diff --git a/docs/notebooks/wasserstein_intuition.ipynb b/docs/notebooks/wasserstein_intuition.ipynb index 8365167..8120a0a 100644 --- a/docs/notebooks/wasserstein_intuition.ipynb +++ b/docs/notebooks/wasserstein_intuition.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 110, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -60,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 112, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -73,12 +73,12 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { - "image/png": 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dI/V9UnKGWxOjjxRe8tim5skWRgIAAAAAwSVgk187d+5U3759lZaWpjvvvFO33357mc9NSUnxur+kijAAQSgvW3pvoLR1WclzPHnS6unS/o3StTMkZ4TfwvO1ndkHJEknRdD3EAAAAIB3flv2GGQCsuH9wYMHdf7552vr1q0aNmyYnnnmGatDAhBoPr/n+ImvwrYuk764t3LjqUS/H95hjsez5BEAAAAATkjAJb8yMjJ04YUXav369RowYIDeeOMN2WxkLgEUcmRP/lLHE/Hz+/m9wYLQI+s+MccdYhtbGAkAAACAQGXIJo/hn5eh4MrTBFTy6+jRo7rsssuUnJysCy64QB9++KFCQkKsDgtAoPn5neI9vkrjyZPWvFM58VSyzZn5Sbu4sBoWRwIAAAAAwSdgkl9ut1tDhgzR4sWL1bNnT82aNUuhoaFWhwUgEG1ZXmxXrs2ue9teoLvaXaiNkSX0xdpSxmWSAWTjkd3m+OFTrrIwEgDwburUqbLZbBoxYkSJcwYNGiSbzab58+f7MTIAAKofw7D55RVsAqbh/ZQpUzR79mxJUlxcnEaOHOl13jPPPKO4uDh/hgYg0ORmFNu1oH4bLavTRJJULzdT92z8vkznBbr//fapOe5cu7mFkQCAd0lJSZKk5ORkr8cXL16sGTNmqG/fvurXr58/QwMAAJAUQMmvtLQ0c3wsCebNhAkTSH4B1V1odJHNo7YQvdOwk7m9qG4Ljdr8o6Lducc9Lxj8cWSnJKmmM9LiSADAuzZt2qh27dpau3atsrOzFRFR8GRdl8ul2267TU6nU5MmTbIuSAAAqglPkPXi8peAWfY4YcIEGYZR6qtJkyZWhwrAak26F9mcF99W+8IKElvZIU59Wa+ll/N6VHZkPrU1c585ZskjgEBls9nUrVs3uVwurVmzpsixKVOmKCUlRbfffrtat24tSfrkk0908cUXKyEhQTExMTrrrLO0bFnwLUsHAADBI2CSXwBQZp2GSnanJCnH7tC7haq+jpkb31ZG4R12p9R5qH/i85HHUmaY425xrSyMBACO79jSx5UrV5r79u7dqwkTJig+Pl4PPfSQuX/SpEmKi4vTSy+9pE8//VQNGjTQueeeq19//bVM90pMTPT6Sk1N9e0PBQAAqoyAWfYIAGVWo77U8WppzduandBOB0P/tSTQMLQpqo7W1aivDkf25O/rdI0UXc//sVbAuvStkqTwfxJ9ABCovCW/7r33Xh06dEiTJ09WjRoFT6udP3++6tSpY26fd955OuWUU/TSSy/p9ddf91/QAABUMYYkj5+a0RulTwkoJL8ABKcLn1TWwc16r36T4sds+W/4cxIS85NfjXtIfZ/0b3wVtCPrgDl+pMMQCyMBgNJ17dpVDofDTH4lJydr+vTp6tatm4YOLVp1WzjxJUl2u13t27fX5s2by3SvlJQUr/sTExO1df2OckQPAACqOpY9AghOzgjN7DlGh5wRJU75Nq6Z0k+7Qbp2puQM919sPvBEykxz3KNuWwsjAYDSRUVFqUOHDtq6dat27dql0aNHS5JeeOEF2WzH/wba7XZr1apVatGihT9CBQCgSjMMm19ewYbkF4CglOnK0YfbVxx3Tp49RAs7DAi6xJckrU7bJEkKsdlL/eAIAIHg2NLHESNGaNWqVRo2bJi6dOlS6nlTpkzRtm3bNHLkyMoOEQAABKDevXvLZrOV+Priiy8qfA+WPQIISp9uW6bDrqxS583b8aOuatRTdlvw5Pp3Z6ebY57yCCBYJCUlacqUKZo7d65iYmL0+OOPl3rOypUrde+99+qBBx7QKaec4ocoAQCowgz/9fyqjKZfV1xxhaKjo4vtb9CgQYWvTfILQNA5nJelj7Z9X6a5O7IPaPXBjepSJ3ielvjk+lnm+Jz6fBgEEByOVX5J0vjx41Wv3vEfMrJlyxZddtll6tevn8aPH1/Z4QEAgAD3zDPPqEmTJpVybZJfAAJDxl5pzdvSluVSboYUGi016SF1HlrsKY2fbFuqDFdOmS89Z8ePQZX8+vHAn+aYJY8AgkVWVn41btu2bTVmzJjjzk1PT9fFF1+sJk2a6O233+a9DgAAn/BnP67g+reb5BcAa+VlS5/fI/3ygeTJK3ps07fSd09Ina7Jf1qjM1yH87I0Y/vyE7rFsv3rtf/oIcWFxfgw8MqxL+ewOR7ffrCFkQDAibn77rslSZMnT5bDUfKvmLm5uRowYICysrK0ePFiRUSU/OASAAAAXyD5BcA6ednSewOlrctKnuPJk1ZPl/ZvlK6doZrOSC3sNUE57jxlu3OV5c5RtitXo1a/omx3riTpnrZX5B9zHVWWO1dZ7qPamrkvKJJfz/w+xxxfkNDRsjgA4ERMmzZNCxYs0ODBg9WnT5/jzh05cqSWLFmiN954Q5s3b9bmzZslSWFhYerUqZM/wgUAAAFo6tSpOnDggOx2u1q1aqXLL79cjRo18sm1SX4BsM7n9xw/8VXY1mXSF/dK/SbLbrMr0hGmSEeY6qiGJCkyJMxMfvVrcEZlRVzpvt+73hyzDAhAINuwYYOeffZZbdu2TYsWLVKjRo00ZcqUUs9btGiRPB6P/vOf/xTZ37hxY23ZsqWSogUAoOoz5L+G95XQ717/+9//imyPHTtWDz74oB588MEKX5vkFwBrHNmTv9TxRPz8vnT2/cV6gElSel6mjwKzzsGjGeb4vnZXWBgJAJRu8eLFmjp1qmJiYtSvXz8999xziouLK/U8ElwAAFQNqampSkxM9HosJSWlzNc566yzdNNNNykpKUkJCQnavn27ZsyYof/973966KGHVLNmTd1+++0VitVeobMBoLx+fqd4j6/SePKkNe94PeQ2PD4IylqT/phvji9pcJqFkQBA6UaNGiXDMJSenq65c+eqefPmVocEAEC1Zxj+efnSI488omuvvVbNmjVTRESEWrVqpXHjxmnOnDmSpAkTJig7O7tC96DyC4A1tnhvWr/S1VS7jBidGZKq+vYjXs5bJp01tpKDs8bXu381x3Yb300AAAAACFzNmzc/oQqvE3X++efr9NNP108//aSVK1eqd+/e5b4Wn64AWCM3o9iug0akbs25Vg8evVwv5J5b5vMKiwwJ80V0fncoL8scj21zmYWRAAAAAAhWHtn88vKXli1bSpJ27dpVoeuQ/AJgjdDoYrvm550ql0Lyx65T9ae7eG8vb+cVFhsa5ZPw/O2FPz4zx/0bBm/DfgAAAADwlbS0NElSVFTFPueR/AJgjSbdi2wahjTbVfCIe0M2veit+qtJj+NeNtZ5/ORYoFr49xpzzJJHAAAAAOVhGDa/vPxh3759Wrp0qSSpc+fOFboWn7AAWKPTUMnuNDfXek5WqqeeCh6aa+g7d2v97G5YcI7dKXUeetzLBmPlV0Zejjm+rdXFFkYCAAAAAP6zYsUKzZkzR263u8j+LVu2qH///srMzNSll16qk08+uUL3oeE9AGvUqC91vFpa87YkaXbesaovW5H/nXT0PE2PeEs2m6RO10jRXpZCFhLrDL7k15S/FprjQY2SLIwEAAAAAPznzz//1LBhwxQfH6/OnTsrNjZWW7du1erVq5WTk6PExES98cYbFb4PyS8A1rnwSelAqrK2JOtzV3svEwyt8TTWUndLndW8vtT3yVIvGVtKT7BANHdHsjl22EMsjAQAAABAsDIkefy0JNEofUqZnHHGGRoxYoRWrlypVatWKS0tTVFRUerYsaMGDRqkESNGKCIiosL3IfkFwDrOCOnaGfryrf8p609vT2nMf+OeHDJIPa6+TXZneKmXDLZlj1muo+b41hYXWBgJAADeOVweSS6rw/DKkeeW3eOR3TDk8ARmjIU58vKX9bgcduWXtQNA9da2bVu9/PLLlX4fkl8ArOWM0KzcUySV/OjaPzNDtTBliy7p3LbUy9UKsmWPr2380hxf0+QsCyMBAMC7WxYstTqEEtk9HnX9fYvCD+VvewL8oTHOdzMkSZ9cd7pcTqq9AfiYkf8gMX/dK5iQ/AJgqU17DuiXLSUnvo6Z8sUKXdChlZyO4/+iGGyVX59sW2GOWfIIABVjRIfraO8uVodRqpy6gf+Jweky5IqUoiKOlj7ZQna3R06nWzYjRDZP4BdTXRC7XpLUpfE2KTRwg73gjNFWh1Bmxt7SVwYEgphmB60OoUxyOzW3OoQyy60Z+OkMzzdflj4JfhH4f1oAVGmzklPKNG/nwcOasXKdhnTvWOyY2/CY41hn8PT8ynHnmuMbm51rYSQAABSVFxKiV84+V7U67Lc6lOPKX0b4o8IOOvVRg55yBfAXSQ7Do4uVXPpEAKgAw089v4INyS8AlslzuTXvp/Vlnv/a1yt12entFBkWWmT/0UJJpGCq/HozdZE5vr7Z2RZGAgDAv9hsynM4gmJpnifEJo/NLpc9RC57AH+8CYKeZABQVQX2ongAVdqSDZuUlpld5vkHMrL03tKfi+0/lJdljms6I30Smz+8v+V7cxwayL+sAwAAAAgCNhmGf17HHk4WLPi0BcAyM1f+JkmKDHMqJiJcNSPDlZObp6370yVJQ8/qrFrREYqJDFfNiHDFRIarXs3ilV3puZnmODwktNjxQJRb6Nvf65r0sjASAAAAAKjaSH4BsMzEIX0VHRZapIn9/iOZOvvh1yVJw84+XXE1Sl/GmJ6XYY5DAvwpT8e8tWmxOb6x+XkWRgIAAAAAVRvJLwCWqRUVUWxfTGTBE3v2pB8pW/KrUOVXsJheKPkVHuK0MBIAAAAAVYWHhvdeBUeJBIBqwxlSUAW2Oz3jODMLpOUFV/Irr9CSxysbdbcwEgAAAACo+qj8AhCwdqUfLtO8YKv8KtzofniL8y2MBAAAAEBVYUgyDP/dK5hQ+QUgYJW18is9t2zzAsVrG78yx5GOMAsjAQAAAICqj8ovAAFrd/qRMs1LD6Jljy6P2xz3P/kMCyMBAAAAUNUY9PzyisovAAFrV1mTX0G07PGTbcvN8ahWF1oYCQAAAABUD1R+AQhYZa/8Cp5ljy/+udAcRznCjzMTAAAAAE6A4cfKryBr+kXlF4CAtfdQWXt+BUfll9vwmOOLTzrNwkgAAAAAoPog+QUg6GW5j1odQpnM2v6jOR7T+mILIwEAAACA6oPkF4CAUyO8aj4B8bnf55njGGekhZEAAAAAqIoMP72CDckvAAGnfmx0uc4LsQXuW5qn0JLHPvGnWhgJAPjW1KlTZbPZNGLEiBLnDBo0SDabTfPnz/djZAAAAPkC95MigGorIbZmuc6LdUb5OBLfmb/zJ3P83zb9LIwEAHwrKSlJkpScnOz1+OLFizVjxgz17dtX/frx/gcAQGUyDJtfXsGG5BeAgBNfzsqv2NDynecPT6yfZY5rBXCcAHCi2rRpo9q1a2vt2rXKzs4ucszlcum2226T0+nUpEmTrAkQAABUeyS/AASchFrlrPwKDczKL8MoWBXfq16ihZEAgO/ZbDZ169ZNLpdLa9asKXJsypQpSklJ0e23367WrVtLkt5++22dfvrpio2NVVRUlDp37qyPPvrIitABAKh6aPrllcPqAADg38pd+RWgyx4/31XwYXBs28ssjAQAKkdSUpIWLlyolStXqnv37pKkvXv3asKECYqPj9dDDz1kzk1LS9Pll1+ujh07Kjw8XHPmzNGQIUMUHh6uyy+/vNR7JSZ6/xIhNTVVIc4Yn/w8AACgaiH5BSDgxBfq+WUYhmy2sq0pD9TlhI/+9qk5jgsrX1UbAASyY32/Vq5cae679957dejQIU2ePFk1atQw999xxx1Fzj3vvPP0yy+/6P333y9T8gsAAOBEkfwCEHAKV35lHs1VdHhYmc4LxMqvwksek+JaWxgJAFSerl27yuFwmMmv5ORkTZ8+Xd26ddPQoUNLPb9OnTrKy8sr071SUlK87k9MTNSWbfvLHjQAAFVQMDaj9weSXwACTlyNgiTW3sOZZU9+BWDPr2/2rDPH/9euv4WRAEDliYqKUocOHbRmzRrt2rVLo0ePliS98MILJVbvulwuZWVl6fPPP9fXX3+tmTNn+jNkAABQjZD8AhBwwp0Fb027046oWb3aZTov1hl4yx7Hr/3QHNcPj7UuEACoZElJSVqzZo1GjBihVatW6cYbb1SXLl28zt29e7cSEhIkSSEhIXr55Zd14YUX+jNcAACqHEOS4adm9MHW856nPQIIOIWrBHanHznu3MLLCgOt8sswDHn++WfhtNrNLY4GACrXsb5fc+fOVUxMjB5//PES58bFxWnVqlVavHix7rrrLo0ePZrKLwAAUGmo/AIQ0HalHz7u8VyPyxzHBFjPr6X71pvj+9oNsDASAKh8x5JfkjR+/HjVq1evxLkOh0Onn366JOnss8/WwYMHdd999+mKK66o9DgBAKi6bH7s+RVcvcWo/AIQ0HanZxz3eKYrxxwHWuXXQ2s/MscNIutYGAkAVL6srCxJUtu2bTVmzJgTOrdjx47atGlTZYQFAABA5ReAwFbassf0vExzHOUIr+xwTshRT/6TyzrENrY4EgCofHfffbckafLkyXI4TuxXzBUrVqhJkyaVEBUAANWIIclflV9B1vSL5BeAgFZq8iu3oDLMaQup7HDK7If9f5jj+xMHWhgJAFS+adOmacGCBRo8eLD69Olz3Llnn322rrjiCrVp00Y5OTmaO3euPvjgA73++ut+ihYAAFQ3JL8ABLRdacfv+ZVWqPKrcKN8qxV+ymOjqLoWRgIAlWPDhg169tlntW3bNi1atEiNGjXSlClTSj3v1FNP1Ysvvqjt27crKipK7dq10/z583XJJZf4IWoAAFAdkfwCENCOutzHPZ6em3nc41Y58k8vsjY1G1gcCQBUjsWLF2vq1KmKiYlRv3799NxzzykuLq7U8yZNmqRJkyZVfoAAAFRDRpAtR/QXkl8AApLDbpfL4yl1XuFlj4HipwMbzfEDiYMsjAQAKs+oUaM0atQoq8MAAAAoFU97BBCQ6sdGl2le4Yb3gWLCuo/NcfMa8RZGAgAAAKBaMfz0CjIkvwAEpPjYGmWaF4jLHg/k5jfpbxZd3+JIAAAAAAAsewQQkBLKmvzKC6xlj7+mbTHHD7W/0rpAAAAAAFQ7hhE4DwELJCS/AASkhFo1yzQv0Cq/Jqz7yBy3Lmeze9f+/UqfMUNZyavkycyUPSpKkV27KnbgFXKUoZk0AAAAAKAAyS8AASk+Jjh7fu3OSZcknRxZ54TP9eTkaM9jE5U+e7bkchU5lrlihfZNmaLYAQNU//5xsoeF+SJcAAAAAFVJEPbj8geSXwACUjD2/Fp/aLs5ntB+8Amd68nJ0fabb1HWqlUlT3K5lP7JJ8rdvFkN33hd9vDw8oYKAAAAANUGDe8BBKT4Qssec/9VBVWYEUBfbTy87hNznBjb6ITO3fPYxOMnvgrJWrVKeyY+fkLXBwAAAIDqisovAAGpfqFljwczsstcCWalbVn7JEn1w2NO6DzXvn35Sx1PQPqsWap72xh6gAEA8A+H4ZE8JX9hZjWHxy25//nSLjdwvrzzxvnPF495ISGSjebZQDCh4b13JL8ABKQa4QU9rXalHS41+RXtiKjskI7rryN/m+MJp1x1Quemz5xZrMeXlL9cv8R/ulwupc+Yqbhbh5/QvQAAqKqu3LnM6hCOy254FJGcJ0mqrUwpxOKAjmPk9iWSpJcv76U8Bx8ZAQQ/3skABCS7vSDtszs9o9T5saFRlRlOqR4ptOSxY62mJ3RuVrL35Y7TInsowsjV+UfXK85T/L9BVnKyRPILAEyGzSZ3WOB39Wjx1l6rQyizvT3rWR3C8bld8qyPkuEI3IqvYwzDpg1Z8ZKkX/afLI89cP+sOv92SpIi1kTKGRLYHxlP+u6Q1SGUybYLT/xhSFZwh+VZHUKZhRwN7ApKSbIZfo7RkP8a3gf+f/4iAvudDAAk7U4/UuqcWKe1ya+NGbslSbXKEYcns3jT/kO2CK0NbShJ6p67Ud4WN3o7DwCA6sRlD9HUjucqdvNRq0MplcPj0hUN8uN858oz5ArQiiqH263BT6ZYHQYA+FRgvuMCQCG7Ajz5tTljjzl+uMOQEz7fHlU89hkRp5njRu6DZT4PAIBqxWaTK8Qhl91tdSRlcqzay+VwyOUM4HWPAIIYPb+8CdxaWwD4R5kqvyxc9vi/32aY4y51Wpzw+ZFduxTbd6zqSyr5n6/Irl1P+F4AAAAAUN2Q/AIQ8MqW/IoudU5lWX94uyQpyhFWykzvYq+4Qiq09CHTFmqOB2Z57wcmh0OxA68o1/0AAAAAVFGGn15BhuQXgIAXyD2/tmfuN8ePnHLiSx4lyVG3rmL79ze354V3NMfdc1O9nhM7YIAccd46gQEAAAAACiP5BSDgpWVmlzrHqmWPE1MKljyeGde63Nepf/84RXbJX/74Y1hzc7/dy9cqkV26qP7948p9LwAAAACoTkh+AagSYp3WLHv8JX2LJMlpC5HNVv7mkvbwcDV843VFDLjS3Hdx9q9FJzkcir3ySjV88w3Zw8q3xBIAAABAFcayR6942iOAgFU7OlIHM7JKPO7yFDzZyYrKr13ZBU9hfKQcT3n8N3t4uL5K6CHpB0lSv86xsmedKntUlCK7dlXswCtY6ggAAAAAJ4jkF4CAFR8bfdzkV44n1xxbkfx6Yv1sc9yrXqJPrjnj/R/McbO3pvrkmgAAAACqCaP8q1GqMpY9AghY8bE1jnv8UG5BYqymI7Kywykm+cBf5rgiSx6PycsrqGQbeHW3Cl8PAAAAAEDlF4AAllBK8istL8Mch4c4KzucIvbmHDLHD59ylU+uOeP9Feb4upt7++SaAAAAAKoPIwj7cfkDlV8AAlZCbM3jHk/PzTTHdpt/386eKrTksU/8qT655luvfmuOIyJCfXJNAAAAAKjuqPwCELDqxx7/CY6Fk1/+tnz/7+bYF0se3W6POb7gko4Vvh4AAACAaojKL6+o/AIQsAr3/HJ7PMWOpxda9uhPB44eMccPJA7yyTU/n7vGHN88po9PrgkAAAAAIPkFIIAVTn4dyT5a7LhVlV/P/j7PHF90UmefXPOFpxaa45oxET65JgAAAACAZY8AAlid6IInOO45lKHYqKJJoUN51iS/vt2zzhz7YsmjUagrZVKv1hW+HgAAAIBqyLDlv/x1ryBC5ReAgOV0hJjjXWmHix23ovKr8D3/r21/n1xzyaL15nj0XRf65JoA4C9Tp06VzWbTiBEjSpwzaNAg2Ww2zZ8/34+RAQCAYHPgwAHVq1dPNptNLVq08Nl1qfwCEBR2pxfv75VuQeXXpD8KPrhddnIXn1zzyQkFT46Mq3f8J1wCQKBJSkqSJCUnJ3s9vnjxYs2YMUN9+/ZVv379/BkaAADVji3IG97fdddd2r9/v8+vS+UXgKCw+9CRYvvSc/3f8P7LXb+YY7vNN2+hx570eEqnRj65HgD4U5s2bVS7dm2tXbtW2dnZRY65XC7ddtttcjqdmjRpkjUBAgCAoPDNN9/o7bff1s033+zza5P8AhAUdqV5SX75ufLrcF6WOb6j9SU+ueZPK1PN8X/voyICQPCx2Wzq1q2bXC6X1qxZU+TYlClTlJKSottvv12tWxfvabhu3To5HA6dfPLJ/goXAICqzfDTy8eys7M1fPhwtWvXTmPHjvX59Vn2CCAo7E4v3vMr253r1xim/FnwRMaBjZJ8cs3CSx5PblTHJ9cEAH9LSkrSwoULtXLlSnXv3l2StHfvXk2YMEHx8fF66KGHvJ53xx13qE6dE3vvS0xM9Lo/NTVV9tDYE7oWAAAIDA8//LA2bdqkJUuWyOl0+vz6VH4BCAreen752/ydP5njEB8teTyUll9N1rR5PZ9cDwCscKzv18qVK8199957rw4dOqQnnnhCNWrUKHbOnDlztGnTJt14441+ixMAgCrv2BMfK/vlQ2vXrtWzzz6rYcOGqWfPnj699jFUfgEICrvTiy97PMZpCynxmK9kunLM8aiWvnki44bfdpjjsQ9e5pNrAoAVunbtKofDYSa/kpOTNX36dHXr1k1Dhw4tNj83N1djx47VE088oQ0bNpzQvVJSUrzuT0xM1ObtB048eAAAYBmPx6ObbrpJsbGxeuqppyrtPiS/AAQFj1HywvLY0OhKv//Lf31hjq9q3MMn13z6kbnmuGWbBJ9cEwCsEBUVpQ4dOmjNmjXatWuXRo8eLUl64YUXZLMV/3Z40qRJqlu3rgYPHqwJEyb4OVoAAOALqampJbYjKOnLqn978cUXtWrVKr311lsn3ArhRLDsEUBAi3CWnqOPdUZVehyztv9ojh1231Sa7diWX6EQV7f4ciAACDbHlj6OGDFCq1at0rBhw9SlS5di8/bs2aPHHntMzz33nL9DBACg6guihvfbtm3TAw88oF69eumGG27wzUVLQOUXgIAWX6umNu89eNw5saGVm/zKdhU01r+5eR+fXHPr5n3m+P8mXO6TawKAlZKSkjRlyhTNnTtXMTExevzxx73OGzdunPr27aszzzzTzxECAABfat68eZkrvLwZNWqUcnNz9eqrr/owKu9IfgEIaPGx0ZYnv95I/cocX9e0l0+u+dxj88xxx9Oa+uSaAGClY5VfkjR+/HjVq1f8QR6//fab3nvvPf34449KT0+XJOXk5MgwDKWnpysyMlKhoaH+ChkAgKrHR1VZ/vDZZ58pNjZWt956a5H9OTn5/ZZ37typ3r17S5I++ugjxcfHl/teJL8ABLT42NKXBMY6K7fn14dbl5ljp903b5sbftspSQoL9/1jfAHACllZ+U+vbdu2rcaMGeN1zsaNG5Wbm6vOnTsXO1arVi298sorxX4BBgAAVVd6erqWLFni9VhOTo557FhCrLxIfgEIaAllSX5VYuVXjjvPHF/f9GyfXHPPrnRzfO/D/X1yTQCw2t133y1Jmjx5shwO779i9ujRQ99++22RfdOnT9eCBQv06aefqlWrVpUeJwAAVZYP+3GV6V4VvUQJDzXbsmWLmjZtqubNm2vjxo0Vv5FIfgEIcPGxNUudU5kN79/a9I05HtbsHJ9c88WnF5rjpLNa++SaAGCladOmacGCBRo8eLD69Cm5N2JcXJy5fOGY7777TmFhYcX2AwAA+ArJLwABLT62YEmjYRiy2WzF5sSGVt6yx3c2f2eOw0J8s0QxeUXBtxfefh4ACAYbNmzQs88+q23btmnRokVq1KiRpkyZYnVYAABUbwafL7yxWx0AABxP4Z5f2bkuc1y4RLaylj3meQruN6RxD59cMz0t0xzfeX8/n1wTAKywePFiTZ06VcnJyerXr58WL16suLi4E77OhAkTtGPHjkqIEAAAIB+VXwACWr2aBVVd+49kqlFYrCQpt1BiqlYlLXssXPV1c/PzfXLNVycVPDny/Is7+uSaAGCFUaNGadSoUVaHAQAAqpgmTZqU2A+svKj8AhDQIsMKlhruTj9ijo+4ss1xTCUlv95MXWSOIxyhPrnm4i/XmWO7nZJkAAAAAL5jM/zzCjYBl/zKzs7WQw89pFatWik8PFwnnXSSbrzxRu3cudPq0ABYoHBPrF1ph81xem7B8sFIR5jP7+vyuM3xFQ3P9Mk1MzOPmuNbxpTcEBoAAAAA4DsBlfzKycnROeeco0cffVQZGRm67LLL1LBhQ7311lvq1KmTNm3aZHWIACy0+1CGOU7PKxg77b5fwf3h1qXmeETLvj655vRXFpvj/oPP8Mk1AQAAAMBk+OkVZAIq+fW///1PP/74o84880z9+eef+vjjj7Vy5Uo9++yz2rdvn2688UarQwRgocLLHgtXflWGl//6whxH+aiybO6MVeY4xBFQb78AAAAAUGUFzKev3Nxc8/HYL730kqKjC5pc33nnnerQoYOWLFmi1atXWxUiAIvtSvNP8stteMzxpQ26+OSauUcLPTnyet88ORIAAAAAULqAedrj8uXLdejQITVv3lydOnUqdnzgwIFau3at5s+fr9NOO82CCMvPtX+/0mfMUFbyKnkyM2WPilJk166KHXiFHOV4JDhQXe1OL9Tzq9CyR1/7dNsKczy61UU+ueZH7ywzx1cP6+mTawIAAAAAShcwya9ff/1VktS5c2evx4/tX7t2rd9iqihPTo72PDZR6bNnSy5XkWOZK1Zo35Qpih0wQPXvHyd7mO8bdgNVze70Qj2/KrHya/Ifn5njGs4In1zzvanfm+OwcOdxZgIAAABA+QTjkxj9IWCSX9u2bZMknXzyyV6PH9u/detWv8VUEZ6cHG2/+RZlrVpV8iSXS+mffKLczZvV8I3XZQ8P91+AQBDKPJprjtPzKif55Sm05LFvQvEq1PJwuwquecmA031yTQAAELwcbnfpkyzicLlk9+T/7uJwu0qZbT2Hxy2XzS4VekI4APxbwCS/MjLyKzoiIyO9Ho+KipIkHTlyxOvxwhITE73uT01NVfPmzcsZ4YnZ89jE4ye+CslatUp7Jj6uhEceruSogKojPbdylj3O2ZFsjm9vfYlPrjlvZsF7wX9GnuOTawIAvLBJBp9/fSpYKgiMIEh8GDabjH/+gF7zSdk+J1jB7vbo1B27zW2PLWDaRHtV4+8cfVS/p1z2EKtDOS6bp/Q5gYD3UFRVgf1OFqRc+/blL3U8AemzZsm1f38lRQQEt/ox0cX2VVbl19Mb5pjj2NAon1zzlee/NMdR0VR4AgAAAKgkhs0/ryATMJVfx57umJWV5fV4Zmb+B90aNWqUeq2UlBSv+0uqCPO19Jkzi/X4kqTdETW1N7yGWh/arTDPv0qdXS6lz5ipuFuH+yVGIJgk1KqhPYeKVnpVRs+vwksez65/im+u6Sn4yrx3H/+8BwEAgMDjsoVo2uAkq8MolSPPrWu35PdjntblHOWFBMxHxiKcHrduWPWt1WEACBIB807WqFEjSdKOHTu8Hj+2v3Hjxn6Lqbyykr2XMS+v31KzmhQ8qTL2aKYGbf5JPfb8KYdhKCs5WSL5BRQTH1tD0q4i+yqj8mvh32vM8dg2l/rkmos+L3hIx4g7LvDJNQEAQBCy2eRyBvbSvGOOLXXMC3HIFaDJLwBeGP+8/HWvIBIw72SnnnqqJGnNmjVejx/b36FDB7/FVF6eTO8fyv/9ZyM9LEpvtOmlN9r0kiQ1cGfrjjV/6eyOLWS3B18ZIVBZ4mNKr/j0hcdSZpjj2mG+ueczj841x7XqFF++CQAAAACoXAGT/OrevbtiYmKUmpqqX375RR07dixyfMaM/A+l/fr1syC6E2OP8t4naOCW1bp86xotr99SnzY9XWlhRT8I7wyJ0N2vf2Zun9I0QSMvPVNd2zSSLQiaeAKVJb5W5Se/DKMgPd2jblufX/O0M5r55JoAAAAAUKIgq8jyl4BJfoWGhmr06NF67LHHNGrUKH311VfmEx6fe+45rV27Vr169dJpp51WypWsF9m1izJXrPB6zGEY6rX7T/Xa/ackKdceosUJbfVp09OV4wgtMnfd5l0aMXmWuX1mu8Ya0S9J7ZvGV17wQABKiK1Z4rGaTu9PiD1RX+3+1Rzf3fZyn1zzx6V/muPb7rnYJ9cEAAAAAJyYgEl+SdIDDzygRYsWacWKFWrZsqV69uyprVu3auXKlapbt66mTZtmdYhlEnvFFdo35SWvTe//LdTjVt+dv6nvnt/V8rtvlR0ZrQ8W/6zXPvux2Nwf1m/VD+u3mtt9Tmul4Zd0U7OEOj6NHwg08bEFVZJ5brecIQX9MmKdvnki44R1H5njeuExPrnmkw/PMccJJ9XyyTUBAAAAoCQ2Kr+8CqjkV3h4uL799ls9/vjj+uCDDzRnzhzVrl1bN9xwgx599FGdfPLJVodYJo66dRXbv7/SP/20zOfEDhggR1ycakgafsmZGn7JmZKk/YcyNf3LVfpg8c/Fzvl69Z/6enVBZUn/Hu1100VnKKF2yVUyQDCqX6jnV3pmturWLEiGxfgg+VV4eeIZdVqe8LklLUvOyjwqSWrd7qTyBwcAAAAAqJCASn5JUkREhB555BE98sgjVodSIfXvH6fcLVuUtcr7kx8Li+zSRfXvH+f1WFxMlMZe2Vtjr+wtSdqxL11vfp6seStSis2dvew3zV72m7k9tM9puv7801Wrhm+WhQFWiYkMN8e70zOKJL9iQyue/Ppub8Hfm3vaDTihc3f/na4nJ8zWBZd0VK/zEhUZFSZJWvtzQZXmnff75smRAAAAAIATF3DJr6rCHh6uhm+8rj0TH1f6rFnel0A6HIodMED17x8ne1hYma57ct1YTRh6viYMPV+S9NfO/Xrtsx+0+OeNxea+8/VqvfP1akmSzSaN6JekIed0UlR4aLG5QCBzhNjN8e70IzqlUUHfO18kvx5aW7DkMSHixJYn1qlbQxt+26H163bo5ee/VK9z26lvv056qtCSx6bN61U4RgAAAAAoFcsevSL5VYns4eFKeORh1b1tjNJnzFRWcrI8mZmyR0UpsmtXxQ68Qo64uArdo2WDOD0zPP8JmIZh6NfUv/XK/B+06o/tReYZhvTyvBV6eV5+I/4akWEaeWmSLu/eXmFO/hggeOxKP1JkO9YZXcLMsjEMQy7DLUnqWKvpCZ8fGupQrdrROnggQ0dz8vTVgl/11YKC5vlxdSv/SZUAAAAAgJKR9fADR1yc4m4dLt06vFLvY7PZ1LFFA73234GS8j/Ur0jZopfnrdCGbXuLzD2SdVRPfvStnvzoW0lSQu2aGnlZki44vXWRKhsg0Oz+V/KrVgUrv1bs/8Mcj0u8olzXqFu/pg4eyPB6bP++I3rwrg/V99JOOqN7SzkcIV7nAQAAAECFUfnlFcmvKsxms6l7+6bq3j6/msXt8WjRmr/08twV2r4vvcjcXQcP68G3vtCDb30hKb+ibORlSerZvpnsdu/NvAEr/Dv5VdGnPT609kNz3DCyfJWYdevH6I/1f5d4fOXyv7Ry+V+KrRWl8y7qoL6XdFSjpnXLdS8AAAAAwIkh+VWNhNjtuuD01rrg9NaSpNw8l+b9sF4vz1uh9IzsInP/2rlf/315nrnduWUDjbg0SZ1bNCjxyXaAP+xO+1fyK7Riyx6z3PlPZGxXs2G5r1G3ftmesJqelqmZH/yglq0TSH4BAAAA8DkblV9ekfyqxkKdDg08q4MGntVBkpSVk6tPlvyql+etkMvtKTJ3zV87dfOzn5rbZ3VophH9zlTrhjTyhn/tSj8sl8dtblek8iv5wF/m+MH2g8p9nXr1Y8o89/Z7LtHZ57cv970AAAAAACeG5BdMkeGhuuGCLrrhgi6SpPSMbL27aLXe+mJVsbnfr92k79duMrcvPqOtbr64mxrVi/VXuKim9h/JMqu1pIo97XF8oac8NokufyK3bkzZvl655bY+uujyzuW+DwAAAACUyJBk+GmlVpBVmNHZHCWKjY7QmMt7aM2r/9WaV/+rzx+/SYN6nep17oKVG3T5Q2+p863Pq/Otz+vJj77VvnTvDcCBijqUl2mOazgjy32d9H+u07JGQvkukJctzbtN9RbdVOrU627qpYFXn1m++wBAAJs6dapsNptGjBhR4pxBgwbJZrNp/vz5fowMAAAgH5VfKLP6tWroviHn6L4h50iStuw+qDcWrNTnq34vNvfj737Rx9/9Ym7fdNEZuvbczqoZFe6vcFHF1IwI0+Hs/Iqv9NyC5FeYvXxvYz8fLKhcfKj9lSd+gbxs6b2B0tZlqlti9ZkhyaYrOuzStUO7lCtOAAh0SUlJkqTk5GSvxxcvXqwZM2aob9++6tevnz9DAwAAkETyCxXQJL62HvvPhXrsPxdKkjZs26NX5/+gpes2F5v75sKVenPhSklSqCNEIy9N0qBepyoizOnXmBG84mNreE1+2W3lK2Adv65gyWOL8lR+fX6PtHWZJKlWWKYcNrdcRkihCfmJrwtPXqtbEr6W7ctQqd/kcsUKAIGsTZs2ql27ttauXavs7GxFRESYx1wul2677TY5nU5NmjTJuiABAKgugmw5or+w7BE+07ZRfU0edbnWvPpfrX7lDr3+34Hq2OKkYvNyXW5NmrVU3W+fos63Pq/z7n5Ns5auU57L7eWqQL6E2BrmOD2v4ktq9x09LElqHFWOpy4e2SP98oG5abdJceGFn0KZn/jqHf+7bktcJJtN0s/vSxl7KxQzAAQim82mbt26yeVyac2aNUWOTZkyRSkpKbr99tvVunX+06anT58um81W7PXdd99ZED0AAKgOqPxCpbDZbDq9dUNNaz1YkuTxGFqyNlWvzFuhjX8fKDL34JEs/e/9Rfrf+4skSY3r19LIS5N0TqcWCrGTn0W++MLJr0KVX+XxW/o2czy+/eATv8DP70ievCK76oUf0e7s2H+2bOpWN1X/1+FzhRx71rAnT1rzjnTW2PIFDQABLCkpSQsXLtTKlSvVvXt3SdLevXs1YcIExcfH66GHHip2zrJlyxQSUlAx265duzLdKzEx0ev+1NRU2cNiTzx4AACqCJskm58qv/zUVt9nSH7BL+x2m87u2EJnd2whSXK5Pfpi1e96ee4K7U47UmTu1j1puueNBeZ2YuP6GnlZd3Vr20g2W7D9FYOvxNcqXPlVseTXhHUfm+O2MSef+AW2LC+2q27EESktf9yx9lY90HG+HHbPv85bRvILQJV0rO/XypUrzX333nuvDh06pMmTJ6tGjRrFzjnjjDPkcPCrKAAAqHz8xgFLOELsuqRbO13SLf9b3pxcl+YsX6eX565QRk5ukbkpW/do1AuzzO1ubRvp1n5JOqVpPMmwasSXlV87s/OrDxPCa5XvArnFl132qP+X/jpUX1GOo3q481yFhnhZxuvlPACoCrp27SqHw2Emv5KTkzV9+nR169ZNQ4cO9em9UlJSvO5PTEzU5h0HvB4DAKDaoOeXVyS/EBDCQx266uxOuursTpKkI9lH9dHin/XK/B+Kzf1xwzb9uKFg2dp5nVtq+CXd1PykOL/FC/8r0vOrAkmkPw7vNMcTOlxVvouERhfb1b3+RnWvv1Fuj00h9hL+xfFyHgBUBVFRUerQoYPWrFmjXbt2afTo0ZKkF154ocQvqho0aKADBw6oXbt2euihhzRw4EB/hgwAAKoRkl8ISDUiwnTzxd1088XdJEkHDmfq7a9+0nuL1hSbu2jNX1q05i9z+/Lu7XXThV11UlyM3+JF5Stc+XXgaPmTX4+s+8Qcd4htXL6LNOkubfrW66ESE1+S1KRH+e4HAEEgKSlJa9as0YgRI7Rq1SrdeOON6tKlS7F5CQkJeuyxx3TGGWcoOztbU6dO1aBBgzRnzhxddtllFkQOAEDV4a+eX8GG5BeCQp2aUbpzYC/dObCXJOnv/Yc09fNkzV7+W7G5c5b/pjmF9l97XmfdcH4X1a4ZWbEgMvZKa97O7/eUm5FfxdOkh36qeYEaNW6qerWo6qlMdWpEmeO0ClR+bcrck3+90OL9Z8qs01DpuyeLNb0/LrtT6uzbpT8AEEiSkpI0ZcoUzZ07VzExMXr88ce9zrvgggt0wQUXmNuXXHKJevbsqYkTJ5L8AgAAlYLkF4LSSXExevC6Pnrwuj6SpNS/9+u1z34sUgF2zHuL1hSpGBvR70wNOaeToiPCynazvGzp83ukXz4onuzY9K2+PPyrlhsd9PJd16rJyQnl/plwfGGOgieCHXZllesaqUd2m+OHy7vkUZJq1Jc6Xp2fDC2rTtdI0fXKf08ACHDHmt5L0vjx41WvXtnf8y677DLdf//9lREWAAAAyS9UDc1PitNTt1wiSTIMQ+s279ar81cU6Q12zCvzfzB7iUWHh2rkZUnq3+MUhTm9/HXIy5beGyhtXVbivX/LTdBul0M3PvGOXrzjKiW2KOdSOhxX4Z4xeYarXNd49LdPzfFptZtXLKALn5QOpB73z4apcQ+p75MVux8ABLisrPwvJtq2basxY8ZYHA0AANUUyx69IvmFKsdms6lDswS9fPsVkvKTYT9u2KZX5q3Qb1t2F5mbkZOrpz7+Tk99/J0kKb5WDY28LEl9u7SRI8SeX/G1dZkMSd7a9WYbTm101ZckpbtCdcvzM/TsqIHq1o4EWCD640h+s/uazgougZUkZ4R07Qzpi3uln9/3vgTS7syv+Or7pOQMr/g9ASCA3X333ZKkyZMny+Eo+6+YhmFo9uzZ6tSpU2WFBgAAqjmSX6jybDabzmzXWGf+k5Byezxa/PNGvTxvhbbuSSsyd3faET00/Us9NP1LSVJzR6RGRbfWWWF/yualc+CGvAS5ZTe3s9123fbSHD16Q19d0KV1iX3C1HkoS+B8INRe9rewrZn7zPHDp1RgyWNhzgip32Tp7PulNe9IW5bx/zOAamnatGlasGCBBg8erD59+hx37sCBA9W1a1d16NBBR48e1ZtvvqkffvhB8+bN81O0AABUUYb8V/kVZBVmJL9Q7YTY7epzWiv1Oa2VJCnP5db8H9br5XkrdPBI0V5Sqa76ujN9iLndwbFdAyNW6eLItbLZpHV5Jxe7vsvt0bhpC5X2w7u6Kv1Vr33C9N0TVAT5QKyz7A8Z+F+hJY/d4lr5NpDoetJZY/NfAFBNbNiwQc8++6y2bdumRYsWqVGjRpoyZUqp57Vq1UpvvvmmduzYIUnq1KmTPvvsM1100UWVHTIAAKimSH6h2nM6QjSg5yka0PMUSVL20TxNHfeU3st0KlfOInPXuhpq7ZGGeujIgONe0zCkp9bX0cGoHhoR/a1s/14z6cmTVk+X9m/MXzrnjPDhT1R9xIZGlT7pH78dyu//Fm53ljITAFAWixcv1tSpUxUTE6N+/frpueeeU1xcXKnnTZw4URMnTvRDhAAAVD9eFixBKrReC4AkyXk4XT2+nqEHPPPVRymKzMqVPbd87yBvZvbSY4cvkdvw1jFM+c3Sv7i3AtFWb2VNfu3IOmCOH+kw5DgzAQBlNWrUKBmGofT0dM2dO1fNm1fwQSIAAACVhMov4B85R/O0/NfNWvjB50puP0S52QV/PULypOxmubIftSl8W4jOjtmgRbmJZbiqoVnZpyvNE6WJsTMVZvPylMKf38/vGUVvqBNWq4zLHp9ImWmOe9RtW1nhAAAAAAACEMkvVGtHc136Ye1mLVr5p5b9vEnZR//pzxVS9K+GJ9RQdjO3ZJMy27k0Q8005vclendPr1LuYJNk6NujbTX64LV6ufY7cto8Rad48vKbpdMvqlTOkBDlud3mdlkrv1anbZIk2WWTrdgaVAAAAABAVcayR1Rr2Ufz9OJHS/X1j38UJL68MGxS2K6if13eCE06oXttctWVQx7vB7csO6FrVVfxsUUrvWKdpSe/dmenm+OHWfIIAAAAANUOyS9Ua7E1IjTp7v6KrXH8hvMhR22q+Uuo4r4MU++DmyVJjsMl/fX5d38wm5o59mpY9NLije+Pyc04obirq/jYGkW2y1L59dSG2eb43Pqn+DwmAAAAAAgYhp9eQYZlj6j2GtavpWfuvEwjJ36q3Dz3cefWVYbe3PuJjL029Tg8TkcV4mWWTQpzq5fzD50fskGnh25W3ZBSkluhZetdVd0l/Dv5VYaeXz/s/8Mcs+QRAAAAAKofKr8ASae0OEmPjryo5Mqsf5wdtUF2m5TqqqejhtPcH24/qtx6LmW1ytXhrjlK75aruac11aiOF+npBj2VbSslz9ykhw9+iqqvfmwNFf6aobTKr305h83xQ+2vrKywAAAAACAg2Az/vIINlV/AP3qf3lItGtbVX9v2lTin054tynCH6S97PZ2l39X+yE41T92r1n0u1EmPPKzdezdp5GfP6xclmOfMiOmgGTEdJEmv7JylCzL+KnpRu1PqPLRSfqaqJqFWDSmk7MmvZ36fY477JnSqrLAAAAAAAAGM5Bfwj/cW/PSvxJeh/Kc15quZl6X43w5ru+qomQ5ouL6XJEV26aL4B8ZJkuLrNdOsOJu05kl9Ht1Koxr0L3KPEQ0GSJI6Ze/UyzvnqL47Q+p0jRRdr1J/tqoiPqaGbI6C5FdMoYb3rv37lT5jhrKSV8mTmSl7VJS+v6queZwljwAAACfG6Tl+SxArOd0u2T0e2Q2PHAEc5zFOt0t59hCVutQEqKggrMryB5JfgKTZi9fqxY++N7d7dGymZb9sUuEE2GlpW2Qv/E7icCh2wADVv3+c7GFhBfsvfFI6kKoLty7Tpj+eVLbNofH1+5jVX5L0c0QDndlilCTprsbdNcIwZOcfwlIl1KohW2jBEzMjQ8LkycnRnscmKn32bMnlMo8djg6VrrpQkjTyL4c8vY4W/f8JAAAAx3XDqm+tDqFEdo9Hp+3cpNAMl6Tl8gT479KHlofr9e7nKS+Ej+CAFfibh2rvqx9+1xNvLTK3v3x5hMLDHBr1+Az9tnGXub9nQqQiYk+VPSpKkV27KnbgFXLExRW/oDNCunaG9MW90s/vK8KTp6d2f66ndn+u38Lq6/qTr1SaI9Kc/mzKcj2bslw1nGF69+yr1aFOQvFrQpJULyZa9kLJL3tunrbffIuyVq0qNveDKwqe7Nh5ykxt/3GbGr7xuuzh4X6JFQDgf+5Q6WBbbw+jCSxHY4Kn4ju7bmAnFI5JbxNqdQhlEvlV3dInWcztdilyT+BXUtkNj5yZRn4llU0BX1EVvcOt+iuPymUP7P+2f/cIni+LHTlWR1A698rA/nNZnZD8QrW27OdNevDlheb2/Mk3K7ZGhCTpmf9eppse+Ug79qQrJjpcF0yZJEdIGZ8R4YyQ+k2Wzr5fWvOOtGWZlJuh9qHRWt04Vp5O1+mN7Zv05K8F36YdyTuqy796S5LUv0l7PdqlryIdwfGLnL9Eh4UVqfza89hEr4kvSUo+7WRzbDekrFWrtGfi40p45OFKjxMAACBYuewher9Jb6vDKJXDk1/xH5Lj0sfx3eWyB+ZHW4fh1qDdK6wOA9UJyx69Csx3CMAPVm/Yrruem2Nuz3zmRtWrXcPcrlUzUpPu7q+bHv5IZ3VuXvbEV2HR9aSzxua/CrFLGt6uvoa3O1N7szM0evks/bRvh3l89pbfNHvLb5KkF7tfrosatqVnlSS73VYk+ZU+e7bXeRmRBU/ivObTtQXzZ81S3dvGeK/YAwAAgGSzBWwi6d88NrtsNrtcdodc9gCt+vSUPgVA5QuOdzXAx9Zv2q2REz81tz98fKhOrh9bbF7D+rX0zJ2X6Wiuq9gxX6kXEa1Pzst/2uPXO/7U8KUzihwfs3yOxmiO2teO16s9BuqkqJqVFkswKJz8Ktzjq7CP+7c3x2cv21xkfvqMmYq7dXhlhQcAAAAA1jAkm78qv4KswozkF6qd1O37NWz8B+b2Ww9frWYnl1wJdEqLk/wRliSpz8mttGnIOOW48vTImq/1Ueov5rHfDu5Wj3lTJEn/PeUsjWyXpBB7OarRgpzN6ZGO2qS0EC2LaaW/w2rp77BY/R1WS+nOKEW5cnQkx5CUKSl/yWNhWcnJEskvAAAAAKg2SH6hWtmxJ11Xj3vH3H553CC1axZvSSxr1m3TmnXbdNPVPYodC3c4NbHrRZrY9SJtSNuj67/7SPtzMs3jz6/7Xs+v+16RDqfeO/tqdYxrcEL3du3fr/QZM5SVvEqezMzSm/hXsqzsXG3/O02bt+/Xlm0HtHn7fm3efkC79hwqNjdc0ZKiJUnvnNSz2PFMR7hsW92SMnXl7N+KHfdkZhbbBwAAAABVQpBVZPkLyS9UG3sPHtEVY6eZ28/edblOa9vQ73FkZh3VK+98r7lf/qozOjUpdX7bWvWV3P92eQxDb/2xSo/9XPBkyixXngZ8/bYkqV/jdnqsy4WKdpb8hBZPTo72PDYxv1fWv5YMZq5YoX1Tpih2wADVv3+c7GHlf9LL0VyXdu5K0+btB7R5235t/iehtf3vtHJfs6wiw7J05LT8pZF9lmwqdtweFVXpMQAAAAAAAgfJL1QL6Uey1e/2N8ztR0depB4dm/n2Jhl7pTVvS1uWS7kZUmi01KSH1HlofuN7SSvXbNZTr3ylvfuPSJIOZ5T9+bx2m03/adNV/2nTVfuyM3THirn6Ye9W8/j8res1f+t6SdLzZ16mSxu3K9Ik35OTo+0331Li0xEl5ffE+uQT5W7erIZvvC57eLgkKS/PrV17D2nL9vwk1qZtBRVaRiV/s+Bw2NW0YZyaNKyjZo3i9PLfC2Q/KVeK9uiN2+cXm3/jC5eZ4xBP8eAiu3at1HgBAAAAwCp+6/kVZEh+ocrLyDqqC0a+Ym7fd+N5Ov/MNr67QV629Pk90i8fSJ68osc2fSt994SOtLtWL+48T59/93uRw4ePlD35VVjdiGi9f+41kqTFOzfqpu8/KXL8vz/M1X9/mKu2sfX0+lmD1CAqRnsem2gmvtyyKc0Z9U+/rFr6OzTW7J3lsjukDElDppQrtrJo0rCOmjaso6aN4vJfDesooX6MQp2lvyW9vHCWFPrPO7rDUaSCLSe04Ck/A+avL36yw6HYgVdUOH4AAAAAQPAg+YUqLedons4d/pK5Peaqs3T52R18d4O8bOm9gdLWZSVOWZrWVM98HKODrt+LHTuRyq+SnNOghTYOvk+79h/SxG+/1vcbUuU8bJPzsE3ph9J01evHKt5qSm3/U+H7eXNyQqyaNMxPYjVrHKcmDeN0ckKswsOcPr+XPbTgq4zY/v2V/mnBUztnXdLWHPf9ZmOxc2MHDLCkpxkAAAAAwDokv1Bl5bnc6nXTi+b2sMvO0LUXn+7bm3x+T4mJrzRXpCbvvEDfpLcv8fSMzBy53R6FhBR9aqNhGEo/lKUtOw6Y/bI2bzugLdsP6NCR7OOGFOuDv9a18zJ00tE0NW/fTIn9zlXTRnFqeFItRUaEFllKabX6949T7pYtZkXbot7NzWOOfy15jOzSRfXvH+fX+AAAAADAr4Jw2eNzzz2nZcuWad26ddq7d69ycnIUHx+vXr166e6779Ypp5xS4XuQ/EKV5PZ41GPYZHN74Hmn6taB3X17kyN78pc6/othSIvT2+n5nX11yB2l/Hcf7wkjw5B6D3zOt3F54Q43lFfTkCum0P/WMBS2x6ZaPzlkd9k0dssCtcreXeS8qIZJanTO7ZUeX3nZw8PV8I3XtWfi49ozf465/9LPC1XZORw+aeIPAAAAAPC9iRMnKjMzUx06dDATXSkpKXr33Xf10UcfadasWbrkkksqdA+SX6hyPB5DSddPMrcvOLON7r7+XN/f6Od3ivX4Mgzpga2D9P2hwj3FfF8pVTM6XE0bFTSBb9qojhqfXEexNSNltxe/35bBV2n3qt/19IAe+rn5Seb+nEaGdjXK/xkeWdlXEVvt+u+2L9Qu829Jkicz0+ex+4onN79azh4eroRHHtanAzpIe/MrwAbuDldYUpIiu3ZV7MArWOoIAAAAoHoIwsqvuXPn6rTTTlP4Pw9cO+bll1/WqFGjdNNNN2nHjh1yOMqfwiL5hSrFMAydef3z5na3UxrrkZEXVc7Ntiwvtstmk3460vSELxUR7jQbvx9rAt/k5DqqUyuq2JLI8rBHRSkm66j+9943kqSfmp+k8dcWTQimneFW2hlu3XfoPNVZ5tAdv3+tM6OiKnzvymLkFv3v8uHegqdYtvzwI3+HAwAAAAAoh+7dva/SGjlypJ577jmlpqZq/fr16tCh/P27SX6hyjAMQ91vmGRut21aX5P/rxKf7Jeb4XV331prNe9gZ7mMEK/H/+2ZB6/QGZ1PPGF2IiK7dlHmihXm9umpf2vBw+8qL8SuaX06a94ZBY3iXTGG9lycp/su7q3oDXY9v+J3nZvkw6dj+kjh5Feup+CJj9c26WVFOAAAAABgKZskm58qv/zVCdrpzH+IWmhoaIWuU/GSEiBAXDzmdbn/aXKeEFdT0x+5pnJvGBrtdfd/T/5Cn7Z9QdfVW6YaIcdvTi/55omPpYm94grJS4mo0+3R8C9+0oKH39UrL81V/bSiCb2Mth7dvHWWmr0/US9/vbTS4zwRhZNf0zctNsf/aX6eFeEAAAAAAHzo3Xff1R9//KGWLVuqZcuWFboWyS9UCdeMe0cHDuX3pwoPdWjO8zdV/k2blNxAP86ZoVsSvtXMtpN1Z4OFOjn0QIlzD2eUniCrKEfduort3/+4cxrtP6xpL8zWZw+/q5ELVhY9aJee2b9UzT6cqMtnTtPh3MpP2JXGk2uXy+2RJL1VKPkVHuK0KiQAqJamTp0qm82mESNGlDhn0KBBstlsmj9/vh8jAwCgmjH8/PKxp59+WjfccIMGDRqk9u3ba+jQoUpISNCHH36okJCyrawqCcseEfRGTvxUG7fvN7e/e3OMf27caaj03ZPFmt4XFhGSp/5xq3VZndX64XBLfbz/TP2c0bjInMNH/JNIqn//OOVu2aKsVauOO88maZAtRncOuEuH5Nb1Cz7Ub0f3mMfX5u5Wx5n5T6h8ouvFGtSsg2w2fxW9FjBy7TqcnaOakQVPcLyyUZLf4wCA6i4pKf+9Nzk52evxxYsXa8aMGerbt6/69evnz9AAAEAlSk1NVWJiotdjKSkpJ3y9L7/8Ut9884253bhxY73zzjs67bTTyh3jMVR+Iajd98J8rd6w3dz+8Z3/+i8RU6O+1PHqMk2126TuMX/phSvtmvrsdbqgdzuzkf0RPyx7lPKfitjwjdcVe+WVXpdASpIcDsVeeaUavvmG7GFhqhUWqXkD/qNNQ8bprvo9i02/N3mBmn/0uM777FVtOXKwkn+Coow8u/YcytB7W7439w1vcYFfYwAASG3atFHt2rW1du1aZWcXrWZ2uVy67bbb5HQ6NWnSJGsCBAAAQWHRokUyDENpaWn6/vvv1bJlS/Xq1UuPPfZYha9N5ReC1sSpX2vxqr/M7RVv3+H/CqQLn5QOpEpbl5U+t3EPqe+TauUM1wO3X6Th1/bUrM9/0dGjJVeO+Zo9PFwJjzysureNUfqMmcpKTpYnM1P2qChFdu2q2IFXyBEX5/XcUef01Cj11JLkPzVm4SxltPaYxzYdOahzPntVknRLm26669RectorVpZaGiPXrl1pR/Ta31+a+yIdYcc5AwBQGWw2m7p166aFCxdqzZo1RZ7YNGXKFKWkpGjs2LFq3bq1uT8vL09PPvmkpk2bpp07dyohIUHDhw/XfffdZ8WPAABA1eGnhveS1Lx583JVeJUmNjZWPXv21MKFC3XmmWfqwQcf1Pnnn68uXbqU+5okvxCUXvp4qeZ+t87cXv7W7QqxW1DI6IyQrp0hfXGv9PP73pdA2p1Sp2ukvk9KznBzd906NTT82p4yDD++O/3DERenuFuHS7cOP+Fze3VtpbVd79WqX7ZozLOf6kDPPLlrFBx//fcf9frvP0qS3j/nap1Zv4mPoi7Kk2vX32mHzO3LTz6jUu4DAChdUlKSFi5cqJUrV5rJr71792rChAmKj4/XQw89VGT+ddddp+XLl2v8+PFq0aKFNm/erD179ni7dDElLa9ITU2VasRW6OcAAACBw+l0avDgwVq9erXmz59P8gvVy/R5yXrns4K+VUumjpHDUblVRsfljJD6TZbOvl9a8460ZZmUm5H/NMgmPaTOQ6XoeiWebkW/LF/o0rGJfnz3bv3823aNefAjZTXzKP10d5E51yz+QJJ0zkkt9OyZ/RQTGlGhe+Z5XObYyLXru+2/S/8Uqo1udWGFrg0AKL9jfb9Wrix4YMq9996rQ4cOafLkyapRo+BbkgULFmjWrFlau3at2rRpI0nq3bu3X+MFAKCqsvm/tqJSxf2zMmnfvn0Vug7JLwSVGYt+0SufFiwxXPz6aIWHBsjT/aLrSWeNzX9VI53aN9Sy2Xfrt9//1oj7PpDHaSitq0s5DQredRf/vVGdZj4vSXqsy4W6qnnHciX9slxHzbGRa9fqv7cq/J/kV5QjvISzAACVrWvXrnI4HGbyKzk5WdOnT1e3bt00dOjQInOnT5+uc845x0x8naiSllckJiZq496Sn64MAACCz5IlSyTlL7GsCBreI2h8vny9nn57sbn91csjFBURamFEKKx9m5O0dPZYTXv8OtVZ7lSDT0IV923x/Pr9qz5X848e19nzX9Gmwyf2IeVQXqY5NvLs8uTkv4WdeyRarv37SzoNAFDJoqKi1KFDB23dulW7du3S6NGjJUkvvPBCsS87kpOT1bJlS40cOVLR0dGqUaOGrrnmGqWlpVkROgAAVYvhp5ePLF++XF988YU8Hk+R/Xl5eXrxxRf17rvvKiIiQoMHD67Qfaj8QlBYsnqjJrz6hbm94MVbFFOjYkvoUDlaN4/X0tljtXHLPg3779tq8EmoDJuhw+3dymhb8Ia2NSNN5y14TZI0rHUX3XPqOQoNKXn5qicnRxtffkHqdGyHZOTkz7/ssU/01/iPFTtggOrfP072MBrfA4C/JSUlac2aNRoxYoRWrVqlG2+80Wtvjt27d2v69Onq2LGjZsyYof379+uuu+7SsGHDNGfOHP8HDgAALPPXX39p2LBhiouL02mnnaY6depo//79WrdunXbt2qXw8HBNnz5dDRs2rNB9SH4h4K1K2ab/mzTP3J793H8UFxttYUQoixZN6mrp7LHauuOArh3zlmLWORSzTnJFGzrQPU+umIK5b/2xSm/9kd/H7e3eQ9QzoWmRa3lycrT95lu06+h2qdOxD1I2M/kVnZX/oIH0Tz5R7ubNavjG67KHswwSAPwpKSlJU6ZM0dy5cxUTE6PHH3/c6zyPxyPDMDRnzhzVqVNHkhQeHq5Bgwbpr7/+UsuWLf0ZNgAAVUqw9fzq1auXxo0bpyVLlmjt2rXav3+/QkND1aRJEw0cOFC33XabWrRoUeH7kPxCQFu38W+NfmKGuf3RE9frpLoxxzkDgabxyXW0dPZY7dyVrqtGvilHhk31vwyVIUNZTTxK71q0Sf71330oSTorvpmeT7pUtcIiteexicpatUoZ3RsVu37X1TuKbGetWqU9Ex9XwiMPV94PBQAo5ljTe0kaP3686tXz/rCXWrVqqXnz5mbiSypoeL9hwwaSXwAAVCNNmzbVY489Vun3oecXAtZf2/bppoc/MrfffvQaNW1Q5zhnIJA1SIjV0tlj9elrNyvUGSKbbIraEqIGn4QqYbZT9Q9FFpn//e5NOm3WJDX7cKLe27JWhqQj0cWXM149c12xfemzZtEDDAD8LCsrS5LUtm1bjRkzpsR5bdu2lWF4/1rabudXUwAA4Hv8hoGAtG13mq69/11z+7UHBqtNk/oWRgRfia8Xo28++a9mvTlc0ZH5ySx7nk2OL11q8EmoOv9RTw5b0bemVy7qqkvGX6dZPdoWu17NjNziN3G5lD5jZqXEDwDw7u6775YkTZ48WQ5HyYsLLrroIq1bt077C31JsXjxYtlsNrVv377S4wQAoEoLsob3/kLyCwFnz4EjGnT3W+b2pLv7q2PrBhZGhMpQt04Nff7+GM19a4Tq1Ioy9+/5NV31P3ao+w/xGrLXVeScnIiyr9TOSk72WawAgOObNm2aFixYoMGDB6tPnz7HnTt8+HDFxsbqsssu02effabp06dr9OjRuvbaa9WkSRP/BAwAAKoVkl8IKAcPZenSO94wtyeOuURndmh6nDMQ7GrHRmnOtBH67O1RSqhf0M9ty/aD+v67SJ36Xo5enLJATfakyW4v+hWDJ8Kti8dfp5+an1Tsup7MzEqPHQCqsw0bNuimm27S+eefr5tuukmNGjXSlClTSj0vNjZWixcvVmRkpK688kqNHTtWAwcO1KuvvuqHqAEAqML8VfUVhNVfNLxHwDiSmaMLRxf84vvAzefr3K6tLIwI/hRTM0KfvHqzjmTmaOR9H2rL9gOSpP2hNfVEvf6KWZSpujG7tLNhTUlSVO+92nu4hiRp/LXnSpJO3bRL98xcqpiso7JHRXm/EQDAJxYvXqypU6cqJiZG/fr103PPPae4uLgyndu6dWt9/fXXlRwhAABAPpJfCAjZOXk679aXze3/Xttb/c6i70d1VCMqXO++MEx/DLtZj+6qra0RdSVJh5xRSo+NleSRJLVP3aO8vQe0tH0T89xfmyXo6ruvlCTdlR2pkYYhm83m558AAKqHUaNGadSoUVaHAQAACuHTj3cse4TlcvNc6n3zi+b2zf3P1FUXdLYwIgSCsKwjun/LPL34+9tqnrU7f2eExzy+cWUL3Tx3jRY8/K6emfq5QvOK9gd7NiJLzT96XGfOeUF/pO/1Z+gAAAAAgABC5Rcs5XJ71PPGF8ztqy7orJsGnGlhRAgUx5Ythhku3bN1gfJsIRrpuMg87s4O1X0tr5IkPbbxE82e+KHcNps+OusUfdD7VHPenuwMXfj5m5KkIS066aHOfRQWwlsfAAAAgCooyHpx+QuVX7CMx2Oo+w2TzO2LerTTf6/tbVk8CCyRXbsU2XYa7hLn3t/iSt3S9j/a56ypGzYe0MYBd2nppaOUWKt+kXkfbvxZbT95Ss0+nKhvdv5VKXEDAAAAAAILyS9YwjAMnXn98+Z2z07NNH54XwsjQqCJveIKyeG9Qiv0qEsvb5im0w9tKrL/oeYDNaxmX23ZfVgNomI0v+9/lHrVfZqcdFmxa9z8/adq9uFEDfnmPe3LzqiUnwEAAAAAYD2SX/A7wzDUbWhB4uuUFgl65s7LrQsIAclRt65i+/f3eqxGRq4cMnTL39/q1Q3TdGb6n0WOX3/H2+rZ/xn9kbpHNptN/RonatOQcVo3cKwua5xYZO7Kvdt0xpwX1OzDiXrz95XyGNQJAwAAAAhONsM/r2BD8gt+d8HIV8xxw/hYvTl+iIXRIJDVv3+cIrt0KbY/OiPXHNtlaNiupXonaq0uPa/oE0JvGvuuevZ/Ril//C1JinKG6vmky7RpyDjNPv8GRTtCi8yf+PM3avHR4+oya5I2pO2phJ8IAAAAAOBvJL/gV4Pvma5DGTmSpOjIMM14+kaLI0Igs4eHq+Ebryv2yiuLLIGskXG0YJLDodgrr1TjqW/o7lF9tWTmXbqy32lFrnPrvR+oZ/9n9EvKdnPfqXVO0tpBY/XX4Ht15ylnFZl/4GiWLv5iqpp9OFH3rlygHFde5fyAAAAAAOBLhp9eQYZHnsFvbnn0Y235+6C5vejVkRZGg2BhDw9XwiMPq+5tY6RfnpIkxTqjFJWUpMiuXRU78Ao54uIK5tttGnPj2Ro9rLdef3+Z3pu50jw25oGPJUnPTxik009tLEkKsds1un0PjW7fQ7uyDmvksln69cDf5jmfbPpVn2z6VZL0as8rdP7JrSv7RwYAAMAJcBhuyWN1FN45PC7ZDY8MwyOHx2V1OKVyukMkSXn2EMlmszgawHdIfsEv7n5+rn79c6e5/eM7/5WNN1OcgMIJrpPPu0iNRl5y3Pk2m03Dr+2pW67pobc//VFTP1xuHvvvhE8lSU/e319Jpzc39ydE1tTs82+QJC3ctkGjl88ucs1bl86UJJ0Wd7Je6jFA9SKiK/QzAQAAoOIG7V5hdQglshsetc/YJiMnf9GVxxbYi6+OePKTX6/1PE95IaQLglIQVmX5A3+aUekefeNLfb8m1dz+4W0SX6iY2NCoMs+12Wy64cozdf2gbvpwziq98s735rF7HstPbv3v/y5VrzNbFTnvokZttalRW2W5cjX+py81c/M689jq/TvUbc4LkqT/O/Vs3dK2m+z8mQaAgGAL0OqPwqJ2B371xzGucKfVIZRJnRS31SGUydMvvmR1CGXyn1+utzqEUjnz3MqckSfbtnCrQzkuu8ej3J0hCqmVK3f7HHlCAvt3Rsef+V/uhh2UQkIsDqYUrsD+vx4BhuQXKtXkD5bos+9TzO3l0++Q3R7Yb/gIfLHOE6+4stlsurp/V13dv6tmLFijyW8uNo898NQ8SdL4Oy/WeT3bFjkv0hGqp7v109Pd+mndwV0a+u2HOpSbYx5/6tdv9dSv3yomNFzvnn212teOL+dPBQAAgLLKc9j1xsCe0ooYq0M5LofbJSVLYU0z9e7grnI5AvcjuMPt1qDH1lsdBiooGJ/E6A+B+zcPQW/qnB/1weerze3vp94mR0hgl/kiOJxI5Zc3Ay/urIEXd9a8r9bq6Ve+Mvc//NwCPfzcAt07+gJdfO4pxc47pXaCfr7iTnkMQ69v+FFP/fqteexQbo4u/XKaJOmKpqfo4dMvUOS/niYJAAAAH7HZlOcMkS0IluZ5bHZ5QmxyORxyOQO8nAqooshEoFJ8/OUavT6zYO39t2+MVlho4P/DhMDlMQrWsVQ0+XXMped30NLZY3X/7RcW2f/ElC/Vs/8zmvPFL17Ps9tsurXdmbpkfXPFz3Mq7EDRasaZm9ep/afPqNmHE/X59t99EisAAAAAoHxIfsHnPvs+Rc+99525/fWrIxUZTgUMKibHnWeOa5Vj2ePx9O2dqKWzx+qRsf2K7H/2tUXq2f8ZfTzvJxlG0frhLdsP6Offtiskx6a4b5zqsqSunu9yabFrj1o2S80+nKgBX03X7qwjPo0bAAAAAEyGn19BhOQXfGrxqj/16BtfmtsLpwxXzSg6EaLijriyzXFNZ2Sl3OPs7q21dPZYPX7f5UX2T3nrO5014Fm9O3OlmQSb++WvReb8veeQVs/epNSr7lPKoLt1ZbNTixz/5cDfSpr7opp9OFEvpSyX2xMEHZkBAAAAoAog+QWf+XHtFt33wmfm9tznb1KdGN8sTwPSczPMcURI5VYS9ujaQktnj9UzD11RZP/r7y3VWQOe1SvvLNEX36YUO+/bFX9qzhe/KCInTU8cXa9Necn6LDtZdYy8IvOeXbtELT9+Qh0+fUa/Hvi7Un8WAAAAANWDTfkN7/3ysvqHPUE0YYJP/PrnTt3+9Cxz+9Onhik+rqaFEaGqSc/LNMcOu38ahZ7RqamWzh6rn3/bptse/MTc/8HsVSWe8+Kbi5S4ZLpahe+QJLWTtErfyiNpWu1umli3lzk3w5Wr/l9NlyRd1jhR/+tyoaKcLBEGAAAAAF+i8gsV9seWvbrl0Y/N7Xf/d60aJdSyMCJURem5maVPqiSd2jfS0tlj9dLEIaXOzfPYNH7zpcp0F01i2SXddPBHbfrjSa3MSdYZcScXOT53a4pOmZHfJP+zreuL9RgDAAAAgFLR78srkl+okC1/H9TQB98zt9986Cq1alzPwohQVRVe9miVDm0b6LUnryl13o7cOnpqxyUqKX9Vd+u3+jBntTYNGac3zhpU7PhtK+ao+UePq98XU7Uz81BFwwYAAACAao3kF8rt732HNPie6eb2C/93hU5peZJ1AaFKK7zs0Uqzv/ilDLMMLU5P1LyDnUue8vP7UsZendugpTYNGaf1g+7WkBadikxJSdujnvNeUrMPJ2ryuqU0yQcAAABwXP7q+RVsSH6hXA6kZ6r/nVPN7aduv1RnnNLYwohQ1Vm57PGYw0eytXjZ72WYmd/+cfLOC7Qxu773KZ48ac075ma4w6nHulyoTUPGaeGFN6leRHSR6ZN/W6qWHz+hdp88pZ/37yzvjwAAAAAA1Q7JL5ywQxnZumjMa+b2+OF91ev0FhZGhOogECq/Fi5OUW6eu8zz8wyHXt11TskTtizzurtNbD39ePlt2njVfXqw83lFjuW4Xbri67fV7MOJum35bGXkHS1zPAAAAABQHfG0R5yQzOxcnT/iFXN77NBzdFGPdhZGhOrC6p5fHo+huV/+csLnnROTUvLBUn4mu82mYa27aljrrtqfk6k7VszVij1bzOOfbdugz7ZtkCQ9d+aluqxxomy2YHvoMAAAAACfCcIlif5A8gtldjTXpXNumWJujxjUXYP6dLQuIFQraRZXfu3YlaYmDePUtmWCIsKdigh3KjzMqYiIUEX8+pYiDv6mcHueIu25irDnKtyep4iQXCWEppV80dDoko/9S1x4lN4752pJ0nd/p+rGJR8XOX7nD/N05w/z1Ca2nl7vOVAnR8eW58cEAAAAgCqH5BfKxOVy66z/vGBuX3vR6brh0jMsjAjVjdU9vxo1qK3H77vc+8E6S6TFH5z4RZv0KFcsvU9qrk1Dxumo26WJP3+jd/9abR77PX2vzpr/siRpVGKSbm9/lhx2VrgDAAAA1QKVX17xiQilcns86j5ssrl9We/2GjPkLAsjQnWU4cq2OoSSdRoq2Z0ndo7dKXUeWqHbhoU49PDpF2jTkHH68qKbdVJkzSLHX0pZoVYfP6HWHz+hVfu2V+heAFCSqVOnymazacSIESXOGTRokGw2m+bPn+/HyAAAAPJR+YXjMgxDSddPMrd7n95C4/5zvnUBAYGoRn2p49XSmrfLfk6na6Toej4LoWVMXS27bLQMw9C7f63WhNVfmcfyPB4NXvSuJKlvw9Z6ouvFqhka7rN7A6jekpKSJEnJyclejy9evFgzZsxQ37591a9fP3+GBgBA9WJINn9VfgVZhRnJL5TIMAx1G/q8ud25zcl68vZLLYwIkGwK0IbuFz4pHUiVtnp/gmMRjXtIfZ+slDBsNpuGtjpdQ1udroNHs3Tninn6fvcm8/gX2//QF9v/kCQ9fcYlGtD0FJrkA6iQNm3aqHbt2lq7dq2ys7MVERFhHnO5XLrtttvkdDo1adIk64IEAADVGsseUaLCze2bn1xHr9x/pYXRAPliQ6OsDsE7Z4R07QzptBtKXgJpd+Yfv3am5Kz8yqvaYZGafvZV2jRknN7ufVWx43ev/EzNP3pc5y94TVuPHKcxPwAch81mU7du3eRyubRmzZoix6ZMmaKUlBTdfvvtat26tSSpd+/estlsXl+7du2y4kcAAKDqMPz0CjJUfsGr/ndOVVZOniSpVs1IffD49RZHVMVl7M1fMrdluZSbkf8UwCY98ntC+XBpXFUQ6wzQ5JeUnwDrN1k6+35pzTvSlmUB8/9nz4Rm2jRknHLdbj3562K99ccq89jGwwd09mevSJKGtz1Td3Y4S057iCVxAghOSUlJWrhwoVauXKnu3btLkvbu3asJEyYoPj5eDz30kDn35Zdf1uHDh4ucP3r0aOXl5SkhIaHUeyUmJnrdn5qaKtWILf8PAQAAqiySXyhm2Pj39fe+Q5Ikm036fMpwiyMKXt9/t0Fut6HuPVopNMzLX7e8bOnze6RfPpA8eUWPbfpW+u6J/N5QfZ/0S6VQMAjYyq/CoutJZ43NfwWY0JAQPdi5jx7s3EebDh/QjUs+1raMdPP4axt+0GsbfpAkfXjuNTqjXmOLIgUQTI71/Vq5cqW5795779WhQ4c0efJk1ahRw9zfrl27IuempaVp7dq1mjBhgl9iBQAA1Q/JLxRxx9OztH7THnP7h7f/Sz+gCkg7mKkXJ32p6OhwnX1eO11w4alq3SYh/79pXrb03sDj94jy5Emrp0v7N+YvqXNGlDy3moh1RlsdQpXRrGYdfddvpAzD0IepP+uBVV8UOT7km/clSec1aKmnu12imFD+/AHwrmvXrnI4HGbyKzk5WdOnT1e3bt00dOjxn2w7e/Zs5eXlafDgwWW6V0pKitf9iYmJ2rj3wIkFDgBAFWMzgnBNoh8ERM+v33//XU8++aTOPvtsxcXFyel0Kj4+XgMGDNDSpUutDq/aGP/KQv2wdou5TeKr4urHx0iSMjJyNH/OGo0e/pZuvuENffLhjzo4476yNUeX8ud9cW8lRho8gqLyK8jYbDZd3aKzNg0ZpzUD/quzT2pR5PiinX+p08zn1ezDifo49RcZ/IMK4F+ioqLUoUMHbd26Vbt27dLo0aMlSS+88EKpv0t8/PHHOu2009S8eXN/hAoAAKqhgEh+nXfeebr33nv1008/qVOnThowYIDq1q2r2bNnq1evXjwdyA+efWexvljxu7m9fPodsttJfFVUvfoxxfZt2bxPr7/yja56tY4eXDtAS/e2VJ6nDH8Vf34/vzdYNRfQPb+qgNiwCE3tdaU2DRmn986+utjx+5IXqvlHj+ucz17V5iMHy32fjYf2660/kisSKoAAc2zp44gRI7Rq1SoNGzZMXbp0Oe45+/fv1+LFi8tc9QUAAEpBw3uvAiL51aZNG73zzjvat2+fvv76a3388cdat26dXn31VRmGobFjx2r9+vVWh1llvTZzuT75+hdze+m02+QICYg/GkHvWOWXNx7Drh/2t9DDv/XXVctH6uU/z9HGI8dphu7Jy2+iXs1R+eU/SfFNtGnIOP0x+B7d3OaMIse2HDmocz97Vc0+nKiJP3+jXLf7hK795Y4/9L81i7Rw2wZfhgzAQseSX3PnzlVMTIwef/zxUs+ZOXOmXC6XrrySJ0oDAIDKExAZjkWLFum6665TeHjRht7Dhw/X+eefL7fbrU8//dSi6Kq2Dz5frWlzCprTLnlzjEKdtILzlaioMEVHl96o/lBepGbtOF23rrpBqw8ep8H4ljIuk6zCqPzyP6c9RPd1OlebhozTN5fcqmY1ahc5/ubvK9XmkyfV7MOJWrF7S5mu+eX2P2RIuvOHeUreu833QQPwu2PJL0kaP3686tUr/em2n3zyibp166bGjXm4BgAAvmAz/PMKNgGf5Tj11FP11Vdf6e+//7Y6lKDk2r9f6TNmKCt5lTyZmbJHRSmya1fFDrxCC37bpckfLDHnfvPaKIWHOS2MtuowDEM7d6Rp1cpUZWTknNC5u7JjJW31fjA3o8KxBaPCPaZiQ2l4b6WmNWpr0SW3yjAMfbLpV92XvLDI8Wu//UCS1CuhuZ4/81LFhhVvkr89I12/pe2WJOV63Bq+dIY+PW+oWsTEVf4PAKDSZGVlSZLatm2rMWPGlDp/z549WrJkiZ555pnKDg0AAFRzAZ/82rRpkyQpPj7e4kiCiycnR3sem6j02bMll6vIscwVK7Tgvc/0ctOzzX1fvHSroiPD/B1mUDMMQ7t3HdKq5FQl/7hRyT+myuOpWAr8woS1Oi/e+1OsJEnVNPGTZxQsqWPZY2Cw2Wwa3LyjBjfvqMO5Ofq/lZ/pqx1/mseX7EpV51nPS5IePb2vrm7RyWx6/eWOP4pc61Bujm747iPN7HO96kfWyO9tt+Ztacvy/IRvaLTUpIfUeagUXXolCQBr3H333ZKkyZMny+Eo/VfMGTNmyOPxaNCgQZUdGgAA1UcQVmX5Q0Anv1JTU/XZZ59Jki699FKLowkenpwcbb/5FmWtWuX1+K8xDYskvuY+OVS1akb6K7ygYhiG9u09UiTBlZd3Yr2NyiIiJFd3tP5S58aX0v+oSQ+f3zsYZLoKqudindUzARjIaoaG69WeAyVJyXu36erF78tTqFrvwf9v797Doqzz/4+/hrOCgoYiampinijRStY13LJ+lR2wtNJaNbFay0NmbZmpJWlu+S1dTVLLPFVbecgoD5dtxHawUnS1tVQ0EaVETQ08gcAw9+8PFlZyEBBm7nuG5+O65mq4577vecWAzrx9f973lvV6bst6XRocpkXXD9CnP+8+7xzZeSf14Bcf6IOiH9XgP/8omXF3rn3/kr54Weo2SOozXfKvfDkxAPdZtGiR1q5dq4EDB+qmm26q0jHLli1TXFycWrRo4eJ0AACgrrNs8ctutyshIUEFBQUaOHCgrr766iofGx0d7XR7RkZGnbiM9pFpf6uw8LU7pJn+3r5P2dfTty+TMf+ENOUFd8W74FJMv3Bzlj0dP3ZKWzbv06aNJUWus/lFlR/kRIMGQYrt0U6xPaJ01TWXqVGjYC1/f6PenPd5hce0CzmiSVd8opb1cy58ch//ks6XOuhE0Zmy+yF+FD2sLLZpK+2971kVOYo164evNW/nt2WP/XwmVzetfbPCY3edOKqRZ/K10FGsAGc7OIqkfy+Rju2VBq+U/M9fUgnAfXbt2qUZM2YoKytLKSkpatWqlZKSkqp0bHZ2tjZs2KA5c+a4OCUAAEAtFb/69eunXbuqd8Wut99+W7GxsRU+PmbMGG3YsEFt27bV3LlzaxqxzrAfPVqy1NGJzPrheqlTfNnXU39cqYiCk8pdtUpNxjzm8sJTZUsxjyYlKax/f0VMnCCfwNpfgpmbe0b/TsvUpv92cFV3FlepoHr+iu3RTn/oEaWru7dVeHiDC+5/oSs+9mu5RX9p96UCfKrQTdZtUJ1d8pVb+L/iV4CPZWv2OIe/j6+ejrleT8dcr6zTORr+1QrtOXHswgcZhr4JbqNnm92qVw+vla2i/Q5skNaPl+Jn13ZsANWQmpqqhQsXKjQ0VPHx8Zo5c6bCq/heonnz5nI4HC5OCABAHePOYfQetryyVj5FZmZmavfu85exXEjpUFRnpk2bpnnz5ikiIkKffvqpGjduXOG+zuzY4XxmUkUdYd4k98MPzyssSdLBoDC9EN2v7Ovndybr0vz/dhrZ7cpd+aHCH33EZbkqW4pZlmP5chVmZurSBW/KJ6j6HT4nT+br35szlbZxrzZvylBubsU/ZxfiH+CrP/yhnWL/GKVrukepSdMGZfOKqisiouF520IaBOnpp27Wtfu/lQ5UofDVOq5kqVcddW7x62JfB5inVUgjrb9tuAzD0DWrZimnMN/5jjabZBj6KPQKNbOf0tPHvqr4pNv+IfWeWGcLwoAVjBo1SqNGjTI7BgAAQKVqpfj1/fff18ZpJEnz58/XpEmTFBoaqvXr16tdu3a1du66IC/t/OLSGd8AvdjpfzPTnklfo7Znjv7uuDTJhcWvCy3F/L28zZt15G8vKbKCpZinT5/Vtn/vL5nBtSlDx49d3BUQfXxt+sMf2ql7jyh1j41Ss8hQlxRWft/5FX1FS02YfJciIkKlopUlHSzbnMw4kkqWOjLjSLlFdfMql97mROFZnSyqpOPyv7+D8y75oyLtJzU493vn+zmKpK1vS396qnZDAgAAAJ7Mwzqy3MVS64c++OADjRo1SvXr19fatWvVtWtXsyN5HMeZM+dtCyouUodTh/VjaEuN2puiTqcOVem42nKhpZgVObLqE2X8MV5bdh5V2sa9+vXIyYt+/mti2+oPPdqp+x+i1KJlI7d3DoU1ClZAgJ+Kiuy6b1BPDX3wT/Lz8y150L9eydKt3hNLPsjv38DV7Zw4t/MLnuvzgz+p2Kj638aJTW9Sh4Kj6p5/0PkO+zdQ/AIAAABQKcsUv9atW6cHHnhAfn5++uijj3TttdeaHckj+QQHn7fNV4ZG7EvV0cAGapnvfKi6s+NqS0VLMQvlq70BTbUzoIV2BLTQMb/fzc566dMqP0e3q9uUFbgubXWJfHysszTOZrOpQ8dIDXogTtfEtnW+U0jTkg/xfJB3KreI4pc3+PSX6i2Pd9h8FFl0quIdCukIBAAAAErZ5L6ZX9b5xF01lih+ffPNN7rnnntkGIaWL1+um2++2exIHqt+bHed+fbb87YHOuwVFr5Kjqv44gM15WwpZkr9zvo45KpqnadLTCt1/0OUYntE6bK2TS1V4KrM9Bl/VkCgJX7dPFIORQ6Pd7qoQF8d2nfBfQIcdrUuylWrohy1KsxVp4Jf1dJ+ga7PgJBaTgkAAADAG1ni0/gdd9yh/Px8XXbZZUpOTlZycvJ5+8TFxenhhx92fzgPE3b33Tqa9LrTTqsK+fkp7J67XZbJ2ZLK+o5Cp/teVnRUnQsOqnNhti7vfKnaLv/AZbncicJXzdD55fm+PJShQkexQvwD1SakkVqFhKl1g8Yl/933qVpvmqMI+yn5VOekbeJcFRcAAADwTMz8csoSn8hzc3MllVw1MjMzs8L9KH5Vzq9JE4X166fcFSuqfExY//7yq+KlyS+GsyWVMQVZanf8iC4pPi3fCn47/UI6uiwTPMsJZn55vO5NWmlL/7FqFFDv/Ll7TSOl716p3gl9/Etm4gEAAABAJSxR/DKqMQAZlYuYOEGF+/dX6eqK9bt3V8TECS7N42wpZrBRqOBi591f/zvOdUsx4Vno/PJ8TetdYIligwip65+lrUurfsJug7gYBAAAAIAqsUTxC7XLJyhIly54U0f+9pJyV61yvgTSz09h/fsrYuIE+QQGujSPFZdiwrNwtcc64Nbp0vEM6cCGyvdtHSf1me76TAAAALXIr7jY7AgX5Ge3y8fhKLlfXI3PbiaxFUtFPr7S71cV1HHuGnjvaSh+eSmfoCBFTnlBTcY8ptyVHyovLU2OM2fkExys+rGxCrvnbpcudTyXFZdiwrPYDWu/UUAt8K8nDV4prR8vbfuH5Cg6fx8f/5KOrz7TJf8g92cEAACogUEr0syOcEE+xQ5dkf1r2dcOn2pNY3U7h5+0oMf/U5EvZQ1Ujp8SL+cXHq7wRx+RHn3E1BxWW4oJwIL860nxs6XeE6Wtb0v7N0iFp0uu6tgmrmTGF0sdAVyAb6HUaLf1/8Gk3kHPuYrx6RZhZkeoEsPX7ARVM3ijZ8wwbphS3+wIVRaR8rPZES7IzyhWw9yTOlXc0OwolfJxOOR39ogkKfCEQw6LN1TZHFLjnUWy+1i31Wl/gQnZGCvlFMUvuIXVlmLCM9XzDTA7AtwhpKn0p6dKbgAAAB7MLh8tC4tV9jUtzY5SKb9iuwJPlCx7/EdUb9l9rVlV9nM4dH/GF2bHgIeh+AW3sdJSTHimsIALDE0HAAAArMZmk12+snvI0jyHrWSpo93XV3Yfq2a2/jwy0xhunPnlYQ1mVv1phhezylJMeJ4w/2CzIwAAAAAAPIy1J9gBwDkaBVD8AgAAAABvkZeXp+TkZD300EPq0KGDgoKCFBwcrJiYGE2ZMkWnT9fOnEyKXwA8Rpg/yx4BAAAAoEKGm2615L333lO/fv20aNEi+fr6qm/fvurVq5cyMzM1efJkde/eXb/++mvlJ6oExS8AHiOMzi8AAAAA8Br+/v4aPny4du7cqZ07d2r58uVav369du/erW7duik9PV1jx46t8fMw8wuAx2DmFwAAAABUzOYwO0H1DB06VEOHDj1ve2RkpF5//XX17NlTq1atUmFhoQICAi76eej8AuAxuNojAAAAANQNMTExkqSCggIdP368Ruei8wuAx2DZIwAAAABcQC3O4zLbvn37JJUsjWzcuHGNzkXnFwBLKzb+17fLskcAAAAAqBtmz54tSerTp48CAwNrdC46vwBYWkFxYdl9lj0CAAAAQMVsbuz8ysjIUHR0tNPHduzYUaNzr1u3TgsXLpS/v7+mTp1ao3NJdH4BsLgTRXll90P965uYBAAAAADgaunp6Ro8eLAMw9Arr7xSNvurJuj8AmBpJ4rOlN0P8r34q3sAAAAAAGpPVFRUjTu8fu/gwYPq06ePcnJy9OSTT+rxxx+vlfNS/AJgaTmF/yt++dpoVgUAAAAApwxJhpvWPbrgaX777TfdfPPNOnDggIYNG6ZXX3211s7NJ0kAlpZ7TvELAAAAAOB9Tp8+rVtvvVU7d+5U//79tWDBAtlstlo7P51fACwtt+i02REAAAAAwCO4c+B9bSkoKNCdd96ptLQ03XLLLXr//ffl6+tbq89B5xcAS6PzCwCsbeHChbLZbBoxYkSF+9x7772y2WxavXq1G5MBAACrKy4u1v3336/U1FT16tVLq1atUkBA7c96pvMLgKXlFlH8AgAr69mzpyQpLS3N6eOpqalauXKl+vTpo/j4eHdGAwCg7vGwzq+kpCR99NFHkqTw8HCNHDnS6X6vvvqqwsPDL/p5KH4BsLTcQpY9AoCVdezYUY0bN9b27duVn5+vevXqlT1mt9s1ZswY+fv7a9asWeaFBAAAlpSTk1N2v7QI5kxiYmKNil8sewRgaXR+AYC12Ww29ejRQ3a7XVu3bi33WFJSknbs2KHHH39cHTp0KNu+dOlSdenSRcHBwWrTpo3GjRunvLw8d0cHAMCr2FQy88stt1rKnJiYKMMwKr21adOmRs9D5xcAS2PmFwBYX8+ePbVu3Tpt2rRJ1157rSTp119/VWJiopo1a6bnn3++bN9Vq1YpISFB48aN0y233KL09HQ9++yzOnHihN54441Knys6Otrp9oyMDPkEhtXK/w8AAPAuFL8AWBrFLwCwvtK5X5s2bSrbNn78eJ04cUKzZ89WgwYNyrYvW7ZMcXFxmj59uiTphhtu0K+//qo5c+ZUqfgFAAB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" ] @@ -103,8 +103,8 @@ "\n", "\n", "\n", - "axs[0].scatter(plot_data[:, 0], plot_data[:, 1])\n", - "axs[0].scatter(plot_data2[:, 0], plot_data2[:, 1])\n", + "axs[0].scatter(plot_data[:, 0], plot_data[:, 1],color=\"C3\")\n", + "axs[0].scatter(plot_data2[:, 0], plot_data2[:, 1],color=\"C1\")\n", "axs[0].set_xlim(-5,5)\n", "axs[0].set_ylim(-5,5)\n", "indices = torch.arange(0,len(plot_data))\n", @@ -115,7 +115,7 @@ }, { "cell_type": "code", - "execution_count": 119, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -133,12 +133,19 @@ }, { "cell_type": "code", - "execution_count": 120, + "execution_count": 6, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([2, 9, 6, 8, 1, 7, 4, 3, 5, 0])\n" + ] + }, { "data": { - "image/png": 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"text/plain": [ "
" ] @@ -149,7 +156,8 @@ ], "source": [ "permutation = torch.randperm(plot_data2.size()[0])\n", - "plot_data2 = plot_data2[permutation]\n", + "print(permutation)\n", + "plot_data2_copy = plot_data2[permutation]\n", "#pairdist = torch.cdist(plot_data,plot_data2)\n", "\n", "fig,axs = plt.subplots(1,2,figsize=(10,5))\n", @@ -164,24 +172,103 @@ "\n", "\n", "\n", - "axs[0].scatter(plot_data[:, 0], plot_data[:, 1])\n", - "axs[0].scatter(plot_data2[:, 0], plot_data2[:, 1])\n", + "axs[0].scatter(plot_data[:, 0], plot_data[:, 1],color=\"C3\")\n", + "axs[0].scatter(plot_data2_copy[:, 0], plot_data2_copy[:, 1],color=\"C1\")\n", "axs[0].set_xlim(-5,5)\n", "axs[0].set_ylim(-5,5)\n", "indices = torch.arange(0,len(plot_data))\n", - "for ind,p1,p2 in zip(indices,plot_data,plot_data2):\n", + "for ind,p1,p2 in zip(indices,plot_data,plot_data2_copy):\n", " axs[0].arrow(p1[0],p1[1],p2[0]-p1[0],p2[1]-p1[1],head_width=0.2, head_length=0.2,length_includes_head=True,color = cbar.cmap(pairdist[ind,permutation[ind]].item()/pairdist.max().item()))\n", "\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([8, 9, 0, 3, 1, 6, 4, 2, 7, 5])\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cost,transport = sinkhorn_algorithm(plot_data,plot_data2,epsilon=1e-3,niter=2000)\n", + "plt.imshow(transport)\n", + "print(transport.argmax(dim=1))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tensor([8, 9, 0, 3, 1, 6, 4, 2, 7, 5])\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "cost,transport = sinkhorn_algorithm(plot_data,plot_data2,eps=0.1,return_transport=True)" + "permutation = transport.argmax(dim=1)\n", + "print(permutation)\n", + "plot_data2_copy = plot_data2[permutation]\n", + "# pairdist = torch.cdist(plot_data,plot_data2_copy)\n", + "\n", + "fig,axs = plt.subplots(1,2,figsize=(10,5))\n", + "\n", + "colors = axs[1].imshow(pairdist)\n", + "axs[1].set_xticks(np.arange(len(pairdist[:,0])),labels=['$x_{}$'.format(i) for i in range(10)])\n", + "axs[1].set_yticks(np.arange(len(pairdist[:,0])),labels=['$y_{}$'.format(i) for i in range(10)])\n", + "for i in range(10):\n", + " highlight_cell(i,permutation[i],ax=axs[1],color=\"r\",alpha=0.5)\n", + "cbar = fig.colorbar(colors, ax=axs[1], location='right')\n", + "\n", + "\n", + "\n", + "\n", + "axs[0].scatter(plot_data[:, 0], plot_data[:, 1],color=\"C3\")\n", + "axs[0].scatter(plot_data2_copy[:, 0], plot_data2_copy[:, 1],color=\"C1\")\n", + "axs[0].set_xlim(-5,5)\n", + "axs[0].set_ylim(-5,5)\n", + "indices = torch.arange(0,len(plot_data))\n", + "for ind,p1,p2 in zip(indices,plot_data,plot_data2_copy):\n", + " axs[0].arrow(p1[0],p1[1],p2[0]-p1[0],p2[1]-p1[1],head_width=0.2, head_length=0.2,length_includes_head=True,color = cbar.cmap(pairdist[ind,permutation[ind]].item()/pairdist.max().item()))\n", + "\n", + "\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/labproject/metrics/MMD.py b/labproject/metrics/MMD.py new file mode 100644 index 0000000..9e8c3b5 --- /dev/null +++ b/labproject/metrics/MMD.py @@ -0,0 +1,74 @@ +import numpy as np +from sklearn import metrics +import random + + +def mmd_linear(X, Y): + """MMD using linear kernel (i.e., k(x,y) = ) + Note that this is not the original linear MMD, only the reformulated and faster version. + The original version is: + def mmd_linear(X, Y): + XX = np.dot(X, X.T) + YY = np.dot(Y, Y.T) + XY = np.dot(X, Y.T) + return XX.mean() + YY.mean() - 2 * XY.mean() + + Arguments: + X {[n_sample1, dim]} -- [X matrix] + Y {[n_sample2, dim]} -- [Y matrix] + + Returns: + [scalar] -- [MMD value] + """ + delta = X.mean(0) - Y.mean(0) + return delta.dot(delta.T) + + +def mmd_rbf(X, Y, gamma=1.0): + """MMD using rbf (gaussian) kernel (i.e., k(x,y) = exp(-gamma * ||x-y||^2 / 2)) + + Arguments: + X {[n_sample1, dim]} -- [X matrix] + Y {[n_sample2, dim]} -- [Y matrix] + + Keyword Arguments: + gamma {float} -- [kernel parameter] (default: {1.0}) + + Returns: + [scalar] -- [MMD value] + """ + XX = metrics.pairwise.rbf_kernel(X, X, gamma) + YY = metrics.pairwise.rbf_kernel(Y, Y, gamma) + XY = metrics.pairwise.rbf_kernel(X, Y, gamma) + return XX.mean() + YY.mean() - 2 * XY.mean() + + +def mmd_poly(X, Y, degree=2, gamma=1, coef0=0): + """MMD using polynomial kernel (i.e., k(x,y) = (gamma + coef0)^degree) + + Arguments: + X {[n_sample1, dim]} -- [X matrix] + Y {[n_sample2, dim]} -- [Y matrix] + + Keyword Arguments: + degree {int} -- [degree] (default: {2}) + gamma {int} -- [gamma] (default: {1}) + coef0 {int} -- [constant item] (default: {0}) + + Returns: + [scalar] -- [MMD value] + """ + XX = metrics.pairwise.polynomial_kernel(X, X, degree, gamma, coef0) + YY = metrics.pairwise.polynomial_kernel(Y, Y, degree, gamma, coef0) + XY = metrics.pairwise.polynomial_kernel(X, Y, degree, gamma, coef0) + return XX.mean() + YY.mean() - 2 * XY.mean() + + +# a = np.arange(1, 10).reshape(3, 3) +# b = [[7, 6, 5], [4, 3, 2], [1, 1, 8], [0, 2, 5]] +# b = np.array(b) +# print('a:', a) +# print('b:', b) +# print(mmd_linear(a, b)) # 6.0 +# print(mmd_rbf(a, b)) # 0.5822 +# print(mmd_poly(a, b)) # 2436.5 diff --git a/pyproject.toml b/pyproject.toml index a4fbe1d..685a64f 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -14,6 +14,7 @@ dependencies = [ "torch", "OmegaConf", "torchvision", + "seaborn" ] [project.optional-dependencies]