QJwHoCfANjMzAfjwR00FzfDaIIWRb9h5hsB3Kjee7/3mgG8Pf4LApMjhtEiApYjDS8uiGgIwD8A+CNmniJqzJCEiK4EcCUAZDHQaHeG0bswwI1befcUrZAjqREzyzCM0OVIQ4sLIkojEghfYuZ/jN8+TERb46eNrQCW9HuN3V2uAoARGm/ROmvtUiuVu08zdhNmY9EJwhUKq0Wr5Eh2x0723TvJS6teHpX67mJe6rsTnuukvgWkomCXPL16QunuU4er226U+5WYU66e/i518qC0dyiMScV/Je3OXZQ2XdsMeO6m2sYisUWGCi8fd/2WBlRadc/Oo3RAPhAmdKRw78etpGxNfrVvizge8dxNdXrxSg1TmERRhemeluW5h52dReZk9bTpAJCa99qZknXnN8p+Up6tR3pKtuPPEQBUvI/ZwMPyM5dSZisoVrflaZ5w5Ugj3iIE4GoA9zDzR7yiGwBcEb++AsA3Wz88w+hRuMG/HsHkiGGsAgHLkUZ2Lp4J4HUA/o2IFh6b3wfgwwC+SkRvBPAogJevzhANowfpoYVDg5gcMYxWE7Acqbu4YOYfovrey3NbOxzDWAM0F/ymJzA5YhgtJnA5YhE6A6eZGBStSgnfqnaN6jQQ2MaohW864dlDJEalUUCioMJge4rgwqhUyKeVDt7Xh5O6X6UR2U/KS9fdf1hqm4tDsl3fdkKHKyeVct3vWMe5WDRef5DrZbu+jQUADO5whgvFO0dFWWHcXVtq47woK84p44i8d60ZOZ/rx2VM7/kBF8Njfqc0IOk7osKTezYZpUF5nYV1cgilEddWWoV716G357e4MabmqttNAEC536+rw6frup4N0KIQ7rIu9bvxUnllP8EhyxFbXBhGJwjYytswjC4hYDliiwvD6AD6SdgwDKNZQpYja25x0YyaIYSw2M30WctNNYRrMWJ6zBOk3XBChqj2ST4sw2cvCtM952UknVbqi5HqN6U4rtQtyr200ufO9bfeAeX+CqC42VMJFJTDnhpCfourm5iRW/PzO6qPSYf01u6mviqkcrZKSXrMi6/9sAynneiT7VDJXRuV5fim928Qx2P73LwMHJJ1i0r10T/h6iYLsk/tmlruc/c0e1yWDe+XczRzwvWrf5i1K/LcZld35CF5T3W4cv++Eau6aVk3d8jdm/5jnruzcjWuS+ByZM0tLgyj81DQhliGYXQDYcsRW1wYRicI+InDMIwuIWA5YosLw+gElfpVDMMwahKwHFlzi4uVhMVuNPT2SmjGLXQlbqrtuJZ6hDCGjhC4f3rwEKPip/f2XpdIiTQ1z5xwj3qljcoNNKfcDVOuXSopG4sBqaCnvB/SWdklzMlz/X44K9vhZPXPRSWrfkmU0UAi587VNik6XLXvbipsLAAkxgqnXpfK0naDh6RhQHLSzXdpTJaV88qt9ldeevE6Ya8TpRqP5KrIdwNNq1DbyZya34Rnc7EolLk8Lq7z29W/4urz4Lmx6hTx2makNOY6TpS8iWh2FyJwObLmFheGEQIhW3kbhtEdhCxHbHFhGJ0gYKFgGEaXELAcscVFE4TmirpcN1V9bqfcVNeUKsRoGVQk9B9wostXARRVVtGhe1SETm8rfHZHbZfR9Ez1LfS5nVKqpyc9tYiSqjpLavagazd3ltpDn5Hj7T/k2tWustljysVxgytPbZP6AZ3dVETeVO6mvipk8DSZDnTm8JA4Lg97E6O26Ed3TorjY+eNuz7GlUpKRcCc2149c2hFZV+tbHBqnMmSnL+TZ6qss546SN/vitaoeRFH9z1fZcWdq66OSDxOuvaWHpFzBs99d3K3l9H3+1Wb7EpscWEYHSDk7UzDMLqDkOWILS4Mo90wgg7baxhGFxC4HLHFhWF0goCfOAzD6BICliM9sbjopdDWIdhR9NJ8hkrI25mhw0mg4NlW+NkrSen9c+vlRLOnr68M6gyqUhwWh71zdaho9cRY2OpsCFLHZXpN3/0VAHIb3XizAwVRVn5U2gj4Ib51uPKZXcoQxB/TvBxDQlX1s5vqkN6+u6m2sdi+65g4PnDYhRFnNSczszIU+8ABV15Q2VVJmZ6kct7YtWtnTh6f8MJ/a3uX4b3y2iYH3BxqO5rshBz//JluHrIH5Hh1OPU+79zyjExfO6DcY6fPdfc/7ZlnaFfYRghZjvTE4sIwuo6AhYJhGF1CwHLEFheG0QkCFgqGYXQJAcsRW1wYRpshDns70zCM8AldjvTE4iLE0NbtYK1ed08QsJV36FBFhrOmoguEUFonFemZkyr8d8od5/q1IYU69IpLqm5ShfQul/3U47Kd5Lys64cdz2akQcF8SQ3C08Nr24OSivdAftyGKSnatY0IvHDlpPr0Q3qLOBaQNhYA8ITTDp16/at9W+T48nIMfohsHasioSa/7F03q6z0+dHq6c51TIyCqpvY6YwcilPSvgUqdHxiculYKsDie+H3uyguhzTXAKU9G6GV5gYJWI70xOLCMLqNkJ84DMPoDkKWI7a4MIxOELBQMAyjSwhYjvTk4qKbVQL13EBrZU2t5Ypai26er64kcF1p6HASKA26CeRxz52zIPekc5vkvrO/xc79csu/lKiuJknOKtXGOpkBlAquXG+DV5SrZ8JTWZxg6bZI49XdS8vSsxPJGXmtftZU7pPXrVUo8EJbU1m2I7Kb6qyyahveV4X0D+ZFWVG59iaKTg2RUKqYhDwVKc99U7uX9smo4iiuc231HddhutXc3+tca/ulFzDKyr20NOzmqP8hOYiyTCQrVGEVpRZJT8tjf56o5G5q0zIhcDnSk4sLwwiegIWCYRhdQsByxBYXhtEBVmzIZRjGmidkOZKoX8UwDMMwDKNxbOciMFpl/9CMrYbRAQLezgwd7YpaTnqT2SdtFvoekWGwC6PuUa+ibCxY3RPf3TSpUmzzJmlzUfH8LCuqHT91NwAkTzixm9wsfRpLKvV434SXcn1YtpOeks+GuTF37eeceUCUaTfR9ePOJXN6/wZRVs67Mei06Tqkt+9uqm0snv24veL41p8/5dTrvLItSebktSSKbr6Tyh5Du6byZlehNCONIZIqrXrZcynWLqP6OOGNKbdR3tSy8mJN5lw/xRF5n1LKFTmZ9GxjfBsgLIOA5YgtLgyj3QRuiGUYRhcQuByxxYVhdIKAhYJhGF1CwHKkrs0FEWWJ6KdE9EsiuouI/ix+/wwi+gkR3U9EXyGiTL22DMOI4Qb/egSTI4axCgQsRxrZucgDeA4zzxBRGsAPiejbAN4O4KPMfB0RfQrAGwF8chXH2nZCTD2+3DG0a+y1QpC3Kg38al1Lu+43IWwr71WiZXIkNQds/LmXtvqHToyd3CVtLDbfJoMMlIZceX5Mp0ZX/cyXvTKlu/+lXAOVM648Ic0xcPQ8KWa33OranXl4QJSNPihtMFLTLr94aVDHWpBGAjOH3PU88sAuUTYyIw4xP+BsJ8b2qQ/jr9y1HDtvXBT5adMBGdLbj2MBSBsLACj8ujeInLqWdWp8O7z7m5b2Gdo2ho+4OczvlMErkk+aF8elo4PuQNnnkA7/PukuLnnulCgrzMhrrXh2PyPDss+5bfKzsunzI6deH/wdV7fyzeaEQuhypO7OBUcsfCrS8R8DeA6A6+P3rwVw2aqM0DB6DXZJh+r91YOILiaie4loLxG9p0a9lxERE9H5rbyURjE5YhgtJnA50pArKhEliegXAI4AuAnAAwAmmXlhjb4fwPYq515JRLcT0e1F5JeqYhhrjxZsZxJREsAnALwIwBMBXE5ET1yi3jCAtwL4ScvGvwxaJkfyM0tVMYy1R8BypCGDTmYuA3gqEY0C+DqAc5aqVuXcqwBcBQAjNN5VWuQQ1CChU8vFtRk1Q7267bgXbb3frfkmXABgLzM/CABEdB2ASwHcrer9OYC/AvDOlvS6TFolR4bGd7KvpigNuGek6cfJfeINd6nt9z6nSiinVTbQguy64mVQ1RlTC0Pyuczfnk7NV1SZViW44/yYUrf0KbfFeT+suCzTapzcetdWYUS52Sq1zvxOp7sZPKjCiHtTVhqXaprCXEbVdf3okN7a3dRXhWzYINVVRw9JvUjZmzMuy3YpqT4i3iHpEO6K1IhTm5RLcgIHh3PieMYL6V4syjnSYdATXqbT2Xk1RxXZz+xmd1ye8yZ7ORlOA5YjTQXRYuZJALcAeAaAUaJTOWp3ADhQ7TzDMCRNbGduWHhij/+u9JrZDmCfd7zoyZ+IzgOwk5m/tdrX1CgmRwyjNYQsR+ruXBDRRgBFZp4kon4AzwPwlwBuBvAyANcBuALANxvt1DDWPI0/cRxj5mr6zaUedU61TEQJAB8F8PpmhrYamBwxjFUgYDnSiFpkK4BrY71MAsBXmflbRHQ3gOuI6C8A/BzA1c10bBhrFm6Zlfd+ADu9Y/3kPwzgSQBuocgUfguAG4joEma+vSUjaByTI4bRSgKXI3UXF8x8J4Dzlnj/QUS6mjVJiG6q7WAlKeEbTRe/JmiNrvQ2ALuJ6AwAjwF4FYBXn+qC+SSAU7GdiegWAO/swMKipXKkkgLyo154aC/0sk65XRiW7qalflc+v15phdXzW3rW3SQtxCtKcvrl0zuVDUNa3uz8SHVtdG5Mnuu7uJb75ACLA/I47dm5VjLKzkNFD+k74vopDFXX9ZMKR07SBAMJb9J02nQd0tt3N9U2FpSWE+zbWWj7hkXHfjp59b3K5+X9L8/KY5+ZgnQLTk65a0+vl/YjpZxsp1JwdYfHpO3GyUnZbsLzlhXXvQyTi5DliCUuM4wO0AoXstjL4i0A9gC4B9FuwF1E9CEiumT1r8IwjE4Sshyx8N+G0Qla5DfFzDcCuFG99/4qdS9qTa+GYQRBwHLEFheG0W56LLS3YRgdIHA5YouLZbKWbASWG8tiJfYZvQwh7GyGoZMsMIYOeKG5PbOA/KgUaQOPyrDNpXUuJXcqVzv8d2aq5JUpW451sp9S1rMBUfEy5rbJc4f3O8MFqsgxDD0mw1enJ53+vtyv9Px90h7i5BnOsELE6FgC/3r6J6S9Q6Lkxj+3XU5KSpoToOzH95iTZX7adECG9C5ruwkVy2J4zDVWLMq59lOWA8D8cXfdA1tkgLV0UtpKnPDSySeUnYf+oS4PumvPZlRY9lE1Bi+2xbyy8+gbkOcOHnbXM93vfRbqxOjQhC5HbHFhGB0gZKFgGEZ3ELIcscWFYXSCgIWCYRhdQsByxBYXRl1qqTo0q5W9tB1ZUdtKwEIheBggb+veV1+kNinXyTnpH5nsc1vWCbXdrtUiVHRb31rJkJpVocNzvsuoCg2utvyTeX+rXm6hJ/JyGz8x5/st6rSdul3vPO0yWpQfuNJgdTWOD8vpXNSuP2esfk2SyjXVz26q1SDavdRXhawblFlGyyqctu8tm1Oht1ODSo8jOpWHmaxMZ5vzwpUXSvLi8toVld34U0q9wSyvzc+2SyvdeghYjtjiwjDaTYOZCg3DMKoSuByxxYVhdIKAhYJhGF1CwHLEFheG0QFaFLbXMIw1TMhyxBYXRl1q2TusJAx6M7YcvUbI25ndQKLsJrCSqh5omCoqjXrGKeiVKnxRyGz/Hi1Kd65cPdmzf9B9apfM4qATu3oMSKqw3QPOhkC7w7KqW856r/tFETIywzkKXvRtbY/hPw37KdUBIKlMGPww7H2Tqhl1W9hPja7SpmubC9/dVNtYnL5uQhxP8Pip19l+6cqbUm6ro+Ozp16XVLs6rTq8+5ZQX9hMn7TPKOTdPS2pdvSYyll3o4oF77OwDJkQshyxxYVhtJvAg98YhtEFBC5HbHFhGJ0gYKFgGEaXELAcscWFYbSZ0CPrGYYRPqHLEVtc9BCrFQuimbaWm1a9J2JXNIHWyxuNUxwkHHq6Z4vgSbFyv4rncMk2eezZIhRGlW2EVKMjNeNSZVf6ZFk5I8/1hXyiIO0H8mNS73/oGV78hPWybG6LNJZI5dxxKSuKFv2w5Me9FPGnyTDYuYcHxXFpxF1suU/+DPhzWNkg7QVOqLr+k3NxnbIJ2SwDXfARL/W4NvNQaen9kN4q67uwsQAA2uj6mTk4JNuZl3YVlazrh1U8CirquCHu3KkJOX9Q6eQTBXec2T4rymYflunlZ17o+k0c9j5YxeaTlIcsR2xxYRjtJnBdqWEYXUDgcsQWF4bRAULezjQMozsIWY7Y4qKHaIdqYSWup82cu5J+uoKAhULopHLA2P1OnZD3tuPzY3Jre/NP5Rb19C6nZkjsVSqUrNyW7p9wsa7LyhW1MCSPfTfQ/Jgcb05l3xx50O3zzxTknv/mO6Qaws9uSmU5Xp2ZdTLhxlSA3MbPnJTzkp5252aPy3bTXnbTyZIMp61DfPvhwfuOyz5KM1LFk9/prm1RBlB1OLDZqXV0SG/t2umrQn7t3EdF2f6TUiVRLCsdiz8E5Rc8e9SpcbZvk+6vfSmpQ9t31N10370UANLb5Gdw7Ovu3kxc5iabMssIWhGwHLHFhWF0gJCfOAzD6A5CliO2uDCMThCwUDAMo0sIWI7Y4sIw2g2HHbbXMIwuIHA5YosLoylWy/ahno1FL6VcD90/PXQSJUb/Ead3H3zMSdgDzxoQddOPSV35uvzIqdflfpk2m9PSjiI562wuOCnLMgNSdJb6nS6/76SsmxuXev7R+10K8dS89C9NT6oU8RPO9oCHpA1DekqOf3az0+Un8yqUufoRKntmDMP7ZZr3ZMFVPnmmtHcYVnYqBS/8d2pOhQpXLrnJJ8nU6T75vLyWdNKNSadN1yG95zy3UG1j8YT1R8TxTx85/dTrREK2s3FUuu/O5aVbq8/RGWnTMuSNUYcr11/1zLTrN9vnPmPNpl8PXY7Y4sIwOsFyEgkYhmH4BCxHbHFhGB0g5CcOwzC6g5DliC0uDKPdBB78xjCMLiBwOWKLC6Muy7V3aCaNeitTuXcDIRtihU45Q5g+zYVNTpSchC0OSmmbe/wmeTzuRN78BmVjodKJJwvO3qCc0enOUfW4/5i8uelZ2c/hpzu7kOkzZF1iqcsvnuP0/uk5ZWuwUQ6iMOIdqFTuKWXuML/FtTVzQrbDCXdcGJf2GJMDKuz1TmenkLhX2igsCsV+1F1bakSlIZ+VNhcn8tXjUfhp0wGA+7z7r+JY+DYWAHD+6S4OxiNTMiDJ0RPD4pjKbhKncjL++9ycPC7nvJ/SgpqjwaI4xtmu7sx+d9MqOuV7A4QsR2xxYRgdIGShYBhGdxCyHLHFhWG0G0bQhliGYXQBgcuRhhcXRJQEcDuAx5j5JUR0BoDrAIwD+BmA1zFzoVYbRneyXJXESlQZrQorvlrqFb/dC144V6Pm0oRsiLWatEqOVMQOstu+Ts9IfUBFuZdywned1INTh949Yp2wUtWtpN0bRaU6KA7Lm+2HydYuo6k5qYZIlFx5Re2ap+aru4UWRmRZZkr344UVV59F8oagM7ySHB6KU0490K92/7XqCH3u5HKpdgbQhB8yXY2vpF09dShxvx3lbuqrQnIFqYopl9WY1D2u1a4/LdQvQ4MnkspF11NRsR/yexlCIWQ50kyO17cBuMc7/ksAH2Xm3QBOAHhjKwdmGD0NN/jXe5gcMYxWEbAcaWhxQUQ7APw2gM/GxwTgOQCuj6tcC+Cy1RigYfQaC8FvGvnrJUyOGEbrCF2ONKoW+RiAdwFYMKddD2CSmRf2f/YD2L7UiUR0JYArASCLgaWqGMbaghlU6bGVQ2O0RI5kBseWqmIYa4vA5UjdxQURvQTAEWa+g4guWnh7iapLXiUzXwXgKgAYofFwZ8LoGpoJFd5MW211d11j34RWypGh8Z3cN+V01b49xPxm2WTfMemDyQkXQpuU7t5Pbw4AA0ecEUFpQBoQlLLatsOzdxhSZRl5SQNH3djLWdmuTqvef9iZn7AaX2ZKnjtzunOd1V4E8xtluxXP3EDbUfjnVtQvRHZCG6a4Ctr1VNtckHfq4LD0+50pqAdPr6lMVtowFJXLJhVdwzptug7p7bubahuLs7cfFsf35Ledej2vXE91P0k1Rp9KWdb15yUx4J1Xw3akKgHLkUZ2Lp4J4BIiejGALIARRE8go0SUip86dgA4sHrDNIzeotdUHg1gcsQwWkzIcqSuzQUzv5eZdzDzLgCvAvB9Zn4NgJsBvCyudgWAb67aKA2jl2AAFW7sr0cwOWIYLSZwOdKMt4jm3QDeTkR7EelOr27NkAxjDRCwlXebMTliGMslYDnSVBAtZr4FwC3x6wcBXND6IXUHvR6eOmSaCRVez/5iuTEx/LL7+HjNPpaiVduZRHQxgI8DSAL4LDN/WJW/HcCbAJQAHAXwe8z8SGt6Xx4rlSOlLDBxjlNcsyfFqCKNDY48XYZ09m0j5jfJm5Celrrxuc2enl2ZGhS1iYA3hsSiKB2yn6ldbuy59bJssiRjL1TS7ljbUSzqx2tK20qkVAyKcr9rbG6ztGEornMNiTgMAObPVDEcJjIDJd8AAA4xSURBVF1HpWFZN5GTz6406a5lRoXITir7kfKgK8/Nq4spKXuHvKs7e1TeGJ023Q/pre+pb2MBAGMbp0+9nnxkVLYzJiefJ91nRcfd8G1CACC/3r2uzHnXVqkRWKMKIcuRlexcGIaxTKjCDf3VbCMKSPUJAC8C8EQAlxPRE1W1nwM4n5mfjMjl869W4XIMw+gAIcsRW1wYRrtpdCuz/lPJBQD2MvODcVTL6wBcKrpivpmZF2JR3orIaNIwjG4ncDliuUWWialBOkc9VUct99Jm3FRXiyj4TcP7mRuI6Hbv+KrYLROIYkLs88r2A7iwRltvBPDtRjsOlfQMY8ut+VPHyZzzpTz+a/2i7tbvSOeT8qjbJs9tk1vo2iUzNeupANT9Kg1K0VlYl6pa9/B6ud296Q439mNPkS6OG38mY5Knj7sMoJWBjCgrD8njE7uzp17PbZV9pqfEIVJzTg0x8pDK4uplX933fNlO9oAaQ9Zda/9Dck5yyv01ea4bhHYnTa+Xk5/NOD1OoSTbTShdwNSEy7a6fdsEaqGzm/pod1NfFfLsp98tyh6aWi+Ojw+6z9K5mw6JsgdObBDH2VtcnJbJp7j7m0g1l4UsdDliiwvD6ASNy5FjzHx+lbKG40QQ0WsBnA/g2Q33bBhG2AQsR2xxYRgdoIknjlrsB7DTO14yTgQRPQ/AnwB4NjPndblhGN1JyHLEbC4Mo920Tld6G4DdRHQGEWUQxY+4wa9AROcB+DSAS5j5SOsuwjCMjhK4HLGdC6PraFU6dl3ejIvrymhNTgBmLhHRWwDsQeRC9jlmvouIPgTgdma+AcD/BDAE4GtRnjA8ysyXrLjzDsJJQnHEia7p05wdgJ9SHQAqw9IGI7/Z6cZL2drhv/17pNvNjUmbAT+kc36ddquU7puFUTd2FUUanJJjKq9z46+klcvogBTf5YyX9n1I2TvMqxDU3mG5T++KuzH4qdkBoDQg2014Lq5lOdUoK/OGwoznrqncLks56YKbGnX7/XlVlulTobY9l9e+lCw7OjMojuc8uwqdNl2H9PbdTbWNxUBauqIeLIycen3/hLSxmJ2XE5H1XpdKnku1/jDUJWw5YosLw+gErdnOBDPfCOBG9d77vdfPa0lHhmGER8ByxBYXhtFueHFAJMMwjKYIXI7Y4sIwOkGLnjgMw1jDBCxHbHGxTCz8dzg0cy+aCRXeaDsXvHCuar2qhCsTwoeAshfGO3vCPb4d367tHZTi3xPGtWwsAKCccbr8RenD1ROjn/a9/7gsnDuuTmZXnpnW8TOqp2Av9ys7DzX+inepfSo1ekWaLcj06OqzqOv66Hb9edFxQpI5NYak6yiRlnNUKchrm593djQVZYtQyKu4F14o8X1Hx0TZ0KBM7V7OeSni5XAXpU33Q3r7cSwAaWOhmc/LWCClohxvsd+zjSn6NhdVm6xOwHLEFheG0QF0DgzDMIxmCVmO2OLCMNoNo5ngN4ZhGIsJXI7Y4mKZrCU1SC13zRBoJsR3M66ojfbZbFZUArcq+M2ahCqMzIy3qe0J2Owx6cqZmpLb4omC2/qe3Sq3tkXGTAApL6x4oqhcMFPyuDjg+i0pLUhhg9yAT+bdubn1svLQY/JcOf4satF3wrV79DflFv/Aw1LXQZ4rKLHKZuq5lyYeNyPKyjMyy6yvFqmo6y6OyHZHhudPvZ6dl6qD4TF5n+bzbrwplWW0pEKHZ7a7ENrFgnLPrahQTp4KhfqVS6vCz26qQ3prd1NfFXLZmXeKsm888GRxXOp39zGTcWOgRHMyIXQ5YosLw+gEAQsFwzC6hIDliC0uDKMTBCwUDMPoEgKWI7a4MIx2E7iu1DCMLiBwOWKLC6MuIdpZ1GK5rqjtJGQr79Bhkm6kvj0EJ5WrpA6n7aUtHzxYlGUqHHhq1tlKVDKyTLuiZmZ9F1dZlpyR57IXdjotTRqQmpf2GaxCftei7JkxDDykwmkrb+mKH7Y7LecsWXDXUnpkSJQN6Ha8PtPTsiw1L697dqvnXqpsIU5OSlfPvgE3QB0WO9svQ2/PPrzOjWHbrCjTz/WJQdduIilLK8rmhoruWKdN1yG9fXdTbWPhp48HgOF97vikZyOiQ6I3QshyxBYXhtF2OOjtTMMwuoGw5YgtLgyj3TCCFgqGYXQBgcsRW1wYRicIdzfTMIxuIWA50tbFxVlPnsOePWHHTDB6m1A+cyH7p4dOcZiw/7lOP81DTsImMvOi7slzVJhmb9rTG2XdwpTUo5NntsBSzQ/oVNeeHUX/o9LeIZmTdR99id+OjLUwdaGyA8i5POaJ6Tr2FxtdrAgdThtFZTPixXjIHVT2A+Oe3UdJ2gFMnyt/zcgL490/mBdlyaSsu/nz7l7MbpbjSaj5HTzsfpq0HUo5K+N9zLzQzdnY12WK9cy0+vU927WblLd/UYj3vJdlPXuzDCueVeYRfkjv0oAc3/Cj0uZi8/sfPPW68j8ef+r1kYll2FwELEds58IwOkHAQsEwjC4hYDliiwvDaDfMQDng/UzDMMIncDnS1sXFfXcOBLMtbXQvtcJ7A82pPjoW2jzgJ47QSc8A237gjlPzbjt54ux+UXfbD6bEcXGkz3stt685Ibel0zNeRtK+6tlAAaCccW/kR+S9Pblb1t35Hfd6boNsaORhqQJIe+G/S0MyZHZFuZBO7XLXUxysPV4qO9Hff0yFNvfil0/uluoL7Trru+RSSc+nrHvwd5weojwnf3pIZUmd7neqBCIVal2F+E4cdvd04jLpK5vtkyqJmf1ONcMZFfZ8QKqoKt4YJ58iXVxLKsa7n93UD+kNSHdTQKpCpt7sPp/le5axUAhYjtjOhWF0goCFgmEYXULAcsQWF4bRbhiLDQINwzCaIXA5YosLw2g7DHC4ulLDMLqBsOVIWxcX0zhx7Lt8/SMANgA41s6+6xDaeIDwxhTMeJJbT72sMqa9y2mrqfMUpzdVmxG0IVbozJ7Yf+zHX/vjpeXIt2Tdu9o2KgANfkcerFehtQTzvY0JbTxAm8ck7v//EUU9JUfaurhg5o0AQES3M/P57ey7FqGNBwhvTKGNBwhzTA0TsK40dEyONE5oYwptPECYY2qYgOWIqUUMoxMELBQMw+gSApYjtrgwjLYTdsIhwzC6gbDlSKcWF1d1qN9qhDYeILwxhTYeIMwx1YcBBJwquYsI7f6HNh4gvDGFNh4gzDHVJ3A5QhzwyscwepF16U38m+tf1lDd7xz+5B1dqw82DGPVCF2OmFrEMNpO2GF7DcPoBsKWI7a4MIx2wwAH7J9uGEYXELgcSdSv0jqI6GIiupeI9hLRe9rZtzeGzxHRESL6d++9cSK6iYjuj/+P1WqjxePZSUQ3E9E9RHQXEb0tgDFlieinRPTLeEx/Fr9/BhH9JB7TV4goU6+tFo8rSUQ/J6JvhTCeFVHhxv6MRZgcWXI8JkcaH5fJkTbQtsUFESUBfALAiwA8EcDlRPTEdvXvcQ2Ai9V77wHwPWbeDeB78XG7KAF4BzOfA+AZAP5LPC+dHFMewHOY+SkAngrgYiJ6BoC/BPDReEwnALyxjWMCgLcBuMc77vR4lg9zY3+GwORIVUyONI7JkTbQzp2LCwDsZeYHmbkA4DoAl7axfwAAM/8AwIR6+1IA18avrwVwWRvHc5CZfxa/nkb0od/e4TExMy/kP0zHfwzgOQCu78SYiGgHgN8G8Nn4mDo5nhXBHFl5N/JnaEyOLD0ekyMNYHKkfbRzcbEdwD7veH/8XghsZuaDQPQlBbCpE4Mgol0AzgPwk06PKd46/AWAIwBuAvAAgElmXsgn3O779zEA7wKw8E1Z3+HxrIyAnzgCx+RIHUyO1MTkSJto5+KClnjPpGcMEQ0B+AcAf8TMU50eDzOXmfmpAHYgelo8Z6lq7RgLEb0EwBFmvsN/u1PjWTkMLpcb+jMW0cX3ffUxOVIdkyPtpZ3eIvsB7PSOdwA40Mb+a3GYiLYy80Ei2opold02iCiNSCB8iZn/MYQxLcDMk0R0CyI97igRpeJVfjvv3zMBXEJELwaQBTCC6AmkU+NZGYGnSg4ckyNVMDlSF5MjbaSdOxe3AdgdW+ZmALwKwA1t7L8WNwC4In59BYBvtqvjWOd3NYB7mPkjgYxpIxGNxq/7ATwPkQ73ZgALUVvaNiZmfi8z72DmXYg+N99n5td0ajwtgSuN/RkakyNLYHKkPiZH2kvbFhfxqvAtAPYg+oB9lZnbnBEZIKK/B/BjAGcT0X4ieiOADwN4PhHdD+D58XG7eCaA1wF4DhH9Iv57cYfHtBXAzUR0JyJhfhMzfwvAuwG8nYj2ItJVXt3GMS1FaONpCAbAFW7orx713DKJqC92r9sbu9vtav0VtQ+TI1UxObJ8QhtPQ4QuRyz8t2G0mREa52ekXtBQ3ZtKX6katjd2y7wP0Y/GfkQC/HJmvtur8wcAnszMv09ErwLwn5j5lSu9BsMwOkvocqStQbQMw4hokSFWI26Zvivi9QCeG2+hG4bR5YQsRyz8t2G0mWmc2PNdvn5Dg9WzRHS7d3wVMy9kcVzKLfNCdf6pOsxcIqKTiLZ+jzU/csMwQiF0OWKLC8NoM8ysIzsul0bc6LrY1c4wjGqELkdMLWIY3Usjbpmn6hBRCsA6LI4saRjG2mVV5IgtLgyje2nELdN3RXwZIvc727kwDGOBVZEjphYxjC4l1n0uuGUmAXyOme8iog8BuJ2Zb0DkVveF2M1uApHgMAzDALB6csRcUQ3DMAzDaCmmFjEMwzAMo6XY4sIwDMMwjJZiiwvDMAzDMFqKLS4MwzAMw2gptrgwDMMwDKOl2OLCMAzDMIyWYosLwzAMwzBayv8P9z6aCh5dpRgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred, v_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1:3]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0]).mean(axis=0))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb79951b320>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(v_pred[:, :, :5].mean(axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb7994e2630>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bernoulli codec\n",
    "\n",
    "## Build the VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# VAE Parameters\n",
    "n_nodes = l * k\n",
    "adj = nx.adjacency_matrix(g).astype(np.float32)\n",
    "\n",
    "n_ξ_samples = 5\n",
    "dim_data, dim_l1, dim_ξ = l, 10, 2\n",
    "dims = (dim_data, dim_l1, dim_ξ)\n",
    "use_bias = False\n",
    "\n",
    "\n",
    "# Actual VAE\n",
    "q_model, q_codecs = ae.build_q(dims, use_bias=use_bias)\n",
    "\n",
    "def p_builder(p_input):\n",
    "    # CANDO: change activation\n",
    "    p_layer1 = keras.layers.Dense(dim_l1, use_bias=use_bias, activation='relu',\n",
    "                                  kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                                  name='p_layer1')(p_input)\n",
    "    p_adj = layers.Bilinear(0, use_bias=use_bias,\n",
    "                            kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                            name='p_adj')([p_layer1, p_layer1])\n",
    "    p_v = keras.layers.Dense(dim_data, use_bias=use_bias,\n",
    "                             kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                             name='p_v')(p_layer1)\n",
    "    return ([p_adj, p_v], ('SigmoidBernoulliAdjacency', 'SigmoidBernoulli'))\n",
    "\n",
    "\n",
    "vae, vae_codecs = ae.build_vae(\n",
    "    (q_model, q_codecs),\n",
    "    p_builder,\n",
    "    n_ξ_samples,\n",
    "    [\n",
    "        1.0,  # q loss\n",
    "        1.0,  # p adj loss\n",
    "        1.0,  # p v loss\n",
    "    ],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
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    "display(SVG(model_to_dot(vae, rankdir='LR').create(prog='dot', format='svg')))"
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   "source": [
    "## Target function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def target_func(batch_adj, required_nodes, final_nodes):\n",
    "    return [\n",
    "        np.zeros(1), # ignored\n",
    "        utils.expand_dims_tile(utils.expand_dims_tile(batch_adj + np.eye(batch_adj.shape[0]), 0, n_ξ_samples), 0, 1),\n",
    "        utils.expand_dims_tile(features[final_nodes], 1, n_ξ_samples),\n",
    "    ]"
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   "source": [
    "## Before training\n",
    "\n",
    "$\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred, v_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1:3]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0]).mean(axis=0))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb798b3ef98>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(scipy.special.expit(v_pred).mean(axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb798a8e2e8>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Train**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 500#5000\n",
    "seeds_per_batch = 1\n",
    "max_walk_length = 30\n",
    "p = 1\n",
    "q = 1\n",
    "neighbour_samples = None\n",
    "\n",
    "steps_per_epoch = int(np.ceil(len(features) / seeds_per_batch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n",
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n",
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n"
     ]
    }
   ],
   "source": [
    "history = vae.fit_generator_feed(batching.batches(vae, adj, labels, target_func,\n",
    "                                                  seeds_per_batch, max_walk_length,\n",
    "                                                  p=p, q=q, neighbour_samples=neighbour_samples),\n",
    "                                 steps_per_epoch=steps_per_epoch,\n",
    "                                 epochs=n_epochs,\n",
    "                                 check_array_lengths=False,\n",
    "                                 shuffle=False,\n",
    "                                 verbose=0,\n",
    "                                 callbacks=[\n",
    "                                     #keras.callbacks.TensorBoard(),\n",
    "                                     #TQDMCallback(),\n",
    "                                 ])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usually, the cell above complains with \"UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\". See these for more details:\n",
    "* https://stackoverflow.com/questions/35892412/tensorflow-dense-gradient-explanation#35896823\n",
    "* https://stackoverflow.com/questions/39111373/tensorflow-chaining-tf-gather-produces-indexedslices-warning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred, v_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1:3]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0]).mean(axis=0))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb77b9b5160>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(scipy.special.expit(v_pred).mean(axis=1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fb77b97c470>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(features)"
   ]
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}