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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Variational AutoEncoder (VAE) with MNIST\n",
    "========================================\n",
    "---\n",
    "Formation Introduction au Deep Learning  (FIDLE) - S. Arias, E. Maldonado, JL. Parouty - CNRS/SARI/DEVLOG - 2020  \n",
    "\n",
    "## Episode 2 - Analyse our trained model\n",
    " - Defining a VAE model\n",
    " - Build the model\n",
    " - Train it\n",
    " - Follow the learning process with Tensorboard\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 1 - Init python stuff"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "FIDLE 2020 - Practical Work Module\n",
      "Version              : 0.2.5\n",
      "Run time             : Wednesday 5 February 2020, 17:38:40\n",
      "Matplotlib style     : ../fidle/talk.mplstyle\n",
      "TensorFlow version   : 2.0.0\n",
      "Keras version        : 2.2.4-tf\n",
      "\n",
      "FIDLE 2020 - Variational AutoEncoder (VAE)\n",
      "TensorFlow version   : 2.0.0\n",
      "VAE version          : 1.24\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import sys, importlib\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import modules.data\n",
    "importlib.reload(modules.data)\n",
    "from modules.vae  import VariationalAutoencoder\n",
    "from modules.data import load_MNIST\n",
    "\n",
    "sys.path.append('..')\n",
    "import fidle.pwk as ooo\n",
    "importlib.reload(ooo)\n",
    "\n",
    "ooo.init()\n",
    "VariationalAutoencoder.about()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 2 - Get data"
   ]
  },
  {
   "cell_type": "code",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dataset loaded.\n",
      "Resized and normalized.\n",
      "x_train shape : (60000, 28, 28, 1)\n",
      "x_test_shape  : (10000, 28, 28, 1)\n"
     ]
    }
   ],
   "source": [
    "(x_train, y_train), (x_test, y_test) = load_MNIST()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 3 - Load best model"
   ]
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model initialized.\n",
      "Outputs will be in  : ./run/000\n",
      "Weights loaded from : ./run/000/models/best_model.h5\n",
      "Model: \"model_5\"\n",
      "__________________________________________________________________________________________________\n",
      "Layer (type)                    Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      "encoder_input (InputLayer)      [(None, 28, 28, 1)]  0                                            \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_4 (Conv2D)               (None, 28, 28, 32)   320         encoder_input[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_5 (Conv2D)               (None, 14, 14, 64)   18496       conv2d_4[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_6 (Conv2D)               (None, 7, 7, 64)     36928       conv2d_5[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_7 (Conv2D)               (None, 7, 7, 64)     36928       conv2d_6[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "flatten_1 (Flatten)             (None, 3136)         0           conv2d_7[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "mu (Dense)                      (None, 2)            6274        flatten_1[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "log_var (Dense)                 (None, 2)            6274        flatten_1[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "encoder_output (Lambda)         (None, 2)            0           mu[0][0]                         \n",
      "                                                                 log_var[0][0]                    \n",
      "==================================================================================================\n",
      "Total params: 105,220\n",
      "Trainable params: 105,220\n",
      "Non-trainable params: 0\n",
      "__________________________________________________________________________________________________\n"
     ]
    }
   ],
    "tag = '000'\n",
    "\n",
    "vae=modules.vae.VariationalAutoencoder.load(tag, config='vae_config.json', weights='best_model.h5')\n",
    "vae.encoder.summary()"
   "cell_type": "markdown",
    "## Step 4 - Reconstructing original images"
   "cell_type": "code",
   "execution_count": 5,
    "z_points       = vae.encoder.predict(x_test)"
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x169.2 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x169.2 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x216 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
    "demo_nb = 10\n",
    "\n",
    "i_demo = np.random.choice(range(len(x_test)), demo_nb)\n",
    "x_demo = x_test[i_demo]\n",
    "\n",
    "z_points       = vae.encoder.predict(x_demo)\n",
    "reconst_images = vae.decoder.predict(z_points)\n",
    "labels=[ str(np.round(z_points[i],1)) for i in range(demo_nb) ]\n",
    "ooo.plot_images(x_demo, labels, range(demo_nb), columns=10, x_size=2,y_size=2)\n",
    "ooo.plot_images(reconst_images , labels, range(demo_nb), columns=10, x_size=2,y_size=2)\n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(15, 3))\n",
    "fig.subplots_adjust(hspace=0.4, wspace=0.4)\n",
    "\n",
    "for i in range(demo_nb):\n",
    "    img = x_demo[i].squeeze()\n",
    "    sub = fig.add_subplot(2, demo_nb, i+1)\n",
    "    sub.axis('off')\n",
    "    sub.text(0.5, -0.35, str(np.round(z_points[i],1)), fontsize=10, ha='center', transform=sub.transAxes)\n",
    "            \n",
    "    sub.imshow(img, cmap='gray_r')\n",
    "\n",
    "for i in range(demo_nb):\n",
    "    img = reconst_images[i].squeeze()\n",
    "    sub = fig.add_subplot(2, demo_nb, i+demo_nb+1)\n",
    "    sub.axis('off')\n",
    "    sub.imshow(img, cmap='gray_r')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 5 - Train"
   ]
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no\n"
     ]
    }
   ],
    "import numpy as np\n",
    "\n",
    "a=np.array([[1, 2], [5, 5]])\n",
    "if a is not None : print('no')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
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