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path: root/src/notebooks/02b-emnist-lines-dataset.ipynb
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from PIL import Image\n",
    "import torch\n",
    "from importlib.util import find_spec\n",
    "if find_spec(\"text_recognizer\") is None:\n",
    "    import sys\n",
    "    sys.path.append('..')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from text_recognizer.datasets import EmnistDataset, EmnistLinesDataset, Transpose, construct_image_from_string, get_samples_by_character"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "emnist_lines = EmnistLinesDataset(train=False,\n",
    "                                  max_length = 34,\n",
    "                                  min_overlap = 0.0,\n",
    "                                  max_overlap = 0.33,\n",
    "                                  num_samples = 5_000,)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2020-11-12 08:12:02.064 | DEBUG    | text_recognizer.datasets.emnist_lines_dataset:_generate_data:154 - Generating data...\n",
      "2020-11-12 08:12:05.917 | DEBUG    | text_recognizer.datasets.emnist_lines_dataset:_load_data:147 - EmnistLinesDataset loading data from HDF5...\n"
     ]
    }
   ],
   "source": [
    "emnist_lines.load_or_generate_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def convert_y_label_to_string(y, emnist_lines=emnist_lines):\n",
    "    return ''.join([emnist_lines.mapper(i) for i in y])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "One of the reporters called to him_______________________________________________________________\n",
      "and reproduce what_______________________________________________________________________________\n",
      "plasma arylesterase against inactivation by urea_________________________________________________\n",
      "bar while the sleekheaded bartender absently polished a glass Looking the setup over_____________\n",
      "many areas of need in this amazing_______________________________________________________________\n",
      "mulch over the seedlings now we must use a heavy one_____________________________________________\n",
      "it later turned out that masked__________________________________________________________________\n",
      "the Homeric poems appear oral compositions Yet they are written at some stage in_________________\n",
      "through our growth studies we have_______________________________________________________________\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mL1N9+/bl2NhY7tmzp2nZkCFD+NKlS7xt2zYeMmQIe3t782OPPcYZGRn81ltvNRu0sbOz40WLFvGQIUPadYHGjx/PKSkpPHHiRHZ0dOT+/fvzmTNneO/evdy/f39TkEGr1fInn3zCn3zyiUWQSqvV8tq1azksLMz0MqzRaHjevHl8/fp1XrNmDQcEBLCbmxuvXbuWT5w4wX5+frfV1rCwMM7MzOTVq1dzYGAg+/r6clhYGBcWFvL48eNN9VQqFT///POcm5vL69at4549e7KrqyuvWrWKk5KSLPr/4Ycf5tOnT3NYWJgpqHby5Ek+fPgwDx06lBUKBSsUCu7Rowfb2tpatEehUHB4eDhv2rTJ4vo3vk47d+7kb775pk0vtffffz+Hh4ezvb39bV9TIuKwsDCOjY01tbstASh/f38+d+4cL1u2jHU6ncU6pVLJ8+bN48TERPbw8LDo69mzZ3NUVFST4GXj0r17dy4qKuLo6GirgSOtVstPPvlki0EQBwcHHj9+PB8/fpwXLVrE/fv35+nTp/Pp06ctnoUxY8ZwQkICBwUFsVarbdP5t1T8/Pys/vsxduxY3r9/v0WAt+He8PDw4OXLl3NCQgJPmzaNg4KCOCoqig8fPnxHAhyhoaE8b948iyBk46LT6Xjy5Mm8e/duzszM5IKCAk5LS+MZM2YwEbG/vz+fOXOGX3rpJVapVOzq6srR0dGckpLCM2fObBKQtLOz44ceeogPHTrEUVFRPHjwYB41ahSfOnWKJ0+e3O5+liJFihQpUqRIkSJFyr+9WA3a3PKcNgqFAv369cPo0aOxcOFCDB06FAAQGBiIbt26Qa1WW93O29sbL774IrZv3241jWrgwIHo168fSktLcfjwYRQVFSEpKQm7d+/Gn/70JwQFBYGIEBQUhIEDB2LXrl1ISUlBdXU1oqOjsW/fPoSFhWHSpElQKAynpdfroVAooNFoLI51/fp12Nvb43/+538s2qdUKrF+/XqcPn0afn5+iIiIgLe3N65fv2417UelUuGZZ55BVVUVjh8/fqtdaaLT6TBu3DhcvHgRe/fuRWlpKVJTU7Fq1Sr07NkTr776Kjp3NoySYmbU19dDrVaDiEz7qKqqwrVr1zBs2DDY2NgAMKRsjBw5Eo6Ojvjhhx9w4cIFFBQU4NNPP4VOp8PEiRNhZ2d3y+319/dHXl4eNmzYgKysLDzwwANYvHgx7OzskJeXZ6rXqVMnjBw5Es7OzkhOTkZ6ejoKCwsRHR0NhUKBSZMmQafTQaPRYOzYsSgsLMQ333yDwsJCXLhwAStWrICbmxsiIiLQpUsXqFQqzJkzB9OnTzddYwCor6/HZ599Bn9/f4wcOdK0XKlUIjg4GGPGjMHixYvxwAMPgIhw7733ws/PDyqV9exAPz8/PPfcc9iyZQvKy8tvuX8aMDMuXLgAd3d3dO/eHfX19c2m42i1Wjz00EOYPHkyFi9eDB8fH2i1WvTt2xeenp4W11qv10OtVkOpVJqW1dXVISsrC8HBwXBxcWmxXQ37unLlitX7+ubNm9i8eTOuXr1qdXsfHx+sWbMGYWFhiIiIwDvvvIPs7GyEhITAy8vL4p7KyMiAnZ0dgoKCWjz/tho3bhzCw8Nha2trsfy7775DYWEh/vrXv5r6RaFQYODAgfjoo4/Qo0cPzJ49G9HR0VCpVAgJCYGrq2uz90BbBQYGYsKECdiyZUuTNLaGNvTp0wdvvvkmoqKiAADh4eGIjIzEqFGjEB0dDWZGTU0NamtrMXr0aLi7u2PEiBEICQnBsmXL8OGHH1qkXbm4uGD58uUIDw/Hhg0b8PrrryMtLQ2DBg3C3XffDZ1O165zEkIIIYQQQnQctxy06dSpE1auXIm33noL06ZNg6enJ1xcXDBr1ix8+OGHePDBB5tso9VqMW3aNJSXl6O4uLjJepVKhQceeAB6vR7ffPMNKioqAACVlZWIjo5GfHw8NBoNlEolfve734GIkJSUZNr+ypUrWLFiBS5duoTx48eb5g0BDC9NnTt3tnjp7dq1Kzw8PHDjxg3TstOnT6OoqAgff/wx9u3bh82bN6NLly64efMmzp4926TNRIT+/ftjxIgRSEpKstj/rfL09MS9996LU6dOmYIENTU12LJlCzZv3ozg4GD069fPYhsXFxeLF1edToc+ffrgxo0bphfxLl26oEePHkhKSsKPP/5oqpuSkoK1a9eirKzMIvjRVgcPHoSHhwe2b9+OAwcOYOXKlbC3t0dubi6uXLliqufj44PevXsjNTUVJ06cML2wp6WlYe3atSgqKoJCoYCrqyv69euH06dPm+4PvV6PnTt3Yt26dejVqxdCQkJQW1uLf/zjH5g0aRIefvhhKJVKqFQqODg44OLFi1i1ahXGjBkDb29vAIb5a9577z28/vrr+Mtf/gJXV1d4enpizpw5+Oijj9C/f/8m52Zvb4+ZM2ciJyfHdB+2x6FDh/D3v/8dCxcuxJw5c+Dh4WG1XlBQEDZu3Ij58+dj7NixAIDg4GAsX74c7733Htzd3S3q63Q6ODg4mH6r1WoEBgZCr9c3mdPEz88PTz31FHr27AkiwoABA0BE2Lt3b7NBlObuZxsbG0ybNg3jxo1DdXU1UlNT0b17d8yaNQvDhw/HiRMnkJ6ebqqfkpKCN954A2FhYVi6dCl8fX3b9axs2rQJffr0wdNPPw2NRgMigqOjI0pLS/HWW2+hb9++pmBs586dMWfOHAwbNgwXLlxATk4OgoOD8corr6BXr174+uuvrf571Faurq548cUXcfbsWatzWTk7O+PZZ5/F6tWr4eLigunTp2PChAn44osvUFBQgN69e5sCPYWFhThy5AjuueceDB8+HDNnzkRycjKSk5Mt5tRSKBQYO3Yspk6dCp1Ohx9++AFeXl6YNm0apkyZgvT0dHz//fd3dB4oIYQQQgghxK/oVtOjlEolT58+nWfOnMmzZ8/mjIwMHjBgADs4OLCfnx+7ublZDPFpSOe4fPky79+/n+fOndtkGJBOp+PvvvuODx48yF5eXk3WN6QmqdVqjoqK4gMHDljMm9FQZ9y4cZycnMx9+vRhwJBy9fPPP/OaNWtMaSAqlYpfe+01PnXqFPv7+5u2JyIOCQnhTz/9lI8ePcqvvfYaL1myhJOSkqzOVRMYGMhnzpzh+Ph4jo2NbXU+lZbKoEGDOD093TS/hXnx8fHhuLg4nj9/PiuVSraxseF3332X09LSuFu3bqZ6AwcO5HPnzlnMdTN27FguKSnhiRMnNknvakg3up32qtVqnjhxIm/fvp0PHTrEM2fO5M2bN3NMTIzFHCnDhw/nkpISnjp1apM0HCIyHb9379585swZnjhxYpNjubq68ldffcVRUVGs0WhYqVSa0nKefvpp9vf3502bNpnSj7Zu3covv/wyKxQKVqlUPGvWLH7mmWd42bJl/Msvv3BQUBB36tSJu3Xr1iSVSqVScUREBF+4cIEPHDjAM2bMuCPD3FQqFffo0YNXrFjBX331ldW0NCcnJ169ejWHhIRwbGws79mzh93c3NjZ2Zm7d+9uSr1RKBT87LPPcnZ2tsU8J76+vnz48GFetWqVRfqYu7s779q1i8+dO8cxMTE8depUTk1N5WvXrnGXLl2sttfDw4MXLlxokX7VUBwdHXn//v1cUVHB//znP3nu3Ln89ddf84EDB3jt2rU8ePDgJqk5CoWC/f39ecmSJbxnzx7T89me5yUxMZGXLl3K7u7uvGHDBg4JCWGVSsVLly7ljRs3so2NDQcGBvLly5e5qKiIN27cyMuXL+cDBw5wbGwsR0ZGNnv+bSm2tra8fv16PnfuHMfFxfHIkSMt1iuVSl6yZAknJCTwkCFD2M7OzrSuR48enJiYyH/7298s7pEFCxbwjRs3+NKlS5yXl8fjx49v0pdqtZo3btzIlZWVfOrUKZ47dy5v27aN4+Pj+eOPP+bhw4e3OreYFClSpEiRIkWKFClSOmSxmh51y7kBer3elGIwe/ZsZGVlISMjAzdu3LAYudJArVZDrVYjPDwcQ4YMsTp6QavVwtXVFWfPnkVBQUGT9Q0jR+rr65GdnY1HHnkEXbp0wU8//WSqw8y4du0aKioqTOkB2dnZSEpKgo+PDzQaDSorK+Hn54dBgwZh5cqVFqNCmBmJiYk4duwYbGxsUFNTg0WLFiE3Nxc3b95s0iYvLy98/vnnuHr1KsaMGdPqF6ZaUlhYiJqaGvTq1QuJiYkW/2tfXl6OzMxM05efampqcPDgQTzyyCPo3LkzLl68CFtbW4wcORJHjx7F119/jfr6ehARvLy8UFtbi/T09CZpMM195aktamtrsW3bNnz55ZfQaDTQ6/V4+OGHcf78eVM/EBE8PT1RX1+P9PT0Jl++MQsEorS0FJWVlejVqxfs7OxQWVlpqldZWYmMjAzT13FqamqwY8cOXL9+HQsWLMCwYcPQu3dvfP7554iMjERubi4effRRvPfee6iqqsL69euhVCqxfPlyXLp0CZmZmSgrK7P69aiGL5ItXboUf/zjH9uVGmWurq4O6enpiIiIQGRkJEaPHo01a9ZY1CkpKcGSJUtMI4dOnDiBoqIi1NfXW4wGqa+vN63z8fEBEUGpVCI0NBRlZWVYv3696atSRISnnnoKvr6+GDFihGk0zy+//IKSkhKr9zUAuLm5ISwsDEeOHGny5Sy1Wo1OnTrh7NmzmD9/PnJycvDtt9+ioqICRUVFqKysbDLKo76+HpcuXcLbb7+NhQsXYvLkyVi6dGmbvkxlzfHjx/Hcc89h8eLF+OCDD6DT6bBp0ya88847KCgowOTJk+Hm5gatVgsbGxt8++23ePXVV1FfX4+YmBgUFxejtLTUajpTW+l0OhQUFGDZsmWYMmVKk75UKpXo1q0bPvnkE5w6dQrMDG9vbwwYMAALFixAUFAQ/v73v5vq6/V6pKamorq6Gr6+vjh27BiSkpKa9KVSqYSTkxOys7Mxf/58/Pzzz4iNjUVNTQ0KCgpw8+bNdj3bQgghhBBCiI7l1nNjYEjdqaysBBGhsrKyxZevqqoqrFq1CqmpqXB3d8fu3bub1OncuTM6d+6MkpKSFl849Ho9vv/+e9ja2mLBggXo168fPDw84ODggF69emHatGmora1FRkYGAMML/65du3D//fdj2LBhGDhwICIjIwEACQkJVttdW1uL8vJyqNVq9O/fHwcPHrT6chsfH481a9YgODgYO3bsQGlpaWvd1qzs7Gz89NNPmDp1Kv785z+ja9eucHR0hLu7O8aMGYMhQ4aY0iSYGSdPnkReXh4mTZqEnj174oUXXsDo0aOxd+9e09wXGo0G3bp1Q01NTbMv5+3RMA9HeXk53Nzc4O/vj4SEBNP1U6lUCAgIQF1dXatpRvn5+Th58iSeeOIJTJ48GX5+fnBycoKbmxtGjBiBxx57DD/++KPpJVuv1+PgwYOYMWMGcnNz4eLigsrKSkycOBEhISH49NNPTYGv6upqVFVVme7Vlu6viooKREZGIjMzE1qtFvHx8XekrxrSgezs7BAQEGA1MAkY5pJpCHq1dM0uXbqE5ORkTJgwAX369MGECRPw0ksv4ciRI7h06ZKpnr29PcaMGYPo6Gg4ODhg4cKF2Lp1KzZs2ICamppmU2gKCwtNz0BjDZ92VygUqKioQHFxMa5du4bi4uJmPyPfcP4ajQa9evVCfn5+u9J3mBlnz57FCy+8gMOHD8PLywvV1dUIDg7GjBkzsG3bNuTn56OoqMgU8CovL0d+fj5ycnLaHbABDH306quvorq6GqWlpfj+++8t1tfW1iI5OdnU5zExMYiPj8f69euhUChw/vx5i5RFZsbly5dRVlaGoqIirFmzxiKobL7fhrmGqqurUVJSgpycHBQUFKCiokICNkIIIYQQQvyXue1ZOJkZ+fn58PT0hJOTk8VEmY3V1tYiNDQUX375pdXJTb29vcHMOHr0aKsjVpKSkvD+++/jpZdewq5du5CTk4Pr16/j7rvvxvXr17FkyRLk5+eb6h85cgQ//PAD1q1bB6VSiaysLMyZM8eijjUuLi4ICAjA+vXrrb5g6vV6+Pr6QqlUYufOnS3uqzXl5eVYsWIFoqKisGbNGpSXl+PixYvQ6XTw9PTEBx98gAMHDpjakZeXhy1btmD+/PkYNWoUiAjvv/8+vvvuO1MdW1tbeHt7IzU1FdeuXWtX+1rj7+8PnU6Hy5cvm5bZ2NjA29sbaWlpyMzMbHH7mpoavPvuu/D09ERERAQWLVqEixcvQqPRoGvXroiOjsaOHTuavJBevXoVS5cuxZYtW1BWVoaSkhJotVrk5eVZ1GVm5OXlYdiwYXBwcLA6yqZBXV0dQkND8dlnn7V6j7SFu7s7QkNDkZWVhSeeeALFxcXYtWtXs/X1ej2Kiopwzz33QKVSWZ0r5ebNm4iJiUFkZCT27NkDjUaDr776Chs3brR4fhomBC4sLMS6detw+vRpREREoFevXqivr4dWq7X63Gq1Wmi1WqtBm+rqamzfvh3PPfccIiMjkZaWBjs7OyQkJGDPnj1NAqGOjo4YMWIELl++jMcffxxarRZbt269I8GF4uJivP/++/j2229ha2uLjIwMODk5oaCgADU1NcjLy8P27dvx6KOPIioqCnl5eSAibNmyBampqe0+PgAMHToUGzZsaDLKkJmxfft26HQ6dO/eHUSEhIQEHDx4EKdOncKwYcOa/FuYm5uLjIwMODs746effmoyNxFguD9iY2PRq1cvLFmyBCkpKbCzs0NycjK++OKLdgejhBBCCCGEEB1Luz6dsnfvXgQGBrZpYtHMzEwkJCRYDYAkJydj9uzZiIuLa3U/tbW12LBhA+Lj4zFq1Cg4OjoCAOLi4rB3716kp6dbHOPatWt4+eWXMWLECLi6umLfvn1ITk5u9aXRzs4Oly9ftghENKZQKEwBg/Y6ffo0pkyZgtDQUAQFBZnO9ejRozh06JBFylBNTQ0+++wz09eCfv75Z+zevdvixbG8vBzvvvsuKioq7kj7WmJra4vU1FSLESQ3b97EBx980CS9pznnz5/H9OnT8fvf/x7BwcEgItTV1eGdd95BXFxcs6lKNTU1Fi/g1r5MxszYuXMnunTp0urEy0SE8+fPIz4+/o5M5qpQKPDggw/C3t4e169fxyuvvNLiqKzq6mp8+OGHGDRoULPPVX19PeLj4zFz5kyEhoaioKAAu3btQm5urkW9yspKFBQUYP78+Vi9ejViYmJQVVWFwsJCjB49GtnZ2Vb3r9FoLCa0NldXV4cdO3bg5MmT8PX1RXV1Nerr63HhwgWrI9eICP369cNjjz2GkpISvPzyy01SrtpDr9fjwoULpt/m90lZWRlWrlyJHTt2wM3NDXV1dSgvL7eo3x4KhQKnTp3CyZMnra7Pzc3FihUrLO65hj66fPlyk/69ceMG3njjDajVatNoQWvi4+ORnp6Ou+++2xTUy8jIsBrgE0IIIYQQQvxno1t5MTVOimlBpVJBr9e3+oLbME9Mc/UUCsUt/++7SqUyvRDV19e3OEpHqVRCoVBY/d9raxrm7iguLm62XUql0hRcuFMUCoXpM8TMbEqJsoaITP1vrY0NL/3/6i/J2NnZwcbGBqWlpRbHup3j38r536pbuVfv5IiFhs+z6/X6Ns3j0jBPTVvuK5VKBWZudr/+/v6wtbW1Oq9QS/t0d3dHfn5+m5+X1vbX8HzfyWelI7jT94oQQgghhBDiNyuJmZt84vhWgzb5AJpOtCCEEEIIIYQQQgghbldXZu7ceOEtBW2EEEIIIYQQQgghxL/HbX09SgghhBBCCCGEEEL8a0nQRgghhBBCCCGEEKIDkqCNEEIIIYQQQgghRAckQRshhBBCCCGEEEKIDkiCNkIIIYQQQgghhBAdkARthBBCCCGEEEIIITogCdoIIYQQQgghhBBCdEAStBFCCCGEEEIIIYTogCRoI4QQQgghhBBCCNEB/R9WSJqmJxoEsQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x1440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "\n",
    "num_samples_to_plot = 9\n",
    "\n",
    "for i in range(num_samples_to_plot):\n",
    "    plt.figure(figsize=(20, 20))\n",
    "    data, target = emnist_lines[i]\n",
    "    sentence = convert_y_label_to_string(target.numpy()) \n",
    "    print(sentence)\n",
    "    plt.title(sentence)\n",
    "    plt.imshow(data.squeeze(0), cmap='gray')\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "EMNIST Lines Dataset\n",
      "Max length: 34\n",
      "Min overlap: 0.0\n",
      "Max overlap: 0.33\n",
      "Num classes: 80\n",
      "Input shape: (28, 952)\n",
      "Data: (5000, 28, 952)\n",
      "Tagets: (5000, 34)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(emnist_lines)"
   ]
  },
  {
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}