6.Backpropagation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import torch\n",
    "import torchvision\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "\n",
    "from nn_interpretability.interpretation.backprop.vanilla_backprop import VanillaBackprop\n",
    "from nn_interpretability.interpretation.backprop.guided_backprop import GuidedBackprop\n",
    "from nn_interpretability.interpretation.backprop.integrated_grad import IntegratedGrad\n",
    "from nn_interpretability.interpretation.backprop.smooth_grad import SmoothGrad\n",
    "from nn_interpretability.model.model_trainer import ModelTrainer\n",
    "from nn_interpretability.model.model_repository import ModelRepository\n",
    "from nn_interpretability.visualization.mnist_visualizer import MnistVisualizer\n",
    "from nn_interpretability.dataset.mnist_data_loader import MnistDataLoader"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_name = 'model_cnn.pt'\n",
    "\n",
    "train = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "mnist_data_loader = MnistDataLoader()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "MnistVisualizer.show_dataset_examples(mnist_data_loader.trainloader)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = ModelRepository.get_general_mnist_cnn(model_name)\n",
    "\n",
    "if train:\n",
    "    criterion = nn.CrossEntropyLoss()\n",
    "    optimizer = optim.Adam(model.parameters(), lr=0.0005)\n",
    "\n",
    "    model.train()\n",
    "    ModelTrainer.train(model, criterion, optimizer, mnist_data_loader.trainloader)\n",
    "    \n",
    "    ModelRepository.save(model, model_name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# I. Vanilla Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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eQ8+cOVP04a/5PGq/zugzjtb8iPCNGgCAijFQAwBQMQZqAAAqxkANAEDF+l7wpLcwyYulogVQvMDMF3v3dpRw9+IwL8jyxUuijcKdT5r3AoRt27YV7/H79cXfx8bGsnZUsOUFBl7U4ffqxXhSWTzh9+vFJV0KRQDMD17U66IFTzzueAz1oqZooSWPd76YlZ/j6NGjRR9etOWLgHjhaxTLfWERvy6/F1+oSirvzxdF8bjchY9lvuDJIPhGDQBAxRioAQCoGAM1AAAV6ytHnVLK8hCeK41ysr7AiT+3X7t2bdY+efJk0YfnNXzivdu/f3/rdRw4cCBrj4+PZ22f8C6VG3f4BiM+4T9aeMU38rhy5UrW9vxylKPxYzwn5Xme6L9LtAgKgPnH89XRhhp+jMcQz+tGmyMtX748a3v9kceyJUuWFH14zY0vGuJxKVq8ZXR0NGv7vfgYE8XyI0eOTHsdbibx0nPpLHgCAMCQYqAGAKBiDNQAAFSsrxz1yMhIkS/uFeVCPU/hOVqfex1tQnHq1Kms7bkRf/b/9ttvF334MQcPHszanseINj33PI/PvfN72759e9GH35/nsf3z8sX0pTL34dfl98qmHMBw6f399RgR1bV4LtRjQtsGG9FrHnd8LYooN+yveV7b5zf7HGmprBXynLVv/OFxWpKOHz+etX1OuOfjN23aVPThsdxjqsdhj9v94Bs1AAAVY6AGAKBiDNQAAFSs77W+e5/D+zP6LrlQn0fnP4/WWPW8hueoPUcTrXXr+RPPUfjcO8+LS+X9+dquW7duzdrRvfh7PJ/keZ8or+FzC33e5CC5EAB1GxkZyeJo25xoqYzV0VzrXtFa4h6HvU/P80Zrffu1eZ8eY6O1KDxXfujQoazdJWfv+WP/DH1cimqn/DWP7W199oNv1AAAVIyBGgCAijFQAwBQMQZqAAAq1lcxWdM0WSGTFyR0WbjcE/vnz5/P2tFm2xcvXszaXpDgk9Oj4gFfwMQLsk6fPp21Jycniz78/nzxl40bN2btqKjLJ/R70YYXSvgiKlJZLOFtNtwAbh9epBQtSuXHrF69Omt7UZcXRkllrPL3eOyONtTwuOoFuF48tmzZsqIPj6t+b75oVLR4i48H9913X9besWNHax9RwV0vj8sUkwEAMKQYqAEAqBgDNQAAFRsoR+2TxqOFRvwYnyQePft3vom55waijSuc51OiBU16RfkVv44HHngga69bt27ac0rl5+F5Hc+vL1iwoLWPaEPyXmzAAQyX6X6no5jRVrfiOekui6b4AieeT965c2fRR1vs8s0vovv0HLwvLOX3H41LPu74QlxtC6JI7eOOf+bRvXStJ+IbNQAAFWOgBgCgYgzUAABUrO9NOXqfqbfN5/XjpXh+Xq+xsbHiNc9Jex9tOYro2tasWZO1z5w5k7U93yyVm4F4XsNzONGC8m35ZP+8os/Ucx1dcvRt5wEwPzRNM+0c3mjthbbNMDxnG21C4THD4+yWLVuydpQbbtu4yNfMiGqYvF+Pw21rdUhlztnvbcWKFVk7Wt+jX4PEXL5RAwBQMQZqAAAqxkANAEDF+spRp5Sy5/+e9/BcgVTOR/b8cpf5am1rinu+JZoD7XkNzzl0yfP6PGrP43huKMrH+3s8F+J57Siv4fmpttzHIPP3ANSn9/fXY0q0x4Dnkz3etdUORcd4LnjlypVZe/HixUUfni8eHR3N2h7Lozy3xy6P9573jmK7z/n2Pr0d5ezb1vr2sY21vgEAGFIM1AAAVIyBGgCAijFQAwBQsb4XPOnlyfKoQMkT+W0LfkQbWXjSvm1ji6h4oK1YLCpAc1euXMnaExMTWduLJ6KFV7wooe3eIm1FDF0WTQEwHPz3Oypa8mO84MwLw6I+li9fPm0fHh8jfszZs2enPb5L0asXIPu9RoVgXgjdFoejz8P7aLuOCJtyAAAwBBioAQCoGAM1AAAV6ztH3fsc3p/bR/nVtmf9XXIB/uw/2tS87To8n+K5cO8zOofnwv08nn+J8u1Lly7N2m2Lw3eZJO/HsJgJMNx6858eh3yBKKmMM97290SLV/mGGb5oiNf5RBtZtG0o5O+JFsBqi/9+HdHxvrBUW+1QlOe+lfhGDQBAxRioAQCoGAM1AAAV6/vBe29OoUsu1HMQ/uzfcxZtc4SlMifjOYgor+uvteWkozlwnl/2XEjbYvFSmQtqy310uZeZ5LUBDIe2DSWkMvfrx/jmF9FmGB6bPWftsSy6Do9N0VoTbX14/PdY7Xltz0dHPC77dUWx3M/bFoe7fB5T4Rs1AAAVY6AGAKBiDNQAAFSs7xz1dHnpaP5yv2t9d8l7t82ji577e79t1xHN32t7j5832sC9jZ8juo623EeXz5A8NjCcuuwX4Lrkl/2Yttgexel+9x2I4lTbHhNtuePoNb/W2Yips1k7xDdqAAAqxkANAEDFGKgBAKgYAzUAABXru5hsuoR4l+KptkKwm2U2Cr3aCiH8HLNR1Naljy7nBTA8pvsdn43f/y5xum2DjX4Lx6T2TYqkbhs59YruZb7FSL5RAwBQMQZqAAAqxkANAEDFUpeJ3P9/cEpnJY3fvMvBHNnUNM3YXF8EgHbE4aEWxuK+BmoAAHBr8egbAICKMVADAFAxBmoAACrGQA0AQMUYqAEAqBgDNQAAFWOgBgCgYgzUAABUjIEaAICK/R/Dj8+0MHAFhgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    \n",
    "    interpretor = VanillaBackprop(model, [], None)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "    \n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "    \n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# II. Guided Backpropagation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Guided Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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c3FxjDK/Jeu72PSGmpqYaY4yNjXW8T79GrmfJc/O2bduS2Oelq1evNsYo7SPh+bFN3T+3B8ig8IkaAICKMVEDAFAxJmoAACrGRA0AQMX6aiYrHZwtNZul/DW+GN0Xq0vS9PR0Evvh4idOnCiO4Y1fvsGJL1bPNSD4JgBHjhxJYm+E8M1cJOnQoUMd78MPZ889i7+Hfl/esJfb6L7NJvwA1h5vppKaOaEk1zzlm5N4A5rnrlxDrjdpef7btGlTEufysM8Z3kzmeTc3L3mu9mfz9zD3fpSuw6EcAACsE0zUAABUjIkaAICK9VWj9jpnm43LPfZawOjoaGMMr1t4TcLrL7nN0f01pQX/uU3pvSbvY3o9Pncf/h75BiheT85tSu+1Ef/v4HWfHA7lAIaD59Bc3vGvee7ynOo5V2rWl8+cOZPEfhhQrg+m1E+zZ8+eJM7112zfvr3xtaU8t+c2b/FnKfUX5Wr8y1mTdnyiBgCgYkzUAABUjIkaAICK9VWj9t/J535H7/VSr+N6bXhiYqIxhq/P83qCHyR+7Nixxhi+Hs/rJ20OSi9twu41i1yt2Gsu/vz+HubWRPpBHX5ffh+5MQAMh17ysOcEP+gnd3iGHzLkP/Phhx8m8eXLlxtj7Nq1K4k9H3r9OVdv9/qy57+FhYUk9n032ozh81SO35uP4e9xP3tXkMEBAKgYEzUAABVjogYAoGJ91ajb8N/j++/+Jycnkzi3L6uvNZ6fn09irwXkDgX3WrDXbLyu06ae4M/WZl2d17V7OWzcr5PbUxzA+uD5zuuvUrMW7HnH1xrn+mu8N8jzn/cKeSw1e4V83wx/lpmZmcYYvqbZa9Leb5TL5f78Poe02S/cLWcvEJ+oAQCoGBM1AAAVY6IGAKBiTNQAAFSsry6kNgV2b0rwZgH//vT0dGMMb0DwQ769qSHXTFFqFvNGgNyz+b163MuC9lIDQu77fp3Shic5bV4DoH6lXCY1866/xjcn8ZwrNQ/q8AM0Nm/enMS+UZXUbOqdmppKYt9UJdco681jHvuz5nJd6ZCmNvmxnw1MusUnagAAKsZEDQBAxZioAQCo2LIfyuFf84XmvhA/twl7aYw2NepSzcGvkauN5O6tk9xmJl4/KW2a0ssi+pWsnQBYXW3ykuczzyu+qZTXinPOnz/f8T5yOdQ3I/H875tZ5XKZj+HXbZMzS30+LjfmIA/dKOETNQAAFWOiBgCgYkzUAABUrOsada4O3UmbAzNKvCbhY+Zq0t3eV5t11H6dUi0k96ylOoZ/v83B6a7N4SAA1i+vDXtO8e9Lzbr1pUuXkriXA4Y8h3quyuXh0ppnz5m5nNttPXm1+374RA0AQMWYqAEAqBgTNQAAFetrHXUvSjWIXC1gJfal7qV2XtpjO1cb7nZv79yzl9bvUZMGsFQpJ+TWPHc7ZptcXspdg8ihLvdsq11z7hafqAEAqBgTNQAAFWOiBgCgYkzUAABUrOsOgk6NXbnCf2lxei+NT71shu7XKTUxDEIvDWoAsNwG0XBaOgyk20OMpOVphF1rjWM5fKIGAKBiTNQAAFSMiRoAgIqFbmqzIYSPJZ1evtvBKvlSjHF8tW8CQBl5eKhlc3FXEzUAAFhZ/OobAICKMVEDAFAxJmoAACrGRA0AQMWYqAEAqBgTNQAAFWOiBgCgYkzUAABUjIkaAICK/T/sl8sZud6ktwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ga7G9Sb3nqHfv3j04h+eoaw32AUyvWq404jHD86nROcZ9n2hzEN9kw6/D115H7+Hx3fPHhw8fLsa+rloa1hf5Wmyfh6L6K+9nEW3csVa4owYAoGNM1AAAdIyJGgCAjk30UN3XmkV53lof6trG4dFrfB2dr83zXLI0zEn7Mf4enjuXhusG/VpbNhv3ddPeH72l565/3uiYUS0byQO4M3g/C9fSp9vzuj6OcsMe77y/ha+BjuKwx3vPH/sc4vs6SNKBAweKsdcseWyLrmNhYaEYnz9/vhjX9qiI1NaVT4I7agAAOsZEDQBAx5ioAQDoGBM1AAAdG7uYbLQowQsOosblXvTgzdA9qd+ySN4T+978PSq08GIyT/z7dUTFVn7eXbt2DY4ZFRWk+WfxY7Zt21aMvYlKdG215gUUjgHTywvFooZPtRjgxVNRDL148WIxrsV/P6c0jH/79u0rxr6hRrSxhzeSigqQRy0uLlZ/5o25apt2SMPP11JcvVrcUQMA0DEmagAAOsZEDQBAxyZqeNKyMXatcbk3CYlyKZ4v8FyAnyPKDdQ2rrh06VIxjhbJez7FF+N77sQbk0T88/r3FeVG/NprC+3JUQPTI6VUxFGPh16PIw3jn8cEj8seh6RhHPYY6RtbRE1CvMGTbzrk1x6do9acxeOub3wUHeP8O601lYqsZQMU7qgBAOgYEzUAAB1jogYAoGNj5ahTSsWz+pZn7v5sf/PmzSv+3tcRS8P8ijeD9zVxUe7cc9B+7Z5/8VxK9Jpao/soz+P5FM9B+3VE33FLbQCA6ZRzLmKL50KjfhYeQz3O+Diqa/EaHF97vH///mLscVqSjhw5suK1nj59evAa5/H+woULxdhjrF+nNMxR++f1eSqqe/L8+VpuwuG4owYAoGNM1AAAdIyJGgCAjo2Vo845F8//V7M+19c8t6z59ZyD98eOeso6z0l4fsFzEtFaxFrfcs9jRDkL3yjdv4+oP7hbyx6yAKafx9VaL4ooDh88eLAYezz0+qIoLh8/frwY79ixoxjPzc0V4yi/7Of1Y2p7H0jDHhi1eqP1xh01AAAdY6IGAKBjTNQAAHSMiRoAgI5NtCnHahqeeBMQL1q4fPny4Bye2PfXeKFYVDzgBWkuKh5zXoBw9erVYuwNAbxAIzqHf7aWQjEvpvDPVvusAKaH/3uP4p/HYT9my5YtxTiKXbOzs8XYC3C9qCsqJvONPHzDjIsXLxbjqGnUuJsQRd+Hf77ofcZFwxMAADYoJmoAADrGRA0AQMfGzlGPm/+s5Q9azlfL27bkBmrNWTyPEeU1POfiOeoTJ04U45amKX7tLQ1g/Ge1ZgYR8tjAdPB//y11Lt5YyeOB56ylYf7YGz55rVCU9/VGU9evXy/GHv+iPLd/Xt/YyOOfv+dy1zbKv4+WmFrLnU+CO2oAADrGRA0AQMeYqAEA6NhE66hb+LP9lg00XO1Zf5SDcNG6wFGeb4nUNiRv2SzE89a1a49y1L01jAewflrqWjxmeFxeWFgoxouLi4Nz1PK6HmM9Zx29r6/F9mv3vhPS+PnjKF76OWo1TLdyjXQL7qgBAOgYEzUAAB1jogYAoGO3PEc9rrVYE32reC6klhvx/EuktuYxeg//GWuigY2rZf2ux4xaP+zoHF5fs5r9E8a9jqifhfNr9Vz6avLL6zXHLIc7agAAOsZEDQBAx5ioAQDoGBM1AAAd666YrLck/iRaGrnXUCgGYFLjbhjRErtWE9/Gje/RddZi4jQW23JHDQBAx5ioAQDoGBM1AAAdS+MsBk8pzUn68NZdDtbJ4Zzz7vW+CAB1xOGpFsbisSZqAABwe/HoGwCAjjFRAwDQMSZqAAA6xkQNAEDHmKgBAOgYEzUAAB1jogYAoGNM1AAAdIyJGgCAjv0vIcS211p1JqMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    \n",
    "    interpretor = GuidedBackprop(model, [], None)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "\n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "\n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Guided Backpropagation + SmoothGrad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    \n",
    "    interpretor = GuidedBackprop(model, [], None, True, 0.8, 100)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "\n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "\n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# III. Integrated Gradients"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Integrated Gradients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    baseline = torch.zeros(img.size())\n",
    "\n",
    "    interpretor = IntegratedGrad(model, [], None, baseline, 100)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "    \n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "\n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Integrated Gradients + SmoothGrad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    baseline = torch.zeros(img.size())\n",
    "\n",
    "    interpretor = IntegratedGrad(model, [], None, baseline, 100, True, 0.5)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "\n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "\n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# IV. SmoothGrad"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Analyze gradient noise\n",
    "This is an experiement form the paper \"SmoothGrad: removing noise by adding noise\" to analyze how human indistinguishable Gaussian noise can affect the gradient fluctuation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Baseline image v.s. Perturbed image\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "img = mnist_data_loader.get_image_for_class(1).cpu()\n",
    "\n",
    "noise = torch.zeros(img.size()).normal_(0.01, 0.001)\n",
    "gradient_list = []\n",
    "steps = 100\n",
    "\n",
    "interpretor = VanillaBackprop(model, [], None)\n",
    "reference = interpretor.interpret(img)\n",
    "reference = torch.max(torch.abs(reference)).item()\n",
    "\n",
    "for i in range(steps):\n",
    "    img_noise = img + (i*noise / steps)\n",
    "    saliency = interpretor.interpret(img_noise)\n",
    "    max_gradient = torch.max(torch.abs(saliency)).item()/reference\n",
    "    gradient_list.append(max_gradient)\n",
    "\n",
    "\n",
    "print(\"Baseline image v.s. Perturbed image\")\n",
    "MnistVisualizer.cat_images([img, img_noise], 4, 4)\n",
    "plt.plot([x/100 for x in range(steps)], gradient_list)\n",
    "plt.xlabel('t')\n",
    "plt.ylabel('gradient fluctuation rate')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. SmoothGrad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "img_shape = (28, 28)\n",
    "\n",
    "for i in range(10):\n",
    "    img = mnist_data_loader.get_image_for_class(i)\n",
    "    \n",
    "    interpretor = SmoothGrad(model, [], None, 0.8, 100)\n",
    "    endpoint = interpretor.interpret(img)\n",
    "    endpoint = MnistVisualizer.normalize(endpoint)\n",
    "\n",
    "    images.append(endpoint.detach().numpy().reshape(img_shape))\n",
    "\n",
    "MnistVisualizer.display_images_for_each_class(images)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}