{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Replicate https://stats.stackexchange.com/questions/190148/autoencoder-pca-tensorflow?rq=1\n", "\n", "but using \"keras with tensorflow backend\" instead of tensorflow directly" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "load libraries\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] } ], "source": [ "print(\"load libraries\")\n", "import numpy as np\n", "from sklearn.decomposition import PCA\n", "import utils\n", "\n", "# https://stackoverflow.com/a/34306306/4126114\n", "np.random.seed(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X [[ 5.48813504e-01 7.15189366e-01 3.65816378e-01 2.61627984e-01\n", " 8.45505553e-02 6.45894113e-01]\n", " [ 4.37587211e-01 8.91773001e-01 7.09190581e-01 6.32437012e-01\n", " 6.66350154e-02 5.28894920e-01]\n", " [ 5.68044561e-01 9.25596638e-01 7.92985609e-01 7.33984814e-01\n", " 1.57032938e-01 8.32619846e-01]\n", " [ 7.78156751e-01 8.70012148e-01 6.58530585e-01 5.72929609e-01\n", " 3.56657945e-01 7.80529176e-01]\n", " [ 1.18274426e-01 6.39921021e-01 2.62046963e-01 1.67689360e-01\n", " 6.77524960e-04 4.14661940e-01]\n", " [ 2.64555612e-01 7.74233689e-01 4.64104944e-01 3.59325683e-01\n", " 1.10992866e-02 6.17635497e-01]\n", " [ 6.12095723e-01 6.16933997e-01 2.34809741e-01 1.44862112e-01\n", " 8.72841608e-02 4.37031954e-01]\n", " [ 6.97631196e-01 6.02254716e-02 2.18444256e-04 1.31559083e-05\n", " 1.23151044e-03 1.28926298e-01]\n", " [ 3.15428351e-01 3.63710771e-01 4.81136702e-02 1.74994601e-02\n", " 4.15159042e-03 1.02044811e-01]\n", " [ 2.08876756e-01 1.61309518e-01 4.19739634e-03 6.77079980e-04\n", " 2.37132090e-04 2.44425592e-01]]\n" ] }, { "data": { "image/png": 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4dXlU5J+7E6wqqqempIHC1Bp0Vf/9qPSfrKqoAavZ9SyX/ImA7nA4yU3UYLc6\nyNjveoay4ysvWv3Kc+uorzGjrzajKfhrBivnM0K3A8/LstwbGAk8LklSb+BlIFaW5W5AbOPPl5zT\n4WTHvAwOrs5h+7x0nM7zD6IJWwrZNiedoxvzm+2zWR1sn5POoTW5FDWOys7EZnGw5ac0Ere5gr+h\nzkLswkx+fnbvn2pYAKYGK5kHy0GG5NjiJvsq8nRs/C6Z2jIDNouDnPhKug6OICDMh86DwsmOr8Ru\nO9VJJW1zBfKUnSU4bE5kWWbL7FTW/ecY5Tl1LZbfoDVjMdqa16veirnBRn5KNbVlBox6KzkJLTf6\ninwdSpWCniPbUl1c36ROZ5N1pAKj3kqD1kJ+cvV5HXMmuioj8ZsLsFsd2G0OijJqzrsef1SQUo2k\nkGjfM5jijFp3hy1fQJs7l+OHyknaXkT85gJWf5p4zllKVlwFCpWEpJDcQaglcevy2Ph9yp86d6vZ\nTl5S1UXtXB02J9vmpJO+r7TZvvzkKne71FWZ0FWd37uhk7Omjn1DKc3SXvB9Oba9iC0/pbFjXgZ5\nSVV4+aooz9FRX2u+oHzO5PjhClReShQq6aJ2FGejOlcCWZbLgfLGP9dLkpQJtANuAMY3JlsA7AZe\nuhSVzDtWRVVRPSpPBVlxlWjLDcT0D6MgpZrjh8rpObINRRm11JQ20GVwBEERvs3y0FWZSNxaiMpD\nwbEdxfQaHUVQ5Kl0ybHFGHRWvP09OLAqB5vVQXmuDpvZQbseQXQdHIFCqcCgs7BjXgYlx7XkJmqw\nWRyk7S7FarHj7evB9jnp3PLKMFSeCrx8VFjNdqqLGwiM8MU/2MtdnsPupLbcgG+AJ36BXqTuLsVu\nc9KuRxDHD1cw4obO+Ph7Ul9rZtMPKZjqbZTn6vDyVWE1O+h1WRQAPUe35cSRSk4cqSQ40hdJIZGb\nqKFtl0DKc3WcOFqBpJAoz9Wh9FCw59cT3PrqUBTKU315QUo1W39JQ6GQGDAxmp6j2iBJEscPlZO4\ntRClSoGXnwcBYd4oVQqOxRbTfYQrzekq83SER6uJ6hZEcmwxVYX1hLb3pyJXh4/ak7AO/tgsDpRK\nBUoPBRajDYvRTtK2IsI6+GM12UneWUx4tJrcpCpKjtfSZVAEPUa1wVxvw9vPA6XHmccghjoLa788\nRn2tmdIsrXsJy8tPRb9x7Rk4KRovn6ZNXnbKmI02vHxU7msiyzINWgt5x6qI6hpIt6GR7Fp8nNpy\nA6Z6GzvXps73AAAgAElEQVTmphPSzp8rZ/TCL9CLBq2F6pJ6vP09CAzzwUfteV7t2mZxELcuj8hO\nAVzzWH9+fe8IuxYf5+aXh6JQSM3SOx2uGWanfmE4nTKZB8vpO6496hDvJumyj1YSv6kAgD1Ls7ji\nnl5N7lXpCS3JscWEtven37j2VObr8A3wIiJGjc3sYP03x6jI09OxXygT7+2N1WwnaWsRkkJiyFUd\nqa81o6syIcsybbsEERju475mxZm1FKRU0657MH3HtUOpcl3TvctPkH20kpz4SgLDfWjfMwR9tYn4\nzQVkHihHoZIYenUMiduKkCSYeG9vSrK0NNSa6TQgjHbdg1GHejc9jywtIVF+dBsWSWFaDdUlDYRH\nq933UHbKTdo5uAZuBq0FSQHxmwrwUXuQm+R66T3p/t5s+SmNnAQNgyZFN20nsozTIbvP51wMOgu5\nCRq6Dg7HYrSTE1/JmGldkVq4rxeTdCHLBJIkxQB7gb5AkSzLQY3bJUB78uczGTp0qBwfH3/Bldy3\n/ASpu0qQZQht78/Qq2PoMjicVZ8kUFVYj6SQcNgbRxMS+Ph7ACDLgOy6GQ6bExQSU58bxO9fJiE7\nZSRJwm5zIkmuB7tjvzB6jmzDlp9c65Mqj5OBx46XrwqFSoFJbwUJJtzZk/R9pWgK6wlu48vVj/TD\nYZdZ+VG8uy5KlQKnw8nJS+zpo0KhdI2urEa7O53KS4nd6iCmbygjp3bht3eP4OmtRFJK2K1OFEqJ\nKQ/15eCqHCRJYtRNXejYJ9R1jk6Zha8fpKH21FclCqXE3e+PZsO3yeg0RmQZwjr4M3BiNFt/TnOd\ni1ICSULCNQoP66DGP9ir2Qi5y6Bw6rUWNAV6xk3vgSTB7iVZ+AZ4wh/aplFvZeCVHRg0uSPzZu1H\n5aHA4ZDdIyelh8K9XOPhrcRmPjV6nPxgHwx1Fg6szHFv8wvywlBncZUjgySBj9oT6QzPhNXiQJZh\nwIT2JDR23iOu70x5ro68pCpUngo8/xDQrUY7dpsThULC01eF3eZ0Lck13rMJd/WkQ+8QFr56EC8/\nFVajHXWoN0adFacs4+GlxGKwN8nTy091Xg++0y5jNti46YXBtO0aRHZ8Jdt+SW9yf5x2J06njMpD\ngdMhYzHaufqRfnj5qlj7ZRKyDL4Bnq7qyjKy7DqnyE4BRHULImGL6zp4eCtx2Jw47DIOuxMvP1WL\n9ZadYLc46DWmLRn7y9xtV6lSuIPaH3n7eWCzOtz31kftganehqePClVjB2zUW+k/oT3FmbXoqk1N\nrtugydEUZ9ZSXdxAaDt/nA6n+x2RX6Cn+72MylOBh7fK1RxkGVODjf7j2zNockcWvHIAL19XefJp\n99XLV4XslLFaHHh4Kl0vk0+ek4eCO94czv4VOTjsTq5/aiArPjxKTZmhSccvAxaDDadDxstXdWpQ\nIeO+7u7fZJCRXecmwdTnB2PQWtg2J50bnxtEu+5/bmVakqQEWZaHnjPd+QZ0SZL8gT3AB7Isr5Yk\nqe70AC5JklaW5Wa1lSRpJjATIDo6ekhh4Z9bo3Y6ZawmV2A92UvXlhlI21OC0lNJ286BhEX7cyKu\nwtUAGoMVUmPckSQ6Dwyjfc8QSo7XkpNYhcpD4WoAsozN7GDgpGjUod6k7ytDHeJNh17BSJJEfnK1\n6+WYLBMY6UvHPqGEtvOnQWvh+KEy+o1vj5evqxMpy66j9IQWDy8lRr0VlYeCiJgAdBrXVFJ2yjhl\nGU8vJREdAzDqrdTXmFF5Keg1ui2B4b6k7CqhttyAQgJJIdFtWCRtOgciy3KzUTFAUXoN5bmu0bG+\n2oRfkBfdhkZSkacj80AZCqWCgZM6EBDmQ/reUmrKDO6OTgZ8/DwYfFVHPL1V6KqM5CVVIykguk8o\nIW39cDicVOTqiOoahMPhJG5tHlaT/eQNdtfDNcLvQFCELym7itFpTHj6qIjqGkRDnZnqkgb8Ar1w\n2J2Y6m2oQ7zxUXvg6aOi04AwbBYH8ZsKCAj1pn3PEAIjfMhNrKKquB7/IC+MeitG3Vk+h5Qkeo5q\nS9sugZSe0OIb4ElwGz/AtfacebD8VMffyMNLiTrEG6PeisVkx8NTgcpTiY/ak7ZdAt0jvsRthdRV\nGvEL9GLQ5Ggaai1kHizDbnMSEOpDZOcArEY7dRojdRrTeU//I2MC6N0425JlmbQ9pdSWGdyBQqFU\noFBI2G0OFAoJv2AvBk2KRqFUUFdpJDdJg77KBApXe5ckCZWXkoETO+Cr9iTzYDnaCgM2qxOVSoHS\nQ8I/2Jteo9uiKdRTfFxLu25BNNRZKM/VgVOm65BIOvQOoSJPR1l2HU6HTI+RbXDYnBw/XE5olD/h\n0WocDifFGbXUaUx4eCoIjPAloqOa8Gg1hWk1FKRUuzsEdYg3g6/qSEOtmeTYYpwOmaBIXzr2DSUo\n0hezwUbW4Qp6jm6L0+7k2I5iug+PJCTKj+qSBipydeiqTdgsroAsKSSUSon+V3QgMNyHpO1F1DW+\ne5IBLx8VHt4qzA02JIXrPtstro7MP9iLOo2JiGg1XQZHuI5xykgKibLsOrKOVDS7T96+Hqg8XQM6\nx+md2mnx5fR44x/iTYdeIYRHq13tenMBfS6LIiDM57zaxR9d1IAuSZIHsAHYKsvyF43bsoDxsiyX\nS5LUFtgty3KPs+XzZ0fogiAI/5+db0A/n69cJGAOkHkymDdaB8xo/PMMYO2fqaggCIJwcZzzpSgw\nBrgbSJUk6VjjtleBj4DlkiQ9ABQCt16aKgqCIAjn43y+ctlPs9dfblde3OoIgiAIf5b4m6KCIAit\nhAjogiAIrYQI6IIgCK2ECOiCIAithAjogiAIrYQI6IIgCK2ECOiCIAithAjogiAIrYQI6IIgCK2E\nCOiCIAithAjogiAIrYQI6IIgCK2ECOiCIAithAjogiAIrYQI6IIgCK2ECOiCIAithAjogiAIrYQI\n6IIgCK2ECOiCIAithAjogiAIrYQI6IIgCK2ECOiCIAithAjogiAIrYQI6IIgCK2ECOjCRSXb7Th0\nujPut9fU4DQa/8IanZ3sdFIfG4vTYmm2rz42FrtW+9fUQ5ZxWq1/SVlC6yUC+mlsGg36LVswZ2Uh\ny/LfXZ2/lLWo6KIEr5pf5pB71dXINluL+wun30nlhx/+1+VcLNrffqPk8SfQb9jYZLutspKSx5+g\n4u13LnkdZIeDslkvkXPllch2+yUv75z1sVqp37Xrf+oZkK1WnAZDs+02jYaGffv+hhr9b/rHBXRz\nVhb6rdsuSWOr+vwLSp95lvwbbqTut98uat418+ZT9tJLFzXPi0WWZQrvvoeKN986Z7rTOerryZt6\nE4YjR9zbDHGHcWi1WLKzmx1vq9RgLSzEeDT+guvYsGcPTpPpgo8DMKWmYSsra16f8nKqPvu8MU1K\nk33mtDQA6rduxZSc/KfKPV8Vb7+Dfv16HFXVWHJzL2lZ56Pu998pefQxzCkp5058Keuxeg3VP/0M\nQPk771Bw+x3N0lT/8APFMx/+y2ZS/+v+MQFdttspfeFF8m+4kdKnn6bsxVl/+gE/E2N8PH6jR+PR\nrh0Ne8/d68uyjK1S4/75TEsNsiyjXbQI3br1F63hWfLzsRYUXJS8rAUF2Csradi7F6fRSOnzL6D5\n6qtm6cpffY2iBx9y/2yMi8OSmYl+0ybAtXxhTnUFQlNKarPjzWmp7vIcev0Z61O3eg01c+aeOi4j\ng+KHH6F20eILOi+7VkvRAw9ScMstlL3yKgANBw5gOHgQAM2XXyLLMp5du2BOS29a1/R0UChQhoai\naQz6l4K1sJC6FStQT54McMk7j/NxssM1xic02/dXLpdVz/6Rqq+/xlpSgn7TZizZ2dhKS5ukMSUk\ngixjPHr0gvN3ms3ULlhwSc/JaTJd9Dh1Nv+YgF63Zg36DRsIuf9+wp56Ev3GjWg+/eyi5W+rqMBW\nWor/+HH4jR6FMT4e2eE46zHaRYvImTABc0YG9bt3c2LUaEypzQOZJTvbNUKUZYxxR1rI6cKYUlIo\nuPkW8m6aRsO+/f99fgmuB1e2WKie/RP6jRvR/vpbk+m/Q6dDv2EDhv37sWlcnZjhcByA+5ysBQU4\nGxpceaY1vw6nB/mTI+A/kp1Oqr76iqqvv3ZPset37nKVdx5Ta1mW3Z1m7YIFGA4dwmfgQIwJCTga\nGih/9TXKXn0Np9VKw85dBFzzL9Tjx2POymqyhm1KS8Ora1dC778f49GjZ+08jQkJ5EychK2i4pz1\nA1dHk3vNtTTsP0DDgQMARDz3LMrAQMwttJ+/mjGhMaAnJTbZXjNnLlnDhrvrfCYNe/e2OLixV1cj\nn+d7AltZGbbCIrDbKXv+BeTGoGg4cipwO/R690zwzzxXtfPnU/nhR2iXLb/gY89X8SOPNhkEXWrn\nDOiSJM2VJEkjSVLaadveliSpVJKkY42//nUpK+k0maj+5lt8Bg0i4sUXCH/sMYJuuYW6FSuwlZVR\nM38+xsTEc2d0FqbG430GD8F3+Aic9fWYjx8/Y3pbWRmar/4DTie1CxZS+8sccDqpW726WdqGXbsB\nkLy9MRw61OL55d9yK6WzZrmD5elkWcZa4hqZWIuKKHpoJsrgYDw7dqT40Ucx/WFqLNts1Mybj62y\nssW6Gw7HUfriLPeLQGN8AsqgIJRBQdTMnu2qk07XZISm37rVvS5+8nyMcYdddcrPx6bRuIORR1QU\n5pZG6KkpeHToALiWQey1tTgaXEHbrtVi12oxp6Zi12iQLRYa9u51lbdzp6u8pCQcjR3GmWg++ojs\nseMwpaejW7cOvzFjCH/mGbDbqZn9E/bKSuwVFdTOm4+zoQH1hAl49+0LNhuWrBPu621OS8e7Tx8C\nrr7Kdf7btp+xzNpFi7GVlLR471ui37ARa24utQsXYDhwEI/27fHo2BHv/v1bnNn8UcV771P94+zz\nKutC2crKsJeVI3l5YUpIdC+z1cydh+bTT8HhQHuWmZIpPZ3imQ+j+fyLJtsb9u0n58qJlL/xZpPt\nZ1o6NRxytS1VZCSm5GRUkZEog4IwxsWdKuvYMZBlFIGBGI/ENTneGB9P4X33NZsJOurq0Hz1FcbE\nJGp+/gWAulUrsWu1lL/51kWb9QJY8vIxxsVhSkj4y2Ze5zNCnw9c1cL2L2VZHtj4a9PFrVZTtQsW\nYtdoiHjxBSRJAiB05kxkWSb/ttvQfPQxRQ88iDEp6YLztpWWYkpLx5iQiOTri3fPHvgOHw6cudeX\n7XbK334bZBn1pInoNmzAGB+Pws+P+s1bmr0QbNi9G+8+ffAbNQrD4eYBXbtkCebUVPSbt5B/3fXN\nGlX199+TO3Ei9bGxaD7/AtlmI3reXDouXIBSrabqm28B15o2gHb5cjQff0zFW2+fyuOnn8m99lqs\nBQWUvfoK+vXr0S5Z6jrPhAR8hg7B/4orAAi69VYkLy/qY2OR7XacJhP6devx7NwZj/btqd8Zi726\nGkt2DuopU1x5HDmKKSUVha8vAddfhyUnB1tlJYa4I8iyjOx0YkpNw2/MaDyiozEcPEj+DTdSeOed\nOHQ6CqbdTMHNt6Bbtx5UKpRBQei3bsNWUYE5IwO/sZeD3Y7xsOtB12/eTOnzLzR5UabfsoXaBQvB\nZqPkySexl5UTeMMN+A4ehOTrS838+eDhASoV1d9/j+Tpid/IkXj37QecWhKyV1TgqK3Fu28fPKKi\n8O7Xj/pt21psCw6djobYWAB0q9cgO50tpjudbs0aAAz7Xcs/fqNHI0kSPv36YcnObvHl30nGhAS0\nS5ZQ9d13WEtKzpiuZs5cSp977qyDktOZT5xA8+VXNOx3zfiCbr4Zh1aLNb8Aa2Ehmi+/RD1pEqEP\nPkDD3r3YystbzEe7cKHrHNetw1FXB7iCecljj4Eso1u/HmtxMU6jkYr33ufEyFEtDnIMhw6hDAsj\n7PHHAAi45hp8hw/HeNr7GmNiIiiVBE+/A0t2DvaaGsDVSVR++BHGQ4epnb+gSb6ar76i5sfZFE6f\njtNkImTGDKw5uRQ98AB1y5dT/tbbF/x+rqUvpKDxPiuVKHx9qV246ILy/LPOGdBlWd4L1P4FdTkj\nj/btCbrjdnwHD3Zv82zfjqCpN+Koqib0oYdQRYRTPPNh9I0P3h9viizL6NauJe+GG9EuX+4ahWVk\nkD/tZgpuuw39pk34DOiPpFLhERmBZ0wMDXv2UL9zF+asE+78nGYz5a+/gWHvPiJnvUj4c8+Bw4HC\n15c2b7+Fo66Ohv37sZaUUnj3PWQNHoLp2DH8x4/Hb9RIbIVFTR5ER3091T//gt/Yy+m89neQJIqf\neMIdnC3Z2a7RmCRR9upr1G/dSuh99+HZoQNKtZqQ++/DsG8f5W+8wYnhIyh7+RWqv/kWhZ8fDbt3\nYzh8GMORI1R9+SXWnFzybpqGvawcz86dqf7xR9dyUHExvkOGEjTtJlRRbQl7eCZ+o0ej37SJnEmT\nyRoyFGN8PIHXX4f6yisxHjrsvs4h985A4e+P8cgRTKmpePfti8+AAeB0kn/TNIpmzKDinXcwp2fg\nrK/Hp19/fPr1wxgX5+oUsrLIv+VW1xS7tBTtkiX4DR+G+qopNOzZ4+50Ip57znVO+/ZjPHqU0lkv\nod+4kZJnn3V9lbFjB2Uvv4LPgAFEvPgi9rJyFH5+qK+8whW4R4wAmw3/0aPxGzUK2WLBd8QIFH5+\neLSLQhkUhKlxGejk7z59+wKgnjQJc9qpF6tOi8W9HKfftAnZZiPkvvuwlZRgbFwScJpM1MydR951\n16H9bZm7/ZizTmDOyCD4zjvB6UQ2mfAbM8ZV3oD+4HRizshwt1nD4cNU/zgba3Exsiyj+fwLlGFh\nSAoF1d9+h0OnazJrcRoMaL74Es2nn6LfvoP8G6dS9tpr7mAHri9GTCkp7iUic1YWRTPupWb2bCrf\nex+Fvz/Bd9zuuhaJCWg++wzJw4PIN14n6PbbQZapmTev2dqzTaNBt2kzfqNHI5vN1K1ciSUvn9Ln\nnsOzSxc6rVoJSiUV777neg6XLkXy9HB9TfTuuxTeM8M9ejbEHcZv5EgCr72WoFtvJeSuO/EdPhxb\nWRmFd91NzuQp1G/dhnevXqjHjwdAu2Qp1sJC6rdvx5yejioigtoFC9xLcJacHOqWryDwxhsJuuN2\nwp99hrAnn0Dy8cGSkYnP4MEY4+Ko37LFfU7mzEzKXn6F2kWLXV/aGI0YE5Ooj43FVllJ6axZnBg6\nDO2KFU0+PZWtVnRr1+J/2WUE3jwN/datTd63XSrS+fRGkiTFABtkWe7b+PPbwL2AHogHnpdl+Zxv\n+4YOHSrHx1/4Fw5n4jSbsWRl4TNgALayMkqeehpzWhoKtRqnwYAyIADJ18eV2OHEXlmJMjgYh1aL\nMjQUZ309yrBQPCIiMR07RtjjjxP+5BMAlL/1NnXLlp26Br6+SEolzsZAG/bUk4Q/5ho9VH76KR4R\nEQRPn0725WORbTZkux1JpSLgumtx6vVEvPACTqORvGuvA5UKVXg4OBw46uqQrVZiVq3Ep08fDIcO\nUfTAgyDLqCIicBoMSCoVUZ9+SvEjj6AMCqLL1q0o/f1cp9VgIPfKK3HodHj36+da9pAkYn77ldJn\nn8Oh0yE7nXhERBD+7DOUPvc8AVdNIfThh8m/cSoolWC3E7NiOT79+rnPt27Vaspfew3PmBjUV03B\nVlZG5EsvYc3Lo/DuewBQ+PvT/fAhSp54EsOBA8h2OyH330foffeRfdnlSN7eBEyZjG7tOne+ndat\nxXDwIJqPPibkgfuxlZVRv3kLwdNdXzBol/5K5Jtv4NWpE0X33Q+AZ9cudF6/npInn6Rhh2s07BkT\nQ9Ctt6L55BPXqNtux7t/Pzr88ANKf3/yp03Dd+Qo2rzmehlau2QJle+9T9sPPkB2Oqh4400i33id\nkDvvBKDooZkYDh5EqVYj22w4zWZ6JMSj8PbGWlBA7lVXowwKAoUCR20teHigCgvDodPh2b49McuX\nue691YpCrcZRUwOyjEdUFLayMlTh4UienjgNBhwGA9327qHk8ScwHTtG90MHUQYGYq+tJXv0GBRq\nNQpfX2SHA0d1tevCKRQoAwNxaLW0efstrIVF1M6b576uyvAwJA8P7FXVYLMRePM0Ip5/nppffnHN\nWux2lKGhKLy8sNfVITcGY4VajbO+HlVEBEG33Ur1N9/iN/ZyOsyeTfboMa7OwmYj/JlnCHvkYQBK\nnnyS+u07XAWrVK5Zs1Lp6qBsNrps3UL5629gSk5GUqmQPD3ptHIFHu3aUf7GG9StWIlHhw5E/fsD\nPKI7UnjXXdg1Gjw7d8aSlQWNs5y2H7xP0LRp7nO05OaSd821KNRqlGo1trIygu+5m8hZs8iZNBn7\nabMGz5gY2v3nK/JvnIoyOBiFj49rkCTLdNm2FVVwsDtt9Y8/Ys0voO3775F/8y1YsrJQhoSg8PbG\nVl6O5OmJbLG42tkfP8eVJLy6d8eSlYXk64tsNCL5+Lhm6XY77b7+D949e1Jw+x1EffoJ/o2d94WS\nJClBluWh50z3JwN6JFANyMB7QFtZlu8/w7EzgZkA0dHRQwoLC8/zFC6cbLVSs2AB9opKFP7+OPQ6\nZLMFZBlkGZ+BAwi65RZ0v/+OMSkJhZ8foffeizIwkJr58wm+9VZXoMX1iZ3hwAE8YzpizS/AnHUc\nZFCFBOPVqxf+48a5l39Op9+yhYa9+1D4+BBy7ww8G9eMT6rftQtT0jHsGg2olKiCgvAZPAT1FRPc\naYwJCRgOHnJPa4Om3YTvkCHU79yJMigY38GDmuTZsGcPtopKgm69hYbdu3HU6QiaeiOm1FS0S39F\nUikJufdevLp0wZKXj0f7dig8PanfvRvj4TgkT0/Cn34KSak8dS3tdup3xOI/biwKH59T22WZ+q3b\nsJWW4NW1K/7jxmFMSqJuxUokTw9C778fz+hotL/+inevXvgMHIjh4EHMmZlIPj4E33EHjpoaahcv\nJuzhh3GazdStWEnw9OlIEtQuXkLwnXei8POlfutWlEFBePfth9LfD0tODroNG5AUSoJunoZHVJTr\neiYmIXmoCH3oIXddZYcDFAr3PXLo9dTMmUvYwzMBqP5xNqEPPYhSrQbAlJaOfsMGZKsV2WbFq3sP\nQu6+y33eNXPmYsnPQ1IoUbWJRDZbXPdQlgmceiN+I0fSsGcPDQcOIJtMqCLb4DdiOD5Dh6JbtarJ\np5o+gwYSfPvtmFJTMWdkEnzbre59tQsWYMnJRXY6wCnjM2ggfqNGoVvzO/baGjw7xhBy152uGcCc\nuSiDgpDtNqyFhWB3oAoPw2/MGHxHjHCfuyU3l/rtO7CVliLbbCjUanyHDMZeWYm1sBCPqCgCrr7a\n9XXX/gN4tm+HZ0wMuvUbMCUl4RHdgeDp01F4egKuGcrJGZnr+XK6lpqcMl5duxI07SZM6eloFy8B\nhUTwHdPx6dsHcL0r0W/eTNCNN6Lw9XXlZzYDoPD2xq7Vul5C5xcQcs/dTdoegOHgQby6d0fy9ka7\naBEB112PZ/t2OC0WLNk5WI5nYj5xgoCrrsJ38GBqly7FnHzqHVPA9dedNajaKitd7zgKCpBtNjyi\n2hIyYwamlBQMBw+hDArCq0tnlIGBGOPjXe/chg6hduEibOVlqIKDcdTpkLy88O7dG/WUyUiShGyz\nIXl4nLHcc7mkAf189/3RxR6hC4Ig/H9wvgH9T322KElS29N+nAq0/A2aIAiC8JdRnSuBJEm/AuOB\nMEmSSoC3gPGSJA3EteRSADx8CesoCIIg/B/75h0eVbH//9emVwIkhF5DD733KqKCSLErolxFREXF\n7rVyLVjBAlhAEOm9twApkISEVFJI770nm2Sz9fz+GLIhJBQF7v2a37yeJ8/umTNnZs6cmfennM1N\ncENBVxSl4f/bwvo7MBaJRCKR3AL/mP8UlUgkEsn1kYIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJ\nRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp\n6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgk\nTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6JLbis6oo6C64Jrn86vyUevU/8URXR+T\nYsI7wxutUdvgnE+mD6U1pf+1cVTpq/4rfUmaLlLQryCyMJJPz3/KhugNlNWU3da2K3WVFFYX3tY2\nbyde6V5EF0X/5etSylMwmozm43VR65i9fzZ6o75BXUVRWHB8AV8Gf3lLY72d/BT+E0u9l3I05Wi9\n8oLqAl4+8zJv+r2JSTHd0TEUaYp4+vjTzNg7A72p4bz9tynSFLEqdFWjz/C/id6kNxvajIoMwgvC\nG9SJKYphbeTa//bQ/s/yjxL06KJo3vZ7m2dPPktMUcxtb3991Hp2xO/gu9Dv2BS76ba2/XHgxzx1\n7CkURbmt7d4ODCYD/z73bz4P+hyAsPwwEkoTGtQLzQ/FL8vPfJylzmLOgTnsS9pnLgvJD0GtVzd6\nfX51PtmV2Y1uzCsp0hSRW5lrPq7WV/O81/N/y+AE5gSyzGcZO+N3AqA1atEZdQCcTDvJb1G/ARBV\nFFXvutr1FZQbxLa4bX+535tFZ9Qx/+h8wgvCKa4pJrE08Y71dbMcSj7E+uj1XMi/8D8dxwf+H7Dg\n2AIUReHf5/7NS6dfquc8AGy5tIU1EWvIUmf9rT6q9dW3Y6j/Z/jHCHp8STxPHn0Svyw/kkqTeOLo\nExxPPX7b2lcUhcjCSGZ5zGKA2wBC8kNueE1MUQzLfJZRri0nS53Fy2depqSmpEE9jUGDb6YvWZVZ\npFWk3fJYK3WVLPZazKKTiyjWFN9yewmlCWgMGqKKoogpimHJ6SV8HPBxvTqKovCB/we8f+5986Y6\nnyOYYVEAACAASURBVHsek2IiKDcIAKPJaBbCxsT3YuFFADLUGZRry685nnfPvssir0Vm43cu+xwB\nOQHsT9r/l+7rZNpJFnktwivdiz9i/gDgVe9Xec3nNUBEEz1b9GRo66ENxhtTHIOFyoJRbUfxfdj3\naAyaa/ZT69HWGoobYTAZWBOxhryqPC4WXiSrMotXhrwCQFRh1A2uvvOE5YcBEFkQWa/8UvEllvks\nI68q77rXq3XqW45qjCYjfll+xBTHsD1+OxGFEVToKho4ChGFEYBYi3+VoNwgxm4ba16/d4IN0RtY\nH7X+jrV/Nf8IQVcUhc+DPsfZxpmjc49yYPYBerXsxbeh36Iz6ogoiKBIU3RLfWSqMympKWGQ+yCG\ntRlGVFHUda13jaGGd86+g1e6F7sTdvN79O/4ZPpwIu1Eg7oB2QHUGGuAxheeoih8G/ItuxJ2NfBA\nrkatU/Ovk/8iKDeIsIIwHj3yKPlV+Q3qnc8932heGET4uilmk1kwIwoizOde9XmVKn0VUUVR9eY0\nojCCTHUmpdpSszd7IU94cGH5YSiKQmp5KtUGMWfRxdcWdIDY4th650yKCZNiQq1TE5IXQlpFGinl\nKYDIZdfe0404nnacRw8/SrGmmL2Je2nn2I5Xh7xKhjqDhNIEAnMCCcgOIFOdSVxJHHd3vpvB7oNJ\nKE2gxlBTb3wezT14xvMZNAaN+V4bY0f8DtZHr8c70/uG4wMxb2sj1/JHzB9cyLuAChUP9XyIlnYt\nG0QKjXEo+RBns87eVF9/FZNiIqxACHqtWIKIdJ4+/jRe6V5svbT1mteX1JQwbfe0BnVyKnN47PBj\nbLm05abGEV8ab37X8mXwl1iqLAEIzgs21ynWFJOpzjSP70pyK3NZE7EGg8lQr9xoMnI26yzV+mpW\nBK/AoBjYEb8DvUnPoeRDt/U9hsagYW3kWtZErGnU0bsT3FDQVSrV7yqVqkClUkVfUdZSpVJ5qVSq\nxMufLe7kII+nHSesIIylQ5bSwq4FLrYuvDLkFfKq8ljms4ynjj3FM8ef+Vt5b0VR0Bv1RBYKb2Rg\nq4EMbzMcg8lgLmuMNZFrSKtIo71Te7bGbeVwymEAzmScaVD3TOYZmtk0o61j20a9gcCcQDbGbGR5\n4HLmH5vfwJD4ZvoyZusYUstT2Ra3jdjiWFZOXskf9/xBQXUBO+J31Ksfmh/Kcyef49eLv5rLzuee\nZ3ngcvQmPZ8FfcbXIV+bBTKiMAJ3B3eGtxlOXlUeXZp1AagnGgeSDmBvZY+lyhKfTB8URSEkLwQb\nCxsKNAVkVWaZxaijc0ezx3tlTjiqKIquLl0B4QE/c/wZ3jv7HgBLTi3hxdMvEpgTiEExmOfSYDLg\nl+2HvZU96RXp5FTmACJ3vythV70UVkpZCh/6f0hMcQzfhHxDYG4gM7rNYFz7cQB8H/Y9RsWIQTGw\nKnQVCgqj242mn1s/jIqRuJI4QKyJmOIY+rbsy7A2w7C3sq+XarqaU+mnAG46Yjydcdr8GZQXRO+W\nvXGxdaG/W/8bCnpJTQkfB3zMRwEfXTffHpYfxo64HTcdNVTrqwnKDSK5LJkKXQUuti5cLLyI0WRE\na9Ty3rn3aOvYluFthnMw+eA1+z6ScoQqfRV7EveYyzLVmTx17Cmii6NZF7XOfK1Xuhcvnn6xUY+/\n1oDO8piFUTEytdNUOjfrTEheXeRcuz+7NOtCUF5Qvajgl4u/sDZyLb5ZvvXa3ZO4hyWnl3DX7rtI\nKkuid8veeGd6syp0Fe+de4/VEatvar5uBt9MXzQGDTqTjr2Je29bu9fjZjz0jcA9V5W9A5xWFKUH\ncPry8R0jpTwFT1dP5nafay4b3XY0Q9yH4Jvly8BWA8mpzOEV71eu6ZUCVOmr2HJpCxW6CkB4I694\nv8Lcg3Pxz/HHydoJDxcPBrsPxlJleU2vLDAnkI3RG5nXYx5vDX+LguoCNAYN49uPJyQvxNz+sdRj\nfBzwMd6Z3kzsMJHR7UYTnBvcwAvfFLsJN3s3lo9ZTlRRVL2XPIqi8EP4D6j1an4M/5HtcdsZ224s\nkzpOwtPNk3Htx7E/aT8ZFRks9lpMeEE4m2JE/n9X/C60Ri16o56PAz5mV8IulvksIyAnAICNMRsB\n4aEPdh/MAx4PALB87HLcHdzNC/2l0y9xPO040zpPY0hrMefpFekUaAqY13MeIAQkuigaJ2sn7u16\nLynlKawMXcnE7ROJLopGb9ITWxzL2HZj6eTciW1x2wjJD+FQyiG2xW3DP8efc9nnWBu5FmcbZ/q0\n7IN3pjcRBRGUa8t5pt8z5rnXGXW86v0qywOXcyjlECC8odd9X8feyp4JHSZwOOUwJsXETI+Z9GjR\ngxa2LfDL8qOZTTOcbZw5mX4SZxtnPF096e/WH6hLE+VX51NSU4Knmyc2ljaMajuKs1lnG33/kVae\nRlJZEi1sW3A2+yyVukrzudKaUjZGb6yXXjIpJk5nnMbJ2oncqlxC80MZ2XYkAP3c+pFantrgV0BX\npnt2xe9CZ9JRqCk0G5KrSSxN5IVTL/Bp0KfMOTCnXmTUGCbFxFt+b/HsyWdZEbwCgMd7P06lvpLk\n8mQOJh+kSFPE2yPeZn6f+RTXFOOf7d+gHUVR2J+0H0uVJUllScSXxKMoCp8EfkK1oZqlg5dSpCnC\nO8ObL4K+YJnPMvyy/HjD9w0yKjI4knLE7MkG5wXTpVkXlg5eioeLB095PsWw1sMIzQ/FK92LtZFr\nCS8Ix8rCiqc9n6ZcW86lkkuAiGKPph41z9eV97n50ma6NOtCG8c2TOowic/GfYbBZGBT7CZsLGzY\nGb+zQbQflh9m3tNXcyHvAm/4vtHor6GOph7F3d6dEW1GsCN+R4No4U5wQ0FXFMUPuDpeeAD44/L3\nP4DZt3lc9Xhx0Iv8ee+fWFpYmstUKhUfjv6QRQMWsW76Oj4b9xlhBWF8cO4DqvRVJJQm1PNOdEYd\nr3i/worgFbx0+iU0Bg1bLm3BO9ObtIo0jqQcYUCrAVhaWOJo7YinqydHU4+y6OQiVoauJK8qj3Jt\nOQHZAbxz9h26uXTjreFvMbHDRDo6d2Rkm5E8P/B5DIqBs1lnOZF2grf83uJo6lHUOjUzu81kVNtR\nqPVqzmafrZ1bwgvC8c/x57HejzGnxxwe7Pkgm2I34Zflh6Io+Gb5klCaQM8WPfFK96JQU8iTfZ80\n39e8HvMo1BQy/9h8/HP8WXpmKd6Z3gxvM5xSbSlHU46yO3E32ZXZ9HXti0+mD652rjw/4HkCcgLw\nSvcityqXQa0GMctjFkfmHGGw+2AmdpiId6Y366PXk1SWhMag4aGeDzGxw0SSypJYHy3ygo/2fpRm\nNs0IKwgjqigKTzdPBrgNwKSY+D36d6oMVSw5tYStl7ZSY6yhv1t/PN08KaguwN3eHUdrRz4P+hxX\nO1da2bciqSyJse3Gclfnu4gqiuLrkK+xtrBmfp/5uNsLI/NTxE+klqfS0bkjXwR9waXiS6wIXkFy\nWTJfjPuCt4a/haXKEk9XT7q5dMNCZcGwNsMAGNt+LGPajQFgZJuRWFpY4u7gjru9O+EF4ehNevN7\ngL6ufQEY32E8OVU5JJclozfquZB3geSyZBRFMXvb7458F61Ry+mM0xhNRgJzAnnk8CN8G/otL55+\n0SzKkYWRFGmKWDpkKVYqKwCGtxkOwAC3ASgo5nSU1qjlvbPvMWbbGPYk7EFr1LI9fjtj2o2hk3Mn\nNsdu5njacXwzfc1eb0RBBC+feRlHa0dWjF+BUTGy8MRC4VVf/tVKekU6XwZ/yc74nah1alZHrMY3\nyxc3ezeC84Jxs3djZreZgDCgG6I34Onqyai2oxjXYRyudq6sjljNuexzpJanmsUsriSOhNIEnh/w\nPJYqS46kHsE705ug3CBeGvQSC/stpI1jG973f5+tcVt5ss+TrBi/gsjCSGbsm8E7Z99h2q5pvH/u\nfULzQxneZjitHVuzf/Z+BrYayIg2I1Dr1SzzWcaaiDVsubSFvq59mdhxIgDLA5ezL3EfO+J3oDFo\nmNRxEv45/vXSMqnlqSwasIi9s/byw5Qf6NmiJ/3d+uNs48yvd/+K3qTnp/CfzI7hrxd/ZcHxBTxx\n5Alii2Pxy/Ljo4CPePbks+xJ2MMrZ17hRNoJ3vZ7myJNEUG5QRRUFxBTHMO57HNM7zqdJ/o8QV5V\nnjl1eCdR3cyvLlQqVRfgsKIo/S4flymK0vzydxVQWnt8PYYNG6aEhNz4ZePf5ffo31kZuhIVKhQU\nrC2scbV3xQILtEYtxTXFzOsxj72Je3GwdqBaX82kjpPo0qwLG2I2sGTgEl4Y9AIAP0f+zOqI1XRp\n1oUMdUa9cM7ZxplN92yie4vugHgpZmNpg5O1E1N3TaVSV4nepGdAqwH8drf4FYWtpS1lNWU8cOAB\nSmpKcLd3R2PQoNarcbJ24ujco7Swa0GFroKHDj5ETlUOLe1aojFoaGnXks33bWbmvpm4O7iz/4H9\nWKiELTaYDNy9+24KNYW8PvR1fr74M1qjlhPzTrD41GKy1dmYFBP93Prxw5QfeMX7Feb1mMf4DuO5\nZ889Zm9w24xt9HPrZ77HC3kXePbks7w65FWe6fcMepMeawtrMtWZzN4/G51JRxvHNpycd5KXz7yM\nf7Y/BsXAs/2f5Yk+TzB552TaOrZl5eSVvHjqRYprxMvb4/OOcyr9FN+EfMM7I96hWFPMb1G/8caw\nN7CysGJF8Ao+H/c5/dz6MffAXFztXVnYbyGP93mcD/w/ML8YvbfrvSwdvJSHDz2MWi/u4bn+z7F0\nyFJAhP4dnDswsNVAAHbE7eDToE/5fNznmBQT7/u/z/sj3+eR3o8A8Jr3a5zKEB6vtYU1JsXE+cfP\nY2dlR15VHtN2T8PZ2hmjYjS/J3C3d0etV9PNpRtbZ2zlvr33kV2ZjaO1I1X6Kto6tuWhng/xY/iP\nuNq74mDlgFqnplJfid8jfizzWUZwXjD+j/njaO1IubaccdvHYWNhg6O1IyZMlGvL6d68O0llSVhb\nWKM36fn5rp9JLU/lywt1P/90sXXBydqJ7Mps3Ozd+HHKj/Rz60dJTQlLzywlsjASJ2snXGxdzCkO\no1IXKU7vMp3Xhr7GvIPzmNBhAl+O/5JJOyeZPeZVk1YxtfNU89yuCF5BmbYuxdnctjmVukosVBac\nefgM7559l+C8YCxUFrR3as+u+3dhZWHFL5G/8FPET7ww8AWWDFoCwPa47ZTWlDK8zXCOpx3nYPJB\nNAYN30z8huldppv7KNYUc/+++5ncaTI2ljbsTtjNU32f4s3hb7Izfid/xPxBhjoDAE9XT76f/D3T\n90zHxdYFR2tHyrRl2FracmLeCWwsbczt5lTmoDFo8GjuwfLA5exK2IWjtSPNbZuTXZnNxA4TCS8I\nN3vpjtaOONs4k1eVh6udK4/2frTRVI2tpS1bZ2zFw8WDo6lHuavzXdhb2TeodzOoVKpQRVGG3bDe\nrQr65eNSRVEazaOrVKpFwCKATp06DU1PT7+pG/g7KIrCHzF/UKGroKtLVxLLEinRlKCgYFJMjG0/\nlpndZnI6/TTncs7RxqENj/V5DFtLW9ZGrOXhXg/TzqkdIISyXFuOq70rqeWpBOQEYDQZ6eLShWGt\nh+Fg7dDoGGrbbmHbggWeC3Cxdal3vlxbzuGUw8QWx+Jg5UCPFj0Y136cuV8Q+UyvdC8u5F3A0sKS\nmd1mMrzNcMILwnGydqJHix712jyXfY7SmlLu97ifqMIoCjWFTOk0hZC8EHYn7sZSZcnTnk83uC5T\nncmZjDOU1pTy8uCX60VAIFJUjtaODe5RrVOTWp5KC9sWdGzWkfCCcPYl7qO5XXMe7/04bRzbsC5q\nHaPbjsbTzZNqfTXJZckYFSOD3AdRpCniz9g/eWHgCxgVI7sTdvNo70exUFlwIu0E07tMx9rCGrVO\nGDvhM0BZTRkX8i9ggQXjOozD1tKWIk0Rp9JPUVBdwJJBS7CysGr0uZRry1kftZ7FAxcD8PPFn3m2\n/7M0s2kGiJdovlm+lNaUUlJTQheXLjzR5wnz9bsSdhFXHIdKpWJMuzEUVhcSWRiJCROzPGYxpt0Y\nMtWZeKV7kaXOYnib4UzsMBEHawdOpp3kVMYpVIj7GOw+mEd7P8ql4kskliUyy2OWuZ+DyQdJLE2k\nWl9NjbGG6V2mM6bdGP6M/ZOSmhKGtR7GxI4T0Rl1HE45TPfm3SmpKeFMxhl0Jh3dm3fn8d6P11uf\nepOewJxA/LL80Bg0uDu480Qf4XGG5Ycxsu1IRrQZgaWFJVnqLJxtnHGxdcEr3YuE0gSGuA9hdLvR\n9eZTa9QSlBsk/r9CU0hqeSot7VoyocMEBrkPIqYohs2XNovoqu9889ozmAzElcTVcx6upkJXQWhe\nKBM6TGiwJvVGPdaW1hhMBjbGbOTuznfTqVknQOz/qKIovNK9mNJpCoPdB7Pl0hYuFl5EpVKhQsW0\nztOY0mnKNfs2KSaC84I5mXaSakM1Hi4eLOy3kJzKHAJyAujq0lVE8ipLjqYepZ9bPzyae7ApZhOV\n+kr6u/UnQ52Bg5UD49qPo5VDq2v29Ve404IeD0xSFCVXpVK1BXwURel1o3butIcukUgkTZGbFfS/\n+7PFg8CCy98XAAf+ZjsSiUQiuU3czM8WtwGBQC+VSpWlUqn+BawApqlUqkTgrsvHEolEIvkf0njC\n8QoURXnsGqem3uaxSCQSieQW+Ef8p6hEIpFIbowUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGXSCSS\nJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGX\nSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImki\nSEGXSCSSJoIUdIlEImkiSEGXSCSSJoIUdIlEImkiSEG/EpMRStOgquh/PZL/PnoNGA233o6mDHLC\nr30+PwYqcm+9n9uFpgxi9oFB2/Bc0mmxHu40igKFCZAbeef7ulk0Zf/rETTEZGxYZjT83xzr/4h/\njqDrqsHrI/j9Hvh5PJz4N5Rn3d4+Tn8C3w+Erz0gdOON62tK4dIhMJmEIMQeFN8b4+ibsGGG2Ly3\nilEPMfshareYl9vBurtgxxNi/AE/inu5mtCN4P9D3XFVEXzXF5JO1ZV5fw7r7wZdVePj3jgDTrx7\n/bEknIDI7XXHmjL4437IvHBz91I7x1VFcHiZuLfza0VZsjek+IjvkTtgpSfsehrCNtVvozwbNs+F\nH4eB9xfX789ogPSAmxtbLZkXwKATf+vvhtXDxThrKv5aO3eCS4fFHihOrl9eVQzRe8WYr4dec3vW\n+en/wNZHQFsJO56E9dMatuu/Er4fANUlf719TalYzzXltz7Wa1GUKIz1f4l/hqBXFcGmWeD/vTi2\nbw7Bv8Ifs8RkHV4G4VtuvZ9UP3D3BLdeNxb0wnj4bYpYaMG/wqmPYed8SPJqWDcnXNRJPwdZIQ3P\nG7SwcaZYvJcONzxfUw7BvwnhKE2DH4fArgWw519CkK7eeAYtHH4NipLqyqpL6vpO9obdC+u80soC\nyI+GhONCcE++D0deFwJcS36sKDu9HNT5oixmH1RkQ/zxunpJp8Coa9zbTPcXmygzuG4ctWNK8RV/\nigJH34BDr4q6IO491Q+Cfq5ry2QU474SkxFOfiCMTHGyuI+wTeJ7yO+izpFlYr0AnP0WmneG5p0g\n/lj9tjICxWe7weC74vqe+sXtsOFeMcaboSgR1t8Fwb9A5nnICoa+D4h5u5k2jr9X37A2hrYSKnJu\nbjy11Ap15DYwGSD5TN25gB9hZV/Y/QwE/njtNqqK4ZteEPZHXZnRIJ7hN73A96u6ck0pJJxs3Aky\naMWeSTgOq0cIxyk7tG7t1JJwQuyPkPX1y7PDYPO8hg5PZQHseU6MZ8N94PWBcBTLs2DnAiiIu/a9\n/VWMetj0APx+d8O1eof4Zwj68XcgLwoe+RMWHocFh8RfeZbwbELWw4ElcOiV63sGJqPwbK8UqrPf\nwd7nQV8DedHQYxoMXSBE+FqWVZ0nhE+rho4jwevDOg8w8WRdvVQ/8FkhBMTBFawdIWxjw/Yit0Ha\nWbFgdzxR3+MFOP+zELnY/RC4WvT/6DZ4ci9oSuDSQbFwDy+DsgyIPyoELHRDXRtnPhUeYNxR2P8C\nRO+BiMtGsFZU3XpCRgC0HQhVBULkQn4X0cX+xWDjCCZ9nTcbvffy9Zc3WWkalFw2LlkXhGD/MQsq\nC0VZ3BHxWZEtPOA9/4K9i4SQ7PmXMDIZ58U9GDQQsU0I0/k1gErcV63nf/g1WNVfGNZadi+EgB+g\nqhC2PSa8/NFLYMxLUJQgNmtJihhjXjQUxcOAh6DPLDH/WnVdWxnnxfOavUYcXy34V1Lr8Yf+Ub/c\noBVCdHUqq7Z+3BGR1rGwgpmrwMYJkk9fux8Qa/L8avD9sv54r6SmXESy3/UV81Cafv02QQj21x5i\nLSR61R9nRY4w5J3HQNeJcHbltdOSkdtAWy7WWS2BP4r1q6+GwJ/EMwz5XUTDWx+CUx+J55x2rs7J\nSPEBbQX0ninWy6AnwdoBIrcKZyF6r4hmssNAZQFBv4g9XEvEVrGPro6cIrdB1E4xnrIM6DFdOG8b\nZ4j9dfzthvdUltl4ugfEevL6sPF0Za3DoykT/f0X+GcI+j0r4Okj0Of+urJOo+ChjdDrPljsD6OW\niAdzvdA3arfwbGu9B3We2BgXt0PiCSFWHYZBvwfFIgn8UXh56YF1bZiMsOdZsSgXHIaH/gBrO2jR\nBbpNEoKuKOL87oXg8wXkhMHUD6Hf3LqFWIvRIIxKuyHwarSIDg6+UldHUcQCBPBfJUSq72zofR90\nnwqt+gjDEXdEGDbvz0UqAYRYgPCA4g4DCmx/DNS5wjM9t1IYt6xgISoLDsPsn2HhSWjWHo6/K4Qz\n5Hexie79GrpNFoaiLEN4sXYuQhx11ULAQQhT1gUhEqm+IqVh0IkxunQUdYJ/hepiIa5eHwoRri4S\nxsbCClr3gwvrxGbXlMBdHwtBiD8m8vDhf4KhBvYtFnOYFy025Pg3YM7PQqztm8O4ZcLoghD7Wvy+\nFp+dx0LPe4R3XDt+EJ5zh2Hg1kPMca0xuhpFEUIEwrDWhv4GLeyYLyK4yK31r6kVyswgMeaOI8Gh\nJXSdIJ7ZlU7JpcNCmGsF9PwasTZ1lWI9K0p9sTHqRb+Fl2DYM2Jsmx6oi6pqiT9e58Fnh4kIU1sB\nWx4EoxZa9RbXmozCiTAZYeZKuO8b8Ry8PmroWStKnbFPDxDPRVEg7E/oPA4e3ymMzYGXxLpqOwgG\nPiaeyzc9hKj+MFis39gDYOsCD26AF4Nh1o/C8EbtFqnL3QtFX4pRPPOqQjj8al0atjbSSfVteN+t\n+8MiX3jeD+atA6fW4rp+D4pnc2VkUhsRH1xad49Ru8Xe0NcIJ8r/+4b9KIq4r1a9Ycr74n6utYZu\nI7ck6CqVKk2lUkWpVKoIlUrVSC7hNuHoJjbX1fS+Dx7bBm36iUmzdoSLOy4L9dcNPZjaNMqF38WE\n+39f5xF4fy4+2w8D59ZCuMI2CVH6c44QkoI42Pao8Obu+xrce0OztmJx/OukCJvLMoQ3eGG9WGRP\nHYClETBkAQx9WmyG8M11Yzq/GsrSYcKbwjA8sFpY9VMfi/M54VCcBB2GiyhFWwHDFtZd33WC8Caj\n94jjiztF2sfBTWzq8iwhrpX5MO414eUMfQbu/UqM9eIO4ZW16S/ue9BjYhxDnoKKLLER382C12Jg\n4CMw/FkxvnV3AQpMeEtsqpxwSPEWhqDnPZDmLzZH20Ei1bRmlLhu3GtgYS0EXWUBNs4QtBac24l0\nV2mqMIxjXhZif2EdDH4SxiwVbQf8KNIxts5CYHLCRB41Yqtod9QS6DcPpn4Ec34Rot5uCKgsxdxY\n2YNtM7HBrOzF+DqNEoapdsPVVAij0Wn05XU2QwhUdYkwTDufqvPGi5OFgRz+rDAKFy8b0/1LhJNg\n20wIQC0mo1g/bQeCYhKC4TFFnPOYItZCSYo4VhRheCqyRRvVJcKgD3pczFXAj0JsNs+tMwKhG4W4\n3P+9mJ/5+0S4v/XhOi8y+Qxse0R471VFwkFxag1TPhBpEOe24jnVlAkvN2QD9H9IOC2teoqIJ2Iz\n/Dkbgn6tewmeGSwMqcdU0KkhN0JEnSXJMPBRMc9tBkDMXjH+x3eK9T7sX8JZm/OL6HvfIjGPve4F\nKxto1QssLMTa1FUK42dlK955WdrC+Ndh5GKI2gVrRgvno+hy5HZlCqu6RBjqXvdCu0Hg6gF2zcQc\nPX1ERGMuncTeqzVWF9aJ5xqxGc6tgnVTRTR5fg1svE+seRDrqSBOzGmKr4jM86Jg9Isw9lXhkHSd\nyJ3G6ja0MVlRlP/9z0JsHMWiiNkvRCHVTyzGJ3eLzV+YINIJrftDfpTwdkN+F5sjIxAK44SoNGsr\n2pv6oRA5zznCa9z2qCi3shdiOOiJur5bdhWf3aeJT/8fRO7PY4oQp1raDxXHfl+LDeL9qdiAPaaL\nRQbQcbhYBIE/ib7jDoOlDTy8SSzWZu3Exqil63iRi004JsLTRC/hYd33lfBiks8IA2NhLTbpmKVg\n1xxUKiF0p5eLcHfwk/Xnc+Tz4nPEIrC2B5cO4rj3DOGpR24TRmbgY3Dy3yJVkOIjnkHr/hB9WcRm\n/SDEMeR3Ycw85wiDlhMmBLO1Z51ot+gMB14UEYjnXCGUXSZAh6GirWHPiNQRwPQvhGFL9QOfL8HG\nAXrdA46u4vz4ZVesDQdoO0AIT6dR4n4ST4q5trIRdfrcL8ZVkQ1dxguxrZ3n3jPg7DfCwGsrxOaN\nPyY864zLEeHIF8QG9vtaRCjRu2HSeyIX7fe1cDKc2wixqSmH0S8J4ajIFpEW1Am775cw/XMh4+wq\ndAAAIABJREFU7LkRImKJ3AblmSIqGfWieB9x9A3xLEtSRHjf/S4hJJ3H1a3PDsOEUO1aIOZ56ALh\nVdq3EG2vGSVSAgsOQccRQpRrUysgBMrSRohmLXd9Ai27iVx+qq84/9g28fLYxhlmfifSKam+4hdN\nVnbQd5ZYcxPfgqNvwYPrheMAon4t/R4UL82DfxXpsCvpMkEYgG6TxfuPkPXCobG2g3u/hMHz4Zfx\nYt2DiN7jjwkjZd/icvRsEuvkSlr3rfs+5X1hUGL2iuvD/oReM8Qcn/pIGJzZa8VzO/OpiHTbDhD7\ntCRFGOv4y+mmAY+I/WFpJfbefwGVcgtvo1UqVRow7GYFfdiwYUpIyJ1z5Ek6LbwVEAsjZh/YOkHH\nUSKcz42El0Lgl4kiz+faQ3jQQWuFt9Pnfnhkc8N2NaXi5YtRJxZQiy7XHsPaccJg2DjD04fES7Ur\nyY2EXyaIcFJbLlICU94HC8u6OrpqWDtGhMRGrRC4h/8QnrSNk4gMaqkuga+6AYq4lzR/8YLz0a0i\nVG/RWXjpbj1h/t76Y8kOEy92UWDuuoYb6Gb5YbBYzBbWwtOxsIJ1U6BFV1gaLjbylRx9SxihqR+K\nezvwktjgTq2FWPa5HyytG+/LoBXPwdZZHFcVw5qRIhp6bEfDzVrLsbfFS9UJb4k14fUhTHoXJr0j\nzuuqRSrJ/weozBPRwzsZoh9FES+t0y+nVvo+INIRzm1FxFOWAa/HiZedv04Uhsu1O7wQIDzw1SOE\nQA99RniVQT/D6wnCaMfsh1cihQcKcOQNIVSWNuDkDppyEa14fyrGNHi+MJJGvYgouk+F3+8VaSm3\nHsKoPndGOA+1KIrYF1mhwivNCRMCHvybSBPN+UV40Ffz8zjh3T+2HdoPaXjeqBdG9885IopUWcDD\nf0KfmcL50GtEBNDjLpEevXI8V6+Jq1Hni4jxWpSkwE/DRVQx7tW68j3PCk/drrnYy3/MFI5Wdiig\nCI9+2aW6+b4ak0kYBV2lMJAX1sEzx8TaTD4jHEAbR3EPQb8Ip6A8S0RtICJDkxGcWomo/Eb3eZOo\nVKpQRVEaSVNchaIof/sPSAXCgFBg0Y3qDx06VLmjGA2K8p2nomycqShGo6Kk+CnK/hcVZfUoRfm6\np6IceVPUC92kKMffUxRtpThOC1CUj5opytnvbn0MRUmiX53m2nX2L1GUz9opSsyBa9fJvKAomx9S\nlIDViqIpu36fa8cpyorOimLQ1S8/+Iq4r4+bK0rU7savPbxMUT5yUZSStOv3cT32Pi/6ubhLHOu1\nirKii6J4r2i8fswBMab82L/f55UkeyvKroWKYtBfu070PjHGZG9Fyb+kKP9xV5Ss0Ib1dBpFCV6n\nKOd/qV9u0CuK3zeK8udcRdGUK8qlI+IZftRMUfYtqasXvkW0nXSmrmztWFGv9u+PWXVt1q7BKymI\nV5RDryrK5x0V5cxniqLOV5SPW4hnXFnUsH7qOXH+q+6K4v1F4/dfmKAoy1spysp+ihK+VZRpqxQl\nK+QaE6YoSmXhjdeeoog1v3ZsXbuKIvbXR80UZf10RSlOvnEbf4fiFLHWriQvRvS77XFx7j+txfGW\nhxXl93vFfroRCSfrntWuZxTFZLp+fW2VonzaRlFW9lcUfc3fv5/rAIQoN6HJt+qht1cUJVulUrkD\nXsDLiqL4XVVnEbAIoFOnTkPT02/ijfutUFUkvCYbh5u/RlFEuN1npgjN7jQmo/BebJ1uT3vpAeJ9\nQc/p9cu1lVCcKLxzG8fGrzXoRERxpUf3VynPFh5T1/F1ZZoy4d1eGXnUoijCq2ne8e/3+VcxGcVL\nz+5ThddkMjY+tr/aZkmqSNNdOb96jUjr1JIXLcJ9o06kmTqPFWH4XyH4NxEZ9pjW+Hldtejzeh5h\nZaF4p3Ct6Od2UlMhUn3th942L/WmidwhUnlt+tW9K+l5981frygiXevqIVJLN0P8MRGxtRv098Z8\nA27WQ78lQb+qw4+BSkVRvrlWnTuecpFIJJImyM0K+t/+lYtKpXJUqVTOtd+Bu4Hov9ueRCKRSG6N\nW/mVS2tgn0qEU1bAVkVRjl//EolEIpHcKf62oCuKkgIMvI1jkUgkEskt8M/4T1GJRCKR3BAp6BKJ\nRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp\n6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgk\nTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJEkIIukUgkTQQp6BKJRNJE+P9K\n0BVFIbOk+n89DDMXs8qo0Rtvur7OYMJgNAFQXKklIV+N/vLx/xW0BiNBKcWcjMmjokb/vx7O30Jr\nMFJWrTN/zyuvqXc+s6TafP5/QZXWQLnm/9bcZpVWm9fmP5Xo7HKMJsV8bDQpf2l//l/g/xtBr9Ia\nWLo9gvFfeeOXUPi/Hg5FlVrmrAlgrU+yuexARDYTv/amRm+kWmfgXGKR+VxGcTVTvvXhqd+DqdQa\nmLs2gLtX+jF4uReh6SX12q7RG3l/fxSpRVXmsnKNnujs8lsas6IoKIpy3To/nE7kkV/Ps+jPUH44\nlXhT7Z6KzWfOGn8+ORRjLqvRG/n6RByFau0tjbmW9OIqFm68QHHljdv78lg801b6oTOY+O5kAtNW\n+qI1iI1tMJq4/6dzTPzah7U+yewPzya/oua67aUXVxGXV3Fb7kNRFB76OZCBn5zknlV+FKiv3/et\nsC88C9+b2CvZZRomf+PDki1hZlEPTS/lu5PxN9XP0m3hfHU8DoC1Psn84pt8gyvq2BKUzn3fn60n\nxFdjMimEppdiuk6dM3H5zPzxHAciss1lnx6JZdpK3xuu+WuhKApfHLvE9ze5D24H/0hB1+iMfHww\nhsjMsgbnavTGRj2FV3dEcORiDjaWFhyLzmu03cySanObW4LSGfX5ab45EU+l1lCvXkphJQ//Esi6\nsykALNsZwYNrA9genMGBiGw+ORTDvLUB140GIjPLMJoUvGLzzWW7Q7NIL64mOLWEDf5pPLk+iEOR\nOaQWVfHIr4EUqrUEJBcze7U/6cXVvHNvb1zsrXl7TxQ6Q909bw3KYPP5DLZfyDCXrTqVwJw1/pRU\n3ZxnqSgKpy/ls+pUAmfixBhf3hbOwo0XrnudT3whgzo2Z3iXFmYxKKvW1RsfYN5cJ2LyeHZTCJGZ\nZewLzzaXH76Yy2rvZLYFZ/BXUJTGvapVpxI5E1fAqUv5jVxV//pj0bkUqrX4xBewLzwbdY2B2Bwh\nyHF5asqq9TjZWvHl8The3RHBy9vCr9vmm7susnDDhUaFQVEUdlzI4Hh0boN11hjhmWXE5lYwtbc7\ncXlqzlwqaLTeD6cTeXpDcIM+94dnM3j5SXq9f4wN/qmizYzSBoYhKKWYZTsjeX1npNmYXcm5xCIm\nf+NDRGYZQSnF6I0KJ2PzeWv3RWr0RpbtjOCHM0kk5KvN18TlVVB61fqLzi7nYGQOm8+nU6k18NOZ\nRNafS70pEdUZTPxwOpHY3Aou5V7bYO6PyGbe2gBe3haORmesd/3v51LJLKlmxbE4832BcLi2BGWQ\nWaIhubDyhmNpjG3Bmfzim8Jqn6T/WkT1jxD0Kq3BvEm1BiOL/gxhY0Aaq72TzHVKq3S8u/cig5af\n5K09F+tdX67R4x1XwLPjuzGltzvecQUNNv6BiGzuWeXHw78EUlat48/AdKp0Blb7JLHKK8Fc72JW\nGbN+8ic4tYSNAWkUV2rZH55NbG4F7+yN4pXtEWwJyiAso5TdoVnXvKdawxGbW0FOmYZKrYHzKcUA\nnEsq4mSMMDofHIjm0V8D0RpM7Fsylml9W5NUUMmTozqxeKIHn87uR1JBJStPJWAyKWh0RtZc9voD\nk4vN/Z1LLBKbLqZxY1Zcqa23qQ9G5vCvP0JYdSqRFzaHsSUoncMXc/FLLGqQSkktquL0pXyKK7XE\n5FQwrW9rpvVtTWJBJalFVdz1nS/LD9d536di8xnx+Wmis8v5zS+Fji3t+c/sfpRV60kpEptn+2Uh\nv9Lg3QwHI3MYtPwkYRml5JZrWOOTRGh6KQcjcy7PbfF1r4/LU5N7OcXy2dFLFFyOEMIyxPMKSRPR\n0M7Fo/F/Zwqv3dWT4NQSQtJKeP7PEB746RyrvZPMTkWl1kBYRik55TVcylU36O9Srpq390SxeHMY\nU77xqWdwveMKSLsiygLYFZKJvbUlqx4dRCtnWwKueMYF6hoyS6rRGUxs8E/FJ76QwJS68+oaPZ8c\niqF1Mzt6tHZi1alEglNLeOjnQL44GmeuV6U18ObuizjZWlFUqeVolDA2tQbHO66AhRsvkFpUxZ7Q\nLC6kleJsZ8WyaT3ZG57N/T+eI71YODNHLuYCwtGatyaADw/WrQOA388Jo1JRY+CbE/FU6YwUqLXk\nlN848jgSlUN+hXg+Qakl16wXmFyMjZUFR6NzeX5zqNlYnIzNY/nhWKZ+60tCfiWtm4n5VBSFTQFp\nZickKLWEi1llfH8q8aa99dicCj4+FEOv1s7oDCaORuXe1HW3yj9C0L8/ncjUb33Z6J/Kg2sDOZtY\nRM/WTpxNLDKL8kcHY9gdmkV3dyf2hmUTk1OXXvBNKMRgUpju2ZopfdzJq6jhV78UBnxykt/PpXI8\nOpdXtkfQ2dURrcHE1yfiictT8/q0nozv0YozcXVe0C++KVhbqlg6pTtZpRrW+iRjUmD7olGcfG0C\np5ZNJOLDaQzv3JITMXnklmt4/LfzRFwVTURmldPcwRqA03EFnEssRG9UaOFgzeHIHCKzypk7pD3V\nOiMGo8K250bRt10zvpo3gHfu7c079/YBYHJvd+YMbs9an2TmrA1gwYZgiiq1jO/hRlR2OeXVegrU\nNSQWCKE8ctXCqk1tjP7iDCM+O83Ub33ILdew40ImnVo64PfmZOysLfn3vmjsrC0wmhSCUupvng8P\nRPPcphA2nxciPLa7G+O6twLgjV2RFFXq2B2aRVm1DqNJhKFFlVoWbw4lJL2UBaO7MLqbKwAX0kpJ\nKlATkl5Khxb2RGWXk1Omuem1cuRiLjV6Ey9sDmXumgC+Oh7PvLUBWFqoGNfdjYCkIkwmhapreMO1\nz3pa39akF1fjYGOJu7Mt4RmlAISkl9LOxY72ze1p39yef43vSjM7K57ZcIETMfnojApfn4jnQIQw\nIMGpxRguRx21kU698UblYKGC7x8dREmVji+OXgIgv6KGZzeF8OymELOHXK0zcCgylxkD2uJsZ80Y\nD1cCU4QAqWv0zF0TwKyfznEoMofSaj2WFirWn0019/WbXwql1Xq+fnAgX8wZQLlGz/z1QRhMCmcT\nC83R0abAdDJKqvntqWF4tHJkpVci4788wxPrgjCaFD44EE23Vo6M7uaKd3wBIWklDO3cgpendOf5\nid1ILKjkrj7ujOza0ixk/klFVOmMnIjJM3ur+RU1HLqYw6PDO2JvbckfgWlYqMRYw9JL2RuWxcvb\nwvnNL6XB8zKZFNadTaW7uxMdW9oTlHJtQ30hrYSJPVuxfJYnfgmFbD6fDoBvfCHN7KwY3Kk5E3q2\nYunUHuRV1BCVXc6m8+lM69uaVs62XEgtYcWxOFaeSiAm58aps0qtgZe2htHc3potz43Eo5Uje8Ou\n7dzdTm5J0FUq1T0qlSpepVIlqVSqd27XoK5mci93Wjha8/GhWHLLNax9Ygjvz+iLRm8kILmIC2kl\nHIzM4YVJ3dnyr1E0s7PimxN1+btTsfm4OtowqGMLJvdyB+CLY3EYTQqfHonl9Z2RDOzgwv4XxzKg\ngwtbgjJQqeC+/m2Z1LMVKUVVZBRXU1Kl42RsHnMGd+DJUZ0B2BCQRlsXO/q3d6Fna2e6uzvhYGPF\n9H5tiMtTs2xHJAHJxfx7X5Q5z6coChezyri7b2u6uDpwMiaPkzH5uNhbs3BsV7N3sniiB3tfGMOh\nl8fRq40zAC0cbVg80QMnWyvz/X370EC+enAA6ho9xZVanp/QjZen9EBR4HxqMec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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N=100000\n", "\n", "# Try dataset from https://stats.stackexchange.com/questions/190148/autoencoder-pca-tensorflow?rq=1\n", "from sklearn.preprocessing import scale\n", "def data1(n_samples:int=2000, n_features:int=5):\n", " # n_samples, n_features = 2000, 5\n", " X = np.random.uniform(0, 1, (n_samples, n_features))\n", " X[:, 2] = X[:, 1]**3\n", " X[:, 3] = X[:, 1]*X[:, 2]\n", " X[:, 4] = X[:,1]**2 * X[:, 0]**3\n", " # auto-encoders need [0-1] range data\n", " # If PCA input is (mean=0,std=1) and AE is [0-1], MSE is incomparable\n", " # X = scale(X)\n", " return X\n", "\n", "X = data1(N,6)\n", "\n", "print('X',X[0:10,:])\n", "\n", "utils.myPlot(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## PCA / AE with successive dimensionality reductions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PCA\n", "n_components = 1\n", "err pca = 0.388522379104\n", "autoencoder\n" ] }, { "data": { "image/png": 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1hWIvReB2AEMdzGcqBUFW5JNoAMp+VucBxD9/bm2Af/EH92HDsAgWoc0poOtn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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.377331840682\n", "PCA\n", "n_components = 2\n", "err pca = 0.283154708483\n", "autoencoder\n" ] }, { "data": { "image/png": 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o3HVDKskWxPFaXvszmXtMlJ/lGnJergh4DgE51wnNqgjbjSonG2LcCaSSUFSJ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\nthgSw50gQYIEWwyJ4U6QIEGCLYb/Dyh2Myh8k14gAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.258869474298\n", "PCA\n", "n_components = 3\n", "err pca = 0.123147407619\n", "autoencoder\n" ] }, { "data": { "image/png": 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9PVw2F69Dbe42SJKEHn8PBiI6y0VP6AoxUx2jB5WMJ8YRSUfgc/hgtbAlkze1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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0532657582652\n", "PCA\n", "n_components = 4\n", "err pca = 0.0772074026131\n", "autoencoder\n" ] }, { "data": { "image/png": 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A9biFaAvyyf1/36PisUep+NtfMU5MGPGMG9fzPgmWi7DW9uwh0qYquhIMEyZg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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0514137957562\n", "PCA\n", "n_components = 5\n", "err pca = 0.00944732211112\n", "autoencoder\n" ] }, { "data": { "image/png": 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0SnJnS2IasqpAGpyLT5WesZS8yQcdpVIR9uwkZhpZfnXRYQmnMU5LYpYRjU7J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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0502219174216\n", "PCA\n", "n_components = 6\n", "err pca = 9.01991169833e-15\n", "Explained variance ratio (cumsum) [ 0.54268743 0.75709937 0.9540557 0.98194078 0.99972961 1. ]\n" ] }, { "data": { "image/png": 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vR2ezHdcx/xKUYxlWtgf6PCHEoPbPU4DfAy4gD3hACHHUV/HIkSNFXl7ecRcZ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "autoencoder\n" ] }, { "data": { "image/png": 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KXa2Ub29GDIsc2NhI1Z7B191x26Vn5HMP7Z488v49A0/tBzi8o4V9a3unuHc2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\nZoGBe0Zer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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0507770482159\n" ] } ], "source": [ "X_pca = []\n", "X_pca.append(None) # so that the index starts at 1\n", "N_epochs = 25\n", "for n_c_i in [x+1 for x in range(X.shape[1])]: # 'mle'\n", " print(\"PCA\")\n", " pca = PCA(n_components=n_c_i, random_state=888, svd_solver = 'full')\n", " X_pca.append(pca.fit_transform(X))\n", " # print(\"X_pca_0\",X_pca_0[0:10,:])\n", " # print(\"\")\n", " # print(\"Explained variance ratio (cumsum)\", np.cumsum(pca.explained_variance_ratio_))\n", " # print(\"\")\n", " print(\"n_components = \",n_c_i)\n", " utils.pca_err(X, X_pca[n_c_i])\n", " if n_c_i == X.shape[1]:\n", " print(\"Explained variance ratio (cumsum)\", np.cumsum(pca.explained_variance_ratio_))\n", " # plot\n", " utils.myPlot(X_pca[n_c_i])\n", " \n", " # train autoencoder\n", " print(\"autoencoder\")\n", " autoencoder, encoder = utils.buildNetwork(X.shape[1], encoding_dim_ae = n_c_i)\n", " utils.ae_fit_encode_plot_mse(X, autoencoder, encoder, N_epochs, verbose=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Try AE7, AE10, AE15, AE20, AE25" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "autoencoder\n", "n_components = 7\n" ] }, { "data": { "image/png": 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TL78aCL0P+OTRe9Gbogh4vZxz8+2sn/8qaq0Oh7kXlUZLdFIyushIWspC462L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\nKZsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0508857667045\n", "n_components = 10\n" ] }, { "data": { "image/png": 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ERMrK76TyxDeZOeNtdLosRDGAwfgOSYmL0GgS0WgSmTL5NdTqBNTqOFrbnqO8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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0463353120233\n", "n_components = 15\n" ] }, { "data": { "image/png": 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fW/9FTlMO/eLlXRk7auVsan/jflaVraLEXkJaZBoXp15MuCm8TZ1+nP0xH2d/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PcttpxcNBotf3zmX7TvqGbRh+/SsHEdxX0raa3aSo+hw9mxegXHXnwF2xb/SNDdSUm/SgSNlvF/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\nmqBraGhotBM0QdfQ0NBoJ/x/w8AHrGgKUB0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0414238863003\n", "n_components = 20\n" ] }, { "data": { "image/png": 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9/WSzWQqFAm63m3q9eaypv7+fnp4eOjo6CAaDxONxlpaWyGazVKtVfD4f27Zt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\nhsamuk18Zs1nuKP7Dm4/ejtrKtawuGwxv+/7PYl84pRxVDm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UAYqOvkiRIkXOeIqOvkiR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\nesMwjDjnf0MN2/IX5cj8AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0291842591833\n", "n_components = 25\n" ] }, { "data": { "image/png": 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Wvq133Wwa3sS3N32bRVWLqHPXYVbNmBQTGwY20B3vBsCsmrGb7KSKqSnneq1e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\npdrw3R+q8j71Q3Xt0WdU+xmtSrf2XKUDd7fqn1U3Q/F61Rdzl0PmYtj1Y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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "AE mse = 0.0323352726097\n" ] } ], "source": [ "print(\"autoencoder\")\n", "N_epochs = 25\n", "for n_c_i in [7,10,15,20,25]: # 'mle'\n", " print(\"n_components = \",n_c_i)\n", " autoencoder, encoder = utils.buildNetwork(X.shape[1], encoding_dim_ae = n_c_i)\n", " utils.ae_fit_encode_plot_mse(X, autoencoder, encoder, N_epochs, verbose=0)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }