bullseye2d_experiment.ipynb

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   "metadata": {
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import h5py\n",
    "import pickle\n",
    "import json\n",
    "import torch\n",
    "from tqdm import tqdm, tqdm_notebook\n",
    "import os\n",
    "\n",
    "from bullseye import BullseyeData\n",
    "from mapping import *\n",
    "\n",
    "# matplotlib and seaborn settings\n",
    "from matplotlib import rc\n",
    "rc('text', usetex=True)\n",
    "plt.rcParams['text.latex.preamble']=[r\"\\usepackage{amsmath}\"]\n",
    "\n",
    "sns.set_style(\"white\")\n",
    "\n",
    "font = {'family': 'serif',\n",
    "        'color':  'black',\n",
    "        'weight': 'normal',\n",
    "        'size': 14}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate and Plot 2D Bullseye Data samples "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "if not os.path.isdir(\"data\"):\n",
    "    os.mkdir(\"data\")\n",
    "\n",
    "# generate samples and save to file\n",
    "datagen = BullseyeData(1000, 0.075, copies=1, scale_4=True)\n",
    "datagen.make_X_data('data/bullseye2dX.h5')\n",
    "\n",
    "# plot samples\n",
    "fig,ax = plt.subplots(figsize=(4,4))\n",
    "sns.despine(left=True, bottom=True)\n",
    "ax.scatter(datagen.X[:,0], datagen.X[:,1])\n",
    "x0,x1 = ax.get_xlim()\n",
    "y0,y1 = ax.get_ylim()\n",
    "ax.set_aspect(abs(x1-x0)/abs(y1-y0))\n",
    "ax.set_xlabel(r\" \", fontdict=font)\n",
    "ax.set_ylabel(r\" \", fontdict=font)\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"assets/bullseye.pdf\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Learn Mappings of $X$ data for estimating $I(X;Y)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. learn mapping without the proposed information efficiency regularization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "Validation performance didn't improve for 10 epochs. Training stops.\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 576x216 with 2 Axes>",
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SHJwYjv1v15tYMd4X0/fEy3xyKok544s5KURtDb2NWyojenAAwKjXoXFLpWKZiIAUKXAWO29uMBhQVVU16326urrmvM9kRYfOwxfMndf3xMN8cyqFOeOLOdUvGYWHGht6Qz9XTUUXEZAiBU5NTU14GkqWZdTW1iqcCFi33ITXuNkfESF5hYdaG3q3byxhQUOqE1MPTmjIubu7Gz/4wQ/Q3d2d0FCSJMHtdoebi+12O2RZhiRJ8Pv9Sd33ZiYbis2Qr1zHGK9JRZTxZis84knNDb0HO3tQ++TzqPjSIdQ++TwOdvYoHYkyXEwFzv79+wEAu3fvxoYNG/Doo48mNJTNZsPx48cjVlM1NDTAZrPF3HeTaLvvW4cXv3wvdFqN0lGISGHJKjzU2tAbGsHq8Q4giBsjWCxySEkxFTherxfHjh1DQUEBNm/ejPz8/ETnUj1zjh56XUosQiOiOJo6UvHVgy5oNdE/6MS78GjcUgmjXhdxTOmG3oOdPfjCz19NyggW0XzE1INTX1+Pw4cPh5dY1tTUJDRUqvjub99E37UhfPXPNygdhYiSIFqvzU9eOBv1vokoPNTW0Bs6H2PB6FP1apg6o8wVU4FjsVjQ3Nwc7sHhNucT3rncD9FzAV/eVgUtp6qI0l60XptodBoNnqirSUjhoaaG3rnOh9JTZ5TZVNmDkyo2rV4C38AIXudqKqKMEOuIxHgwqJoiJFEOdvagZ5bzofTUGRF7cBbhjoqlAICX3rmicBIiSoZYRyTSfeQiNDU1k0SOYBHFKqYCp76+HqIosgdnirKluSjKz0bn2atKRyGiJIjW5DtVJoxczDY1ZdTr8E+ffG9CNjnkMnSaj5h6cDZv3gxZltHW1oaysjI8+OCDic6VEjQaDe6rWo787JTYL5GIFilak+8965fhN6cuqaLpN1lmm6pLxMiNGndwJvWL6Z350UcfRW1tLR588EF0dHTgoYcewre+9a1EZ0sJT37sZqUjEFESqanJVynFFmPU/psSizEh50atOziTusU0ReXz+XD//fdDEAQ8+OCDSb96dyoIzrBMkogo3SR7Px417+BM6hVTgRMMBnHs2DFcu3YNHR0dMJlMic6VMvquDaH2yeex/7isdBQioqTYvrEET9TVoMRihAYTIzeJbCpW6w7OC8V+ouSIaYqqtbUV3//+97F//37cfPPNaG1tTXSulLE0zwD/4AjcPQu/2jkRUapJ5lRd45bKiB4cIHWbudlPlDwxd8dObix+9NFH8Q//8A8JCZRqNBoNrMVmuM9x2o6IKBHUtoPzYrCfKHkWtPzH6/XGO0dKqy4uwI9fOIPRsXFk8fpURERxly7N3ewnSp4FvRtrZriwXKaylpgxNDqONy/1Kx2FiIhULN36idRs1hGcurq6acVMMBhETw8boibbKCzBpzeXw5DF0RsiNWtpaUFjY6PSMSiDpVM/kdrNWuA8/fTTycqxIH6/H5IkAQBsNhvMZrMiOVYX5aH5I9WK/Gwiio0kSZBlrnYkZaVTP5HazVrgqH05+L59+9DY2Ai/3w+n04mGhgbFsoyMjSMwOIqleQbFMhBRdLIsQxAEpWOoysHOHr7JKiRd+onULiFzKm1tbZAkCW1tbQt+DFEUsWPHjmnHJEmC0+kEgIhPY0p/Mnvg+y/ib37yR0UzEFF0LHAihZYq93gHEMSNpcrcj4XSSdwLnLa2NpjNZthsNgCAx+NZ0OPY7faIr0VRBIDw40qSFPGCpfSLl7AkF2f6riuagShTiaIIp9MZ8V9o+lqSpPDrBk2YbakyUbqI+1UivV5vRLEhSRKsVmv461DBEzrmdDqxdevWOftnXC4Xtm3bBmCimPF4POGrnAOAw+GY8XuHh4fR1dU16+MPDg7OeZ/Z5I3344J/EJ0uD3IS2Gy82JzJwpzxxZyzm/qBaLKCggJIkgS/34/u7m54PJ6I16RMxKXKlAniXuDU19dj//79sNlsUYeFrVZruChxu90xNwcHAoGIr0OFVCwjNwaDAVVVVbPep6ura877zGbT8Dn86MRV5C4rQ+XKxPUuLTZnsjBnfDHnwk3+MMXr6E2Y6WKZXKpM6STuQw2CIKCxsRE+n2/GAsRut4f7aGKdWjKZTPD51Hs5hNWFuQCAd/q4Fw6RGjkcDhw5ciTjR2+A5F8sk0gJcS9wPB4PRFGEIAhwuVxRh45FUQxPKcXaHFxTUxP+9CXLMmpra+MXOg4qivLw9/ZKrF2er3QUIqJZJftimURKiPsUldVqhSzLEEURO3funHa7x+OB2WyG1WqF1WqdsQdHkiS43W6Iogi73Q673R5eneX3+1XXNGjK0eOzH1yrdAwiophwqTKlu7gXOMDsDX9Th4dnag622Ww4fvx4xLHQPjdqK25CegODuBwYxoZiZTYcJCIiogm8tkAcPX6oCw0/elnpGERERBmPBU4clRXm4bxvAMOj40pHISIiymgscOJIWGLEeJB7SRARESmNBU4cCUsnlorLV7mjMRERkZJY4MRRuMC5whEcIiIiJSVkFVWmWmnOwbcct+C28iVKRyEiIspoLHDiSKfVcF8JIiIiFeAUVZydvhDAb071Kh2DiIgoo7HAibMfSm/jC//2qtIxiIiIMhoLnDgrXZKLK/3D6B8aVToKERFRxmIPTpxNXiq+fiUv2UBEFIuDnT1o6TiNc94BFFuMaNxSyZ5GWhSO4MSZsMQIgEvFiYhidbCzBw8fcKHHO4AggB7vAB4+4MLBzh6lo1EKY4ETZ2XhvXC42R8RUSxaOk5jYGQs4tjAyBhaOk4rlIjSAaeo4mxpngE/37kZ65bnKx2FiCglzHR5G172JrnSbZqQBU6caTQa3FGxVOkYREQpo9hiRE+UYqbYYlQgTWYKTROGRtJC04QAUrbI4RRVAri6ffiX372pdAwietftt9+OHTt2oK2tTekoFEXjlkoY9bqIY0a9Do1bKhVKlHnScZqQIzgJ8OLbfXjy8Cl8/LZSFOVnKx2HKOO1trbCZrMpHYNmEBohSKfpkVSTjtOEKV3g+P1+SJIEALDZbDCb1bEsu2rVRI5T5wN43zoWOERK8/v9kGUZgiAoHYVmsH1jCQsaBaXjNGFKT1Ht27cPdrsdNpsNTqdT6Thh61eaAACnLvgVTkJEAODz+VBQUICmpialoxCpUjpOEyZkBEcURZjNZsiyDIfDseDHcDqdaG9vn/FxZVkO3zb5/5VWmJ+N5aZsdJ0PKB2FKCOIogifzxdxTBCE8LRU6HXIZDJBFEXY7fakZyRSs3ScJox7gSNJEgRBgNVqhSRJ8Hg8sFqt834cu90eMSojiiIAhEdrQj8nRG1Dz+tXmfHmpWtKxyDKCLMVLE6nE9XV1Qt6HSLKJOk2TRj3Aqe6uhp1dXVobW2FLMvTGvs8Hg8AhF9snE4ntm7dOmf/jMvlwrZt2wBMFDMejwf19fXhwme2kaLh4WF0dXXN+viDg4Nz3mc+PrcxF3kGbVwfE4h/zkRhzvhizoXbunUrZFkOv1Zw9IYoM8S9wDGbzXA4HNi9e3fUVQtWqzX8QuN2u2NuDg4EIqd7vF4vBEGIaeTGYDCgqqpq1vt0dXXNeR81YM74Ys74UmNOs9kMq9UKq9XK4oYog8S9yViSJNhsNhw5ciQ83z3V5OmnWKeWTCbTtDl2NRsZG0fTL9z42UtnlY5CRESUceJe4Ezuudm5c2fUokQUxfCUUqzNwTU1NfD7/eHvqa2tjVPixNDrtHD3+ND2+7cQDAaVjkNERJRR4l7gOByOcBPw4cOHp/XGeDye8JCxw+GAJEnhwmUySZLgdrsj5s1lWQ7fPxU27fqrzeV463I/pDf7lI5CRESUURLWgzOTqSsZZrqvzWbD8ePHI441NDSEb0sFW6tX4bFfdeFHx95B7doipeMQERFljJTe6E/tcvQ6fOqOMnR4LuJgZ4/ScYiIiDJGSl+qIRXsuncdAOCe9csVTkJERJQ5OIKTYIYsLfZsqUSBUY/BkTH89nSv0pGIiIjSHgucJPr2b97Ajh8exy9fPad0FCIiorTGAieJPvvBtbi9fCkecp7Af7LIISIiShgWOElkNOjQvuN23Fa+BLt+1okv/vuf4Ls+onQsIiKitMMCJ8nysrPw9I47sPMDa/D86V6McRNAIiIiAMDBzh7UPvk8Kr50CLVPPr+oFcgscBRgNOjw8NYq/HbPB7E0z4Bz3gHs+lknfAMczSEiosx0sLMHDx9wocc7gCCAHu8AHj7gWnCRwwJHQXnZE6v0z/sG8azrPL7w8xO44BtUOBUREVHytXScxsDIWMSxgZExtHScXtDjscBRgdvKl+DhbVU40tWLu554Dh/7roRfnODGgERElDnOeQfmdXwu3OhPJf73+yrwwcplePZP53HIdR5vX+5XOhIREVHSFFuM6IlSzBRbjAt6PI7gqMh7luXj8/eug/jQ3fj8hyZ2QPac86Hv2pDCyYiIiBKrcUsljHpdxDGjXofGLZULejyO4KiUTquBfOU6PvZdCePjwJ/dvAp/eVc5jFx1RUREaWj7xhIAE70457wDKLYY0bilMnx8vljgqJiwNBe//Nv34acvnsV//LEbz3T24PYSI74trMFyU47S8YiIiOJq+8aSBRc0U3GKSuXWrTDha39hxQtfvhdf2VaFk71DuBwYBgBcHx5VOB0REZE6cQQnReRlZ6Hh7jXYWDCADcVmAMBnf/oKLvgGsef+Sty3YYXCCYnUy+PxQJZlAIDdblc4DVFqO9jZE7dppETiCE6KyTPc+JN9eMMKjAeDaPjxy/j+H95CkP05RFHt27cPdrsdPp8vXOgQ0fzFezO+RGKBk8IeuLMc//m374PduhJfP9SFra1/wJk+Li8nmszpdKKmpgayLMPhcEAQBKUjEaWseG/Gl0gscFJcjl6Hb3/qVrR8/GYU5huwsmCi+fjfXpbx4xfOoH+IfTqU2c6ePQuv14uCggI0NTXB7/crHYkoZcV7M75EYg9OGtBqNfjEJgGf2HTjk+m/vdyNl965gqeld/DdB27FuhUmBRMSJZYoivD5fBHHBEGAzWYDAJSVlcFsNsNqtcLpdKKhoUGJmEQpL96b8SVSShc4fr8fkiQBAGw2G8xms8KJ1MO58y789xuX8dD+E/jwN3+PNUV5+NpfWHH3TcswPh6EVqtROiJR3MzWOFxTUxMufvx+P18niBahcUslHj7gipimWsxmfImU0lNUocZBm80Gp9OpdBxV0Wg0eP+6ZTi8+/1o3FKJ9yzPx9I8AwCgw3MBH9r7W7T9/i1c6R9WOClRYtnt9ogPQw6HQ+FERKlr+8YSPFFXgxKLERoAJRYjnqirUeUqqriP4Hg8HuzevTv8KWnz5s1obGyc9+OIogin04n29vaIY2azOdwsOHk1BFdGRLfcnIPP3bM24lhBrh6F+QZ849kuPHG4C7eWLcGm1UvRuKUSOq0GwWAQGg1HeCh9hKakQlNWRLRw8dyML5HiXuD4fD4cOXIEwESxs9DhYLvdHjEqI4oiAIRHayRJilgNwZURsbO9pwi29xSh67wfh90X8LvTvejwXMCXtq4HAPxf5wkEBkex+T2FqCjKw9h4EIX52bitfInCyYmIiGIT9wJn8ickWZanzY17PB4AgNVqBTCxhHPr1q1zFkIulwvbtm0DMFHMeDwe1NfXhwuf2Yadh4eH0dXVNevjDw4OznkfNYh3zq2lwNbSQowHg+HHzQ1ehyRfw3OnesP3u63YiK9/eBUA4JtHL6HcoscSYxbe6BvCWDCIO0pzcWtxLgBgPBjE8NBQRp7PRGFOIqL5SViTsdPpjFp0WK3WcFHidrtjbg4OBAIRX3u9XgiCENPIjcFgQFVV1az36erqmvM+apCMnI9XAY8D6Ls2hDNXrsOg08Kco0dZYS7Gx4M49csL+K83Jv4ehiwtsrO0qCxfhaqqtZCvXMfH/0WCtUiPDeW5KF1ixDJTNm4RLCjMz0ZgcASXrw2jfGkutFoNhkfHcdE/iGWmbOTodRgdG8fpiwH88cxVVK4w4Y6KpVGny0bHxuEbGEFhfvaiflf+3eMrVXISUfpLWIFz9OjRGUdV7HY7mpqaYLVaY55aMplM05aBUmIV5mdPKyC0Wg1+/9F+UUMAAAvBSURBVPf34LxvAFf7R7BuRT70Om14F+Wh0TG8t9SCE2f68Nu338D4u5sr/3DH7fhg5XL84fXL+OxPX4Fep0F2lg7Xh0cxHgR++bfvQ01pAX4ovYOvH7oxArB+pQl/eVc56m8XkKXTovPsVWg1Gvz9v/8Jpy8GUF6Yi+/91SZUrjShf2gUo+NBjI6Nw5SjhyFr9h76sfEgxsa5+zMRUTpKSIEz10ZaoijC4XDA7XZDluWYipyamprw48qyjNra2rhkpYVZVWDEqoIb+x6ERlnWLjfhe5/ehK6uLqy7qRIX/IO4fG0YFUV5AICNZRb848duxluX+zE8Oo68bB1KlxixZtnE7XetKcQ/f/K9uK18CV54qw8/OnYGPz52Bg/cWYbBkTF8+gcvITA0isI8Ax66bx1ev3gNq4smpsZaOk7jh9I7AACDTot1K/KxJNeAnzx4JwDgS//xJxxyncdKcw6W5hng7vFhRZ4Oz1s3AAB2/vhl6HVaLMk1oMCoR45ei7XLTbBXr8TgyBhan3sdppwsrFtuwjJTNi4HhrC6KBdrl5swODKGfz36Nm4RLBgcGUNgcBQDw2OoXVsEYWku/IMj6PUPwmjIwluXruHslesoys9G7doi5Gff+GcoX7mOUxcCGBgZQ01JASqK8uAfHMFzbwZQtmYUedlZGB0bR5buRvHWPzSK0xcDKMrLRrElJ+I2ALjaP4zewBBWmLNhyTVM+1tObSrvvnodz5/qhd26EsvN879q/esXAyjI1fOK90QZSi3XqkpIgePz+WCxWKLeFmo8tlqt4U23ovXgSJIEt9sNURRht9tht9vR1tYGSZLg9/u5GiIFZOm0KF2Si9IlueFjqwqM+OTtMxe01SUFqC4pAACUF+bhk5sEeK+PQKPRwKDTou2vN+GE7EXdrSXT3kDv37ACpUuM0Ou0OOcdQNeFAHL1uvDtVavM0Ou0OO8bxKVrQ9i+sQSr9Dc2rBoPAp5zfnivD8M3MILxIPCJ20phr16J7CwtfvrCGfgHI3eGbnh/Bb7yZxvwquzFP4rTtyr/189sgrA0F9Ibffg/P/njtNsP7XofrMUF+MWJHnzz16/hnb7r4dty9Fr88asfRr4hCz93ebHv+HPIy87CBf8ghKVGNH+kGvdULsdrFwOo+87EEmidVoMSixHlhbnYfe86bFq9FL9ynccjB93QaICblptgyNLiSv8wfv13dyPXkIV/+q/X8LT0DvKyszAyNo6+/mG8t7QAD9xZDt/1Efzu9Us4c7kfZ65ch06jwQpzNrbdvArrV5px0T+I/zxxDj3eAQyPjePVt3tx8tJb+O8vfggA8JtTvfjD65fx4tt9OPi5Wuh1Kb0zBRHNIXStqtA+OaFrVQFIepGTkAJHEAQ0NzdHvS3UXBwy0zSWzWbD8ePHI45xqWfm0Wg0WPLu/j1arQZ3rSnEXWsKo97XtrYItrVFMz7WX9tWTzs2uSG27dObwv8/Ph7E6KTpK41GgxNN9yMwNIq3L/ej79oQsrN0uKNiKQDgzjWFePHL9+KN3mvIy85CfnYWjAYdCt/NfmuZBa31t+D68BjKluaioigPfdeGsbowL/wzKory8MCd5bijYikMWVp0Xx1AXnYWgsEgHrItw7FeLcbGgyi2GPF2Xz8u+YcAAOtXmvH9T2/Clf5hnLnSj7NXBnD2yo1C6e51Rfj2p27FW5eu4eUzV6HVAOtW5OP68BhyDVm4tdyCa0Ol6B8ahSFLi5IlRvyPm4uh02rQGxjErp91AgBWmLMxHgQuXxvC+lVmrF9pxpu91/CNZ7tgys5Ctl4Loy6Ir2yrwgrTxNTmIdd5/OJED96/bhmu9g8vaESIiFLHbNeqSosChyjVabUaGKbs9qzValBg1OMWIfro5ApzDlbM8Aa+3JyDj9wS+Y978tbmH7mlZNrtVasmRjU1Gg2qlueg7gPRm3eNBh3u27Bixt+lvDAP5ZMKqak+tH4FPrQ++vevLspDx0N3o2xpLoyGidGw0bFxhEq/W8uX4NWm+1GQqwcQajJeE/7+lo/fjCfqajhyQ5Qh1HStKr7qENGM9DotKleawsUNMDH1GCpYcvS6cHETjUajYXFDlEFmuiaVEteq4isPERERxUXjlkoYJ/U+Aspdq4pTVERERBQXoT6btF1FRURERJlJLdeq4hQVERERpR0WOERERJR2MmKKqqenB3V1dUrHIKIY9fT0KPZz+VpBlFpmer3QBEMXESIiIiJKE5yiIiIiorTDAoeIiIjSDgscIiIiSjsscIiIiCjtsMAhIiKitMMCh4iIiNKO7mtf+9rXlA6hJFEU0dvbC0mSUF1drXScCH6/H2+88QZeeeUVPPPMM6itrQUA3H777Th27BguXbqE2267TeGUE6JlUtu59Xg8+NSnPoWDBw/C6XTi7NmzqK2tVdX5FEUR3/jGN7B9+/aIY1PPo9LndmrOVHquEtEEpV9HEi2jR3BEUQQA2Gw2AIAkSUrGmebw4cNwu92w2+0AAKfTCQBobW1Fe3s7GhoalIwXYWomNZ5bn8+HI0eO4MCBA3jsscdQX18PQF3nM/S3Dol2HtVwbqfmTKXnqtIkSYIkSWhpaVE6Stz5/X54PB6IopiWv58oitixY4fSMeJCDa8jiZbRBY7L5YIgCAAAQRDg8XgUThTJ4XDA4XAAAGRZDmf1+/2QZVnJaNNMzaTGcxv6hwyo/3yGRDuPajy3qfRcVZLH44HH44HNZsPJkyfT7tzMVOimi6mFfSpT4+tIvGV0gRMIBCK+9nq9CiWZnSzLsFgs4Tdon8+HgoICNDU1KZzshqmZ1HxunU5nxAuVGs9nSLTzqOZzmwrPVSVZrVY0NDTA7/dDEITwG0y6mKnQJfVR8+tIvGR0gWMymeDz+ZSOMSdRFNHc3Bz+2uFwwGw2w2QyhYcZlTY1k5rP7dGjRyO+VuP5DIl2HtV8blPhuaoGbrc7rd/8pxa6pD5qfh2Jl4y42OZMampq4Pf7AUz8gww1RqqJKIrh/gWPxwO3243q6mpYrVaFk93gdDqnZVLruQ1lComWXU2inUe/36/Kc5sKz9VkEEVx2huHIAgRb/Y2mw2iKEIUxZSb9ojl95ta6KaKWH63dKHW1+h4yugCx263o62tDZIkwe/3q+5JLEkS9u7di+9973sAgD179mDr1q2QZTn8aVgNL44zZVLjufX5fLBYLOGv1XY+JUmC2+0Ov/HN9BxV+txOzZkqz9VkmO33bGlpQVlZGRwOR8p+gp7r7zi10E2lAjdTnqOA+t//4oFXEyciShJZlsONxak6yjEbSZLQ1NQEs9kMYKLQTac3TkmSsHv3bjz22GMZVQylKhY4RERElHYyusmYiIiI0hMLHCIiIko7LHCIiIgo7bDAISIiorST0cvESXl+vx/33nsvNm/eHD62c+fORS0t9Xg8ePbZZ9HY2BiPiERElIJY4JDiBEHAU089pXQMIiJKIyxwSJVkWUZTUxMEQYAkSWhvb4cgCNi1axcAwGKxROwh0tTUFL6Wys6dO3Hs2DE0NTXB7XbjwIEDkCQJ+/fvh8VigcPhSKnNx4iIaP64Dw4pKjRFtXXr1vCx5uZmyLKMtrY2NDc3QxRFuFwuWCwWWK3W8Db3Pp8PDocjfMXi0EX+PB4P9u7di/b2drS0tKC2tja84246bTpGREQzY5MxKU4QBDQ3N4f/m8pms+HkyZNwuVyorq4GMHFVZo/HA2CioAkdn/yYAMKXZWhoaEBbWxvq6urCO8kSEVH6YoFDqidJEgRBQE1NDSRJAjCxzX2oiBEEAW63e9bHEAQB7e3t2LNnD69qTUSUAdiDQ4rzeDzYtWsXAoEAAIR7ZNxuN5qamiDLMlpbW2E2m7Fr1y4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     "metadata": {}
    },
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k7OJMYOPNCFtGIQ+cIAguKt6r+z2izFPRZMA2LU9mp6Vt3UTeq7Pw1pdff4urv/2mLmP16Ypa9xxWCsAtI01cuxdqCYCwZRQy4ARBcFEJP+RFq/AkGVEUSaFYEja+YOVfAXksOFBdDbgbPZc0Wp85SwE45aGwS/2GfTySUAiC4MKTQ5zoRKv4SWaxsTYZOCNMwoYXK16yyjiRnUbMR81wGWEn9ZABJwiCi9tw9nabSCbMhoqJKnhNBjycIYdObTrMBsi93aY0oiTs/pdhJ/WQhEIQhJCghbicxwHWtHEvs8jz7lmECK8lmp+My2Si2tZOpaWd8/i9qxujunW+Y0b4yTzkgRME0RRUvWied+/sGARUjanheP/RA33a42FdkVRWB07jffa1fpx9rV+7TnsU5dDJgBME0XRE4YYfZvbi5qmXGzxVXhSLjWqH+vvFEm7cfYCDnD6VZtwQVg90Z3GqVBl8uGxh7NMZANU4dF3CDiMkA04QRNORdSHiIQwjtNdCCf9lfhHHDvTVHXPip3sw/nq/UlekrZvVDLJVtjFx7V5dX1NVRD1J/UIaOEEQLUFHX1epaliyyrhx90Fd6VcnXl2RdEL82HF0syvDzsYkA04QRNujGg1yv1gS1nbxmix0DDI7rm6VR6Aqo4S1mUkSCkEQbY9q6GBPwqxtdjJpZezTGew994Vn2r1OqGOhWMLEtXs4si9Vk2xUtzTHL88pvtMbMuAdSG6qgIPnr3s+kASxXhg7vAtmTG4iE2YchoEGj9gq2yiWrLq0e95vxqnLq1AolnDh1jwO7d6ODzJ7oZrzE1ZdFYAMeMfhDKeSPZBk5In1xMhgChNv7KmLFNm6Kd6QWKTSf5JXhMt5npunXpYW2HJiA/jNrXmcyHp354kC0sA7BGcSgxt3rWF3GVBR6U+C6CRUdGzRb8SN14Zl2BmYTsJMzicPvANwJzHwcD6QvJjZklUOVXsjiHZEVcf2qkkSZrq+mzCnBvLA2wSnh81CplIepTidOB9IWf3kMHfACaLdcKfsJ7tNfPdkpa4krEoRLr8RJs2GDHgb4JY82PKNSR9eD5H7gZSFQ/HqEctaahFEp+GWWvw83+5Gze0KGfAWk5sq4K1PZoSaW8kqS5MYeF28xw7vEtZYdj+MpJcT6x2/BbnY5148dTVU2SNMyIC3EGY8vTZMeH9PmPFa6jGLOLlfLKEnYUrDmdy76yK9PIoGrATRifjJuGwWZMCbiHsp9/jpii+NLZkwMf56f814Oz1orxhT92Qg0svb9YEliGYThR4e1l4URaE0CV78dpCAfqdGp/NgxQ2jLiZctBtvYK1yGsWUExuZKDoChVXUijzwJqFraGU4Db9uj72ybddp3Id2b2/oJQhUQ53YQ0YaObHRceroKg0gvAirNyZ54E0iKknCT4+9klXGW5/M4MVTV/Hx7QXh++6v1nsQaeQEsRHx0x7OTVi9MckDbwJhSw6spRPgX59jWrhsA3VHMiH0FMLurs3ITRVw7spcrV2VU+8niHZAtz2cG51m0F6QAY8A3mZlWJhxA2df66/9O6p4VQOoJRHxjht2d21gNaTy4gzKjqSLYsnC2MVqBxQy4kS74JRUTudmuTIko7fbRPemrkjyLAIb8MnJSQDAzZs3MTY2FnhAnQ4vrjoorKEqL+YbaHyYLtyaDxS3agA4eqCvdky3h6/jQagkUcjqvACAVbEprJFoW94dGQAAXLg9D/eCNmHGcfa16FaQgQz43Nwc5ubmcPz4cXz00UdYWFhAOp0Oa2wdSZiblYDYaIt4d2QA+3duq5MhEmYMW8w4issWYgqdTXoSJvbvrPYXdC8X3UZYZqBVkoTc7xFBYY1EO/PuyADeHRloelZzIAPe39+P/v5+LC0tIZ1Ob3jjDYSrDRuAsD2UF0+sSu3/S1YFgIEPMnsBACez01IPvViy6gytKJPNy0B7JQl5ZaE6YWGN5IUT7YzfrE+/hBKFcufOHTLeq4SpDfs9lpfhVJFXVCJNvCJUZBuguakCxi6qGW+gPqzRC4pbJzYKnh54Pp/H4uJi3WvpdBpDQ0O1fw8NDSGfzyOfz2N4eDj8UbYRp3Oz+Pj2Asq2jbhh4M2X0jUNLDdVwPKzcDYsg+xUe0WOpBRTg71WE7IsztxUQZiCHDMMYa2WIOMBqLYLsbHwNOAygzwxMYG+vj5kMhk899xzDYZ+veHebS7bdu3f+3duCzXdltU58YPIcDKPXjX00GsFIKsR8falWRzZl8JnXxUazuO3WL7KikS0Kjh3ZY4MOLHuCCSh/PznP0c6ncbk5CQePXqETCYT1rhaimgJLkp6+fj2Quibl7rGxjnm5WcrDf0DnR49Sw2WoVozWZTQULLKuHH3gVaPwaDjAcRe+sNli6QUYt0RaBPTuXHplFQ6EWcoGwvbA+qX4CLPsWzboW5eOvv+qeCWDR4uWzDjBpIJE4sli7sbzjYZeR503DBqBp5VORQdA4BQDrlfLAlDEb1IJkxs3awfO6tbC50gOhlK5AFw9KN/ws3ff1v7t9tMs405UV3uuGHgP/ZsCSXUzYwZGH+93/uNDnjev1W28ejJCj7I7BUaLZ6UwsrUAuo1UJwTnpPkasao7uqE3QM/xlZWCz2q7FGCaBUbzoC74zRf+JNEnfEWcb9YwtD3t3Hf++ZLaa4GbsYMfG9LVy0em8exA324cfdBoLhRkWFyF65yI4vxPnj+ulKd8Ilr94RRLQ+XLfzZ21f1u3UrlnwTxdyOX57jVnqMInuUIFrJhjLgvAgFVa852W3iX+YbN2kPfn9bLQoFEBtD3nlSyUTdZ/0ikw28mjOI4lZVa6B4ebXaxhvV1cNbn8jT53nf5cnsNE5kp9HbbcKMGXV9EM24gcdPV/DiqavUNo5YN2woAx5ko/G7JxYcuTE1fvfNo9r/i4yhSKoIq6CNV1QJz8h6ZYz1JEwlLzaqbiVs9fDl199yVyi875KZa/ceAGtsy66HQguJ9cK6NeA8AxVEA+UZb2AtukFmCLzS0YPCjiPKatyRTNTdj56EicfPVmCV65sns2Plpgp4zIlnN2NGw6QzdngXxj6dqR0rTEpWua6ui3OcXt+lVbaxdXMXps++goPnrzfIWNQ2jlgPrEsDzlten8hOh9ZNw42KIXB658yYnsxOh2bMZYWnDu3e7tl2zWnQJq7d4xrk723p4o8zwo6vog1lFc+fGfkoSuI2u+YFQfBYlwZcJJVEZWd0DIHfTEEVgyHy9FWlIy+DV+Rsxk5cu1enNTeDQrHE1bndMLnHK7FJF8r2JNqFdWnAm125TscQ+OkCr2MweDr8ScW0dRWD55ZigvT19EIUngis6dyy97BNyyTH2AfZg/DzHRJEFHS8AXfWJmkFuobAz3I+qMFQkRuc1yHadFWRYvzC6so4NywP7d7OTcVneOnubHwqiU06NLtLEUGI6GgD7tUJI0y6zRg2m3E8XLZqCT06tbqZ5yoyOTIvPqjB8IpSYZmX7DrYf501xTd3xXD1t9+EWi7AScW2uSGV+3duC6XbkHNTk+FXxw5bkiEIv3S0AZc15A2bZasCq2LjQ0lmowivpgVeXnxQg+GV8l6xbe41OWuKB/W24zEDMUCoWYuuhUlColj63m4TT6yKlsYPBNOxeROisXqMg+ev04Ym0TQ6qiu9u8hUGLJJwozVNQmWYZVtnLsyp30O2SZiKpnwrDzIKxqlK92MDKaERaVsoKFudpjFueKGgTd/lMbEG3u4dV5UC2eZ8fo4ItYflBXMMlCtoRIThBs5JwmvWuY82PN3MjuNzV1rzw2vdg4VziKaQcd44FH0mowbBv71r39cO/7YxRnPiApZWrwIkdSh2nHHbxy5u8N7txkTRm64PdAw9VxWdpfJXc4WbzrSRdmlebN/My+dPSO8r9A9SejKUu7nr1iykDDj6O02fcWYUxgiEQYdY8DDLtcKcKoLKgaKv3DqKpIJU7ngUhiaqW6rptxUoSHBZtmqIGZUvVSvWPCoMiyr56lgpWxLC225Gb88B3cuVWX1decEx3tG3Bo/oP+diDx2nexXBoUhEmHRMRJKFDv8cWPNYouSV0QUSxbGLs4oLZXDkEB0EV1PxQa2bu4SzlXsPkc5NmCt07wqIg3e+bqsqNfJ7HSdTKT7neg+fzHDED4bMvmGV4ueWsQRIjrGA4/CI3zzpbU+nn4mCGaEVLIwgehS6XnIroeNQeaBXvzSf3SPLDbbPY4wkT0jNvierup3Ijs273pltVxkrejcnvnYpzOAvbb5S9464aTtDbiz0YIIUZ1uETED+K8v9dWFrYl+oF7HZv0fdVLpm4HM4DBDIor1FkV8qGAA+CCzN5SWbU6d2DAA3tfg3IBWaRXnlIl0vhPZsUVPR8kq14W5MuOb5OjmQPVZ49V1l10DsbFpawmFaYUyY5Iw43jzpbSwtRcPAwYu3JpXWlK//7M9ni3BTmSn8ee/+hync7PSpW4zl8KHdm/nvs4KUrG2aix6I5VM1HpYBlnpHD3Qh5HBFI7sS9VJVKJxiHB+9zb4xptFoTDc1yTCj+fvPHYQSlYZtg1uRI2OE6J6DSS/rG/a2gNX2bgsVyrYv3NbLeHDmcUnSvJhPxSdJbVXxb2SVeF6W+zYzdy4yk0V8NlX/B9q5kfpuoQd57l5TRx0OHaguqph5xcZJK8N4NxUQVhZkWEAyPww3XAM5zWJVhJ+E27YsV88dTVQXZ1iyWroWQob3IgWESrXQJul65+2NuAqXsazclVrfG90oC4k7+D560rnUFlS8zITdY/dzPoZsonvs68K2L9zW8M5c1PBPO+EGcf+nduk508lE55hk8zoeHmjNoAbdx9I38MrdWvG5Z6/CiJ5SlX7BxoTmqyKDduu3se6rk5xo04DB9Q3wKlmy/qnrSUUVU/JmYDBlow6xojp2DJGBlOYOvOK9hI6ypKmXufkwUtWYUYzCCWrjBOrkR6ie39/9T7LlvQ64aJK985tUUMomSOS244e6AsksSyWrAZZa+KnezDxxp6617wSvxhUs2X909YeuMqmFIMZB93u5wydNOqT2WllO8CyHEUbV1HUz/CK2HGnlHvJFQy2+SurP1MolqRNjkVt0FIeERo8vO4dr9StauSQDC+5ze9zuCOZ8FwFupElBFHNlvVPW3vgOhtHO5KJQMk+XmnUzjEdPdCndexCsYTvnqw0bFxFFQvO8xCdsB+wqlzBeH6LiXdHvL8PG405UQkzDtuGsA0aM+bdm9Q2o1XuXZQe6MhgCjdPvYw/nH+1VnOdrSoANHjSXvh5Ftwbve40/lbkHxDNpa0NOLD2Q/nj+Vdx7EAfN7qAPZRBf5iqn393ZAAfZvbWhbAlEyaOSZbQVsXG1k1dvpbCurCJj1fjhUV/MM9bZ8JbXE2a8ZoggKphdl/rokdBLBvA42dlboRGwlx7VHu7TaV7J/I0w/RARUYUQM3A3zz1stSI+30WvBKC2N9ZNJDzPH6jUyiqpb1oawnFzbsjA7UoB96yMWjZ0bBS20VRCoslq66caZSIomesil1rL6crB7P745QQRPebt2Gp+v1s3dSFrZu7cL9YqjUkLjkqIz4RNSh1EXUzaUBsRMcvzzVERblrmyfMeKBJXDUhqGzbtesOEhFFUS3tR9t74Dycy9ebp15eM1Ycz1AUD8xb4of1w26G56eCrDyArvF23x/2HXyY2au8TFfx3IHqRMe+3+5NXQ06dskqK1WF5MW6h73qEbafK1l1XvmFW/NCb9gvoueJlxDklAhFk85bn8hLQ/ip4EhES2gGfGJiIqxD+Yb3gz16oE8aMSD6YcuWil71KpafrTTE+bZCewwr2iCZEEsWMiPpvk8AlPY0nIZJdA0Ply2l5TubaD7I7AWAhpooQVGdlNkU5PaGgyDSuEV7GizaSlYzRlYKl6Ja2o9QJJTJyUksLDSvuYIMnrThTvIR/Xicafu8Gs+MhnoVF2cAYy3tOewWXn4Jo36MGTc8qy7y7rloue2M1z+dm8WFW/N1qwH3RCe7BtVoEp2lvyyqg/e3scO7lMoQOwkrFlsUDSOTqmSp/F5j04lqoXK5zSGwAV9YWEA6nfZ+YwtRqXnh/pG7f45sicnzbng/Xl4Lr7BQ+XHkpgfRjH0AABk8SURBVApYfrYS+FxW2cZbn8xwizLJ7qlKEsm7IwOek+vY4V3CTkKsA47XmFTGkpsqYPzyXF11Q6+J++1LsziyL6VchtiJX69VNImw1yau3ZP2Ei1ZZWzuikn3QERjU02MIq28eYRiwIeGhsIYS0tRStvX7AAUxdJS5ccRJB6eB2vIwFD5Qaout70m15HBVINhZbA2Zl5jkm32scQjkUErWWWc/GQayYTJnQT8NtT2sx/C++551Qo/+6qAI/tSwnj9xZIl3QNxjs05YfQkTJTdzgrnQJQB2jw8DXg+n8fi4mLda+l0GkNDQ5icnFwXxhuIxtjq/EjdHmBvt4mzrzVKFyo/jiiaX7jx+kGGmUTyn/f8KdcY8VZJvDHJUt/Z6zKDZtviTkwqxts9Ocj2Q2SrK973KqpWeOPuA6Q8vgPRPWFj43UhcsNLjPLT7YjkFn94GvDh4WHh33p6ejA5OYmlpSX827/9G+bm5tDf3y98fzsTRC82Y0adBg7obVry2rk9XLZwIjuN8ctzdRq0zJt88dTVSDvpuJFNemGG8HnVPPEak6gJcQhZ9Z6w8rqqezCy1ZWOk3G/WOKW9XV+B7x7wqpJAuqOgHtculo5yS3+CSShMGOdzWaxtLQUyoBahexHLqsJzlLAAf8NG3gp34xiyap7oFWaFjQLViaAd61Bm1g4vTIdQ8szEu6x9AhayuniLjwlGo9q3XGv1ZXu5Mz2DlgtdfezysIay7Zd+5uKJ+3GLbnw9l5EkzfJLcEIJQolk8kgk8mEcaiWITM4PE2Zl4QRdkIGw/lA69SH8cvmrhierqgly8g8JlXD5cavhi/z8NlYghTuSibMWoIRez5EG6xe4+HhJT3wvntetUKgfnXB6o/zPO+ybcNAtX68qvTkhF0jbxOYISsfTKGJweioTMyo8SokFJVOp/JDYQ+0eyxhyACpZKLmmT5+tqJsvBnOCSYMPVNHw48bBiq2rXwuv/sDZowfTinbYPVK1HHfK6+CZ6Ln0PlaTLBatMprPUh59Wgu3JpvKDPMnTBiBr63pQvFZavu/LIJd+vmLu6zcWj3duF4qeCWGmTAFfHrTaqgEkvsfKBVUtl1YHHZB89f9y0t8KpB+tUzVb0vP6nofjw7mQc5/np/w3dnxgxMvLFHOy3djBkw44Z0L8XLyXjx1FXhOWXXbqMxrl7VcfFqBCJ6NmRVLR8/XVFqVbjRIQPeBowMpvDl198KH2j3jzjMMEFnwasgy1ZRNUg/eqbKisQAcGSf/qQqOnZvt4knVkW7Vonf1Rk3oqRiN8g0h3Zvx8S1eziZnVY6tlcvVEC8T8L7/r0cF5VGIDagXLKYUSxZ1QQ50GamDDLgbYIo0iJuGA1GJKwwwXisvqekiuGUdYg5KdCDvSYG3tJalIjCUOnIw0MUHXP2tX58+fW3tbjuuGEoTxB+Vmeie+IseOZnRTN2eBd+mZ2GWwRzauCievY7kgktCUxnP8FPrLxVsTF+eY4MuISOLGa1HhH9oCu2rZyYooNhAO+7lvlexaZ6u01phxg/Rbx45VhZIkrUzYmd4wdQ18ezbNv47KtCZOVSVe6V3+JR8XjjXWP9Q0cGq/XsecXcDu3eLq0v7qYZ+QZhRAutZ8gDbxN0YmdDifW2+VEjgHi5272pq/YenlfkJ/ZbZKRu3H1Qp83zrjdmGL50Up7HzNNxowxnE0UTObVfPxEaogqUztWKqISBrgRGkSKthwx4m6Bj/MIIJRR5gCODKd9SiB892MtIyWq6sOp5znP7JUg4m7MIGi+uWiZLuBtlO+P+/WSzBilhoPu9i8aX8tDageoextD3t+GP/16qHn81Vt0NrykJsQYZ8DZBx/gFDSX08oqDpMHr6sGyc/GqFbphzZQnrt1T2jzMTRXqjCaLMPF7zW6dmq1cmPzw5dff1un5hWIJJ7LTOHdlDmdf60f3pq6G0EHWEMLg6EdRfne6n/VyOmROhg3gj/9eqq2yclOFhkJZQNWoUzSKGDLgbYSO8XO+t/9MHo+fyb3xbjOGklVR8oqb0clGdi4DwAt/kvA03k5UNvh4RoJFO2R+lOZ2zPGqWSLzMmXFrh4uW1IDp5sQwwjy3Yk+e2j3dm7VRxWnQ3aPnJ69yoqEjHgjtIm5Dvjv/2XA8z29WzdzG/DyNqhEG31R/IBGBlM4si9Vt6lmA5j8/bfaKwuvDT6RPmxVbNy4+0D5mp0br17Ioi+cHXpUYAkxMoJ8d7zPHtmXwmdfFYQbmyOD/O5Yzr+JGni4PfuRwRS6NzX6lCobtxu1Vyd54OuAkUFxyVWGbqJNlIlLbm7cfdBgrP1mmMo0a6+/BalZ4hfWocdP0SgRQb4792fD2NzVWRX42YvYyAWxyANfJ4y/3i8NAfRKtIkCVa9IN5pBtrEl03r9/s1NmNEXzEN2er2i64s6vZz3fYVVq2Rz15qp6e0Wt+jzE4q6kXt1kgFfJ7DlL+/Hz7ydZhYO4sV3i2KKRT9Ot7hgADh2oA9TZ17RaqbMGDu8q5qI5MKMNXaVkRGWIXX2xnTKEGdfa5yMo+6pKvq+ehLBJhN2XOfq8IklrrUj6vMpu3avhh1+ZZVOkGXIgK8jRgZTNeMWVqKNX3S8ItGP1t14+oPMXrw7UtX7/Wi9I4MpTPx0T90kl0yYnnVLVMbLECnaqWRC+L3wxuls/sy6zE9cuxe6EWFG6kR2mvt9GQYCTSY6zwHbGHbuDbjvE8+oyhwA1aQk3lh0kppaBWng6xCRBtrM6BIdb99vPRE/Wq/OZ0Tx27KEJxviDjy6UUYAvw+n8+9BUAnTLC5byg0peKg+B7xwTHeZW5HWzTZavRp26Gj3nVKnnAz4BsKvofSDbkxxMzdNVfDaGJMlPNlYK9Eb5B5HaURyUwWlME2dhhS8c6iWi+Vdqw3gN7fm8T9nvsH46/3SrN33Rgfqnmudgl28cfv9vCjPIKpnmwz4BqNZhrKZ3n4UiIzFuStrxZVkmYgsQSUIUe5ZTFy752m8g3xfbALkGW/ecWXXxGLBRZE6vAgiUfkF1cQsEV51fUR5BkA0ETGkgROR0MxY8igQGZSHyxYG3/mi+mP1seGmQ5R7Fl6TQNDvSxRqyauuCXhfkyxmnvdZv9+NLERUpa6PKM8gqogY8sCJyGg3WUQH2TKcZVG+NzrQsHQPU5I6tHs7t0b8od3bAx9bdH2sCXNUtWXc1TVVMloZvJh5kVH1KxfKJjY28ZzOzdaVHX7zpTTeHRnwnYMQBDLgBMHBq98l06Ld2YdhIqp37qcOuhtRQbTuTeJcAh1U9kB0G5OwAmGqRtmPAyFr+DFx7V7DM1G27dokq9JMI2zIgBNtQRi9NMM+t0p2a5REqYGze+u+xsfPyqFEuqjsgehktPqJ5PGDqHH0d09WuP1KGX9/ex5/87O93IJcunkGOpAGTrScVsbcys6tkt0a9NyyRJGo4/ZHBlPYutlf7RGVY3vtgcgmIjNuIJkwm75/whv31k1d0n61AMD+nPlhGjGHVJ8wY9p5BjqQB060HFHEx1ufzCj3ggz73EweAfid54NuVqrU72hGJE/UXr7sO5NJDlbZxtbNXbX2clHCW4E5o4hkjaKdvH3pt3hiVeqie0pWBSey03jrk5maVh4m5IETLUdkLMq2HblH7mXARgZTmD4rzm71i0qGYjMieZqZnevGq4Uf77sJO71dZfWnei9KLuPthGnlp3NqPURVIQ+caDk9CdOz92FUWXBem21u78xPhAbPwwvSOSdMWhmvL8toBRoNZxRVB1WSpcLogMX4+PZCqF44eeBES8lNFfBY0DLNTRSbhrJ44TC0edExki2qOOim1fH6I4MpvP+zPUox21FUHVSZSN33KEibN1l9eD+QB060FFHyA48wjBvPGxbFcodRC1tkdDZ3xZRjmlWuIYjBbXW8vmrMtqzqoN+2a6olH9z36AVFXdxNTL1/hxKBDfgPf/hD/OAHP8DQ0BCOHz8expiIDYSqVx3Gsl60BH9vdICb+i7aYFNJOmGIrm+x5K9I1HpqXqA7ESW7TWEon9974FdCSkk2YGU466KHQWAD/rd/+7cYGhoKYyzEBkSWONG9qSvUuHDd4lBxQSEmUUo3zyDJPDw/nm+nVMnzQjQRffn1t7hx90HtHh7avR037j7wNJayeyCbKPxmbPrVxWW10P0Q2IAvLS1hYWEB6XQ6jPEQGwyRB3T2tfAruOmGzIn0St7rOqVOg6wmmtmUI0pEE5GzQmKhWOKWEhAhilrxWrF4TaSi1HlAvAErIuw9jsD+/OLiInp6enDmzJkwxkNsMJq5iaYbMidqxhs3jIYwNq9Sp2FdXyvD/sJENOEE2eJLdpsNIYZBNz5P52bxm1vzNSPNwgH7z+QBgLsBKyOMOjZOPD3wfD6PxcXFutfS6XRNNslkMgCA5557Dvl8HsPDw6EOkFj/tGuJW9Eymf2Ynd6czDN2L9OZ8fBzzc0M+4uyvIEsiccP7nR39t3IStCq8PHtBe7rrOTAe6MDOLIvVfPQvQijjo0TTwMuM8jZbBY/+MEP0N/fH+qgCCIKdPVO9/t5zQmYNyfTusPceGxWU46oN0vDiK1mXXdSyQQeP11pyCVgJWhVYsxFyIxyySrjr/5hFhVbPTwwbKkrkAb+4x//GAsLC8jnq8sJ8r6JdkfX23e+X5RSfb9YwgeZvULPOOyNx7BXLDxPO+rNUudEpOOJO422c+ISfTc6JWh5iCYAxuNnehNQ2FJXIAP+/PPPo7+/H/39/WS8iXWPV0QJwPeMRa3XWrHx6DbWh3Zvr9tkDUt6UIFNRLKY6mMH+uqiUkSrDVl3JJ0StG7efCmttZEqIwqpixJ5CEIRL/1Z5Bnr9geNCp4swuuLGYb04DUOp0GVoZp2zi0DGzOw/GylVhDNWQZBVd9n5w9qxHu7zUgiq8iAE4QiYcYMe3ljUWwgihoH8wgqPYjgTSIikgn1lHX3d9OTMPH4WeOmJkNH39+/c1tDKKguYcd/M8iAE4QGfvRnXcMf1QaijvwRVHoQodrEwYwZGH9dLzjC+d0cPH+du6nJIoB09H2dxhMiokq2IgNOEE1Ax/D72UCUeezsb6ox1mF0vxGNRzaJpJKJwJOFV49NP30rw9L9o9jzIANOEG2GriGReewAtML1UqsbmxPX7nk20xAZadl4ZJuNvHo0Oqj02GSaO28MsdUELfc1hxWzHsWeB5WTJYg2QzfbUuax6yz/mWzy2VcFzxK6slK7svHIyvcGxeta2XlEjSREDUR479c1nMbqccKGDDhBtBm6Rk7msasu21njXdXUc9n7vLJSoyqd4CXPsPO4x8ArTua8Zt6Yt5h6ptNGNNUiSUIhiDZDd9NTFqbIy1DksmrDVOUb2fu8wiZ1tHWdaBwveYa1Y3MfS5agxQhaD1xUVyco5IETRBsyMpjCzVMv4w/nX8XNUy9LDZ7IYz+0e7tytyOrbNdKAvBwvy57n0iiKBRLWn0sdTsi+e2u1IwCYWEXsWKQASeIDkckS9y4+0C52xFQ9ThV5RvZ+0YGUziyLwVe1fRCsYQT2Wm8sFox8HRuVtikWLeSoEyeaZUuz7j6229CO5YTklAIYh3AkyVEKfwivEoCAPWSRk/CxBYzhuKy1fC+G3cfeIYtuut9u5s6+AkFFMkzsnZszLiz7FN3nRUeSYVG3E5EnYSCQgacINYpOuFvopIAzGCfzE4j2W3iuycrsCpV01wsWUiY8boUdYbfmGd3UwcefqQN0b0wsBZSWLbt2r+9Sv6Ov96PsYsztXvRKkhCIYh1ikiL5sGLBHHrxg+XrQaDJZI0gujHMpPoV9rg3QtW2ZB3bi+9fWQwhYk39ihvTuqUBdCBDDhBrFNUwuWAqlYcJIX8frFUi/BgWvah3du1OtWo0NttYnNXDCez056boe7xAGjQx718Z+fk5D5ebqpQ22j2MuJ+ygKoQhIKQaxj3HKITlEtVRmkJ2E2ZF5+9lUBR/al8D9nvtHSinlecXWcMTyxKsJsU5USue+NDtRlex48f91TYmKTkyzTddkj0udHL/ZG1nGKPHCC2CDoJtGoyCAJMw7D4BeHunH3AabPvoIPM3tr50wmTPR2m7XzHzvQVzeeowf6YMZ4iTUV7jnGL881hAdeuDWvFL2iIjHtSCaEESzs3F4blDd//y1O52al7/ELeeAEsYHQSaLh1tiOG9i6qQuLpbXIE6+GFbpFsa7+9hvlqA2edy+SRtwrCndXILf3z1YnouvTWVl8fHtBuba5DmTACYLgopoRKqr+53cjsxhRyB1vPLyIG/e16rZ946HaM1MXMuAEQQhR8Z79NKyQEUb1P5E3LUN0rYd2bw/ckUe0gRwUMuAEQQTCb6ciEaIJQbWqYsKM48i+lFIvTR5uT/zxU7VyBDLefCkd+Bg8yIATBBGYIM0feMcCGicEFSnDAHBkXwr7d27DjbsPtM+t0/JNhbhh4M2X0pHo3wAZcIIg2hDRhODVsMFGdROUF0bIjivDT/s0Uehj3DDw/s/2RBZCCFAYIUEQHYI7DFLEw2VLqwiWE90SAGbMQIwT9ghUNy5l2ZxhQAacIIi2h2VCspC+D1Zjy3VQMc6yyBm2Ecn+m0om8L0tXShL6qGoThx+IQNOEERbI6rlzUvXT5hxYd0Rr7DG3FRBmlVZsW388fyr+P17P8GHmb0A1KoMRtHMmEEGnCCItkaUCfnx7YVaGVhgLbN0/PV+buEqWUMJNknIDDKbAJwTigpRNDNmBN7EnJubw8LCAgBgeHg48IAIgiCciDxYlhxTtu26ZhIMXoalaENTpSHyod3bleqnOImqmTEjsAf+d3/3dxgeHsbi4mLNkBMEQYSFigfr1pqdlQLdCjVPl/ZqiHxkXwqffVXQDiuMqpkxI5ABz2azGBgYwMLCAjKZDNLpaILVCYLYuKjWNecZYdUmzaJJgjVEvnH3gXZ4IRBdHXBGIAM+Pz+PYrGInp4enDlzBktLS2GNiyAIAoB6XXOeEVZpWJybKnCzLZ3p914bkWbc4BrTR09XIg0j9NTA8/k8FhcX615Lp9MYGhoCAPT19eH5559Hf38/stksjh8/Hs1ICYLYsPita+5Vp4V3LKDaPOLsa/21c8rqs7Aemn/1D7N4/Kz+OOWKjXNX5iKTUTwNuGxjcmBgoGbcl5aW8Pzzz4c3MoIgCA46tVe83ivavLTteu1aNBE466mfEJSdjaqhMRAwCmV4eBgfffQRJicnAQCZTCaUQREEQcjQqb0iatIs86qLJQuD73xR88LDLtgVFoHDCJlkwiQVgiCIdoRXqEpUxwSoes7OkEPZpJGbKgiPFeVGJhWzIghiQ8CTS1QbGzs9+HNX5mqySMKMIWYYDdo3I8qGxgAZcIIgNgC5Kf0YbgaLQMlNFTD26Qys8prZL1kV4efihoGJN6gaIUEQhG+YdCIimTClceYs5HDi2r064+1FxbYj18jJAycIYl0g62kpSsJJmPGaxDF+ea6hUbFOLLibKGugMMiAEwTR8fA2KJnXLTO8zjBAAHX6djJhYvx1tVhwN0F6gupAEgpBEB2PqGLhxLV70jR5d3KQM2b76Uq9vj12eBfMuHdz4mTCbJgYooIMOEEQHY+s5gmvlorbQ5ZNAIyRwRQmfroHvd2m4zgx9HabMFCdED7M7MX02VeaFh9OEgpBEB2PSN7Y4fCyZUk4ImnE/XqYzZvDgAw4QRAdj1fNEy/DGzeMWn1x9+vtDBlwgiA6nqCp7jzj7XxdFOHSasiAEwSxLggib6QEEkwqmZBGuLTaiNMmJkEQGx7ZRqfKBmerIANOEMSGx900gjVIHhlMKXf1aQUkoRAEQUAswcgiXFoNeeAEQRASVOLIWwV54ARBEBLatZkDQAacIAjCk3ZL4GGQhEIQBNGhkAEnCILoUMiAEwRBdChkwAmCIDoUMuAEQRAdSlOjUAqFAkZHR5t5SoIgiI6nUChwXzdsW1CGiyAIgmhrSEIhCILoUMiAEwRBdChkwAmCIDoUMuAEQRAdChlwgiCIDoUMOEEQRIdCBlyRyclJTE5OYmJiotVDaVuWlpYwNzeHfD5P98mDfD6PX/ziF60eRtuRz+cxOTmJbDbb6qF0BGTAFZibm8Pc3ByGhobwu9/9DgsLC60eUlvy+eef486dOxgeHgYA+hFKYPeIWCOfzwMAhoaGAFSdJkIO1QNXoL+/H/39/VhaWkI6nUY6nW71kNqSTCZT+/+FhQUcPHiwhaMhOo3Z2Vn85Cc/AQCk0+ma00SIIQ9cgzt37pDxVmBhYQHJZJJ+fIQWjx49qvt3sVhs0Ug6B/LAV8nn81hcXKx7LZ1O1xmhoaEh5PN55PP5DbsEVrlP+Xwe77zzTrOH1lao3Ceinueee67hnhFyyICvIjPIExMT6OvrQyaT2fAPmdfElc/ncfz4cQDVvYP+/v5mDKvt2KgTfBAGBgawtLQEgCQ4VUhCUeDnP/850uk0Jicn8ejRozqtl1hjcnISv/71rzE6OorR0dENPdF5MTk5iTt37tQ27ojqpLewsIDJyUksLS3RakUBqkZIEATRoZAHThAE0aGQAScIguhQyIATBEF0KGTACYIgOhQy4ARBEB0KGXCCIIgOhQw4QRBEh/L/AZQxHpaEoaTGAAAAAElFTkSuQmCC\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "nominal_manager = ModelManager(\"config/bullseye2d_nominal.json\")\n",
    "nominal_manager.train()\n",
    "nominal_manager.load_model(checkpoint_file=\"model_best.pth\")\n",
    "\n",
    "nominal_mapping = torch.cat([nominal_manager.model(x)[2].detach() for x,y in nominal_manager.data_loader]).cpu().numpy()[:,:,0]\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(nominal_mapping[:,0], nominal_mapping[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. learn mapping using the proposed information efficiency regularization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": "Validation performance didn't improve for 10 epochs. Training stops.\n"
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 576x216 with 2 Axes>",
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     "metadata": {}
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {}
    }
   ],
   "source": [
    "proposed_manager = ModelManager(\"config/bullseye2d_regularized.json\")\n",
    "proposed_manager.train()\n",
    "proposed_manager.load_model(checkpoint_file=\"model_best.pth\")\n",
    "\n",
    "proposed_mapping = torch.cat([proposed_manager.model(x)[2].detach() for x,y in proposed_manager.data_loader]).cpu().numpy()[:,:,0]\n",
    "plt.figure()\n",
    "plt.scatter(proposed_mapping[:,0], proposed_mapping[:,1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compare performance of k-NN estimator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "True MI: 1.504\nEstimated using samples of magnitude of X: 1.4487437467321982\nEstimated using regularized mapping: 1.333525746706255\nEstimated using nominal mapping: 1.2833311056693084\nEstimated using original samples of X: 1.1316185211379644\n"
    }
   ],
   "source": [
    "from pycit.estimators import ksg_mi\n",
    "\n",
    "x_data = []\n",
    "y_data = []\n",
    "for x,y in proposed_manager.data_loader:\n",
    "    x_data.append(x)\n",
    "    y_data.append(y)\n",
    "\n",
    "x_data = torch.cat(x_data)\n",
    "y_data = torch.cat(y_data)\n",
    "r_data = np.linalg.norm(x_data, axis=1)\n",
    "\n",
    "nominal_mapping = nominal_manager.model(x_data)[2].detach()\n",
    "proposed_mapping = proposed_manager.model(x_data)[2].detach()\n",
    "\n",
    "x_data = x_data.cpu().numpy()[:,:,0]\n",
    "y_data = y_data.cpu().numpy()[:,0]\n",
    "nominal_mapping = nominal_mapping.cpu().numpy()[:,:,0]\n",
    "proposed_mapping = proposed_mapping.cpu().numpy()[:,:,0]\n",
    "\n",
    "# perform knn estimates\n",
    "true_mi = datagen.ground_truth\n",
    "est_base = ksg_mi(x_data, y_data)\n",
    "est_optimal = ksg_mi(r_data, y_data)\n",
    "est_nominal_mapping = ksg_mi(nominal_mapping, y_data)\n",
    "est_proposed_mapping = ksg_mi(proposed_mapping, y_data)\n",
    "\n",
    "print(\"True MI:\", true_mi)\n",
    "print(\"Estimated using samples of magnitude of X:\", est_optimal)\n",
    "print(\"Estimated using regularized mapping:\", est_proposed_mapping)\n",
    "print(\"Estimated using nominal mapping:\", est_nominal_mapping)\n",
    "print(\"Estimated using original samples of X:\", est_base)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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