text_classification_demo.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "import tensorflow_datasets as tfds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = tf.keras.models.load_model(\"runs/text_classification/11/model\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Logging before flag parsing goes to stderr.\n",
      "W0805 10:55:30.431408 4710557120 dataset_builder.py:439] Warning: Setting shuffle_files=True because split=TRAIN and shuffle_files=None. This behavior will be deprecated on 2019-08-06, at which point shuffle_files=False will be the default for all splits.\n"
     ]
    }
   ],
   "source": [
    "data, info = tfds.load(\"imdb_reviews/subwords8k\",\n",
    "                           with_info=True,\n",
    "                           as_supervised=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "encoder = info.features[\"text\"].encoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "inp = [encoder.encode(s) for s in [\n",
    "    b\"this movie is excellent\", \n",
    "    b\"this movie is good\", \n",
    "    b\"this movie sucks\",\n",
    "    b\"That movie was absolutely awful\",\n",
    "    b\"The acting was a bit lacking\",\n",
    "    b\"The film was creative and surprising\",\n",
    "    b\"Absolutely fantastic!\"\n",
    "]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "preds = [model.predict(tf.expand_dims(i, 0))[0] for i in inp]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[array([[1.]], dtype=float32),\n",
       " array([[1.]], dtype=float32),\n",
       " array([[0.]], dtype=float32),\n",
       " array([[0.]], dtype=float32),\n",
       " array([[2.4073228e-07]], dtype=float32),\n",
       " array([[0.99999964]], dtype=float32),\n",
       " array([[1.]], dtype=float32)]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "preds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "str_tokens = [encoder.decode([i]) for i in [19, 188, 18, 4, 287, 3453, 100]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "_, a1, a2 = model.predict(tf.expand_dims([19, 188, 18, 4, 287, 3453, 100], 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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fOToXGVQAAIYigwoAMDBNUgAAMDMBKgAAQ1HiBwAY2ApW+GVQAQAYiwwqAMCoWpMUAADMToAKAMBQlPgBAAa2ghV+GVQAAMYigwoAMKiOJikAAJidABUAgKEo8QMADGwFK/wyqAAAjEWACgAwsO75bjuiqk6tqo9X1aVV9fQtrP/2qnp7VX2wqi6uqgdvb0wBKgAAu6Sq9ktyZpIHJTkhySOq6oQ1m/16kj/r7nskeXiSF25vXAEqAAC76qQkl3b3J7r7K0lem+S0Ndt0kttM9w9NcuX2BtUkBQAwsJmbpI6oqguWHm/s7o1Lj49OcvnS4yuSfP+aMc5I8jdV9UtJviXJA7e3UwEqAABbs6m7N2xjfW1h2dqY+hFJXt7dv19VJyd5ZVXdtbu/sbVBBagAAAMb/JOkrkhy7NLjY/LNJfzHJTk1Sbr7vKo6IMkRST6ztUEFqLAdfcbcM9j71Blzz4B9ndcYDOP8JMdX1R2T/FsWTVD/fc02/5rkAUleXlXfneSAJJ/d1qCapAAA2CXd/bUkT0zytiQfzaJb/5KqenZV/ci02S8neXxVXZTkNUke073tvLAMKgDAoDrDl/jT3WcnOXvNsmcu3f9IkvvszJgyqAAADEWACgDAUJT4AQAGNniFf4+QQQUAYCgyqAAAo+rxm6T2BBlUAACGIkAFAGAoSvwAAANbwQq/DCoAAGORQQUAGJgMKgAAzEyACgDAUJT4AQAG1fE+qAAAMDsZVACAga1gAlUGFQCAsQhQAQAYihI/AMDANEkBAMDMZFABAAa2gglUGVQAAMYiQAUAYChK/AAAA9MkBQAAMxOgAgAwFCV+AIBBdXTxAwDA7GRQAQAGpkkKAABmJkAFAGAoSvwAAANbwQq/DCoAAGORQQUAGFVrkrrZquqUqrr30uMnVNWjduc+AADYt+3uDOopSa5J8p4k6e4X7+bxAQDYx203g1pVb6qqC6vqkqo6fWn5qVX1gaq6qKrOqarjkjwhyVOq6kNVdd+qOqOqnjptf25V/V5Vvb+q/qmq7jstP6iq/qyqLq6q11XV+6pqw545XACAvUvPeJvLjmRQf6a7r6qqA5OcX1VvzCKwfUmS+3X3ZVV1+LTNi5Nc093PS5KqesDa/XX3SVX14CT/O8kDk/xCks93992q6q5JPrS7Dg4AgL3PjgSoT6qqh0z3j01yfJIjk7yjuy9Lku6+agf39+fT1wuTHDfd/4EkfziN8+Gqunh7g0yZ3EU299CDd3DXAAB7l44mqW9SVadkkeU8ubvvnuSDSQ5IUtm1zO/109ev58bguHZ2kO7e2N0buntDDjpgF6YBAMCotncN6qFZlN+vrao7J7nXtPy8JD9YVXdMkqo6fFr+pSSH7OQc3pXkYdM4JyT5np18PgAA+5DtBahvTbL/VHb/zSTvTZLu/mwWJfY/r6qLkrxu2v7NSR6yuUlqB+fwwiRHTvt4WpKLk3xh5w4DAGDfpElqje6+PsmDtrLur5P89Zpl/5TkbkuL3rm07pSl+5ty4zWo1yX5qe6+rqrulOScJP+yw0cAAMA+ZYRPkjooydur6pZZXI/68939lZnnBAAwhFVskpo9QO3uLyXxvqcAACTZzR91CgAAN9fsGVQAALZuBSv8MqgAAIxFBhUAYGCr2CQlgwoAwFAEqAAADEWJHwBgUHN/otNcZFABABiKABUAgKEo8QMADEwXPwAAzEwGFQBgYCuYQJVBBQBgLAJUAACGosQPADCq1iQFAACzk0EFABjYCiZQZVABABiLABUAgKEo8QMADKqjSQoAAGYngwoAMLAVTKDKoAIAMBYBKgAAQ1HiBwAYmCYpAACYmQwqAMDAVjCBKoMKAMBYBKgAAAxFiR8AYGCr2CQlQIXtqDPmngGwVp8x9wz2Ln6PsbcRoAIADKqjSQoAAGYnQAUAYChK/AAAA1vFJikZVAAAhiJABQBgKEr8AACjaiV+AACYnQwqAMDAVjCBKoMKAMBYBKgAAAxFiR8AYGCapAAAYGYyqAAAg+pokgIAgNkJUAEAGIoSPwDAwJT4AQBgZjKoAAAD8zZTAAAwMwEqAABDUeIHABjYClb4ZVABABiLDCoAwMA0SQEAwMwEqAAADEWJHwBgUB1NUgAAMDsBKgAAQ1HiBwAYmC5+AACYmQwqAMDAVjCBKoMKAMBYBKgAAAxFiR8AYFStSQoAAGYngwoAMCifJLUbVNWvVNWTpvvPr6q/n+4/oKpeNd1/UVVdUFWXVNWzlp77nKr6SFVdXFXP253zAgBg77G7M6jvSPLLSV6QZEOSW1fVLZP8QJJ3Tts8o7uvqqr9kpxTVXdLckWShyS5c3d3VR22rZ1U1elJTk+SHHrwbj4EAADmtLuvQb0wyT2r6pAk1yc5L4tA9b65MUB9WFV9IMkHk9wlyQlJvpjkuiQvraqHJrl2Wzvp7o3dvaG7N+SgA3bzIQAAjKN7vttcdmuA2t1fTfLJJI9N8p4sgtL7J7lTko9W1R2TPDXJA7r7bkn+KskB3f21JCcleWOSH03y1t05LwAA9h57oov/HVkEoe/IIkB9QpIPdXcnuU2S/0jyhaq6XZIHJUlVHZzk0O4+O8mTk5y4B+YFALDX6Rlvc9kTXfzvTPKMJOd1939U1XXTsnT3RVX1wSSXJPlEkndPzzkkyV9W1QFJKslT9sC8AADYC+z2ALW7z0lyy6XH37lm/WO28tSTdvdcAADY+3gfVACAgfkkKQAAmJkAFQBgYKM3SVXVqVX18aq6tKqevpVtHjZ9INMlVfWn2xtTiR8AgF0yffDSmUn+SxYfvHR+VZ3V3R9Z2ub4JL+a5D7d/fmq+rbtjSuDCgDArjopyaXd/Ynu/kqS1yY5bc02j09yZnd/Pkm6+zPbG1QGFQBgUJ3Zm6SOqKoLlh5v7O6NS4+PTnL50uMrknz/mjG+M0mq6t1J9ktyRndv80OZBKgAAGzNpu7esI31tYVla0Pq/ZMcn+SUJMckeWdV3bW7r97aoEr8AAADG7xJ6ookxy49PibJlVvY5i+7+6vdfVmSj2cRsG6VABUAgF11fpLjq+qOVXWrJA9Pctaabd6U5P5JUlVHZFHy/8S2BhWgAgCwS7r7a0memORtST6a5M+6+5KqenZV/ci02duSfK6qPpLk7Un+V3d/blvjugYVAGBgo3+SVHefneTsNcueuXS/k/zP6bZDZFABABiKABUAgKEo8QMADGzwCv8eIYMKAMBQZFABAEbV4zdJ7QkyqAAADEWACgDAUJT4AQAGtRMfObpPkUEFAGAoMqgAAAPTJAUAADMToAIAMBQlfgCAga1ghV8GFQCAscigAgAMTJMUAADMTIAKAMBQlPgBAAa2ghV+GVQAAMYigwoAMKiOJikAAJidABUAgKEo8QMADGwFK/wyqAAAjEUGFQBgYJqkAABgZgJUAACGosQPADCwFazwy6ACADAWASoAAENR4gcAGFXr4gcAgNnJoAIADKojgwoAALMToAIAMBQlfgCAga1ghV8GFQCAscigAgAMTJMUAADMTIAKAMBQlPgBAAa2ghV+GVQAAMYigwoAMDAZVAAAmJkAFQCAoSjxAwAMquN9UAEAYHYyqAAAA1vBBKoMKgAAYxGgAgAwFCV+AICBaZICAICZyaACAAxsBROoMqgAAIxFgAoAwFCU+AEARtWapAAAYHYCVAAAhjJEgFpVb6qqC6vqkqo6fe75AACMoGe+zWWUa1B/pruvqqoDk5xfVW/s7s/NPSkAANbfKAHqk6rqIdP9Y5Mcn2SrAeqUZV1kWg89eI9PDgBgLpqkZlBVpyR5YJKTu/vuST6Y5IBtPae7N3b3hu7ekIO2uSkAAHuZ2QPUJIcm+Xx3X1tVd05yr7knBADAfEYo8b81yROq6uIkH0/y3pnnAwAwjBWs8M8foHb39UkeNPc8AAAYw+wBKgAAW6dJCgAAZiZABQBgKEr8AAADW8EKvwwqAABjkUEFABhUR5MUAADMToAKAMBQlPgBAAa2ghV+GVQAAMYigwoAMDBNUgAAMDMBKgAAQ1HiBwAY2ApW+GVQAQAYiwAVAIChKPEDAIyqdfEDAMDsZFABAAbV0SQFAACzE6ACADAUJX4AgIFpkgIAgJnJoAIADGwFE6gyqAAAjEWACgDAUJT4AQAGpkkKAABmJoMKADCwFUygyqACADAWASoAAENR4gcAGFRnNZukBKgAM+sz5p7B3qfOmHsGwJ4kQAUAGNgKJlBdgwoAwFgEqAAADEWJHwBgYKvYJCWDCgDAUGRQAQAGtoIJVBlUAADGIkAFAGAoSvwAAKNqTVIAADA7ASoAAENR4gcAGFRHFz8AAMxOBhUAYGCapAAAYGYCVAAAhqLEDwAwMCV+AACYmQwqAMDAVjCBKoMKAMBYBKgAAAxFiR8AYGCapAAAYGYyqAAAg+pokgIAgJ1SVadW1cer6tKqevo2tvvxquqq2rC9MQWoAADskqraL8mZSR6U5IQkj6iqE7aw3SFJnpTkfTsyrgAVAGBgPeNtB5yU5NLu/kR3fyXJa5OctoXtfjPJc5NctyODClABANiaI6rqgqXb6WvWH53k8qXHV0zLblBV90hybHe/ZUd3qkkKAGBgM7/N1Kbu3tY1o7WFZTfMuKpukeT5SR6zMzuVQQUAYFddkeTYpcfHJLly6fEhSe6a5Nyq+mSSeyU5a3uNUgJUAAB21flJjq+qO1bVrZI8PMlZm1d29xe6+4juPq67j0vy3iQ/0t0XbGtQJX4AgIGN/D6o3f21qnpikrcl2S/Jy7r7kqp6dpILuvusbY+wZQJUAAB2WXefneTsNcueuZVtT9mRMQWoAACj6tmbpGbhGlQAAIayLgFqVR1XVR/eyrqXbv7Egar6tfWYDwAA45o9g9rdP9vdH5keClABACZzforUnFcWrGeAun9VvaKqLq6qN1TVQUlSVedW1Yaqek6SA6vqQ1X16nWcFwAAA1nPAPW7kmzs7rsl+WKSX1he2d1PT/Ll7j6xux+5rYGq6vTNH7mVa3foI10BANhLrGeAenl3v3u6/6okP7CrA3X3xu7e0N0bctABu2d2AAAD6p7vNpf1DFDXHuYKvmkCAADbs54B6rdX1cnT/UckedcWtvlqVd1yHecEADA0TVJ71keTPLqqLk5yeJIXbWGbjUku1iQFALC61uWTpLr7k0lO2Mq6U5buPy3J09ZjTgAAjMlHnQIADMxHnQIAwMxkUAEABraCCVQZVAAAxiJABQBgKEr8AACD6miSAgCA2cmgAgAMbAUTqDKoAACMRYAKAMBQlPgBAAamSQoAAGYmgwoAMLAVTKDKoAIAMBYBKgAAQ1HiBwAYVWuSAgCA2QlQAQAYihI/AMCgOrr4AQBgdjKoAAAD0yQFAAAzE6ACADAUJX4AgIGtYIVfBhUAgLHIoAIADEyTFAAAzEyACgDAUJT4AQAGtoIVfhlUAADGIoMKADCojiYpAACYnQwqsNv1GXPPYO9SZ8w9A4CxCFABAAa2ghV+JX4AAMYigwoAMDBNUgAAMDMBKgAAQ1HiBwAY2ApW+GVQAQAYiwwqAMCgujVJAQDA7ASoAAAMRYkfAGBgK1jhl0EFAGAsAlQAAIaixA8AMDBd/AAAMDMZVACAga1gAlUGFQCAsQhQAQAYihI/AMDANEkBAMDMZFABAAbVkUEFAIDZCVABABiKEj8AwMBWsMIvgwoAwFhkUAEABqZJCgAAZiZABQBgKEr8AAADW8EKvwwqAABjkUEFABiYDCoAAMxMgAoAwFCU+AEABtXtfVB3q6q6Zhef9/Kq+vHdPR8AAPYOMqgAAANbwQTqnr8GtaoOrqpzquoDVfWPVXXa0rpHVdXFVXVRVb1yC8/9zSmj6lpZAIAVsR4Z1OuSPKS7v1hVRyR5b1WdleSEJM9Icp/u3lRVhy8/qaqem+TQJI/tXsWrLwAAVtN6BKiV5Heq6n5JvpHk6CS3S/JDSd7Q3ZuSpLuvWnrObyR5X3efvsUBq05Pslh36MF7buYAADNbxTTdepTOH5nkyCT37O4Tk3w6yQFZBK5bO+XnJ7nn2qzqZt29sbs3dPeGHHTAnpgzAAAzWY8A9dAkn+nur1bV/ZPcYVp+TpKHVdVtk2RNMHGgixwAAA4USURBVPrWJM9J8ldVdcg6zBEAgEGsR4n/1UneXFUXJPlQko8lSXdfUlW/neQfqurrST6Y5DGbn9Tdr5+C07Oq6sHd/eV1mCsAwFBWsMK/5wLU7j54+ropyclb2eYVSV6xZtljlu6/LMnL9tQcAQAYj/dBBQAYmCYpAACYmQAVAIChKPEDAAyqs5pNUjKoAAAMRQYVAGBgmqQAAGBmAlQAAIaixA8AMLAVrPDLoAIAMBYZVACAUbUmKQAAmJ0AFQCAoSjxAwAMbAUr/DKoAACMRQYVAGBQHU1SAAAwOwEqAABDUeIHABjYClb4ZVABABiLABUAgKEo8QMADEwXPwAAzEwGFQBgYCuYQJVBBQBgLAJUAACGosQPADAwTVIAADAzGVQAgEF1NEkBAMDsBKgAAAxFiR8AYGCr2CQlQF0xfcbcM9j71Blzz2Dv45wBcHMIUAEABraCCVTXoAIAsOuq6tSq+nhVXVpVT9/C+v9ZVR+pqour6pyqusP2xhSgAgCwS6pqvyRnJnlQkhOSPKKqTliz2QeTbOjuuyV5Q5Lnbm9cASoAwKh60SQ1120HnJTk0u7+RHd/Jclrk5x2k0Pofnt3Xzs9fG+SY7Y3qAAVAICtOaKqLli6nb5m/dFJLl96fMW0bGsel+Svt7dTTVIAAAObuUlqU3dv2Mb62sKyLU65qn4qyYYkP7i9nQpQAQDYVVckOXbp8TFJrly7UVU9MMkzkvxgd1+/vUGV+AEA2FXnJzm+qu5YVbdK8vAkZy1vUFX3SPLHSX6kuz+zI4PKoAIADKoz9idJdffXquqJSd6WZL8kL+vuS6rq2Uku6O6zkvzfSQ5O8vqqSpJ/7e4f2da4AlQAAHZZd5+d5Ow1y565dP+BOzumABUAYGADJ1D3GNegAgAwFAEqAABDUeIHABjYyE1Se4oMKgAAQxGgAgAwFCV+AICBrWCFXwYVAICxyKACAAxMkxQAAMxMgAoAwFCU+AEABtXRJAUAALOTQQUAGJgmKQAAmJkAFQCAoSjxAwAMbAUr/DKoAACMRQYVAGBUrUkKAABmJ0AFAGAoSvwAAANT4gcAgJnJoAIADKrjbaYAAGB26xqgVtV71nN/AADsfda1xN/d917P/QEA7O2U+Pewqrpm+npKVZ1bVW+oqo9V1aurqqZ1D56WvauqXlBVb1nPOQIAMK85m6TukeQuSa5M8u4k96mqC5L8cZL7dfdlVfWaLT2xqk5PcnqS5NCD12e2AAAz8DZT6+v93X1Fd38jyYeSHJfkzkk+0d2XTdtsMUDt7o3dvaG7N+SgA9ZntgAArIs5A9Trl+5/PYtsbs00FwAABjHa20x9LMl3VNVx0+OfnG8qAADz6xlvcxnqjfq7+8tV9QtJ3lpVm5K8f+45AQCwvtb7baYOnr6em+TcpeVPXNrs7d1956mr/8wkF6znHAEAmNdQGdTJ46vq0UluleSDWXT1AwCspFXs4h8uQO3u5yd5/tzzAABgHsMFqAAALMzdrDSX0br4AQBYcQJUAACGosQPADCwVWySkkEFAGAoMqgAAANbwQSqDCoAAGMRoAIAMBQlfgCAUbUmKQAAmJ0MKgDAwFYwgSqDCgDAWASoAAAMRYkfAGBQHU1SAAAwOxlUAICBrWACVQYVAICxCFABABiKEj8AwMA0SQEAwMxkUAEABraCCVQZVAAAxiJABQBgKEr8AAAD0yQFAAAzE6ACADAUJX4AgEF1dPEDAMDsZFABAAamSQoAAGa292dQP7VpU5618V/mnsZWHJFk09yTWFbPmnsG2zTc+doLOGc7x/naec7ZznG+dt6o5+wOc09gle31AWp3Hzn3HLamqi7o7g1zz2Nv4XztPOds5zhfO8852znO185zzrZvBSv8SvwAAIxlr8+gAgDss1qTFLvfxrknsJdxvnaec7ZznK+d55ztHOdr5zlnfJPqVQzLAQD2Arc85sj+1v/x0Nn2/9lf2XjhHNcIK/EDAAxsFVOJSvwAAAxFgLqTquq2VfWh6fbvVfVv0/2rq+ojc89vb1FVp1TVvZceP6GqHjXnnGAVVdVxVfXhrax7aVWdMN3/tfWd2Xiq6ppdfN7Lq+rHd/d89iZV9Z6557C36iyapOa6zUWJfyd19+eSnJgkVXVGkmu6+3lVdVySt8w3s73OKUmuSfKeJOnuF886G+CbdPfPLj38tSS/M9dc2Lt19723vxXcSAZ199qvql5SVZdU1d9U1YFJUlV3qqq3VtWFVfXOqrrz3BPdE6rqTdMxXlJVpy8tP7WqPlBVF1XVOVMw/4QkT5myz/etqjOq6qnT9udW1e9V1fur6p+q6r7T8oOq6s+q6uKqel1Vva+q9qk3d66qX6mqJ033n19Vfz/df0BVvWq6/6KqumA6z89aeu5zquoj0/l53jxHMJ6tvS65if2r6hXTa+cNVXVQcsPP4oaqek6SA6ef11fPPNfZVdXB0++yD1TVP1bVaUvrHjWdx4uq6pVbeO5vThnVlfr7uzn7PFXPzp1eZx+rqldXVU3rHjwte1dVvaCqJH1WmAzq7nV8kkd09+Or6s+S/FiSV2XxFhpP6O5/rqrvT/LCJD804zz3lJ/p7qumwPz8qnpjFv8EvSTJ/br7sqo6fNrmxZmyz8kiAFsz1v7dfVJVPTjJ/07ywCS/kOTz3X23qrprkg+t25Gtn3ck+eUkL0iyIcmtq+qWSX4gyTunbZ4xncP9kpxTVXdLckWShyS5c3d3VR02w9xH9U2vy6kSwo2+K8njuvvdVfWyLH7Wbvgnp7ufXlVP7O4TZ5vhWK5L8pDu/mJVHZHkvVV1VpITkjwjyX26e1NVHb78pKp6bpJDkzy2V/stdO6R5C5Jrkzy7iT3qaoLkvxxbvxb8Zo5JziaVXyxrNR/cOvgsu7eHDRdmOS4qjo4yb2TvL6qPpTFD+Dt55rgHvakqrooyXuTHJtFwH6vJO/o7suSpLuv2sGx/nz6emGS46b7P5DktdM4H05y8e6Z9lAuTHLPqjokyfVJzssiUL1vbgxQH1ZVH0jywSx+yZ+Q5ItZ/NF8aVU9NMm16z3xgW3pdclNXd7d757uvyqLnzW2rpL8TlVdnOTvkhyd5HZZJB7e0N2bkm/6ffcbSQ7r7p9b8eA0Sd7f3Vd09zeySDQcl+TOST6x+W9FEgHqipNB3b2uX7r/9SQHZvFPwNX7euahqk7JIst5cndfW1XnJjkgi1/ku/LLePO5/HpufJ3WzZzm8Lr7q1X1ySSPzeL63IuT3D/JnZJ8tKrumOSpSb6vuz9fVS9PckB3f62qTkrygCQPT/LE7JtZ+p2yjdclN7X2Z3TVA6jteWSSI5Pcc+lndnu/787P4p/Pw3fiH/V91dq/lftnBX6/3xyr+C+NDOoe1t1fTHJZVf1EktTC3Wee1p5waBbl92una2zvNS0/L8kPToFVlkpeX0pyyE7u411JHjaNc0KS77nZsx7TO7IIQt+RRdb0CUk+NGVdbpPkP5J8oapul+RByeKauCSHdvfZSZ6cqZGPrb4uualvr6qTp/uPyOJnba2vTpebsHhdfWYKTu+f5A7T8nOyqHDcNrnJ77skeWuS5yT5q6lCwk19LMl31KJHIUl+cr6pMAIB6vp4ZJLHTWXGS5Kctp3t90ZvzaLR4uIkv5lFOTXd/dkkpyf58+n4Xzdt/+YkD5maLu67g/t4YZIjp308LYvs4hd24zGM4p1ZXAZyXnd/OovS/TuTpLsvyqK0f0mSl2Vx/VayCPbfMp2bf0jylPWe9KC2+Lrkm3w0yaOn83R4khdtYZuNSS7WJJUkeXWSDdN1k4/MIrhKd1+S5LeT/MP0++7/LD+pu1+fxTX5Z03XRDPp7i9nce3zW6vqXUk+nX3z9zs7yEedsteYmoJu2d3XVdWdsshWfGd3f2XmqQFwM1XVwd19zdTVf2aSf+7u5889r7ntf8yRfcgvzfdRp1c/3UedwvYclOTtU5mxkvy84BRgn/H4qnp0kltlUSn645nnw4wEqOw1uvtLWXS0A7CPmbKlK58xZUGACgAwsFW8GlOTFAAAQ5FBBQAYVGc135hYBhUAgKEIUAEAGIoSPwDAwDRJAQDAzGRQAQAGtoIJVBlUAADGIkAFAGAoSvwAAKNqTVIAADA7GVQAgIGtYAJVBhUAgLEIUAEAGIoSPwDAoDqapAAAYHYyqAAAA1vBBKoMKgAAYxGgAgAwFCV+AICBaZICAICZyaACAAxsBROoMqgAAIxFgAoAwFCU+AEABqZJCgAAZiZABQBgKEr8AACD6ujiBwCA2cmgAgAMTJMUAADMTIAKAMBQlPgBAAa2ghV+GVQAAMYigwoAMKrWJAUAALMToAIAsMuq6tSq+nhVXVpVT9/C+ltX1eum9e+rquO2N6YAFQBgYD3jbXuqar8kZyZ5UJITkjyiqk5Ys9njkny+u/9zkucn+b3tjStABQBgV52U5NLu/kR3fyXJa5Octmab05K8Yrr/hiQPqKra1qCapAAARvWpTW/LGRuPmHEGB1TVBUuPN3b3xqXHRye5fOnxFUm+f80YN2zT3V+rqi8kuW2STVvbqQAVAGBQ3X3q3HPYji1lQtdeHbAj29yEEj8AALvqiiTHLj0+JsmVW9umqvZPcmiSq7Y1qAAVAIBddX6S46vqjlV1qyQPT3LWmm3OSvLo6f6PJ/n77m2/u6sSPwAAu2S6pvSJSd6WZL8kL+vuS6rq2Uku6O6zkvxJkldW1aVZZE4fvr1xazsBLAAArCslfgAAhiJABQBgKAJUAACGIkAFAGAoAlQAAIYiQAUAYCgCVAAAhvL/AyTC0LI3ygXmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# https://matplotlib.org/users/colormaps.html\n",
    "for i, cmap in enumerate([\"Reds\", \"spring\", \"summer\", \"autumn\", \"winter\", \"cool\", \"Wistia\", \"Oranges\"]):\n",
    "    fig = plt.figure()\n",
    "    fig, ax = plt.subplots(1,1, figsize=(12,12))\n",
    "    heatplot = ax.imshow(a1[0][i], cmap=cmap)\n",
    "    ax.set_xticks(np.arange(len(str_tokens)))\n",
    "    ax.set_yticks(np.arange(len(str_tokens)))\n",
    "    ax.set_xticklabels(str_tokens)\n",
    "    ax.set_yticklabels(str_tokens)\n",
    "    plt.colorbar(heatplot)\n",
    "    plt.title(\"Encoder Layer 1, Attention Head %d\" % (i + 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# https://matplotlib.org/users/colormaps.html\n",
    "for i, cmap in enumerate([\"Reds\", \"spring\", \"summer\", \"autumn\", \"winter\", \"cool\", \"Wistia\", \"Oranges\"]):\n",
    "    fig = plt.figure()\n",
    "    fig, ax = plt.subplots(1,1, figsize=(12,12))\n",
    "    heatplot = ax.imshow(a2[0][i], cmap=cmap)\n",
    "    ax.set_xticks(np.arange(len(str_tokens)))\n",
    "    ax.set_yticks(np.arange(len(str_tokens)))\n",
    "    ax.set_xticklabels(str_tokens)\n",
    "    ax.set_yticklabels(str_tokens)\n",
    "    plt.colorbar(heatplot)\n",
    "    plt.title(\"Encoder Layer 2, Attention Head %d\" % (i + 1))"
   ]
  }
 ],
 "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": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}