13-multilingual-rag-search/L1_Embeddings.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "LisLhUSeZFJM"
   },
   "source": [
    "## Where do embeddings come from?\n",
    "### Embedding MNIST images and NLP sentences into vectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BHOrPYK2yxEP"
   },
   "source": [
    "\n",
    "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAakAAAC3CAIAAAAn5TZTAAAMPmlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnluSkEBoAQSkhN4EkRpASggt9N5EJSQBQokxEFTs6KKCaxcL2NBVEQUrzYIidhbF3hcLKsq6WLArb1JA133le+f75t7//nPmP2fOnVsGALXjHJEoD1UHIF9YKI4N9qcnp6TSSU8BApQBGYwCBA63QMSMjg4H0IbOf7d316E3tCv2Uq1/9v9X0+DxC7gAINEQZ/AKuPkQHwQAr+KKxIUAEKW82ZRCkRTDBrTEMEGIF0pxlhxXSXGGHO+V+cTHsiBuB0BJhcMRZwGgegny9CJuFtRQ7YfYUcgTCAFQo0Psk58/iQdxOsTW0EcEsVSfkfGDTtbfNDOGNTmcrGEsn4vMlAIEBaI8zrT/sxz/2/LzJEMxLGFTyRaHxErnDOt2M3dSmBSrQNwnzIiMglgT4g8CnswfYpSSLQlJkPujBtwCFqwZ0IHYkccJCIPYAOIgYV5kuILPyBQEsSGGKwSdKihkx0OsC/FCfkFgnMJns3hSrCIW2pApZjEV/FmOWBZXGuu+JDeBqdB/nc1nK/Qx1eLs+CSIKRCbFwkSIyFWhdihIDcuTOEztjibFTnkI5bESvM3hziWLwz2l+tjRZnioFiFf1l+wdB8sc3ZAnakAu8vzI4PkdcHa+dyZPnDuWCX+EJmwpAOvyA5fGguPH5AoHzu2DO+MCFOofNBVOgfKx+LU0R50Qp/3JSfFyzlTSF2KSiKU4zFEwvhgpTr45miwuh4eZ54cQ4nNFqeD74MhAMWCAB0IIEtA0wCOUDQ2dfYB6/kPUGAA8QgC/CBvYIZGpEk6xHCYxwoBn9CxAcFw+P8Zb18UAT5r8Os/GgPMmW9RbIRueAJxPkgDOTBa4lslHA4WiJ4DBnBP6JzYOPCfPNgk/b/e36I/c4wIROuYCRDEelqQ57EQGIAMYQYRLTB9XEf3AsPh0c/2JxwBu4xNI/v/oQnhC7CQ8I1Qjfh1kRBifinLCNAN9QPUtQi48da4JZQ0xX3x72hOlTGdXB9YI+7wDhM3BdGdoUsS5G3tCr0n7T/NoMf7obCj+xIRskjyH5k659Hqtqqug6rSGv9Y33kuWYM15s13PNzfNYP1efBc9jPnthC7AB2BjuBncOOYI2AjrViTVgHdlSKh1fXY9nqGooWK8snF+oI/hFv6M5KK1ngWOvY6/hF3lfInyp9RwPWJNE0sSAru5DOhF8EPp0t5DqMojs5OjkDIP2+yF9fb2Jk3w1Ep+M7N+8PALxbBwcHD3/nQlsB2OcOH//m75w1A346lAE428yViIvkHC49EOBbQg0+aXrACJgBazgfJ+AGvIAfCAShIArEgxQwAWafDde5GEwBM8BcUArKwTKwGqwHm8BWsBPsAftBIzgCToDT4AK4BK6BO3D19IAXoB+8A58RBCEhVISG6CHGiAVihzghDMQHCUTCkVgkBUlHshAhIkFmIPOQcmQFsh7ZgtQg+5Bm5ARyDulCbiEPkF7kNfIJxVAVVAs1RC3R0SgDZaJhaDw6Hs1CJ6PF6Hx0CboWrUZ3ow3oCfQCeg3tRl+gAxjAlDEdzASzxxgYC4vCUrFMTIzNwsqwCqwaq8Na4H2+gnVjfdhHnIjTcDpuD1dwCJ6Ac/HJ+Cx8Mb4e34k34O34FfwB3o9/I1AJBgQ7gieBTUgmZBGmEEoJFYTthEOEU/BZ6iG8IxKJOkQrojt8FlOIOcTpxMXEDcR64nFiF/ERcYBEIumR7EjepCgSh1RIKiWtI+0mtZIuk3pIH5SUlYyVnJSClFKVhEolShVKu5SOKV1Weqr0maxOtiB7kqPIPPI08lLyNnIL+SK5h/yZokGxonhT4ik5lLmUtZQ6yinKXcobZWVlU2UP5RhlgfIc5bXKe5XPKj9Q/qiiqWKrwlJJU5GoLFHZoXJc5ZbKGyqVakn1o6ZSC6lLqDXUk9T71A+qNFUHVbYqT3W2aqVqg+pl1ZdqZDULNabaBLVitQq1A2oX1frUyeqW6ix1jvos9Ur1ZvUb6gMaNI0xGlEa+RqLNXZpnNN4pknStNQM1ORpztfcqnlS8xENo5nRWDQubR5tG+0UrUeLqGWlxdbK0SrX2qPVqdWvrantop2oPVW7UvuodrcOpmOpw9bJ01mqs1/nus6nEYYjmCP4IxaNqBtxecR73ZG6frp83TLdet1rup/06HqBerl6y/Ua9e7p4/q2+jH6U/Q36p/S7xupNdJrJHdk2cj9I28boAa2BrEG0w22GnQYDBgaGQYbigzXGZ407DPSMfIzyjFaZXTMqNeYZuxjLDBeZdxq/JyuTWfS8+hr6e30fhMDkxATickWk06Tz6ZWpgmmJab1pvfMKGYMs0yzVWZtZv3mxuYR5jPMa81vW5AtGBbZFmsszli8t7SyTLJcYNlo+cxK14ptVWxVa3XXmmrtaz3Zutr6qg3RhmGTa7PB5pItautqm21baXvRDrVzsxPYbbDrGkUY5TFKOKp61A17FXumfZF9rf0DBx2HcIcSh0aHl6PNR6eOXj76zOhvjq6OeY7bHO+M0RwTOqZkTMuY1062TlynSqerzlTnIOfZzk3Or1zsXPguG11uutJcI1wXuLa5fnVzdxO71bn1upu7p7tXud9gaDGiGYsZZz0IHv4esz2OeHz0dPMs9Nzv+ZeXvVeu1y6vZ2OtxvLHbhv7yNvUm+O9xbvbh+6T7rPZp9vXxJfjW+370M/Mj+e33e8p04aZw9zNfOnv6C/2P+T/nuXJmsk6HoAFBAeUBXQGagYmBK4PvB9kGpQVVBvUH+waPD34eAghJCxkecgNtiGby65h94e6h84MbQ9TCYsLWx/2MNw2XBzeEoFGhEasjLgbaREpjGyMAlHsqJVR96KtoidHH44hxkTHVMY8iR0TOyP2TBwtbmLcrrh38f7xS+PvJFgnSBLaEtUS0xJrEt8nBSStSOpOHp08M/lCin6KIKUplZSamLo9dWBc4LjV43rSXNNK066Ptxo/dfy5CfoT8iYcnag2kTPxQDohPSl9V/oXThSnmjOQwc6oyujnsrhruC94frxVvF6+N38F/2mmd+aKzGdZ3lkrs3qzfbMrsvsELMF6wauckJxNOe9zo3J35A7mJeXV5yvlp+c3CzWFucL2SUaTpk7qEtmJSkXdkz0nr57cLw4Tby9ACsYXNBVqwR/5Dom15BfJgyKfosqiD1MSpxyYqjFVOLVjmu20RdOeFgcV/zYdn86d3jbDZMbcGQ9mMmdumYXMypjVNtts9vzZPXOC5+ycS5mbO/f3EseSFSVv5yXNa5lvOH/O/Ee/BP9SW6paKi69scBrwaaF+ELBws5FzovWLfpWxis7X+5YXlH+ZTF38flfx/y69tfBJZlLOpe6Ld24jLhMuOz6ct/lO1dorChe8WhlxMqGVfRVZaverp64+lyFS8WmNZQ1kjXda8PXNq0zX7ds3Zf12euvVfpX1lcZVC2qer+Bt+HyRr+NdZsMN5Vv+rRZsPnmluAtDdWW1RVbiVuLtj7ZlrjtzG+M32q2628v3/51h3BH987Yne017jU1uwx2La1FayW1vbvTdl/aE7Cnqc6+bku9Tn35XrBXsvf5vvR91/eH7W87wDhQd9DiYNUh2qGyBqRhWkN/Y3Zjd1NKU1dzaHNbi1fLocMOh3ccMTlSeVT76NJjlGPzjw22FrcOHBcd7zuRdeJR28S2OyeTT15tj2nvPBV26uzpoNMnzzDPtJ71PnvknOe55vOM840X3C40dLh2HPrd9fdDnW6dDRfdLzZd8rjU0jW269hl38snrgRcOX2VffXCtchrXdcTrt+8kXaj+ybv5rNbebde3S66/fnOnLuEu2X31O9V3De4X/2HzR/13W7dRx8EPOh4GPfwziPuoxePCx5/6Zn/hPqk4qnx05pnTs+O9Ab1Xno+7nnPC9GLz32lf2r8WfXS+uXBv/z+6uhP7u95JX41+HrxG703O966vG0biB64/y7/3ef3ZR/0Puz8yPh45lPSp6efp3whfVn71eZry7ewb3cH8wcHRRwxR/YrgMGGZmYC8HoHANQUAGhwf0YZJ9//yQyR71llCPwnLN8jyswNgDr4/x7TB/9ubgCwdxvcfkF9tTQAoqkAxHsA1Nl5uA3t1WT7SqkR4T5gc/TXjPwM8G9Mvuf8Ie+fz0Cq6gJ+Pv8LuZ58UBU1tfYAAAA4ZVhJZk1NACoAAAAIAAGHaQAEAAAAAQAAABoAAAAAAAKgAgAEAAAAAQAAAamgAwAEAAAAAQAAALcAAAAA2ABCHQAAKaBJREFUeAHtnQeYVcX5xvdugaXtLtJhly5IU2lGBUQRFTsqKvJYsEZT9G/U2GLDFismwRKVaGLEroiJRlAUBBQjvQnK0jsLCyxs3/3/lonXy94tt8y59+y975FnnTtn5ptv3pl555tv5pzjKS8vT9AlBISAEIgzBBLjrL6qrhAQAkKgAgFxn/qBEBAC8YiAuC8eW111FgJCQNynPiAEhEA8IiDui8dWV52FgBAQ96kPCAEhEI8IiPvisdVVZyEgBMR96gNCQAjEIwLivnhsddVZCAgBcZ/6gBAQAvGIgLgvHltddRYCQkDcpz4gBIRAPCIg7ovHVledhYAQEPepDwgBIRCPCIj74rHVVWchIATEfeoDQkAIxCMC4r54bHXVWQgIAXGf+oAQEALxiIC4Lx5bXXUWAkJA3Kc+IASEQDwiIO6Lx1ZXnYWAEEh2CILS0tLc3NyysjKH5NerVy89Pd268OLSouLSQutivQLrJacmJ6Z4fyogBLwIlJSWFRSVen9aD9RLSaqXbN/W2bNnT1FRkXVtjcDExMSMjIykpCQn5Hsc+kZldnb2mDFjcnJyIEG7ens8HrA48cQTn3/+eeugzF//1ZwfP03wJCTY/nKnB5kJnuE9RnVvfZRdQCQtNhBYsnrn5K9Wl9HxrH82ls5XnjB8YNagPm3tYsXovuGGG7788ksC1pmE0d2sWbNJkyZ17tzZrtpGmlN2X2Fh4cqVK3v27Nm3b1+7emNLTp48ed26dXbFGmkHivJ2H9jRvln3lKT6FtkP3iso3r9p9+rCknwn1JbMGEAgv7Bk++78rlnNGzWoZ7HvgUxhUcmqdTv25xc7gRIjMS8vb+TIkdhoduUvWLBg+fLlMIldsV5pTnEf1hlljBo16uabb/YWZiUA961YscL6JOPVjWVpz3bHNUnNKLdn+3kSEnPyNm/d4whfezVXoG4j4PEkJyX275nZtkV6mT3Tj4GYuzd/3ZbdDoHDSOzevfuECROsc9/48ePHjRtnmMQJ5Z3iPqOrE/4+J6zrSsjCehWXPe5LqHAt2J3LK6msnzGCQEW3O3jZq49Tfi2vhujLqLTOfU6wh1dnApbNVF/RCgsBISAEXIuAuM+1TSPFhIAQcBABcZ+D4Eq0EBACrkVA3OfappFiQkAIOIiAuM9BcCVaCAgB1yIg7nNt00gxISAEHERA3OcguBItBISAaxEQ97m2aaSYEBACDiIg7nMQXIkWAkLAtQiI+1zbNFJMCAgBBxEQ9zkIrkQLASHgWgTEfa5tGikmBISAgwiI+xwEV6KFgBBwLQLiPtc2jRQTAkLAQQTEfQ6CK9FCQAi4FgFxn2ubRooJASHgIALiPgfBlWghIARci4C4z7VNI8WEgBBwEAFn31nvoOJxKTr3QM7OvC0OfcGAN4+3TGuXlto0ZGgLdu7I27Ah4eCnWkIWUm3G8vLGWVmpzVtUm6C2G7l5hVt27q/4CJ8TV3lCq8MaHpaW6oRsyXQCAXGfE6g6JXPltoVTl72dlMjnSq2P4PKy8rKzjrzs6KxBIWu/Y/685S+/mOjM11TLSkt7XnNd1qkjQlbv+3W73pi2KjHROnQVGpWWlZ0/tOuJfTNDVk8ZI4yAuC/CgIdVHKZZUmLyke1PaFivic2vuHo8eQW7l2yYjfxw9IM+Ib4uJw9vkNE0TFG+amDn5ufuXv35Z8j3jQ82TG5EHX90x4wmDcKr6CElY+bu21/41fzssvDUO0SofjiPgLjPeYxtllCe6Elq2SQzrUEzi5+RS/R4duVt83jCd/6WexITm3bo2Lh16/KyMlv1Rmbe1q38Df+L8Rh9mS0zWjVvYpOaEzw5e/YnJYWPni3AJCcgBMR9AcHkqkQVXzFM4AuuYRlBvjUq4xuaCdaoCtbjk4UW1av4aKM9JgU4FLSoHnZfhTRrreHbMgo7iIAmKwfBlWghIARci4C4z7VNI8WEgBBwEAFxn4PgSrQQEAKuRUDc59qmkWJCQAg4iIC4z0FwJVoICAHXIiDuc23TSDEhIAQcREDc5yC4Ei0EhIBrERD3ubZppJgQEAIOIiDucxBciRYCQsC1CIj7XNs0UkwICAEHERD3OQiuRAsBIeBaBMR9rm0aKSYEYhaBbdu2vffee5s2bYpiDcV9UQQ/rotO5J0qvDrGoRedxjW0daDy//jHPy655JKJEydGUdd4fI9LaWlpxaireCeSruggUFJaOm/x4i07dnZtn9X78MOjo4RKDRiB4uLilJSUgJPXnjA5Odm6zNpLPTRFPI7/vXv3vvzyy/Pnz4cED0VDv2pHAPSmT5++c+fO2pNWkwJbb96yZSvXrktOTsretOn77DUW56F9+/Z9/fXXe/bsqaZwRYeCwOrVq1966aV169aFkrmqPP369WvdujV/q7oZobh45L709PRdu3add955t91228KFC8vsvRsuQo0W1WIaNmwI951//vmvvvrqjh07gtUFi3tnbu785Sv27Nv34/oNxcUlC1euLCwqClZOdelTU1M/+eSTiy+++N133xUDVodSsPGZmZmffvrp2Wef/fTTT69fvz7Y7P7pu3XrNmjQoO7du/vfilhMXeU+hhBXaDBhZYwZM6ZJkybjx48/55xzbr31VhjQ2IAhSgxNj7qZi9XK6NGj165de9111zF/YA7gtw68KiA8e8GCRg0bdOvYsW3LFh3atsk9SIK2TD+WZhdeeOGyZcsuv/zyiy666M0338zNzQ1cvZhNefB9/SHXrnHjxtdcc82aNWswFxgyTz31lGFAWi20YdiiRYvf/e53mH4hqxR+xmj6+4qKimbOnMnqCQTbtm2blJTEvk+nTp369u1b60goLCxkyJElNAiwDpjEli9fvmHDBhgQG+GCCy4Ye8XYktSS0ASGkwsc6EAMWt8AAuvVqxeO2BDyVgm7ecVxxZuOD74pmr+HH3449Pfkk0/Onj3722+/xWN9xRVXjBw5stZhwEDZmpOz9IcfM9KapCQnJ3oSeYVy7t69i1et6t6xQ5Wl+9ai1gQmca9evS699NLHHnts6tSpdLDjjz9+7NixZ5xx+sHskZ7d8GqhFY1bUlICdL4B36o5HuajInl527dvD7kgbLTjjjtu2rRpixYtWrJkyWuvvXbZZZdh/oe2bGIGpV1CVsZKxmhyH8zFquSWW27ZsmXLPffcc8QRR+Cp6dOnT61DCODmzJkDdrWmrAGj/Px8710Y8JlnnnnnnXfOumZo10GtvPERCEDid9xxR8uWLcHh7rvvTktL4+d9993HILn//vsDHO1W9ATM119/feKmNzGBGaX0aXP5honhJ9fmzZvRjZSM7blz586bN+/liRMv79+3T407SHzM7JtFizpnZjZNT4P7kNM0La17p44HCgpY/x7RuRPyq6sLvDllykebZ84i1/80q+p/FcqVl9Og9C7opqCggBX6rFmzjjlmYL8hZ5c2PTLU1UJ1etUUj4KPPPIIatx7771PPPEEvshx48bR0+Cghx56qH79+jVltnoPNJ5/7rlb530cjtTdu3eb7NQLBuR65ZVXcnJyevbsGY7YaOWNMvcxb6xYsYKh/uGHH+KGgwExhmvFgs5NsjPPPDMcali1ahV2gbesjIyMwYMGd+/WraQ8oksk6gILw4BowkA1th6ByO/DQAqLFy9e9fUmUPVeEKI3TMD7My8vzwsdAbTFaK1ZZ7J/u3gJ81bLZo0KCnHwVXzhgurz/95duy74fkVm61aNGvAFtaq/fEHR33zzzRfbthMgY6W/RkmveuDpKwfdWFJkbtt6WHpvBz7v6YvEIWF0YGvImH4EmOlNDCTiq94heZz5QXHYFj3ahO7jQsKMGTN8HQjt27cfNmzYF198UUNdYEmahjqRxoTNX9N8ztQ1UKnR5D50BAKWS5MnT8ZwYP+hefPmgSjOGKMhJ0yYEEjiKtPQANdff71pM1jvtNNOu+qqq04YcsKCLTNmrgprbqyyuBoiWX2z6AYHWO/xxx8ngMX36KOPksV0mhry2r3FFyDvvOvOHi0GmH7JX2+AgrxhE0DnBx980MQz7eNcu3j0aM/yZatee7VKrWDNFauzF//wQ8PUVJa6/GeSwXOYJHkH8nNy98yav+CkYwbWT0nBtvQXQpPdfPP/PTBoSAUBH2Rk37+k56f5S4Bl+F133WWEdOjQgRX6lWPH7ixOe29Gdg0D1b/QMGOoGvYdJdKmTPAEaGUUIxBJo49alJWWnXvuucMHZIVco61btzL3mOyw3qhRo2h0mh7fEVN1lWJpMvad3n77beYeHBHHHnvslClT8GjhkMWBWGWWSEZGmfuoalZWFjjCfZzzhgfxJQVSf3oPDEjfCiSxfxoW1xRnWO/qq68ePHhwgwYNSMaizD+x0zGmaErxBiBEpwv1lw/fpKels/r2v1UpZuPGjaBHz+7RoweeNQ6pdurUiTTrly+rlNLwFGbt/BUrNm7b1iw9vVXzZmTc62M20pQd27bdtH3b7r17p86ZM7B379YHp8CKz6n5iCPcvHmLrI4dfeKqDuJB/uCDD+ge7E6y3YGzr3fv3hBiztItmB9V53Es1tum/gHHyqxKsCcB2Ku6EWgcu0YcC4P1YC48ffimmJsBuQaxJIDv3nrrLfIOHTp04MCB7dq1Y7nWqFGjQEt1Ml30uY/5hG6BG5VZhU1DTJ6QGS1AoFgQvf/++yeffPK1117rZb0A88Z2Mmio1gqShq0h1nG4IyG+Ll26+GT5X/YKp2BZGQeYobMNW7et37KlRdOmPTp1Wp6d3bB+al5+PuVU/KtY9pK0nI/b1k+px3G/5hkZsxcszGjSGJ8gWVIPesT43rkpAqE+ZVUbxH+CB/nGG2+E9Y466qgIm8/VqlWXb+AxYG170003YZ0Y1guwNs2aNcN/zZ4YoxsGxOkZ4NouQPnhJIsm9zFjZGdnP/vssyNGjKCbYouxVOHUz1lnneUo/WGiY6pgrnNULRzs4jPvgQMHmL0xrDD6qkQA4ps+d+7aTZuhNcirVbNm/Xr0aNywQfbGjSlJyXv37y8oKiwpLSmocHF6IEfSb8vZdVCUp2GDBoP79l2zaeM8DgDm7cPyY4182qBBqQHvUOA8ZTnJOqt///6O9qIq6x6rkdh3Dz/8MC0eAqS4pzgf84c//IHdYbZ93ANRNLkP22Hp0qVt2rRhPcJwwjMCG+IPpvs66g5gU2XAgAHuaYO6pQkTBqueGnSmNfv37NWrSxcC9VJSGC0Vq1dOxnTo0LV9e/+M3Tp0IDKrdStPwsH/PJ4jOnXiX2FRcWlZKVZbWuNGhbuq9ij5S4P4OLwpW88fmXBiWOqGnJ22YLixOckp2kmTJnGsL2RRdjNGk/vophwK89YHR4A3rIBrEYDRataN2xxhSShvUnOyIO56PIW1r8X/J0+sFwSwEUnKKWhOwvMEAUe4XnjhhdNPP726FUNE1Pm5kND3vH+WoZAQqIRAhRPP2hX5DYpKtdHP0BCgB7A9wsE1zgDigsB45HkEDjPg4g9NoN1c0bT77NZE0oSAEHAbAux1sOnEZiYXTljYEA0Ju0FPcZ8bWkE6CIEYRAD3CIcrudxZN6153dku0koICAFnERD3OYuvpAsBIeBOBMR97mwXaSUEhICzCIj7nMVX0oWAEHAnAuI+d7aLtBICQsBZBMR9zuIr6UJACLgTAXGfO9tFWgkBIeAsAuI+Z/GVdCEgBNyJgLjPne0irYSAEHAWAXGfs/hKuhAQAu5EQNznznapVataXqZSa/5DEyDNnsAKYfakoSjS7MmzKqwCxYOq2dTw0KbRL6cQ0PO8TiHrkFzedVxSWlRcwludAn6vU22q8NwlMnmFcm0JA7rPV4v4PJp5aj2gDLUlQj1k1pYqoPvUkLcCFhbzuciA0geSCDItKuHLdoGkVRoXISDuc1Fj1KoKA6ywOH/u6k8SE5MtMdXBMj18aK2kKHw+LS8vOXBg+eTJSSmW+1VpcQmSw3yZFXRcWFQy7ZtVKclJNqk5wVNSVpZfWCz2q7UDuyqB5T7qqrrFnjIt09r1bT+YRZb1YWbWlM0btw4HtMZZ7dsNP6VCgjP6IT8c9Vo1bXhc7zZhEmi1CmSmtW3uik/wVKuhbhyKgLjvUDzc/atLi578c62Oh/Xuwz/Xqtc1M4N/rlVPikUYAe11RBhwFScEhIArEBD3uaIZpIQQEAIRRkDcF2HAVZwQEAKuQEDc54pmkBJCQAhEGAFxX4QBV3FCQAi4AgFxnyuaQUoIASEQYQTEfREGXMUJASHgCgTEfa5oBikhBIRAhBEQ90UYcBUnBISAKxAQ97miGaSEEBACEUZA3BdhwFWcEBACrkBA3OeKZpASQkAIRBgBcV+EAVdxQkAIuAIBcZ8rmkFKCAEhEGEExH0RBlzFCQEh4AoExH2uaAYpIQSEQIQREPdFGHAVJwSEgCsQEPe5ohmkhBAQAhFGwNl31icm2ufWpKQkPtzlKEx8cNDjQXNrX51AHJejOkt4bCBQ8QnNRE9imbXaGIHWxFUliL7NqKzqTlhxTrCHr0IOch+IrF69+quvvvItL/xwSUlJbm5uy5YtwxflLwF+Kisv3bV/a0Hxfpuf8vJ49uTnWBTor7liYgABvsO3Y3deGR3F2rRb8fngfQcKS8vssemhQDPMGY8zZsxITrZMJrCHoxaDZXV9YWEqePHFFydOnOgbaSVcVFQ0YsQIK6L8hHj4VON3a6ZZ/9Y03RlW9StOEULgZwRgqBnfZVtfIUCkxSWlDvEIlLd48eIzzjjj52pYCpWWlqanp1sSVoUYj80pxkf+3r17p0+fXlhY6BNnM9imTZshQ4ZYb86deVu27d2YUDFZOnJlNu2U3qCZI6IltI4jsGtvwdotex2qBPTXrkXj1oc1tCsf9mBht2XLFrtivdLq168/bNiwtLQ0b4zFgFPcZ1FFiRICQkAIWEfA/l6EdRUlUAgIASFgHQFxn3VIJVAICIE6gIC4rw40klQUAkLAOgLiPuuQSqAQEAJ1AAFxXx1oJKkoBISAdQTEfdYhlUAhIATqAALivjrQSFJRCAgB6wiI+6xDKoFCQAjUAQTEfXWgkaSiEBAC1hEQ91mHVAKFgBCoAwiI++pAI0lFISAErCMg7rMOqQQKASFQBxCwwH1z586dOnUqr9WLbnV37tz5/vvvb9iwIRA18vLypkyZsmLFikASx3OahQsX/vvf/y4oKPAFIT8//1//+hdvLvKNjEoYHdAEfXxLR1t0RnPfSIX9EaD/MwoYC/63/GMYWYwvRpn/rUjGwDOwDZxjoVDeQhPmNWbMmCOPPJKXVoUpJ8zsM2fOTE1NfeuttwKR8+OPPzZv3vzhhx8OJHE8p7nppps6dOiwdetWXxA2btzYrl2722+/3TcyKmF0QBP08S0dbdEZzX0jFfZHgP7PKGAs+N/yj2FkMb4YZf63IhkDz8A2cE74hVqw+wwBW39ra7C8bt6aDSKBZDTAOf1S7EA0cXmaGiCy/vLEEKCoQYcaNA+hoJjMAkRmIARSOzOynHg3fSCle9NY5BkL722m/+3Zs2fy5MkNGjTwqhj5wPLly8uCeTE3Db906VLUjryqdajEH374oUp+IXLlypVRRw8dqlMPzaOunssbmv4f1AzB+Pryyy+3b98exXrh34Btqmz0YLWywH3At379+iuvvDLYsu2mp2GKi4sDBwW1MePfffddu2rEmDTcKx07dvSvFPM/rqKPP/7Y/1YkY1AvMzPTv0TU++STT6ZNm+Z/SzFeBHgpfLNmgb5FnJHFtyLuv//+oOjSW5bFAGpY0cEC90E6DI8//elPDRtafiN2UHgtWbLEeKACzEXDX3755TgOAkwfn8mee+65+fPn+9cd9EaNGnXttdf634pkzEsvvTR79mz/ElHv3HPP/dWvfuV/SzFeBCZNmsQE5v1Zc4A1b7169R577LE+ffrUnNLRuwcOHMCTG9QKrzp9LHAfoDRp0mT48OHRXfNSelCzAWoffvjhJ598cnXQKB4E2DCdN2+ePxR0vk6dOkUdvc8++6zKDwHSuGx3RF09f9xcFfPf//4XoAJXifF1zDHHHH/88YFnsZ6SNS9sE5Ta1elgYa8DRLiifsaFqR4/KJpUV1XfeAx4i05TX8mxF67Sve0e9KrUpEqdY69pwq8R6AXoJmJkkZhRFn6h4UiAZyroJrBhXnNBFr5VtGjRIo4I/eIXv6iyF9ZcvMW7u3fvZh5j/7t169a1isVy/vrrr7FcOnfuXGvieE7AETB828ceeyxfzPLiwAG6b775hk/lde/e3RsZlQB7HXwkDPU4fuFVgK8Doh5fcO7Ro4c3UgF/BLKzs9esWXPccccF4q3i5BCnKQcOHNi0aVN/URGLgfs43Ne4ceOjjjoqzEItcF+YGii7EBACQiDyCFjw90VeaZXoKgRwvjAbs3RiJYIfkJ8pKSmu0lDKCAF/BMR9/pgoJjgEOFr0+eef88DTtm3b2D4655xzBg8eXLPHDX7kGSkeyag5WSU9Nm/ezJkM39V3pQT6KQQCRyCgnYHAxSllHCLA0YeTTjpp3759H330UUZGxqBBg2plNE7VPvvss0FhtWnTpvHjx+/fvz+oXEosBKpDQNxXHTKKDwIB6A/3Mxk4f+C/5cVB/FWrVq1bt87sEuJiv/POOzmXx6M4bDqRCz86j2GYME/Ls8FC4l27dhFpnrTHorzvvvs4rkwWpAWhmZIKgWoQEPdVA4yiQ0KAxaxvPn7ynpVHH32UwwCXXXbZM888w/ksVseskVnzvvrqq5Aaj9Y8+eST8Nrvf//7HTt2EM+p6ZEjR/75z38+//zzicTWIz0PqJH473//O1uTvkUoLARCQ0DcFxpuyhUQAuyBwFnmQAy8xmMYcN9ZZ52Vnp7es2fPxx9/HEvwnnvuadu27amnnkpKeJBTRzgQMfegv8MOO+yDDz6A8jg5T5qsrKw//vGPRx99dEBlK5EQqBEBcV+N8OhmGAjw3CW5b7nlFg5dvvfee+wCEwPZeQ+m4hbEHjSnzAhceuml7H6YdTF+wxYtWrBfTBbWwqQ0R3ADPIgbhtbKGi8IaJ83Xlo68vXEo8eD3u+88w4Pxr3yyivfffcdL9qrpAZMh5XH7u3FBy+OyODmM2nM8tmQHWHfn5WE6KcQCAEBB7kPvwzLHNNlmcY5/eCd8ENQ1JsFgS6c/Knp2rVrGbrohrWCkhgsDGlq7dU85ADefbz+0ATrQayhkOU4l5FaG3vNNDcFsS3LcvWXv/zl22+/zS2eu+CtkyyBgcV0Ax4O4a2Z3bp1a9++PSkvuugidktImZaWBoxGmjdAForggQ1ABl6zr+JcdSpJplweIGG1Tjw7OSjDYpwFuJX+zHwAVlTqiCOOCOT5ikq6RfEnsGCzAwtN06pVK5wStSoT8uANOWMNKjm45qWXT5gwgefJee+N2cKrQY8AbzFacB4FmDiSyRirvEobpxWvNsnNzcVd9eGHH/JuGy8XhKMMwtkWwOf1n//8Jxw5DuXFcDOvdeMZQfZzebEVdccxhwXHc2+nnXYaoyInJ2fEiBEEeN0ZkRdeeCHdY9myZXj9HnnkEZjx3nvv/fbbb3kekSmTp6bYOJ4+fTpLXbIwwCBENkCghgULFkATDlWkOrE0IjvR11xzDXXBmIV/b7311ptvvtnfjK1OQg3xdJXbbrvtggsuQGwNydx2i7346667joNKPEvKqOTdKpxAqnmYw5VsfPE32Lqwuc/jqsHmqj097ercxRtv0OD666+3UgScwlsCJ06caEWadSGMfwYnjxnSmxGOscZyD0vHSkF/+ctfmF3/9re/WZFmVwjUzHYERMDZY/6yUWsuTqtQEOOBAGkwEHg0GKIkkjBZoD+jCSzJY7nmJ+YhdhAX0kyAuyTjLlmwFk2WCP9lr3nIkCHQLvvRFI37krbGVqVPhqkJyLCdzbvjeQlbmKIilp35iVOcrGlYjphCn3/+eQDhJfimfavUhFdmnXfeeTUkqDIX3HrJJZe89tprVd4NJ9LBNW8l3sUigAuY4Xn/F6+E69evH4YM0zidiUimd3Ds27fv6aefzmgBJro+LiBykYbHrXlenRNexGNBYBTQ7fhbqYjo/qQZjAKs1JimWM2deeaZLIt4BxTTHevfLl268AGdYcOG8SIgiAxG4P1LjGfsIAxG3sFFSqZTbvXq1QsOJcBSGjOKdS6swU8jn5mTjFgirLzAEKDeeOMNTCQ6Fu90wpIaOnRoJKGgjrw4oLoSqRcXd2llLpPMN0yM7+PxnBDk8pcG79RQin96uzEwlBFI4xI44YQTeI8D5i0Hd9i2pk/yIQtOdwN+//79aanvv/+etqaJefifiwH/xRdfkIwlM6xh3reK2TtnzpyuXbsyE3iXz76iBgwYMGvWLN7AShp2t2lcXkoY9bdv0M9ff/117N+rrrqKLm1g4XA7tjlve0RDzmbyohAGLFY8PZ/ey4syUf6OO+4gMQsChgbjmudz8BsQgAowqJld/vnPf4IYawJGAXtfAAV0HANg9585D1QhBP/To0aBEP46uOatpA3HGnDrPPDAA1iwBH7zm9+w/MHXAyGy3mEmoetcffXVHHTAm0Oahx56iFUAiBCAH6k5oDPsWViBHUO9knw3/ERJejkNDxlh8THmiaE6L7/8Mis76ojhxr6nWRSzbqKBGdKsHVjuMQxYVTHsAQocZsyYQXuzGkIUniAo0nArf1988UWmWTZPn3rqKeZDiIMe9uCDDzKjACwxboAitnWgmei69EYIji5KU/KOE4Y6vZo2ZTzz2lRalsgbbriBCeyFF17AJoK/GNW0MtMVC/mxY8cyBMhl3gJPV6kkCuEYU3hO8B0hkwUmnSTqwFJruitqMBLR2egD8WG6YrwbxzSVZYOLnk/FIUSsGdDgL8lgOqYNRj2mDNXHqGcxZxLztM+4ceNYOjBAGPWffvop8plsGFMwPqPeO0NYASFy3EcrNmrUCPOH5z2piVnOsAdCJKgxM0ABzK64xhnexFM9CA6wqD91ZoRDAUTSgbCb3Ml9qGfGA1Oft1vQAzBzOL2BXYaJB6HTtLyHh3UT/IUbCyIDEBgNU44YKkiHgC4ZRcwEdBTumtcxgQN2Af0JoJgq6E/0DwqFLvnLLMrh4RtvvJGwLkcRoCGMAcL8hI2PYcJPmp6GwyRndcLeCDYLB7OZ7GkpmpieTCMy8pnVsOVpOJiRhQ69moajzyPTXxS5mEFpbixNfL4sGhytVyDCISNqSkq6nzc91WcdRi3gKQYvYUao6fkEuEvHhgEY/rh9sRa9ox7/OFYCX48wY5yUXKY/M4JY2Zj3pIEbeJLGW2L4gcitecEFddGeKhHmMusIAoBIPDYwAaYC4PNWjLvesFlumFzeSFcF0Jb2pjlZpKCY2dY0GhqyJgG1IB73MJM8PkGaGXcPLkJioEj6BHfpOuDAVE8ak9H8BTpsBC6mXApi+cBf+goyGSEsCU25rsIkJpXB+Ujb0RwMY7M6oVtyoIeZm+GNtQ47QHn4LmgRnDbMatAcnZweTmOtXr2aTk6AGLoEfw1KlURhElIKCaAACIU3RLgBTHopJA53sxbx6kNHhfdREicgOpt4NPcmAB9+chGg4gQOslwygCAQW894cv0zkphIJ0a9TR711tMboHP4h30jK90FEeZA4DBp+FuB1k8ImgCRvuTolRD1AIpxoQY8hRuOfoD/jqWNt2ebBOYv/k3icZqYpiUXPiBYj4thAxXyEyggQdOTvFVGLLYAY4kEWIiYzOQ1MulMUQfBKOBtMpfoE74avm2HNBatuGWgAPxc+LNocSYkHNl4aWkdbHw89JxnJCWDlhgI0dhKECLgwJLwGrfY2EGyaVz6A7OXrygMJaM5LevtReHXJUwJaIK3Hf2xUqmOkWZeIsujOHg8fVufMBU0aUyYHk7FifQmYwiAGKaPSclfMyjMT5OMMBnD1LxSdgdHCwOYLkJ5+C9Z5ZkhzZqf6YJZgpnT9ANqRSRmDvHUnzUgLc1CgDBeXoQggZTUnHHOLc644APGhK5Uk+j+pHZm7qJqDAMmapY2uGlw8xFDBamOqTjzGz0ePy7GP+45akp3wZeBtchwgi5pbLLj8sNrDody1AMXHh4WgMJbxMJ59OjRrG05OcReCp0GEgQfxLIcZlBFFwcsGtydVJaxASkw7GH56KoUfukMRdqUPkynxXmHuwYHBRXEqwXgmOowIKs2GpHW7N27N/uSbIPwkDJTF3MV3RV/Di+5oflY52K+me2Rv/71r6yOmekx96A/tj64VUkU/Z+WZf6jiREVfl2sSOAl7fian3jiCXYnWLWADC4aeiOOe6pMn+TCeYcVzNinMzAEWJcwAeAQZNMDQOjM1ItRj3EAAuxvQPosbyFWLEpyoSdVhiUZ9dzC0clMD7ZW9DdCkhhCFsX5isL1zuzHAMYrDGdRAfoQFSDA2Dbx3GJgs8/F9i64AMHZZ59NAtZ0JhcrBboUKwt6FRfjnLHE11KA0resqIfpvvRs2oYKwoM0Kjt9GG4nnngiEwDaYhTQ3tABNaJq1IUzE8zzdAtWRtAfdQQTCBQ0ID6GAZ2GmjL50yFw95AeRyd52UFjJUUy5OMEoaPArThEQBUhlBItNKgpp95QD7cUKnHgC2pA4WjpY6tc2ggvHvBy3gAnAzxIP2R/g/aiCLiPmYyWpco0Lk1DFyWG5mPoggbNREqyMDGQ7Le//S2Y0PS0JmSKC5jEp5xyCl0Cxy7t7hXF+pEslMstZHJ+2FaNwpRDH6M/Q9MMcLo67Q4b4mg2GsLR9GcYjeowIrCOCdAToDboD+IjGaQJXMwBTCTM5WeccQajnmSgBFcAFzBSfSpOLiK5GAusjsPU3Df7z5anb2zEwtAECGIQ0bdiwECIGG7uLIgPHrJ3iUXAyQ96MJt3jHCmLmiakcBFd2dgeHswnIIJDLkb3zaVwubFejWWL4OBGAwiYmAcLnfWWloFiwAGHYda8NuwmjFOm2AlWEnv4Jo3EP3YEWcAMPvhD2a6Y3gEkktp3IkAFgq0xSEelr0cXGCixkDAHMb3TxNjAeEVYs5nqciaiHNL3ILR2MvmaAgrJiiStSTODTxlTPgcBzOb2qwu2fa54oorsKrcWXFpFRQCGLPQHw3N0pAlAtNkUNmtJaazRvHiLAgreVz+HGpneERRExUdPgJ4cDhmCAPSO7H4eEEpe3/YeixzMPdwXEJzLP859oG5x8OOHFWl9VkHseRhBcCJWVY6OD2ffvppXB+s5aFRlgWsMfGgcWgWUeErKQlRRwAHEUOeC58gdn209IkS4/5E3Tg+uH76pf/XbQSYwG+//XZcPzx3iFnHE42YbLj5sf5Y2uD3gbxY4fIIBJbg3XffzbE4Lu5i+3OLU2+MBFjy17/+NR5P2BC3NwtkvON4i/jJ7Og2P2/dbrAoac9n47miVPjPxTp7xuXnchSKAwTYxMR1i9uetytDfyxvzba1qTrTOzTHxWIHFmMTn6Ux9h1sSAL2wVjzsqGJ45y9QjaISUYM+zxsdnPKn21TIuMARVUxQgiI+yIEdDwUg/cWysOCY4uTp3fYgzZPJRu+g8tYFPMXw5BlLI/3VTy426SJiYTv8A/CfTzuggS2/3D+4uAzD71i9OErhDHjAUbVMTIIOHjGJTIVUCnuQQCjD0ce/MVxJR7aY/XKjgcUxsNYHIaA8tjNR1vWxfj48PRxeI0NEGiOA2IYd4ThROxBvMAYg2x34P7DEcwLcnCNc2yC3TBo1D31lSZ1GoEon3Gp09hJ+UoIYJ1hvsFocB8BNnMhPow4cxCM474sYNkDMW9tgeZY0pKG/RCozTzEQgznxfAb4gUmL/LZ6uUwBPsnnIOrVJx+CoFwEBD3hYOe8taOAGYg79SC4HjQhSPrtWdQCiEQEQSivM8bkTqqkGgiwDkGlqs49TjIyvF1XIHR1EZlC4GfEJDd9xMS+r8zCLC5YQSzk8syVg47Z2CW1KAREPcFDZkyCAEhEAMI6IxLDDSiqiAEhEDQCIj7goZMGYSAEIgBBMR9MdCIqoIQEAJBIyDuCxoyZRACQiAGEBD3xUAjqgpCQAgEjYC4L2jIlEEICIEYQEDcFwONqCoIASEQNALivqAhUwYhIARiAAFxXww0oqogBIRA0AiI+4KGTBmEgBCIAQTEfTHQiKqCEBACQSMg7gsaMmUQAkIgBhAQ98VAI6oKQkAIBI2AuC9oyJRBCAiBGEDg/wGy1CjjQQoRGQAAAABJRU5ErkJggg==)\n",
    "\n",
    "[Source](https://en.wikipedia.org/wiki/Variational_autoencoder)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "height": 183
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "2024-02-01 11:07:24.165896: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n",
      "2024-02-01 11:07:24.650570: E tensorflow/compiler/xla/stream_executor/cuda/cuda_dnn.cc:9342] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n",
      "2024-02-01 11:07:24.650669: E tensorflow/compiler/xla/stream_executor/cuda/cuda_fft.cc:609] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n",
      "2024-02-01 11:07:24.650698: E tensorflow/compiler/xla/stream_executor/cuda/cuda_blas.cc:1518] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n",
      "2024-02-01 11:07:24.788556: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n",
      "2024-02-01 11:07:24.790606: I tensorflow/core/platform/cpu_feature_guard.cc:182] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n",
      "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n",
      "2024-02-01 11:07:26.696760: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from tensorflow.keras.datasets import mnist\n",
    "from tensorflow.keras.layers import Input, Dense, Lambda\n",
    "from tensorflow.keras.models import Model\n",
    "from tensorflow.keras import backend as K\n",
    "from tensorflow.keras import losses\n",
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
      "11490434/11490434 [==============================] - 0s 0us/step\n"
     ]
    }
   ],
   "source": [
    "# Load data – training and test\n",
    "(x_tr, y_tr), (x_te, y_te) = mnist.load_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "height": 81
   },
   "outputs": [],
   "source": [
    "#Normalize and Reshape images (flatten)\n",
    "x_tr, x_te = x_tr.astype('float32')/255., x_te.astype('float32')/255.\n",
    "x_tr_flat, x_te_flat = x_tr.reshape(x_tr.shape[0], -1), x_te.reshape(x_te.shape[0], -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 28, 28) (10000, 28, 28)\n",
      "(60000, 784) (10000, 784)\n"
     ]
    }
   ],
   "source": [
    "print(x_tr.shape, x_te.shape)\n",
    "print(x_tr_flat.shape, x_te_flat.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "height": 64
   },
   "outputs": [],
   "source": [
    "# Neural Network Parameters\n",
    "batch_size, n_epoch = 100, 50\n",
    "n_hidden, z_dim = 256, 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Example of a training image\n",
    "plt.imshow(x_tr[1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "height": 115
   },
   "outputs": [],
   "source": [
    "# sampling function\n",
    "def sampling(args):\n",
    "    mu, log_var = args\n",
    "    eps = K.random_normal(shape=(batch_size, z_dim), mean=0., stddev=1.0)\n",
    "    return mu + K.exp(log_var) * eps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "height": 183
   },
   "outputs": [],
   "source": [
    "# Encoder - from 784->256->128->2\n",
    "inputs_flat = Input(shape=(x_tr_flat.shape[1:]))\n",
    "x_flat = Dense(n_hidden, activation='relu')(inputs_flat) # first hidden layer\n",
    "x_flat = Dense(n_hidden//2, activation='relu')(x_flat)  # second hidden layer\n",
    "\n",
    "# hidden state, which we will pass into the Model to get the Encoder.\n",
    "mu_flat = Dense(z_dim)(x_flat)\n",
    "log_var_flat = Dense(z_dim)(x_flat)\n",
    "z_flat = Lambda(sampling, output_shape=(z_dim,))([mu_flat, log_var_flat])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "height": 217
   },
   "outputs": [],
   "source": [
    "#Decoder - from 2->128->256->784\n",
    "latent_inputs = Input(shape=(z_dim,))\n",
    "z_decoder1 = Dense(n_hidden//2, activation='relu')\n",
    "z_decoder2 = Dense(n_hidden, activation='relu')\n",
    "y_decoder = Dense(x_tr_flat.shape[1], activation='sigmoid')\n",
    "z_decoded = z_decoder1(latent_inputs)\n",
    "z_decoded = z_decoder2(z_decoded)\n",
    "y_decoded = y_decoder(z_decoded)\n",
    "decoder_flat = Model(latent_inputs, y_decoded, name=\"decoder_conv\")\n",
    "\n",
    "outputs_flat = decoder_flat(z_flat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "height": 217
   },
   "outputs": [],
   "source": [
    "# variational autoencoder (VAE) - to reconstruction input\n",
    "reconstruction_loss = losses.binary_crossentropy(inputs_flat,\n",
    "                                                 outputs_flat) * x_tr_flat.shape[1]\n",
    "kl_loss = 0.5 * K.sum(K.square(mu_flat) + K.exp(log_var_flat) - log_var_flat - 1, axis = -1)\n",
    "vae_flat_loss = reconstruction_loss + kl_loss\n",
    "\n",
    "# Build model\n",
    "#  Ensure that the reconstructed outputs are as close to the inputs\n",
    "vae_flat = Model(inputs_flat, outputs_flat)\n",
    "vae_flat.add_loss(vae_flat_loss)\n",
    "vae_flat.compile(optimizer='adam')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "height": 166
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/50\n",
      "600/600 [==============================] - 8s 12ms/step - loss: 200.9981 - val_loss: 178.5663\n",
      "Epoch 2/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 170.6599 - val_loss: 165.1075\n",
      "Epoch 3/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 162.4534 - val_loss: 159.3683\n",
      "Epoch 4/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 158.0253 - val_loss: 156.7531\n",
      "Epoch 5/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 154.9290 - val_loss: 153.6305\n",
      "Epoch 6/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 152.5041 - val_loss: 151.2152\n",
      "Epoch 7/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 150.6139 - val_loss: 149.7052\n",
      "Epoch 8/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 149.1001 - val_loss: 148.9660\n",
      "Epoch 9/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 148.0659 - val_loss: 147.7570\n",
      "Epoch 10/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 147.0666 - val_loss: 147.6917\n",
      "Epoch 11/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 146.3076 - val_loss: 146.3095\n",
      "Epoch 12/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 145.4928 - val_loss: 145.3458\n",
      "Epoch 13/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 144.5499 - val_loss: 144.9502\n",
      "Epoch 14/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 143.7540 - val_loss: 144.4677\n",
      "Epoch 15/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 143.1432 - val_loss: 143.6803\n",
      "Epoch 16/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 142.6026 - val_loss: 143.0081\n",
      "Epoch 17/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 142.0712 - val_loss: 142.5021\n",
      "Epoch 18/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 141.6286 - val_loss: 141.9978\n",
      "Epoch 19/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 141.0361 - val_loss: 141.7281\n",
      "Epoch 20/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 140.7152 - val_loss: 141.6205\n",
      "Epoch 21/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 140.3908 - val_loss: 141.1938\n",
      "Epoch 22/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 139.9575 - val_loss: 140.9428\n",
      "Epoch 23/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 139.5266 - val_loss: 140.1973\n",
      "Epoch 24/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 139.3512 - val_loss: 140.5412\n",
      "Epoch 25/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 139.0485 - val_loss: 139.7577\n",
      "Epoch 26/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 138.7309 - val_loss: 139.9772\n",
      "Epoch 27/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 138.6711 - val_loss: 139.8133\n",
      "Epoch 28/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 138.3462 - val_loss: 139.4482\n",
      "Epoch 29/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.9591 - val_loss: 139.2998\n",
      "Epoch 30/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.7943 - val_loss: 139.5603\n",
      "Epoch 31/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.8588 - val_loss: 139.8108\n",
      "Epoch 32/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.8759 - val_loss: 138.8717\n",
      "Epoch 33/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.3957 - val_loss: 139.0102\n",
      "Epoch 34/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.6190 - val_loss: 139.1733\n",
      "Epoch 35/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.2231 - val_loss: 138.3787\n",
      "Epoch 36/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 137.0637 - val_loss: 138.3935\n",
      "Epoch 37/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.8675 - val_loss: 138.3152\n",
      "Epoch 38/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.7563 - val_loss: 138.2800\n",
      "Epoch 39/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.7312 - val_loss: 138.1226\n",
      "Epoch 40/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.4305 - val_loss: 137.8662\n",
      "Epoch 41/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.2378 - val_loss: 138.0978\n",
      "Epoch 42/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.1312 - val_loss: 137.6568\n",
      "Epoch 43/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.0233 - val_loss: 137.8836\n",
      "Epoch 44/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.0806 - val_loss: 137.7635\n",
      "Epoch 45/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 136.0196 - val_loss: 137.7106\n",
      "Epoch 46/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 135.8291 - val_loss: 137.7277\n",
      "Epoch 47/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 135.7708 - val_loss: 137.7822\n",
      "Epoch 48/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 135.6874 - val_loss: 137.1824\n",
      "Epoch 49/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 135.6784 - val_loss: 137.2700\n",
      "Epoch 50/50\n",
      "600/600 [==============================] - 7s 11ms/step - loss: 135.3959 - val_loss: 137.3508\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.src.callbacks.History at 0x7f22e208ae50>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# train\n",
    "vae_flat.fit(\n",
    "    x_tr_flat,\n",
    "    shuffle=True,\n",
    "    epochs=n_epoch,\n",
    "    batch_size=batch_size,\n",
    "    validation_data=(x_te_flat, None),\n",
    "    verbose=1\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualize Embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "height": 64
   },
   "outputs": [],
   "source": [
    "# Build encoders\n",
    "encoder_f = Model(inputs_flat, z_flat)  # flat encoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "height": 149
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot of the digit classes in the latent space\n",
    "x_te_latent = encoder_f.predict(x_te_flat, batch_size=batch_size,verbose=0)\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(x_te_latent[:, 0], x_te_latent[:, 1], c=y_te, alpha=0.75)\n",
    "plt.title('MNIST 2D Embeddings')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example: compare three embeddings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "height": 30
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x_te_flat[10].reshape(28,28));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "height": 30
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x_te_flat[13].reshape(28,28));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "height": 30
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(x_te_flat[2].reshape(28,28));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "height": 149
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Embedding for the first ZERO is  [-0.45180643 -2.0705218 ]\n",
      "Embedding for the second ZERO is [-0.47499925 -1.4389609 ]\n",
      "Embedding for the ONE is         [0.35607708 1.8961898 ]\n"
     ]
    }
   ],
   "source": [
    "# calculate vectors for each digit\n",
    "zero_A = x_te_latent[10]\n",
    "zero_B = x_te_latent[13]\n",
    "one = x_te_latent[2]\n",
    "\n",
    "print(f\"Embedding for the first ZERO is  {zero_A}\")\n",
    "print(f\"Embedding for the second ZERO is {zero_B}\")\n",
    "print(f\"Embedding for the ONE is         {one}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using more advanced models based on the Transformer architechture you can embed sentences aswell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "height": 81
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ca4d61c7ca924329aa80fda794afd8eb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading .gitattributes:   0%|          | 0.00/690 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "850735a302084419a105df0505431b57",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading 1_Pooling/config.json:   0%|          | 0.00/190 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e67610f998ec47829b4b7627f5afaa58",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading README.md:   0%|          | 0.00/3.69k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f5eeae99c1994325b8ea1dd461176d15",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading config.json:   0%|          | 0.00/629 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e14a9ac225a5471d9c4d812e49dce96d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading (…)ce_transformers.json:   0%|          | 0.00/122 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d26695c820d04fa8af91c5c2f0ac4b90",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading pytorch_model.bin:   0%|          | 0.00/90.9M [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4de760b18ce645949dba49eff589a2f7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading (…)nce_bert_config.json:   0%|          | 0.00/53.0 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fde5bffb56534606a6d20782013c5776",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading (…)cial_tokens_map.json:   0%|          | 0.00/112 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d644338bcf084f859f3062d80b3b1b3a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading tokenizer.json:   0%|          | 0.00/466k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bc31430cb1ec48ab924563d477daba4a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading tokenizer_config.json:   0%|          | 0.00/314 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3a7f2afd0ab3453ba398702758d3d516",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading vocab.txt:   0%|          | 0.00/232k [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2462e65637dc46d78eebd040562cd3b7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Downloading modules.json:   0%|          | 0.00/229 [00:00<?, ?B/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sentence_transformers import SentenceTransformer\n",
    "\n",
    "model = SentenceTransformer('paraphrase-MiniLM-L6-v2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "height": 98
   },
   "outputs": [],
   "source": [
    "#Sentences we want to encode. Example:\n",
    "sentence = ['The team enjoyed the hike through the meadow',\n",
    "            'The national park had great views',\n",
    "            'Olive oil drizzled over pizza tastes delicious']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.3706197   0.2641425   0.21265654 ...  0.14994532 -0.2579492\n",
      "  -0.2397075 ]\n",
      " [ 0.66933304  0.40094963 -0.48208407 ...  0.10645866 -1.5067165\n",
      "  -0.01547357]\n",
      " [-0.2655591   0.11172403 -0.14733036 ...  0.42197466  0.88394594\n",
      "   0.10763935]]\n"
     ]
    }
   ],
   "source": [
    "#Sentences are encoded by calling model.encode()\n",
    "embedding = model.encode(sentence)\n",
    "\n",
    "#Preview the embeddings\n",
    "print(embedding)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "height": 30
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 384)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "embedding.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "height": 319
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x100 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAABhCAYAAADLJ1d5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAALe0lEQVR4nO3dfWhW9f/H8ed1Xc7NpUwspy3vMjVz1jRNbQRZLdTKIkIiIlSoyPAPm3+UBKv+qAWFRSUIQqyIyqiMEJJABLvRpNlKG1aSNWvea9qmbW5evz/2Ox/PNfvGdJ7p4PmAA+6465z3ufuclx8/5zqpbDabRZIkSRIA6QtdgCRJknQxMSBLkiRJMQZkSZIkKcaALEmSJMUYkCVJkqQYA7IkSZIUY0CWJEmSYgzIkiRJUowBWZIkSYrp09VffOCBBwAYOnQo8+bNA2Dz5s3s2rULgGHDhoXfTaVSAFxzzTUA1NXVUVpaCsCePXv4+++/w7IARo4cyU8//QRAc3MzAwcOBOC3334DYMSIEZw4cSL8GeDLL79k4sSJAIwbN44dO3YAcOmllwKwbds2iouLAZg8eTKffvopAJdccgkAt99+O2vWrAEI2/PCCy8wY8aM8Jl9+/YB8M8//wCQyWRCndu3b2f06NEADBgwIKzz1ltvBaC9vR2AtrY29u7dC0BjYyMPPfQQAOvXrwfg6aefZuXKlQD88MMPLFq0KGc73nvvPdLpjn/H9OvXj2uvvRaAhoYGAE6dOkVjYyNAWPfhw4dpbm4G4JdffqGiogKArVu3hs9G9S1ZsoQPP/wQgD///DPsm507dwKE/TF27FiefPLJsB/y8vIAmD9/PgCLFy/mxRdfBDqO4aFDh3L2986dO8O8oqIiAK6//vqwzuHDh7Nx48awnQDl5eVs2rQJgGw2y/Hjx4HT58D27dvDtkXLSafTTJkyBYC1a9dyxx13ALBhwwYAWltbwz6sr68nk8kAHecgdJyrffv2BWDOnDkAvPTSS7z22mthna2treHPACdOnAjn8o8//njGMktLS9m2bRsAkyZNAuDQoUPs2bMnbFt0Lkf7vV+/fuE6gtPXQnSsJ06cyF9//QXArFmzADh58iT19fXhGB09ejSsP1r2sWPHgI5zNlr+7t27ASguLubXX38FYMqUKeTn5wOE47Jw4cKw/pMnTwJw4MABLr/88rBNBQUFwOlrpqCgIOyvYcOGEb24M6p92LBh4fx/7LHHAPjuu+8YN24c0HFNRed/dM6OHTuWq666CoCmpiY++ugjAO69914A3n//fYYPHw4QPrt//35KSkoAGDVqVKgvajfGjx/PqVOnwn6aNm0aALW1tWE5TU1NAOH8WLRoEe+8807YzqjdivZbW1tbOJ4jRowIxyPaH1dccQVtbW3A6Tazra2Nq6++Ouzj6DqLzqmXX345tGv33Xdf2L7ouJ48eTKsM9rXhYWFob0YOXJkaJejejOZDF999RUA/fv3D8v6448/gI7r9corrww1R9sbnb/FxcWsXr0agDFjxgBw5MiRcB0fPXqUu+66CyC0n01NTeEYZrPZUGu07t27d3PTTTcBhHY4Ly+PLVu2AB3nz6OPPhp+F+D111/nnnvuATrawMLCQoDQbhw/fpwjR44A8OCDDwId1/azzz4barvtttsAWLVqFQCzZ88OtS1fvpwlS5YAhHtHKpUK1+YNN9wAwMyZM8MxKCsro6qqCoDrrrsOgAkTJoT7ZlNTE7NnzwbgjTfeAODhhx8Ofz9o0CAAvv/++3CPbWxs5JVXXgFgwYIF4RhE98jx48eH8/ubb74BOu5x0fInTJgAQEVFRWij3n77bX7++WcAHn/8cQDWrVvHzTffDMAXX3wRzt9oO/v168fatWsBuPPOO8P6ovMrk8nw8ccfA6evmSeeeILPPvsM6GjDovYmuiccP36c33//Hei4P0BHmxpd+6Wlpbz77rsA4Vh8/fXXYdvvvvvucM1G94n6+vqQX9asWcP06dMBwv1o8+bN4VyL7tW1tbWUl5cDHcfzgw8+AE5f29OmTQttx6pVq0IbHF0zM2bMCPt+6tSpQMd9N1rngAEDmDt3LgAHDx4M6xw8eDDQcd+M9knUVpaUlIT1R8fi888/Dzlk6dKlZ7SlF6PofhGJ2pGLUZcDsiRJknSu+vTpPbGz91QqSZKkXiv6X7HewDHIkiRJSlwmk8mZzsbGjRuZO3cuJSUlpFIpPvnkk2SK/H8GZEmSJCWuOwG5ubmZsrIyVqxYkVB1uRxiIUmSpMR1Z4jFnDlzwsPzPcGALEmSpMR1fkivpaWFlpaWnHn5+fnhGzsuJIdYSJIkKXF5eXk5U3V1NUVFRTlTdXX1hS4TsAdZkiRJPaBzD/KyZcuorKzMmXcx9B6DAVmSJEk9oHNAvliGU/wbA7IkSZIS54tCJEmSpJjotePnoqmpKbzGHWDXrl3U1dUxaNCg8Grx88mALEmSpMSd7Xcfx3377bfccsst4edo7PL8+fOpqanpbmlnMCBLkiQpcd0ZYjFz5kyy2ex5rOa/GZAlSZKUuO68KKSnGZAlSZKUuO4MsehpBmRJkiQlLp3uPe+nMyBLkiQpcQ6xkCRJkmIcYiFJkiTFOMRCkiRJivFNepIkSVKMQywkSZKkGAOyJEmSFGNAliRJkmIMyJIkSVKMD+lJkiRJMQZkSZIkKcbvQZYkSZJiHIMsSZIkxeTl5V3oErrMgCxJkqTE9aYe5N4zGESSJEm9VjqdzpnO1ooVKxg1ahQFBQVMnz6dLVu2JFBlBwOyJEmSEpeXl5cznY3Vq1dTWVnJM888w9atWykrK2PWrFns378/kVoNyJIkSUpcJpPJmc7G8uXLeeSRR1i4cCETJkxg5cqVFBYW8uabbyZSqwFZkiRJiesckFtaWjh27FjO1NLScsbnWltbqa2tpaKiIsxLp9NUVFSwadOmRGo1IEuSJClxffr0yZmqq6spKirKmaqrq8/43MGDB2lvb2fIkCE584cMGcLevXuTqTWRpUqSJEkxnd+kt2zZMiorK3Pm5efn92RJ/5MBWZIkSYnrPO44Pz+/S4H4sssuI5PJsG/fvpz5+/btY+jQoee1xohDLCRJkpS4zkMsuqpv375MmTKF9evXh3mnTp1i/fr13HjjjUmUag+yJEmSknc2obizyspK5s+fz9SpU5k2bRqvvvoqzc3NLFy48DxWeJoBWZIkSYnrzpv07r//fg4cOEBVVRV79+5l0qRJrFu37owH984XA7IkSZIS150eZIDFixezePHi81TNfzMgS5IkKXHdDcg9qfdUKkmSpF6rO0MsepoBWZIkSYmzB1mSJEmKycvLu9AldJkBWZIkSYlLpVIXuoQuMyBLkiQpcY5BliRJkmIMyJIkSVKMAVmSJEmKSafTF7qELjMgS5IkKXH2IEuSJEkxBmRJkiQpxoAsSZIkxTgGWZIkSYqxB1mSJEmKsQdZkiRJiulNPci9J8pLkiSp10qn0zlTUp5//nnKy8spLCxk4MCB57QMA7IkSZIS11MBubW1lXnz5rFo0aJzXoZDLCRJkpS4nhpi8dxzzwFQU1NzzsswIEuSJClxPqQnSZIkxaRSqZyfW1paaGlpyZmXn59Pfn5+T5b1r3pPlJckSVKvlclkcqbq6mqKiopypurq6n/97FNPPUUqlfrPaceOHeetVnuQJUmSlLjOQyyWLVtGZWVlzrz/1Xu8dOlSFixY8J/LHz16dLfqizMgS5IkKXGdA/LZDKcYPHgwgwcPTqKsf2VAliRJUuJ66iG9hoYGDh8+TENDA+3t7dTV1QEwZswY+vfv36VlGJAlSZKUuJ4KyFVVVbz11lvh58mTJwOwYcMGZs6c2aVl+JCeJEmSEtf5obqk1NTUkM1mz5i6Go7BHmRJkiT1AL8HWZIkSYpJstf4fDMgS5IkKXEGZEmSJCnGIRaSJElSjD3IkiRJUow9yJIkSVKMAVmSJEmK6U1DLFLZbDZ7oYuQJEmSLha9p69bkiRJ6gEGZEmSJCnGgCxJkiTFGJAlSZKkGAOyJEmSFGNAliRJkmIMyJIkSVKMAVmSJEmKMSBLkiRJMf8HQ8I6ts7bQpwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x100 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAABnCAYAAAAdfrRkAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAK6klEQVR4nO3de2hX9R/H8ecu7mtrt8q5hWhr2LKt1NQ0JWrSyOxGt6VEXtaFSmbqJLL+MAxiRGSFdLVsRvcgyyLtstRCVpZSpDnqj2pQNC1ZxqpNN39/fDmnz1cj1Pyq6/d8wEF39j1n753zOZ/z4sNn52Ts2bNnD5IkSZIAyDzSBUiSJElHEwOyJEmSFDAgS5IkSQEDsiRJkhQwIEuSJEkBA7IkSZIUMCBLkiRJAQOyJEmSFMje3w+uWbMGgI8//phTTjkFgMGDB/P6668DcNxxxwGQk5PDn3/+CUBmZjJ/z5kzhw8//BCA9evXM3nyZADGjRsHwNSpU7n99tsBuOGGG7j++usBOPXUU+P9DBo0CIB+/foBsGvXLl555RUAhgwZwtNPPw3A+eefD0BFRQWtra0A9Pb28u233wJw9tlnA9Dd3U1tbS0Azz33HABDhw6Nf99zzz2Xd955B4BvvvkGgJKSEr744gsAFixYwJYtW+JjAjB69Gii964UFRUBsHXrVjo7OwGYPXs2y5YtSzmudXV1fPLJJwBs3ryZwYMHA/DSSy8BsHDhQlatWgXAxIkTKSwsBGDJkiUA1NbWxttEnysvLycvLw+A3bt38/777wMwY8YMAN566y369+8PwPDhw9m1a1f8WYD8/HzKy8sBWLlyJQBVVVXxOZo1axYnnXRSSh09PT2MGjUKgBNOOIFt27YB0NbWBkBeXl7cbl588UUA7r//ftauXQtAa2srI0aMAGDHjh0ATJ48OT72bW1tHH/88QB89NFHAFRXV3PjjTcCcNdddwHQ2dnJ+PHjAWhpaWHixIkAnHbaaUCy/V188cUAvPrqqwwcOBD4q10tWrQo/v8zzzwDwJdffsmZZ54JwPbt2+np6QHgl19+AeDTTz9l3rx5ALz33nvxsfnuu+8AOPnkkxkwYAAAjz76aFx7VPN5553HtGnTAOL2NXz48Hib1tZWfvzxRwBKS0sB2LBhA5dddlnKupaWFjZv3gzAWWedFZ/DqH1deeWVKe0vajc7d+4Ektdw1KYHDRoUt6GmpiYg2RZzcnIAyM3NBZJtZerUqUCyrSxfvhyA6667DoAxY8bwwAMPAFBQUMDDDz8MwJQpUwAYOXJk/P3GxkYAzjnnnPh4nn766XH7raqqApLtJtp+1KhRvPbaawBcffXVcR1jx44F/jqv7e3tPPjggwA89thj/P777/H+AebNm8fs2bMBmD9/PjfffHNKnR988AEdHR0AcZ83bdo03n333bjmrKysuCaAJ554ghNPPBGARCIRt7Xo2l6xYkXclqKfU11dzQ8//AAkz/sll1wS7x+gsrKS+vp6AGpqauL+LrqmEokEQ4YMAf46rx0dHXHtBQUFfP311wBcccUVQLI/iI7Xk08+SXNzM0B8XpcsWcLSpUsB+OOPP4Dk+Y3aUk5ODpdffjkAxx57LJBsv1F/88YbbzB37lwAysrKAMjIyIjb9KxZs+J+JiMjA4AtW7YwZ84cAL766isg2eaidVdddVVcf9TmX3jhBZ5//nkgeX1E1297ezsAkyZNYuPGjQBxvRUVFfH3AT777DMgeU0DXHvttdx2220ATJ8+ne+//x6AM844A0j2ddG+nn32WQAGDhwY3weqqqpoaWkBiO8nd9xxB+vXrwfgoosu4p577omPIyTPYdSH/fbbb0Cy34raQkFBQVxH1D8ec8wx8T0nPz+fCy+8ECDuM9euXRu3tei6bmtro7KyEki9n9bV1QHw5ptvcsEFFwDJe1fUfqNturq6uOWWWwDi67qsrCzujyoqKuLj8OuvvwLJe+iECROAZLuI+v9o37t37+aaa64BYNOmTUDy/hq189WrV8fXVPRvaWkpK1asAJJ9w1NPPQXAsGHDAFi8eHHcn+Tn58ftJWqLRUVFrFu3DiDOGU1NTXHfMH369Li+6NpZuXJl/HsUFRXR29sLJPt6SF7j0XGIrplVq1bFfcPSpUvjHBTdL4qLi+PzWV5eHu8/aovr1q3j0ksvBYizTW5ubnwdvf322zQ0NADJfHK0ys/PT/k6auNHo/0OyJIkSdLBigYS+gIDsiRJktIuO7vvxM6+U6kkSZL6LEeQJUmSpIAjyJIkSVLAEWRJkiQpED1ZqC8wIEuSJCntHEGWJEmSAs5BliRJkgLRC3H6AgOyJEmS0s4RZEmSJCngH+lJkiRJAUeQJUmSpIABWZIkSQoYkCVJkqSAAVmSJEkK+Jg3SZIkKeAIsiRJkhTwVdOSJElSwOcgS5IkSQFHkCVJkqSAAVmSJEkKGJAlSZKkgAFZkiRJChiQJUmSpIDPQZYkSZICjiBLkiRJAQOyJEmSFPBFIZIkSVLAEWRJkiQpYECWJEmSAj7FQpIkSQo4gixJkiQF+lJAzjzSBUiSJOm/r1+/finLgXrkkUcoKyujf//+jBs3jg0bNqShyiQDsiRJktIuKysrZTkQL7/8Mg0NDdx9991s2rSJESNGMGnSJLZt25aWWg3IkiRJSru9A3JXVxc7d+5MWbq6uv5228WLF3PTTTdRV1dHZWUljz/+OLm5uSxbtiwttRqQJUmSlHZ7T7FobGyksLAwZWlsbNxnu+7ubjZu3EhNTU28LjMzk5qaGlpaWtJSq3+kJ0mSpLTb+zFvd955Jw0NDSnrEonEPtv9/PPP9PT0UFJSkrK+pKSE1tbWQ18oBmRJkiQdBnvPO04kEn8biI8GBmRJkiSl3cG+KGTAgAFkZWXR3t6esr69vZ3S0tJDUdo+nIMsSZKktMvOzk5Z9ldOTg6jR4+mubk5Xtfb20tzczPjx49PR6mOIEuSJCn9/s2LQhoaGpgxYwZjxoxh7NixPPTQQ3R2dlJXV3cIK/yLAVmSJElpdzAvB4lMmTKF7du3s3DhQn766SdGjhzJ6tWr9/nDvUPFgCxJkqS0O9g5yJH6+nrq6+sPUTX/zIAsSZKktPs3UywONwOyJEmS0u7fTLE43AzIkiRJSjtHkCVJkqSAAVmSJEkKZGb2nddvGJAlSZKUdo4gS5IkSQEDsiRJkhQwIEuSJEkBA7IkSZIUMCBLkiRJAZ9iIUmSJAWys/tO7Ow7lUqSJKnPcgRZkiRJChiQJUmSpIB/pCdJkiQFHEGWJEmSAgZkSZIkKeAUC0mSJCngCLIkSZIUMCBLkiRJAadYSJIkSQFHkCVJkqSAAVmSJEkKZGRkHOkS9psBWZIkSWnnCLIkSZIUcARZkiRJCvSlEeS+U6kkSZL6rIyMjJQlXe69914mTJhAbm4uRUVFB7UPA7IkSZLSLjMzM2VJl+7ubmpra7n11lsPeh9OsZAkSVLaHa4pFosWLQKgqanpoPdhQJYkSVLa7T2toquri66urpR1iUSCRCJxOMv6W06xkCRJUtrtPcWisbGRwsLClKWxsfFIlwlAxp49e/Yc6SIkSZL0/+VARpAXLFjAfffd94/727p1K8OGDYu/bmpqYu7cuXR0dBxwbU6xkCRJ0mF3INMp5s+fz8yZM//xM+Xl5YegqiQDsiRJko5qxcXFFBcXH7afZ0CWJEnSf0ZbWxs7duygra2Nnp4ePv/8cwCGDh1KXl7efu3DOciSJEn6z5g5cybLly/fZ/2aNWuorq7er30YkCVJkqSAj3mTJEmSAgZkSZIkKWBAliRJkgIGZEmSJClgQJYkSZICBmRJkiQpYECWJEmSAgZkSZIkKWBAliRJkgIGZEmSJClgQJYkSZIC/wPD7c85Qt0VTAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x100 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "sns.heatmap(embedding[0].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n",
    "plt.gcf().set_size_inches(10,1)\n",
    "plt.axis('off')\n",
    "plt.show()\n",
    "\n",
    "sns.heatmap(embedding[1].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n",
    "plt.gcf().set_size_inches(10,1)\n",
    "plt.axis('off')\n",
    "plt.show()\n",
    "\n",
    "sns.heatmap(embedding[2].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n",
    "plt.gcf().set_size_inches(10,1)\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How can we measure the distance between these Image and Sentence Embeddings?\n",
    "\n",
    "There are many ways to calculate the distances between two vectors.\n",
    "\n",
    "Here we will cover 4 distance metrics that you might find being used in the context of vector databases:\n",
    "- Euclidean Distance(L2)\n",
    "- Manhattan Distance(L1)\n",
    "- Dot Product\n",
    "- Cosine Distance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Euclidean Distance(L2)\n",
    "The length of the shortest path between two points or vectors.\n",
    "\n",
    "![image.png](data:image/png;base64,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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6319866334148337\n"
     ]
    }
   ],
   "source": [
    "# Euclidean Distance\n",
    "L2 = [(zero_A[i] - zero_B[i])**2 for i in range(len(zero_A))]\n",
    "L2 = np.sqrt(np.array(L2).sum())\n",
    "print(L2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6319866"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#An alternative way of doing this\n",
    "np.linalg.norm((zero_A - zero_B), ord=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance zeroA-zeroB: 0.6319866\n",
      "Distance zeroA-one:   4.048145\n",
      "Distance zeroB-one:   3.437138\n"
     ]
    }
   ],
   "source": [
    "#Calculate L2 distances\n",
    "print(\"Distance zeroA-zeroB:\", np.linalg.norm((zero_A - zero_B), ord=2))\n",
    "print(\"Distance zeroA-one:  \", np.linalg.norm((zero_A - one), ord=2))\n",
    "print(\"Distance zeroB-one:  \", np.linalg.norm((zero_B - one), ord=2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Manhattan Distance(L1)\n",
    "Distance between two points if one was constrained to move only along one axis at a time.\n",
    "\n",
    "![image.png](data:image/png;base64,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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "height": 115
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.65475374\n"
     ]
    }
   ],
   "source": [
    "# Manhattan Distance\n",
    "L1 = [zero_A[i] - zero_B[i] for i in range(len(zero_A))]\n",
    "L1 = np.abs(L1).sum()\n",
    "\n",
    "print(L1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.65475374"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#an alternative way of doing this is\n",
    "np.linalg.norm((zero_A - zero_B), ord=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance zeroA-zeroB: 0.65475374\n",
      "Distance zeroA-one:   4.7745953\n",
      "Distance zeroB-one:   4.166227\n"
     ]
    }
   ],
   "source": [
    "#Calculate L1 distances\n",
    "print(\"Distance zeroA-zeroB:\", np.linalg.norm((zero_A - zero_B), ord=1))\n",
    "print(\"Distance zeroA-one:  \", np.linalg.norm((zero_A - one), ord=1))\n",
    "print(\"Distance zeroB-one:  \", np.linalg.norm((zero_B - one), ord=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dot Product\n",
    "Measures the magnitude of the projection of one vector onto the other.\n",
    "\n",
    "![image.png](data:image/png;base64,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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "height": 47
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.1940076"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Dot Product\n",
    "np.dot(zero_A,zero_B)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance zeroA-zeroB: 3.1940076\n",
      "Distance zeroA-one:   -4.0869803\n",
      "Distance zeroB-one:   -2.8976793\n"
     ]
    }
   ],
   "source": [
    "#Calculate Dot products\n",
    "print(\"Distance zeroA-zeroB:\", np.dot(zero_A, zero_B))\n",
    "print(\"Distance zeroA-one:  \", np.dot(zero_A, one))\n",
    "print(\"Distance zeroB-one:  \", np.dot(zero_B, one))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cosine Distance\n",
    "Measure the difference in directionality between vectors.\n",
    "\n",
    "![image.png](data:image/png;base64,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)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "height": 81
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.005403\n"
     ]
    }
   ],
   "source": [
    "# Cosine Distance\n",
    "cosine = 1 - np.dot(zero_A,zero_B)/(np.linalg.norm(zero_A)*np.linalg.norm(zero_B))\n",
    "print(f\"{cosine:.6f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "height": 30
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.95117295, 1.4389007 ], dtype=float32)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zero_A/zero_B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "height": 98
   },
   "outputs": [],
   "source": [
    "# Cosine Distance function\n",
    "def cosine_distance(vec1,vec2):\n",
    "  cosine = 1 - (np.dot(vec1, vec2)/(np.linalg.norm(vec1)*np.linalg.norm(vec2)))\n",
    "  return cosine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance zeroA-zeroB:  0.005403\n",
      "Distance zeroA-one:    1.999573\n",
      "Distance zeroB-one:    1.991140\n"
     ]
    }
   ],
   "source": [
    "#Cosine Distance\n",
    "print(f\"Distance zeroA-zeroB: {cosine_distance(zero_A, zero_B): .6f}\")\n",
    "print(f\"Distance zeroA-one:   {cosine_distance(zero_A, one): .6f}\")\n",
    "print(f\"Distance zeroB-one:   {cosine_distance(zero_B, one): .6f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Now with the sentence embeddings!\n",
    "\n",
    "Dot Product and Cosine Distance are commonly used in the field of NLP, to evaluate how similar two sentence embeddings are.\n",
    "So here we will only use those two.\n",
    "\n",
    "- embedding0 - 'The team enjoyed the hike through the meadow'\n",
    "\n",
    "- embedding1 - The national park had great views'\n",
    "\n",
    "- embedding2 - 'Olive oil drizzled over pizza tastes delicious'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance 0-1: 26.49789\n",
      "Distance 0-2: 2.0785775\n",
      "Distance 1-2: 4.0192113\n"
     ]
    }
   ],
   "source": [
    "#Dot Product\n",
    "print(\"Distance 0-1:\", np.dot(embedding[0], embedding[1]))\n",
    "print(\"Distance 0-2:\", np.dot(embedding[0], embedding[2]))\n",
    "print(\"Distance 1-2:\", np.dot(embedding[1], embedding[2]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "height": 98
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Distance 0-1:  0.5350335538387299\n",
      "Distance 0-2:  0.9639393128454685\n",
      "Distance 1-2:  0.9288790971040726\n"
     ]
    }
   ],
   "source": [
    "#Cosine Distance\n",
    "print(\"Distance 0-1: \", cosine_distance(embedding[0], embedding[1]))\n",
    "print(\"Distance 0-2: \", cosine_distance(embedding[0], embedding[2]))\n",
    "print(\"Distance 1-2: \", cosine_distance(embedding[1], embedding[2]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "height": 30
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.18"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "025457fc6048400dbf847c0c5cb78464": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_7f6c34e3dbf745ebbf17359601d709d6",
      "placeholder": "​",
      "style": "IPY_MODEL_c763f1d1f248475c8af0129d79e791fe",
      "value": "Downloading (…)b8001fa/modules.json: 100%"
     }
    },
    "0335fd912a07400097bfb8098de5f1eb": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_fc9da1463a964359b5cda6a879aeb786",
      "max": 112,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_21a27860f12e43e0b5ba3a1e6cb6fe92",
      "value": 112
     }
    },
    "03b3c8c38dfd49ed809367fa41423daa": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "0934184aed664b8eb41671e2dce592f5": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "0a2f7dfd976f43698b46d2ee4f930594": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_e5260e7642524d679a35589530b6692a",
       "IPY_MODEL_a02d426e0b984945b86920373e68f95d",
       "IPY_MODEL_5fc8041cfba2464ab53b8d641115ab49"
      ],
      "layout": "IPY_MODEL_5b0a3262132e412786b2e1769cf9e680"
     }
    },
    "0bec1953959a4ea9a9eba9c458a39470": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_98a59b9993d841bcabe3540b9abe5405",
       "IPY_MODEL_944c663134a7461b9c2daf03a0ee0037",
       "IPY_MODEL_4ababab62e5247819a786480a4fe4a83"
      ],
      "layout": "IPY_MODEL_b6f87f17da4a41cc8142278b09d77f3c"
     }
    },
    "0beddc365b094536a7367c8a7f7cc54f": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "0d08be47053e45bcaae7602715569d3b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "13529256a79d46fbbbfaf494609327e0": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "1666dd8928524b158c061e3822aaf9c8": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_03b3c8c38dfd49ed809367fa41423daa",
      "max": 231508,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_46671751cccc431397c37e30c29d294c",
      "value": 231508
     }
    },
    "1760bbe283b84afbb98f35e752d36d90": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "176fe1b57660495aae1d7f75dbadbb84": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "194fdda5872b49d78a5dca8a816cfbbb": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "1c7846400b9643de962953546fd01548": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "1ee25e0c706b47dfab7671f36c9e3ea0": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "1f44d5f8dfc94d0cbc15c6d03f63461f": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_9679a45fdcf04656a8c81f2be9747fa1",
      "max": 122,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_1c7846400b9643de962953546fd01548",
      "value": 122
     }
    },
    "21553ec74baf4388bd6b14b17372676e": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "21a27860f12e43e0b5ba3a1e6cb6fe92": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "22759a76c2074086b18a845a1cae43be": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "24bccd99ce094a9ca9f73aa1ef0d4a1b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "287d369ea3cc488da2c7b9fd41a765b9": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "2a255c3cdec34b0b9b590ed05f9ac18b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "2ba3cc1d6cb14bb5926548dc8139fecd": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "2bcba1e8250a4753a786f7e3bb91359b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_5db5931da6164e45ad410bd5245dd5d7",
      "max": 629,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_738a32021fbe4e13937a59cc60eddfed",
      "value": 629
     }
    },
    "33a82c2feb9b429d925bdb6b0a4b64f3": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_a75a921780b5435f880324f819827709",
      "max": 229,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_7fc51864cff749ee965d969065317463",
      "value": 229
     }
    },
    "358407e69316455bac3d3242d61c4c0c": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_1760bbe283b84afbb98f35e752d36d90",
      "placeholder": "​",
      "style": "IPY_MODEL_56e28c32682f42429e9d4024810d187d",
      "value": "Downloading (…)okenizer_config.json: 100%"
     }
    },
    "38fbfee4bf444fd8a446f318c3335309": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "39d231e7425b40b3ac8c411332898387": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_c49511b787b1495ab8b8e53d50b12137",
      "max": 90895153,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_194fdda5872b49d78a5dca8a816cfbbb",
      "value": 90895153
     }
    },
    "3a7ae5bb58124a2d99b6d166979cbb4b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "3b58f4d5f7d24032b34dda78d6640bb4": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_de598a810ed348f3b99703ee2df5d7ab",
      "max": 190,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_fe186d2eacf045ff91db878847d121e7",
      "value": 190
     }
    },
    "42556bbd87d54405864ae6632fe1a7d0": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_9684c496dbf44102b2859fa9f2065937",
       "IPY_MODEL_1666dd8928524b158c061e3822aaf9c8",
       "IPY_MODEL_e33aaab8459b49798d7a7693c8380fcf"
      ],
      "layout": "IPY_MODEL_38fbfee4bf444fd8a446f318c3335309"
     }
    },
    "431147d89adc4e738f7bd96f8edaed64": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "438ae0dc98fc49fe9622f2ca6bcd7d60": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "46671751cccc431397c37e30c29d294c": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "47afc71eaf1c4e999205a736573557b5": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "4ababab62e5247819a786480a4fe4a83": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_f5607a8cd6064471bd6ee228e15dfb26",
      "placeholder": "​",
      "style": "IPY_MODEL_3a7ae5bb58124a2d99b6d166979cbb4b",
      "value": " 690/690 [00:00&lt;00:00, 31.7kB/s]"
     }
    },
    "4bfd6a4026ce490a94ca0b033d1669dd": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "50f98368a40042aa9c7ca357c30bd978": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_8afb3e622b6e4bbfa38f94055e092d34",
       "IPY_MODEL_39d231e7425b40b3ac8c411332898387",
       "IPY_MODEL_61962094327743c0aac444acd819eb87"
      ],
      "layout": "IPY_MODEL_599951b5e51a4e6986b793515f425046"
     }
    },
    "535fe64ce36d4eadbb028cb75cd330be": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_eaeed180a0c047d2ac9c42e43b5e6d56",
       "IPY_MODEL_3b58f4d5f7d24032b34dda78d6640bb4",
       "IPY_MODEL_902f8619c4794f11b4d9e089d985505e"
      ],
      "layout": "IPY_MODEL_b6129556a88e446f86e3157ab1ea581f"
     }
    },
    "538d5841b24444ed87376ee45d3ef9c3": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "53df9b8da45f4f51a0bf332174f3d553": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "56e28c32682f42429e9d4024810d187d": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "572927a28ede44b1a0b0b323f50e465a": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "5767d6030d7446569def16515668e310": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_b13c96a741394c1e8f10aa104df75b26",
       "IPY_MODEL_e76ec015895541a59a276b0dedf85fce",
       "IPY_MODEL_8ba73b5e902d49aea22f1dd7e4d0481a"
      ],
      "layout": "IPY_MODEL_785bd2a809cc4581a960526e771088d7"
     }
    },
    "599951b5e51a4e6986b793515f425046": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "5ac3d34ef0144ea39afee30f447e7088": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "5b0a3262132e412786b2e1769cf9e680": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "5cd6d9ba80904e268948f993cdf620f4": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_c559e3f09f444ca2b12381822dd58e19",
      "placeholder": "​",
      "style": "IPY_MODEL_176fe1b57660495aae1d7f75dbadbb84",
      "value": " 314/314 [00:00&lt;00:00, 13.1kB/s]"
     }
    },
    "5db5931da6164e45ad410bd5245dd5d7": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "5fc8041cfba2464ab53b8d641115ab49": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_69d1b8eade2348f0a605d7002884c800",
      "placeholder": "​",
      "style": "IPY_MODEL_d996b1ce1c694075a3a3cf2b432b051f",
      "value": " 3.69k/3.69k [00:00&lt;00:00, 208kB/s]"
     }
    },
    "61962094327743c0aac444acd819eb87": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_7024eb64c6d546a493aefc2eadb4a8bc",
      "placeholder": "​",
      "style": "IPY_MODEL_572927a28ede44b1a0b0b323f50e465a",
      "value": " 90.9M/90.9M [00:00&lt;00:00, 221MB/s]"
     }
    },
    "6208e5022f1e4ea9bc13b1ce4ed59932": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "639caaff0c5b48b6841ad6f38e0ee259": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_b7891a77961245d5bdfe6aff7c638373",
      "max": 314,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_7f84877a32554593a4087fd01d13bb16",
      "value": 314
     }
    },
    "69d1b8eade2348f0a605d7002884c800": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "6c287686f88a418bad704a654ddb587b": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_0934184aed664b8eb41671e2dce592f5",
      "placeholder": "​",
      "style": "IPY_MODEL_1ee25e0c706b47dfab7671f36c9e3ea0",
      "value": " 112/112 [00:00&lt;00:00, 5.21kB/s]"
     }
    },
    "6cf8bbe4b173498e9f64c05a6793273e": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "6f9921491e5e411798348116aab58b6c": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "7024eb64c6d546a493aefc2eadb4a8bc": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "71c796745a79461b8bbfb9f109e5f69e": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "738a32021fbe4e13937a59cc60eddfed": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "753ef6203f6b4f42a5f83b96f00e7516": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "772f882200424ff888af02f2ad611295": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "77926a9d9cbd4370b59ee799d5580696": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_4bfd6a4026ce490a94ca0b033d1669dd",
      "max": 53,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_772f882200424ff888af02f2ad611295",
      "value": 53
     }
    },
    "77a24aaf48da4d85b5d7fd39b33131f9": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "785bd2a809cc4581a960526e771088d7": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "7c4134447acb472980accdd370a9571e": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "7d82dc5cc07048029c92a1b725aae0c3": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "7f6c34e3dbf745ebbf17359601d709d6": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "7f84877a32554593a4087fd01d13bb16": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "7fc51864cff749ee965d969065317463": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "820efe8f53664438bc49770846cd634a": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "84453afadabb4faa9718074bfea2dc81": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "870e254082244b2c97ffd9562a7f1cda": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_5ac3d34ef0144ea39afee30f447e7088",
      "placeholder": "​",
      "style": "IPY_MODEL_7d82dc5cc07048029c92a1b725aae0c3",
      "value": "Downloading (…)cial_tokens_map.json: 100%"
     }
    },
    "88d752962d034b65b2be67b617bd27d5": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "8afb3e622b6e4bbfa38f94055e092d34": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_aaf5fe38249345b88d0707403ae20d68",
      "placeholder": "​",
      "style": "IPY_MODEL_2a255c3cdec34b0b9b590ed05f9ac18b",
      "value": "Downloading pytorch_model.bin: 100%"
     }
    },
    "8ba73b5e902d49aea22f1dd7e4d0481a": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_88d752962d034b65b2be67b617bd27d5",
      "placeholder": "​",
      "style": "IPY_MODEL_47afc71eaf1c4e999205a736573557b5",
      "value": " 466k/466k [00:00&lt;00:00, 1.88MB/s]"
     }
    },
    "8d3ee5da94b3483fb8d4f76cca3895fb": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_025457fc6048400dbf847c0c5cb78464",
       "IPY_MODEL_33a82c2feb9b429d925bdb6b0a4b64f3",
       "IPY_MODEL_e8d851736bbe4d1395e2e0801daa60ac"
      ],
      "layout": "IPY_MODEL_bdd195b340be424faa30b4b98bf7f874"
     }
    },
    "8fff9494cc1b4e3099e63ce3a95933cc": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "902f8619c4794f11b4d9e089d985505e": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_820efe8f53664438bc49770846cd634a",
      "placeholder": "​",
      "style": "IPY_MODEL_22759a76c2074086b18a845a1cae43be",
      "value": " 190/190 [00:00&lt;00:00, 10.3kB/s]"
     }
    },
    "9427e345f83d47819a4069e550c3b69b": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "944c663134a7461b9c2daf03a0ee0037": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_84453afadabb4faa9718074bfea2dc81",
      "max": 690,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_ee5a0dec85ab4e298a7cdff6fd3afbef",
      "value": 690
     }
    },
    "964948c561f64decbc15095378b6b8f7": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_870e254082244b2c97ffd9562a7f1cda",
       "IPY_MODEL_0335fd912a07400097bfb8098de5f1eb",
       "IPY_MODEL_6c287686f88a418bad704a654ddb587b"
      ],
      "layout": "IPY_MODEL_71c796745a79461b8bbfb9f109e5f69e"
     }
    },
    "9679a45fdcf04656a8c81f2be9747fa1": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "9684c496dbf44102b2859fa9f2065937": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_db0676a1bedc4f95a89514a80ba85fdb",
      "placeholder": "​",
      "style": "IPY_MODEL_99f3dff4f9e646c8b829a32411a3779e",
      "value": "Downloading (…)3bbb8001fa/vocab.txt: 100%"
     }
    },
    "98a59b9993d841bcabe3540b9abe5405": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_9f6e3f39326946c6946fa64c3ab89d29",
      "placeholder": "​",
      "style": "IPY_MODEL_538d5841b24444ed87376ee45d3ef9c3",
      "value": "Downloading (…)001fa/.gitattributes: 100%"
     }
    },
    "99f3dff4f9e646c8b829a32411a3779e": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "9f0c0750d91a4474b124d9b3c699f5af": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "9f6e3f39326946c6946fa64c3ab89d29": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "a02d426e0b984945b86920373e68f95d": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_8fff9494cc1b4e3099e63ce3a95933cc",
      "max": 3693,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_287d369ea3cc488da2c7b9fd41a765b9",
      "value": 3693
     }
    },
    "a1ce73adfdc04b9e906056805b4b158f": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "a30d85af657f42e1920b0268fb81922c": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_358407e69316455bac3d3242d61c4c0c",
       "IPY_MODEL_639caaff0c5b48b6841ad6f38e0ee259",
       "IPY_MODEL_5cd6d9ba80904e268948f993cdf620f4"
      ],
      "layout": "IPY_MODEL_c8bd25c4a5de44f886b94d90274ec3b1"
     }
    },
    "a46989f17a0745aa8aa9e5d07a729019": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "a75a921780b5435f880324f819827709": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "aac6718eb17c4cd5913a37417394121a": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "aaf5fe38249345b88d0707403ae20d68": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "ae914fe1f3d440efacc13d2dc775417d": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "b13c96a741394c1e8f10aa104df75b26": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_21553ec74baf4388bd6b14b17372676e",
      "placeholder": "​",
      "style": "IPY_MODEL_cbd37f9e1b1c433aa9040d8afa7ce9a6",
      "value": "Downloading (…)001fa/tokenizer.json: 100%"
     }
    },
    "b6129556a88e446f86e3157ab1ea581f": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "b66ce3a21fa3466594df8b673935558d": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_c7d95d4096a144a6855ae52d3eba19e6",
       "IPY_MODEL_2bcba1e8250a4753a786f7e3bb91359b",
       "IPY_MODEL_f937853fdef9460ba86d3582d4aa3bc6"
      ],
      "layout": "IPY_MODEL_a1ce73adfdc04b9e906056805b4b158f"
     }
    },
    "b6f87f17da4a41cc8142278b09d77f3c": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "b7891a77961245d5bdfe6aff7c638373": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "bdd195b340be424faa30b4b98bf7f874": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "c49511b787b1495ab8b8e53d50b12137": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "c559e3f09f444ca2b12381822dd58e19": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "c70e53d150ca453e901191fada274d92": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "c763f1d1f248475c8af0129d79e791fe": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "c78440f94f77457f9752403933fa1bac": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_e180de6f2d0c47b6bfce088fc83803de",
       "IPY_MODEL_77926a9d9cbd4370b59ee799d5580696",
       "IPY_MODEL_e83139ac0dbe46f7b5f0d03b8745ba4d"
      ],
      "layout": "IPY_MODEL_cab2b7d22a194ab4a1d822e3094dac8e"
     }
    },
    "c7d95d4096a144a6855ae52d3eba19e6": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_77a24aaf48da4d85b5d7fd39b33131f9",
      "placeholder": "​",
      "style": "IPY_MODEL_0d08be47053e45bcaae7602715569d3b",
      "value": "Downloading (…)bb8001fa/config.json: 100%"
     }
    },
    "c8bd25c4a5de44f886b94d90274ec3b1": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "cab2b7d22a194ab4a1d822e3094dac8e": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "cbd37f9e1b1c433aa9040d8afa7ce9a6": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "cc250f2b5c8c4431b9c8ccb6535352f2": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "d996b1ce1c694075a3a3cf2b432b051f": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "db0676a1bedc4f95a89514a80ba85fdb": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "de598a810ed348f3b99703ee2df5d7ab": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "e08c40099bcb4386a5d9196c7fe60c92": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_f45b2cc72b5b46a995f4be2879f1f07a",
      "placeholder": "​",
      "style": "IPY_MODEL_e92ae9cf534b46c2b81abf2b86b6053a",
      "value": "Downloading (…)ce_transformers.json: 100%"
     }
    },
    "e0ac3a5b158f47bb901391da8c977269": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HBoxModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HBoxModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HBoxView",
      "box_style": "",
      "children": [
       "IPY_MODEL_e08c40099bcb4386a5d9196c7fe60c92",
       "IPY_MODEL_1f44d5f8dfc94d0cbc15c6d03f63461f",
       "IPY_MODEL_e5eec581a3c943eb8ba67049f051519a"
      ],
      "layout": "IPY_MODEL_aac6718eb17c4cd5913a37417394121a"
     }
    },
    "e180de6f2d0c47b6bfce088fc83803de": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_753ef6203f6b4f42a5f83b96f00e7516",
      "placeholder": "​",
      "style": "IPY_MODEL_2ba3cc1d6cb14bb5926548dc8139fecd",
      "value": "Downloading (…)nce_bert_config.json: 100%"
     }
    },
    "e33aaab8459b49798d7a7693c8380fcf": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_438ae0dc98fc49fe9622f2ca6bcd7d60",
      "placeholder": "​",
      "style": "IPY_MODEL_ae914fe1f3d440efacc13d2dc775417d",
      "value": " 232k/232k [00:00&lt;00:00, 6.87MB/s]"
     }
    },
    "e5260e7642524d679a35589530b6692a": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_9f0c0750d91a4474b124d9b3c699f5af",
      "placeholder": "​",
      "style": "IPY_MODEL_24bccd99ce094a9ca9f73aa1ef0d4a1b",
      "value": "Downloading (…)3bbb8001fa/README.md: 100%"
     }
    },
    "e5eec581a3c943eb8ba67049f051519a": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_6208e5022f1e4ea9bc13b1ce4ed59932",
      "placeholder": "​",
      "style": "IPY_MODEL_c70e53d150ca453e901191fada274d92",
      "value": " 122/122 [00:00&lt;00:00, 6.71kB/s]"
     }
    },
    "e76ec015895541a59a276b0dedf85fce": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "FloatProgressModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "FloatProgressModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "ProgressView",
      "bar_style": "success",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_13529256a79d46fbbbfaf494609327e0",
      "max": 466081,
      "min": 0,
      "orientation": "horizontal",
      "style": "IPY_MODEL_53df9b8da45f4f51a0bf332174f3d553",
      "value": 466081
     }
    },
    "e83139ac0dbe46f7b5f0d03b8745ba4d": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_0beddc365b094536a7367c8a7f7cc54f",
      "placeholder": "​",
      "style": "IPY_MODEL_6cf8bbe4b173498e9f64c05a6793273e",
      "value": " 53.0/53.0 [00:00&lt;00:00, 1.86kB/s]"
     }
    },
    "e8d851736bbe4d1395e2e0801daa60ac": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_9427e345f83d47819a4069e550c3b69b",
      "placeholder": "​",
      "style": "IPY_MODEL_431147d89adc4e738f7bd96f8edaed64",
      "value": " 229/229 [00:00&lt;00:00, 8.78kB/s]"
     }
    },
    "e92ae9cf534b46c2b81abf2b86b6053a": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "DescriptionStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "DescriptionStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "description_width": ""
     }
    },
    "eaeed180a0c047d2ac9c42e43b5e6d56": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_cc250f2b5c8c4431b9c8ccb6535352f2",
      "placeholder": "​",
      "style": "IPY_MODEL_a46989f17a0745aa8aa9e5d07a729019",
      "value": "Downloading (…)_Pooling/config.json: 100%"
     }
    },
    "ee5a0dec85ab4e298a7cdff6fd3afbef": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    },
    "f45b2cc72b5b46a995f4be2879f1f07a": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "f5607a8cd6064471bd6ee228e15dfb26": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "f937853fdef9460ba86d3582d4aa3bc6": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "HTMLModel",
     "state": {
      "_dom_classes": [],
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "HTMLModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/controls",
      "_view_module_version": "1.5.0",
      "_view_name": "HTMLView",
      "description": "",
      "description_tooltip": null,
      "layout": "IPY_MODEL_6f9921491e5e411798348116aab58b6c",
      "placeholder": "​",
      "style": "IPY_MODEL_7c4134447acb472980accdd370a9571e",
      "value": " 629/629 [00:00&lt;00:00, 32.2kB/s]"
     }
    },
    "fc9da1463a964359b5cda6a879aeb786": {
     "model_module": "@jupyter-widgets/base",
     "model_module_version": "1.2.0",
     "model_name": "LayoutModel",
     "state": {
      "_model_module": "@jupyter-widgets/base",
      "_model_module_version": "1.2.0",
      "_model_name": "LayoutModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "LayoutView",
      "align_content": null,
      "align_items": null,
      "align_self": null,
      "border": null,
      "bottom": null,
      "display": null,
      "flex": null,
      "flex_flow": null,
      "grid_area": null,
      "grid_auto_columns": null,
      "grid_auto_flow": null,
      "grid_auto_rows": null,
      "grid_column": null,
      "grid_gap": null,
      "grid_row": null,
      "grid_template_areas": null,
      "grid_template_columns": null,
      "grid_template_rows": null,
      "height": null,
      "justify_content": null,
      "justify_items": null,
      "left": null,
      "margin": null,
      "max_height": null,
      "max_width": null,
      "min_height": null,
      "min_width": null,
      "object_fit": null,
      "object_position": null,
      "order": null,
      "overflow": null,
      "overflow_x": null,
      "overflow_y": null,
      "padding": null,
      "right": null,
      "top": null,
      "visibility": null,
      "width": null
     }
    },
    "fe186d2eacf045ff91db878847d121e7": {
     "model_module": "@jupyter-widgets/controls",
     "model_module_version": "1.5.0",
     "model_name": "ProgressStyleModel",
     "state": {
      "_model_module": "@jupyter-widgets/controls",
      "_model_module_version": "1.5.0",
      "_model_name": "ProgressStyleModel",
      "_view_count": null,
      "_view_module": "@jupyter-widgets/base",
      "_view_module_version": "1.2.0",
      "_view_name": "StyleView",
      "bar_color": null,
      "description_width": ""
     }
    }
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}