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@katsugeneration
Last active August 27, 2017 12:49
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DNN Clasifier with spiral data
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{
"cells": [
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"\n",
"def show(X, y):\n",
" c = []\n",
" colors = [\n",
" \"#0877bd\",\n",
" \"#f59322\",\n",
" ]\n",
" for j in y:\n",
" c.append(colors[j])\n",
" plt.axes().set_aspect('1.0')\n",
" plt.scatter(X[:, 0], X[:, 1], c=c)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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PhPvTG78JjxFpSTRoUJ8Hjx6TnPyEpu/0ZeDAgQQGBv6XaH8/mqZRqVKl9J979erFrVu3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\nf3zcNPZfSSZy0m0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F7L02jKPLyZUnLwUKFHjuMaWU9OjRgxkzZlA6jxvZ3TWm747ljWre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L4bSuvSpkz7q4Q44ONmtMuswuc5ePgI1uBKKA7PCiYUBxeswZU5cOiw3eR279mLbZcS+P5sPCKC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\nKAloIYTwUP8Pv0ZXDocX7zkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x113770780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"\n",
"K = 2\n",
"N = 200\n",
"X = np.zeros((N * K, 2))\n",
"\n",
"for i in range(K):\n",
" ix = range(N * i, N * (i+1))\n",
" a = int(N/4)\n",
" r = np.concatenate((\n",
" np.linspace(0.0, 1.50, a),\n",
" np.linspace(1.50, 2.75, a),\n",
" np.linspace(2.75, 3.90, a),\n",
" np.linspace(3.90, 4.76, a)))\n",
" theta = 3 * (i + r)\n",
" X[ix] = np.c_[r * np.sin(theta), r * np.cos(theta)]\n",
"y = [0] * N + [1] * N\n",
"show(X, y)"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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NaceEMGM+uZEcOXORN29ei8cUQvD+++/TokULrhzdROK1/Qz99GPKly1DdHR0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\nPg3i+qeBTO3kybz585g+fbqtzXtuGPhmf4znd5C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nLpTgcLSNhqD6FUITVh59u8/AZERR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pWuXbvmKVZVMI4ePUpkZCQf9CpN5wevJvDTFx1UHP4LgxoF82ZH151eRITu75/k28MWziUlUzLI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\nUhR30wJ+ebMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115c0d9e8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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AVG77+E6bmDuYbp6jQoVuds5O+itZoKUnmM1m3u7YkcWLFqF18cSSkgSQPpvIH9J/P7YO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Af+V0QOY4XyaKzb/Pn+eE2llAo0fpsHjTUomAe8D0QAG4DOxphMP76mUkoFDPEMzimllHIYfRaH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\nSgNaKaUcSgNaKaUcSgNaKaUc6j8DZ0XeTrAlcQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115c0fd30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5)\n",
"show(X_train, y_train)\n",
"show(X_test, y_test)"
]
},
{
"cell_type": "code",
"execution_count": 292,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib.colors import LinearSegmentedColormap\n",
"\n",
"def set_sklearn_backgound(cls, x_r, y_r):\n",
" N = 100\n",
"\n",
" color_map = LinearSegmentedColormap.from_list(\"color_map\", [\n",
" (0.0, \"#0877bd\"),\n",
" (0.5, \"#ffffff\"),\n",
" (1.0, \"#f59322\"),])\n",
"\n",
" X, Y = np.meshgrid(np.linspace(*x_r, N), np.linspace(*y_r, N))\n",
" X = np.hstack(X)\n",
" Y = np.hstack(Y)\n",
"\n",
" Z = cls.predict_proba(np.dstack((X, Y)).reshape((-1, 2)))[:, 1].reshape(N, -1)\n",
" X = X.reshape((N, -1))\n",
" Y = Y.reshape((N, -1))\n",
"\n",
" plt.pcolor(X, Y, Z, cmap=color_map)"
]
},
{
"cell_type": "code",
"execution_count": 312,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.96\n"
]
},
{
"data": {
"image/png": 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BNbKnh/T7hCxjyImTYpHlHYsHi3x+pKmztI7FYyVk9RQxZC+SGjOXdmbl5mj7\n9jFmNfN2mZHzVl3hYaGiIsq2QafB5j4qd4IRxpueg7d+im8tF9aE6tuHGPtq4eZSOQgtqMo2I77c\nkSQlXnO8OBwaJbzlewKL3iBcvDayIDkz+p3iTcM95Q8En76EjBHn0mHI8WT1Og5FO/S3x7x1tTw7\np4zNpSH6tPXi1wWbS4N8fVs7BnXwYhiCB2dUcM/HuzhtYAZDu2Y2vlOHZpOelUubwSdQ8vVLqPld\nUNr1g+rd6J8+jJqSiafHyEPdxSMSJ1DlKEBfO5fA67/FqC5F7TcRVBfhZR9Z1gkv+whcHrJOvIrs\nvqMSwjg/P7eMkx/ZxModPnoVasxeW8O7Syq5clQ6gzpERnaqqnDLpCzaZmq8823FIe7xkc3gy/5A\nek4BwVdvIvjPswk8dRHs+YmiS+9DcXsb34FDszn0T2ETaYoXh1+SJUI2Hh2xn2W5w85bQ27LL9Fj\np2yJEpBiCULBIPTFv1C7Hof77HtQVA09NQd99tOIsq2onQZjbPsBY/0COp/xczq3K2BMFzPw5OIh\nbaLtnrpZA1hfOTPaFrt/iLaNWjPXA3KABljzVsSZtm/YFeCtbysorzMY1MHL794u5spR6fxzWh6K\nohDUBfm/3UhOqmbZraYqZKWo1AaxlLOySBkp+WY7wywhpWZ3M5dndZHWsUbQKVJOZkswTFAKSKk2\nJR05p4jhlirGyNvG3BeypwqhMIs31vLAxztZuKGG7BSNi0dm8asTc/HuzfNg8e6QmzYeIAA+8zth\nkUIkTxop3/Ylfc6JtvPTBnDDSV+xZO7nvPvFApKz8ulw3CTcyaks226eh901pqRzuMkdMnayqq3c\nIdkSr+TR4dsnAXXTOWwMtMP+Icq2ISqLcZ3866gbmWv4+ZCcjj79UYxtK0ht04UOl91N4fDTGtlb\n6/HC3DJuer2Y9CSVvDSNJ74oQ1Pg+rGZUfctj0vh2E5eXl5QxfXjMkipLxQwf4Of1cUh7jgjvaFD\nHFYsWF/D5IfX0TXPxc+Oz2BLeYh7/7eLhRvqeOeGjocseEjTNI47YRJr049pfGWHA8Yx0Ec6Wn2k\nV7DOurjbcHQRJu/M39N/wlmHoGORwAchYPOeIDe9XsxVo9P5+9Rckj0qizb6mfJEMY9+XsFzl5kv\n7y4bkc4v39jDqPu3M21YGiVVYf6zqJoR3VKZMvjIKaF117s76FfkYdavi/C6I8b4tP6pTHuuhNlr\na2mX5aamEegEAAAgAElEQVS0JqLLZ6VojezN4XDlsDTQhk3OCztvi4DetOrbdmWq7NqxnhqHMiDF\nruK2J7eIQNve6AteRe00GCUpHWGE0ec8j+L20mvEBMZ2tRq2K4e1jbY7VJvBJvqmL6JtY48pd4ha\nqd6SPFWOTadZP92u9of5y4clvLawggqfQftsF6lehfvqjTPA8C5J3Dg+k0dmVvDMJXmoqkooLPjw\n+1oKMlz0Lkrl8S+rSEvWuGFie26b0gl3koaSZMozSnqReU5yupvtggFx26WY52FjmdX7oWy3Kc/o\nkjyTJskobTPMUWXPPsea56p4iXlKSqTUqrvNcwhAVSRzXCAUZt66Gv5xQV7UOAOcPiCFtpka1720\nnR0VkT4kuxV+MSGXu87IQ1XjjKoN670vhHlNFBtPkbBF+jDzi5zcc0q0nTbSTG8K8Pw3ZnDL4q2m\ntFVSHV/uSJTgrVjsPDrk515V4sufcluWTgNOoIpDQ6RO/g1Vr/6GwFMXorbrj9izCVGzh16X/Al3\nyr4J3FuTsCGY+s/NrNjm49rjM+iY7eKBGRVkJKlRyWIv7bJcBMMw/O/bOa5zErN/9LGtXOf1G3pw\n2qB6Q+w+8iqCa6qCx6VQXmfVLgO6oNpv4NYUXr26gO4FHt79roYHZuwhzatw6yl5Nnt0OFxxDPRR\ngKttT7J+9m9Y/jHBnevR+o6h54RzSe/Qq9FtW5oZP1SzYEMdn/yyLeN6Rl7otcnUuPC5Xcxb72NM\n98iysCF4/Zsa+rT10rONl+U7Qozqkc4vTsxncJcj25XOpalMHZbHk3PKOGtQKt0L3IQNwd8+raAm\nIHjz2nxOHxAZufcvyqG8zuCJL8u4eWKuJZl8IhEu205oyw8oSeloXY61Fj1wsCUhz5KqgKpi8cO3\nw7a6ih6/DbHTEjvPDXO5nHPDLnimoX61FrayhlTlIb0+VSRJhXQ454boclnWuHyoKWkAdKhaGG2H\nN86Kto3StdG2qJNkDblKiOypEetBIATz1tXSIdsVNc4Ak/un0jXPxdSndnL9uEw6ZLt4c3E1izYG\n+ODXPTmxX6YlN4YiV0FJzbccQvbEUAtMyUErGhZtbxfmNt9tMr0P1u4yvTCKq63yTJUUeCBPz+W0\nktkpcSqaA8e27xNtD+nf39zP1rmWY4Sl3CX3XQMT75zJkHu3clznJLaV62wt10n1KFHjvJfxvZJ5\nZm4V5T5Bfrpmm48EsAbAyGlXkSrASJ44xk5TktEl6WOUJHcAuEbKLw3N/B+LNpZR/N+/U7nkE/NY\n6XkknfUntPaRcxEb8JXoWOQOWS61ST0a0Pf/9zl+0A4HlaxkjfK6sCW606UpTB2USlAXPDevil+/\ntQehaHx4c71xPgopyklh4SOTefjqoXQozGLy0Lb8YWpXaoOCn3ZbS2N9s8lPZrKakC8L93z+byqX\nzsA16Sa8v/4Qz5XPQGZbfG/dgfDXNL6DoxzHQDscVM4blkldUHD7u6XR2pCLN/l5YX41l47KZsdj\nx1Dzr4F88bueTOh7dBrnvaQnu/n55F689ItjeOzy3tx8emcKM11c+mIJizb6Ka0N8+zcKp6YXcVV\nx2fjTjB5QxgGZQveRRt8Bq7BU1C8qagF3fCc+UcI+dBXft74To5yElTiUFAVxVKwVJ7Cx31bjb38\nEDuFar63RuKkDo0t8LoX+VwlSy/bCtLMhOrDOpjSwIWDzVwTnWq/teyr2bKGlBpzW1mA+z/ZxSfL\nq1EUmDIog9smF1CY4UJRNboUJPOPi9vxq1e38853tRSka6zbFWJQxxT+el5nFG9q9N25RcpIkXJm\nZHYyz0deX0vf1aKh0fYej7ne/E1mHpCl200pQ/bWkAMsqgLWiiaBUHzZQL4X5eAEufqMHMSxqK0p\nT5zQ7XjLvvoM7BdthzfPjrb3ygxpwAd3Ci56eBETHon8BkWBC0cVcNfUdih7j18vM/lDBm99U8bs\nNbWkeFTOHZrJ2B5Jpg+1ndxhk+bV2GWT9hQ4rrf52/XjItfE76vj5boK3G2t7zqUtFyU9AKUml14\nNBVDPkYCBbA0peisIeJ7elgKWB+A0UhIA+3QdIzy7eg/zET3V+Iq6o277wTwJje+YSuwszLE+Ac2\nENQFFx+XRtiA176pYMbKaubc3o3c+n8WVx2fy7jeGbyxqJzyWp27emZyxqAs3C5nQtcYAztnsfz/\nJvH16j3s2l3KkC5pdClItv7DBCp9YSY/8hNLt/gY2slLeZ3BC/PKuWF8Ng+cW3hQAl28Scmk5BXh\n37gYrd/E6HKjdCuispjQ5uXUzXwS+p+Mmt+lgT0dvTgG+jBGXz6d4KcPgScFJT2f4JIPUOe/QfJV\nj6Gl5za+gxbmic93U+M3WHxHe4qyIrfWz8dmMPRv23h2Thm3n2aGjXcr8HLnGfWfVXe83TnYoKkK\nY/vlI3z2/9Ae+GQX60r8zL21HUM6ehFC8OScKm77bylTBqZzfM/WT8+qKAp9T7uSxS/dSygpA63f\niYjKEvTZz0RSlApB+IeZsOhtPKf+BtfAQxfJmqg4BvowxajeQ3D6w2j9J+Ga+CsUtxdj908E3/wd\nldMfJ+e8uw5KP4QQLN5Yy6INtbzzbTkn902OGmeAznluTu6Xwpera7jdef4OGm9/W8Elw9MZ0jHi\n/aIoCjeMy+Bfcyp5Z0nVQTHQAN1PuoCQr4aVHz1PcMm7kYXuJDzTHkLtMAARDqHP/CfBz/4PrdtI\nSD1yokFbgoQ00C5NrdemTO3GVo+2uJrFz+Uaq2s1N0rQPrez/W9obcJrZoOi4jrx+mgmMTW/K65h\n5+Gb+zxZLgPV7aV/G1PznNrfDJnuq5ilj/RNX1r23VTd2Rc0uPjpjUxfUY3XpRDQBcWVIS5aXcfE\nPmYASVltmGSv2zpSbkpSIxut2U5nBli42dSal2wz3b3W7THdyOTotvI6U3uV84E3VLHdDvkelfXs\n7ZVm3mdZ81610+rFMFR6RzCp1/nRdhvJXTC8ZV60bexaEW2LKvO3ikAF/pAgO8U6wlYUhVSvyoIN\nPk56eDPpSSoXHJfJ+UMzLc+UkKIPLfmupVJaxm6zijgAqlnqbHQf0yWy6thOcOwf8N92Mw+//hkL\nHv4ZrgnXR6v3KJob1wnXEl4xHdbNRR18pnmMBNKj7ZDvC5eNm24otn5fM3BEv8OVQB14ksFjHQkp\n6bkQ1hEhm/p4LcifPyhmzpoa/nNVAbsf7szaezoyrkcy054tYU9N5CH/8Ptavlrn59yhzsjoYHJC\n30xe/7aGKp9pHD76voZVxUE2lwZpl6ngD+pc/eJ2rntpO6KVjWFSSirpRZEK4UpyTPSqJwU0t7WY\ngQOQoCNoh8ZROwyAef/GWD8frcdoIPLGPbx8Ot623VGTWzezW9gQvDSvlOvHZTB1cGQE3D7bxXOX\nFdDtzs2MvH8b2SkaK3cEOXNwJtOGOwb6YHLHmR0Y/9cKRvx9G9OGpVFWa/Di/Cry0jTm/64dbTIi\nj/6ri6q57j+7uXRUNuN6ta7s4c3MI7VtV3zL/ofaY3Q0u6L+9SsQ8hP6cT6KrxrX4Cmo6fmN7O3o\nICENtEsFt6ZgCHOAn+SSEpFIkXL20ofZbiipUVOiBA9l9GCsW53YsxF92ccY1XtQs9sT+uAvGINO\nR8luh7FmNsb2lQy88THa5EYkhpN65ES3HVNgTlf1H0wfVGPPGusx5IrbNu50voBOpc+gb5EHmbw0\njcIMjaxUN4M7p/Gns7M5bWB2xB3NptSUmiVJGdJ0Xm1n1kPc6eoYbc/fZCbmX7p9q+X4G0rjSxmV\nPtNtTq7qbhdJGnstG8oDHu2vdK3qpLmpXFatSip/JMsgABvLTCnkB0n+GNOlXbR92pBfRNuuLWby\nqvC2r82+7llD30yYc38R9762mBcWlJPiUdFUhWvHZESNM8BFx6Xx10/K+ej7asb1rr8+0u+zyB1y\nEiW/mTMarImfdM2UO04dcHm0XXJMAV1u+RP/vPUqQq/8ErXnaMLrFiCKV0N6PsKTTHjxe+jffUDq\nRQ+jFlgTMh1KyaMpLnd2bnZ6eP/7nZAG2iE++g8zCH78AKRkoeZ1wqjeHXkbvupzCNSS1KEvOVc8\nTJtB4xrf2QGS6lXpXuDhf8vruHCYOVpfujXA9oowD0zryNRhBQ3swaG16d0+k5duMH2r86+dQ7wQ\nAlWB1Tv8/Om9nXQr8HLOkHTSklonKnHgmInc8vibPPuPh6j65i1EoA5t4Gm4Jt2EomoIfzXB12/B\n9+mjJF3+ZKv04XDCMdCHCcJfTXD6o6j9TsR9yi0omgtRV0HwjVtQPSl0vfGZg9ofRVG4bXIB1/17\nG1e/vIsLhqaxuVTn/s/K6dM2idMHZjW+E4eDyuTBebw4v4yrRmdEcnYA73xXy6ZSnc2lOht3B9ha\nrnP3Bxof/rIzx7RPamSP+0fvY0cx6FdPULzgI9a+8mdcY6+Oyh1KUjquERcS+vAvGFW7UDOO7n/y\nCWmgk10aKW7NIl/IyHll5WQ1clve1m4/hxPhdQtAD+A+4bpovUAlJQvXyIsJffhXMkJleLMj0YGy\nN8A5A8wbPLzy5Wjb2GWWqbJ4aoA1p7OwL590ycgcgrrgb//bxRvf1qAqcNqgbB67rBvuJA+K1/oy\nSEmT8jPLiYw6jI62q7LNitGz1pleA99uNaWMnyQZY2e1VSaolpIaydJCU6SMcANT0aZ47FimwdKp\nCofjSyqxpdgs8ket+btk6WOpFJU4qaeZc3rUEDMJU3j9p+ZOpQRMd1/blvG/eYfBf93K5P4p7KwK\n8/kaH1nJKvNuLaJLvofNpSGmPVfCFc9vZfFdPayTeblyuG7Nly3LYrJ3SXjte9H2VcN+GW1vLvez\nZI2btYoKLqtMhifi4aOGQw1KlYmG3b0U3n8njsQ00A5xCAcBJfLGW8Yb0Q2NkH/fbVoAIQQfLavk\nnW8rqA2EOaF3GpePziEjOTLiuer4XC4bU8C2siAZKRo5mWmN7DHxMQJ1EPKhpOYcstJSrUG3tpnM\nv3cMj3+6ka9WlaLUG5SXriygS37ESHbKdXPfWbmc9ngxizf5GNa59aJSuw4ZAwjC372Pa8SFABh6\nEH3ui5CURmjV57j7noia067hHR3BOAb6MEHtFBlZhpd+iOu4iI+sEAbhpR+gZbUlKa99Q5vvF0II\nrn95Ky9/XcbgDh5yUjX+8G4xL8wtY8Yt3chPj9w+Lk2hc/7hX9XZqC6lZvr/EVw7D4SBmtOe1BOu\nwttvwqHuWovRLieJ+y6OpD+dsXgjZz6ymm751kjOLnmR61pas/+VQJpCdpsOjDz7ahb89zmMLd9D\nbkeM5Z9A0AcZBYQWvU1o7kt4Jt6IZ+jUVu1LotKqBlpRlN8DU4HegA+YD/xOCPFjg50SQdwigNtt\n3jiqlOBbnuoEdPkNublOisd8yRErcTRF8mgopW5rEy/Ps5rTDtexZ6F/+TTGth9QC7pjbFiIUfIj\n7S76Cz0LzBd1k3qZnhuubXOi7XDJ99G2qN1pHjAYk/axPtnOF6uqefnrMp68KI/LR0bkih9Lgkx4\nZAd//2Q3D19YXx3bZWqVilcqOZVtza+gFR1ntrudEm3PKzGnuF/M3RJty54MO6pMDwLZIyNWJrC8\nPbdJeBXv2go9QMUrN2MEanFNuB4lPZ/wDzOofvce0Ny4ex2/70b12/kXvUPgh1mIYB3uToNIHnUR\nWp7pmWIJetLlabDVAFplGLNdI0kfuyTPj83lpsywWqrEft7AS6LtNKnsF0BYKls2uLeOx7WGNxfX\ncPspphvkm4trcGsKx3ZJi2Rjiv5Y+Rxak0lZAlokyczYuTTa1le9GW1fPvRcAC479v+4orAra2a9\nTcXK6RiGgfuCB9E6D0GEAuhzniU483G8XY9FzTY9eRLRo8Ou/F44gZMlHQ/8E1hcf6z7gBmKovQR\nQvga3NJhH7wTf0FSm674lnxIeMcqkot6kHfG/5HafWjjG+8H739XQfd8N5eNMI1/z0IPl45I560l\n5aaBPgIIrJqDUboFz1XPouZHAirUnmMIvXkbdfNeITOOgRZGmOo370Tf8j1q73GoqTmE1swmuHoO\nrk6DEHUVaNntSBp2Nq72/fbZ/lCTn+HlhlO68NePf2J7hc6Y7sl8vd7Hi/OruWFCHgUZ7n0McUuj\nKArdjp9Ct+On8MbPxiH6nYDWeUjkO7cX1wnXEV71OcEVM9DGXtOqfUlEWtVACyEmy58VRbkC2AUc\nC8yLt42DPYqikjTkDJKGnAFAfpqnkS0OjKAuSPYo++iwyW6F0AFUiUhEQjvWoOR0jBpniBgPtddY\n9BmPIYSBolgDb0PrF6JvXIz7vL+jdY1UbNFzOqJPf4jwni2oHQYQ2v4DwZd+SfLEG9HSclCS0nB1\nHoSiJoa6eO9FfclN9/LEJ+t54etqCjPd3H1WW35z8sH3ngjWVaHFeG0oLg9Kau5Rm9z/YN8lWUQ8\nu8saWkmEahCBSkvuhmRpGu1KMV9c6Eb8qWC615Q4Ur1Wn06PyzQ4WoIlOY8lVo5JlqSbwnTTQB/b\n3vSYOK5AmuYvXRxtG1WmJ4SQZQ3DWqFjrwZwcv80Xplfxuy1Pk7oFTnnpbVhXv2mhkkDskGrT8Qj\neWvIsobWfjQyrr7nRdvv/GB6aMz6sTjaXrvb9NCQAznsPDL2p1ySEifBgZaWjajZjQj6UDzm/SXK\ntqKkZOFx7+sX7Nv4LUpOh6hxFnoQfc4zqL1PwH3GHRG/XiNM6KO/4Zv5ePS8KhkFpJ19F+7YUbVc\nFdqI73UiSzqyx8ruGvMabq805aDzBlqvQa+ekmeN6kYFbrtuEL+Zspy6YJgUj4biMyUKi3Qh5Yxm\nn0AeycND8gIyqs3c22xfFG12yu4WbU/pF6m4vnjwcFav/gJx7NSo2114xxrEno14B03EwPwnmYge\nHXZ54w9EjjlouTiUyDDsMWCeEGJVY+s7HHqmDMpkXK9UznqqmCv+XcIt7+xh6L3b8IcEd0xp+ZeS\nh5KkAZNADxGa/jCirjLyAnbtV4SXfUTKkPhp+BTNDSF/NKm9sX0l+KpwjbzI9OtVNVwjLwJh4D7r\nLjyXPwXpBVS/diu1M5+gbvYL6CXr4+7/YKKqCmlJLttiGBB5adyaOTsuuP4WjJL1hF77Nfqyjwh+\neC+hV28CoHrWM9Q9fTn6xsWN7OXI4mAmS3oS6AtMO4jHdDgAXJrCe7/swl1ntmHtrjAzV/uZMiSL\nr+7oSbfCQ1MUoLXQsgrJOucPGOu+JvDEeQQeO5PQ+3/G2+VY0k+4Iu423n4nIKp3E178btMMlzcN\ntU1PPGfdBSE/gaX/w7/kfaqevYa6z//V6gmL9pdNewJc/uwm8m9aTd5Nq7n02a2s39XyiY36DR3J\noF8+TprXhf7ZYxirv0TtNAj3tIdwX/AASkYh/rfvJLx7Y4sfO1E5KBKHoiiPA5OB44UQxY2tf/Ot\nd5CZYU32c+G5Z3HhuZFKwi5pSt023Xz7LFfvlp3+S2KCGVIlmUCugC17T1imwa3rbbTPsVUl8gJK\nlG1F8XhQs9tFdeA0qe9dckwjObar+Rbf2GZWizbKN0Tbwm/msCAkvaOtn54KIdheESLZDTmpkVsj\nya3ym5MLIpqkJrnSuU1/bCXdHE3LnhqypAHw8nfm1HnGj6bE8aMka1T45EAT88Tvj+YtX0O7wCW5\nnTFkIjm9hlHzw2wMfw0pXQaR1LGfvS90j0EYo8+n8ounCC//BFKyQFHRF7xmkTj0Ba9BcgZqfRVr\nJS0HJbMNao9RuMZdS3jxf/HPfgZPp0F4ekTyj9h5oIRtUlrK0od83qpjSnddONhM2zq4p3kv6XLZ\nKSn/RnHxdibcvx6XKrjt5CxUReGFr6s48cGNfP37brTPqZchZQ+PsPm8KZKUJio2m79j0+xo++wR\nQ6LtbyedBJNO4oMHfsOa75fgPufeaGCW2v4YAk9firHkfbSTbzb7m0AeHfqqzwmv+sJyzxyIft7q\nBrreOJ8JjBNCbGlsfYBH/nI7Qwb2tTxhinb4+9k2FX3tVwRmPYWoKqEO0Aq7k3bab3G369Nqx/xg\naSV/eq+YdSWRh2ti3zQeubAt3QoO7UjZCPqoXfAOtT98CWEdT/fhpIy6AC2tdSrGaKlZZA4/K27O\ninjkn/YrUnuNpHrpZ4QDdSgDJ1H7/QyCu9ajtuuPsXU5oqIY9xm/R6mPmDMqihGVO1FyO6JoLrTj\nzie86gv8yz+LGuhE4V+fl1AXCLP0j+2jSZauHJ3OoHu28vgXpfz93DaN7GH/2L1lPWrnIVHjDJEX\nhmqnQei7N5J49csjuPqeGPmTbqDwzh+pfeFn+7e/lupYPBRFeRK4EJgC1CqKsrdSaaUQonVC3w5z\nwluXE3jvHtRuw3Gd+lsI+dEXvErlq7eQ/bMXIa3ltd/PV1Vz0dObmdQnmb+cUUhpbZiHZlZw6iMb\n+fauXmQmH5rHQYQC7Pn3zYSK16H2GoviTsK39GMCq2eTfdVTh6SsVyyKopDa4zhSexwXHfX6R0yl\ncv47hEo3o6ZkEKrYgbFzHUpeZ0RVCfqXz0BqNlqfCdF9KJkFCF91Q4c6JMz7sYpJfZMtGfByUzVO\nG5DCvHW1DWx5YGQVFFG2+UeEENHRqBACsfNHtDbdW+24iUZrj6B/TsRrY3bM8iuBl/dZux7h24Oo\n2Wld5jJH0ErAnKqrKeZUvYsUEipP82LTOpZIn4urzLZHk2WGQ+PdEVr0Jkp+F9xT/xx90aR2HEjg\nqYsILv2I7B5mPoM+BWb+3gF55j70JSujbVG7S/pCkjWkHBsPfrqLYZ28vPOzNtGXRON7JTPgnq28\ntrCS60+sd32Sq6BIlU/UfNMbQetuela+tcKUMcAqa6wpMR/ushhZQxhhAj8uoHb+W+jbVuO59HHU\not4AuEZdSuDFa6md/xppk27c5zrJXjl2eVpS3GZb9vBJ85iPQ5Lb+npGk0ZEslbsD8nSQn07Zyg1\nfQZF190y/UV2ffEy4W/fjnzv8uC+6LGot4ioKcXY9B3Joy9E0xTCFTupnf0SwXULQVXx9B5L8pjL\nUFOzrJ4CIRuvAcmLI9bLRf7oGto72u7fdZL5heSFkZG6kOLKfafoOyrCkXD/aIVwaceWnCSm54fw\nm85bYo+UnnT9J9H26fX/tPKvv57fXnEu+udP4BpxEYgw+vz/IEq3kHnmrQSl6xFb/SYRaGqK4sZo\nbT9op2JLMxG7N6L2PiFqnAEUbxpq+/6t9rZ/6RZfRF+UbvpOuW4Gd/SydHNdA1u2PCIUoPy12wlt\n/A7cySgdjokaZwAlIx+tz/iI8Zp040Ht2/6gKAoFJ15B7ujz8Bevp66mip1v3IX+yQOIQWdAOEh4\nyfuo3lRShp5JuGo3Zc/dgCEEWv9JEA4RWDGD0IZvybjqSdSk1i3EEMuFY9py+eMreGlBFZcOT0dR\nIpGGn6/x8dRlrZcjY/jYE+l7wS2s/u8/CCypT7jk8pJ1xm/xdh5I0H8QXgwlAInhLe8QRUnPQ8QY\nYmGEEbs3ovUc2SrHLMxwsabYOssIhAQb94QY2/vgVtyuXfAWoS0rcJ9/P+HvP0FU79p3JT1o+Qd2\nOKAlpZLaZSBKKEz7656g9LOn8c16HBSFpN5jyDz5ekjLpnr64xh6EO/VL6CkRUL2tSFnEnzuKnzz\n3yBl9EUo3oNT8BXg3OFtmLW8lBte28G9n1SgKrC1XOf8YZlcPKJ1U8p2nXgx7Ueexu5VC1FQKM49\nptUrBSUajoFOMFyDzyT40b3oX7+MNvSciAY953lE1W5Shp7RKse8YkwOd72/kzE9krloWBqVfoPf\nv1tKWa3BpaMPrs7rXz4Ttc94tC5DwVdF6KN7Ca+fj9Z9FADGrg2E18wmefh5jewpcfEW9aToyofx\nBSL/FPe+CNMNQeCnxWi9xkaNM4CxZRloLgLzXyWw8A3cvceSevJNqGmtn3NbVRWevq4fl41rx0cL\nN2MIOH1QFmO6uQ9Kpj9PWhbtjovkbSnZkXgafWuTkAZa+MoQtSVWLUt2W3FJWqjfrOIsRz31yjcj\nleTkOmB1u5OT8JTW2pXSil/iJhZrVfHGdadY17rwrg0Y21ei5rRHn/cS+ryXAFDcSeSf83syOvam\nTbqpxQ9pb44mjOLvzHalVAZKjhiUi3JKblW/PDGXFdt8XP/qbn7z1h6CYYFLVXj6io70bJcZXU/x\nmO6NapYUMdjJrODyVbE5sp31ozXPtOxOF6s7R/seqENNjRgntfc41DVfEvrvH9GL+oInGbF5KVpB\nV1JHTUNVFNwuq5FIkSL+spLN27tQCotvl2meww5ZSXGX56Zaw+hl3VrWcWU3Njk3tRzNJ1f1lpeX\n1lofv6qATrknCd1vGiJ9xXT06Y+g9pmA1ncComIHoQWvUf3arWRc/VQ0ZDwkJw1r4N5bsq0q2vZK\nuvz1I4dH20UdzXcFIlCFAhw/rAOju0upboNWYym71tklVVKk+09+N2LsMINPRg0fE23Lec0hkkN6\nL76gHE3avOfucCIhDfTRSGjFDAIfPwCpOaj5XaCmDIRB9rhLyBx5DlorTu1cmsILV3Xgpol5zFlb\nS1qSiymDs6LpRA8m7k6DCK3+EjHyYhRvCu6z7kb/9h3Cs59Bze9M8qQbSR082RKOfSSRPuAkSqc/\nSXjTEtROQ9Dnv4raayyeKXdG11Hb9ib4n18RXLcQb68xDezN4XDHMdAJgPDXEPjssUg5q1NvNWuz\nvXErtavmkjPhioPSj4EdkhnYIfmQJvJJGXMJFS9cT/Dl69GOOQURqCX8/ceouR3JvPJJFE8KyhFQ\nIceOzBFTqV27AP+bt0F+F6jYgXb8lZZ11Hb9IDmT2rf/gL9dX5KPv4ykQ+w/vb4kQLXfoE+RlyRX\n610fIQRlC96l4qs3Mcq2o+Z2wDX0HLSBpx1RxRX2kpgGum4PoiZ53yQ+e5GSKAmpUrQqTec1KRpq\nQKvBRDMAACAASURBVJHVb7K0TkosU2VOm2TpQ45EDIRadzoV3rAQQn7c46611mYbeTHB9+/GVV2C\nJyeS17dDljkNH9xOkjjWrou25Xy8wlKaKH5/Y7O0oUgv4ORcz6lmpjG1zaBoe1eq6WY3Y6kpr6ze\nZfWTLZPOu12UoJrXiYwrHsc350VC8/+D4vLg7XMC6eOvQk2KvBzzSnJDRkwirLYZ5vnplW9OyYfI\nyaQ6mu3+Usi6UWGGEIvaTZb9WiIv5QCqVCmismPbaFtPM7PiLZO002+3mhLDsu1WmWBDqQ9IpuPN\nT7B+4UyqVs2lqmwrRukWS2CGqC0HfzVqr3EYdeXUvPF7OPcePL3rU6JKbmdyBXOwupUulvrydmpJ\ntP3bsWeax5KSHYmguf5eSWPV9jp+9sJ6lmyMXOu8NI07Ty/gunH1Grqdy530rMrnPbx5drR9Ug/J\n9Q/4ZksVa997gh2fPIfaZwKuIVMxtnxPcPojeGrL8Yy59JAmUbLLE30gZiIxDfTRhl5/48aWs6qf\nxhuhIEcSYV8VtYv+R2jbStSUTNzHnIpLipJ0FXQl/by/WLZpKInPkYaqucgcMIHMARPY4U2lfPE7\nqG16onYfATWlhKY/EvGlPvkmSEon9PYd1M1+DnevMQd1FFlRpzP5wZXkpaq8cU0hhRka/15Qzc1v\nFJOdonHesMzGd9IMgtXl/PTZS2ijLsG9d1Yx5ExCs58huPB13EOngufgebgcDBwDnQConYeAohJe\n8i6ukRcD9eWsvvsAd3ZbvPlHTmL8UNkOtj97I+GactR2/RDb1uBb/CHJJ11P8ogLDnX3Eo7CyTdQ\nV7KFwLt/BHcShPzgiWjzSnImQg+iZBUR3vgtvjkvknTsFNSMvMZ33AK8Pn835bU6X9/akaKsiCk5\nrksSOyt1Hp25p8UNdMXGHxDhENqAUy3LtWNOJbzoTcLFa6HTEJutD08S0kALXymi1m3xOhCS14Fl\nSi55dBj+cnOdkDm9jv2fOqjILEe0pcKUOHZI07/SWnM6ViNHGEozxthBnTy9svPoiBehqGYW4h1x\nPoGvXsDY9gNKYQ+MnxYhdv1Ez6vuIyvVnLbLCZKyhRmZFarebu5Q9tyw5PC1qeMVK3FopgeDJdez\n7LnR0awwMn21WdH5h2Lz2PI5hEikXdn//oEhFLzXvYSSUYgQBvrsZ/HN+heeXmPRsk2ZQPakSfaY\nfcxJNiWubnnWl4WjOpuuZ6f2Nl0Ee3lNz4Rw8YxoO7RRSiZVa07zxT5lwGwCI+QIV8nLRZaDhuT2\njLaHDjSr3yzvbA3bn77G7OM3UfkhlaQb/kntxu/ZNec1Kld+jeeq51AzCxFVuwm+8VtE+XbIbIN/\n4Zv4F7xO2tl34al/eRiKKQkm/yrZo2T+JtMbSr7Hzups1mMUVWYqHSNQxaqdW+nb1hs1znuZ2DeF\n379XGvG8kj065Gc4LHkUSRGGckXwUaOsaV67t8tlMUBNKWSaOUBETeT+cyWlYjTTkyrRcSL9EoSk\n8deRcsbtKIEaxMoZeDLyyLviUfIGt3zB0rqAYXFTOliIUIDA2vlow85FyYikZVEUFdeYy8HtJbhm\nTiN7ODpRFIW0roPocO7vQFXR572ICPkJzfw/hB7Ac9XzJP38Vbw3voXabTg1H9yLcRAqkHTMS2L9\n7hCVPuu9tGRzgI45LV/tp6j3ENLz2xGe/QyiLpLuQdSWoc95DiW7CK2oV4sf81DjGOgEQVEUPANO\nJv2KJ2h7y3/Ju/QBvF0Gt+gxlmyq45SH15P3y+Xk/eoHzn58Iz/uPHg5q0RYB2HsGwmnuSN/oZbP\nMXwk4U7PJXfq7zBWfUHg8fMw1i/ANeoS1PzOQCQlgHviryDoJ7R2bsM7awEuPr4IQ8DlL5awdmeQ\nSp/Bg5+V8/q3NQzokMTanS17PVVN44zbHkEt20zgyWkEXriWwJPTEDt/RJTvoPaN32NUNJrN+LAi\nQSWOMkSNAtI0SEhTTMu7Uk3y6JCmSoqlpJN1etqho/kybpjkDC87whdLASzym3B5yhj7xthuSmWX\neEmWSOR15BzVWUnWS9Q9z+y7UbYm2rb13KgPFFhb7OfUh9fTJc/FP6flEdQFT86pYuJDG1j4p360\nzZJCumWJI9mUCdQC01tjbZ153hZvNT03iqvjnzcA4U7B1a4P+rKPUPtOiF47Y/UX4K/G3W2YRdaQ\nExnlpZr969/G9NyZ0s9M2gRwZk/z/ITXfxxth3aagTyi0pyqCynQSdgkk4p8lkaJFklIyiHukvNl\nm/+EjN1m8ipFCijqX2Qt9jtgvFnp/PWlZrIwOcmUa8wZFPUeQslXb7HrqzdQ0k0pxSjbhr7oDdA0\nfHNfRuhBvINPt4TFy/evfH02l5m//Yt15nM0oG3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qvllXzXe3JvJ9dg23DfXWt2Kvnf6t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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12d54e8d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.svm import SVC\n",
"\n",
"svc = SVC(C=10.0, probability=True)\n",
"svc.fit(X_train, y_train)\n",
"print(svc.score(X_test, y_test))\n",
"\n",
"x_r = [-6.0, 6.0]\n",
"y_r = [-6.0, 6.0]\n",
"set_sklearn_backgound(svc, x_r, y_r)\n",
"plt.xlim(x_r)\n",
"plt.ylim(y_r)\n",
"show(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import tensorflow as tf\n",
"cls = tf.estimator.DNNClassifier(\n",
" hidden_units=[20, 20, 20, 20],\n",
" feature_columns=[tf.feature_column.numeric_column(\"x\", shape=[2])],\n",
" n_classes=2,\n",
" optimizer=tf.train.ProximalAdagradOptimizer(\n",
" learning_rate=0.05,\n",
" l2_regularization_strength=0.001),\n",
" activation_fn=tf.nn.relu,\n",
" dropout=0.2)\n",
"\n",
"train_input_fn = tf.estimator.inputs.numpy_input_fn(\n",
" x={\"x\": np.array(X_train)},\n",
" y=np.array(y_train),\n",
" batch_size=32,\n",
" num_epochs=2000,\n",
" shuffle=True)\n",
"\n",
"cls.train(input_fn=train_input_fn)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"test_input_fn = tf.estimator.inputs.numpy_input_fn(\n",
" x={\"x\": np.array(X_test)},\n",
" y=np.array(y_test),\n",
" num_epochs=1,\n",
" shuffle=False)\n",
"cls.evaluate(input_fn=test_input_fn)"
]
},
{
"cell_type": "code",
"execution_count": 434,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib.colors import LinearSegmentedColormap\n",
"\n",
"def set_backgound(cls, x_r, y_r):\n",
" N = 100\n",
"\n",
" color_map = LinearSegmentedColormap.from_list(\"color_map\", [\n",
" (0.0, \"#0877bd\"),\n",
" (0.5, \"#ffffff\"),\n",
" (1.0, \"#f59322\"),])\n",
"\n",
" X, Y = np.meshgrid(np.linspace(*x_r, N), np.linspace(*y_r, N))\n",
" X = np.hstack(X)\n",
" Y = np.hstack(Y)\n",
"\n",
" predict_input_fn = tf.estimator.inputs.numpy_input_fn(\n",
" x={\"x\": np.dstack((X, Y)).reshape((-1, 2))},\n",
" num_epochs=1,\n",
" shuffle=False)\n",
" Z = np.array(list(map(lambda x: x['logistic'][0], cls.predict(input_fn=predict_input_fn)))).reshape(N, -1)\n",
" X = X.reshape((N, -1))\n",
" Y = Y.reshape((N, -1))\n",
"\n",
" plt.pcolor(X, Y, Z, cmap=color_map)"
]
},
{
"cell_type": "code",
"execution_count": 435,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO:tensorflow:Restoring parameters from /var/folders/5m/_cvxxx_s65b_k3zv0w28_b6r0000gn/T/tmpfuax01dx/model.ckpt-12500\n"
]
},
{
"data": {
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gKaNsY3951RHDLLFqxVF/eecxw6xxJMflL6flGQc1sp2BLoL5LsN04/KefVWo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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12aa6c780>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x_r = [-6.0, 6.0]\n",
"y_r = [-6.0, 6.0]\n",
"set_backgound(cls, x_r, y_r)\n",
"plt.xlim(x_r)\n",
"plt.ylim(y_r)\n",
"show(X_train, y_train)"
]
},
{
"cell_type": "code",
"execution_count": 436,
"metadata": {},
"outputs": [],
"source": [
"# 予測時に Dropout を動作させるためのコード\n",
"# https://github.com/tensorflow/tensorflow/blob/r1.3/tensorflow/python/estimator/canned/dnn.py から抜粋・編集\n",
"\n",
"import six\n",
"\n",
"from tensorflow.python.estimator import estimator\n",
"from tensorflow.python.estimator import model_fn\n",
"from tensorflow.python.estimator.canned import head as head_lib\n",
"from tensorflow.python.estimator.canned import optimizers\n",
"from tensorflow.python.feature_column import feature_column as feature_column_lib\n",
"from tensorflow.python.layers import core as core_layers\n",
"from tensorflow.python.ops import init_ops\n",
"from tensorflow.python.ops import nn\n",
"from tensorflow.python.ops import partitioned_variables\n",
"from tensorflow.python.ops import variable_scope\n",
"from tensorflow.python.summary import summary\n",
"from tensorflow.python.training import training_util\n",
"\n",
"_LEARNING_RATE = 0.05\n",
"\n",
"def _add_hidden_layer_summary(value, tag):\n",
" summary.scalar('%s/fraction_of_zero_values' % tag, nn.zero_fraction(value))\n",
" summary.histogram('%s/activation' % tag, value)\n",
"\n",
"def _dnn_model_fn(\n",
" features, labels, mode, head, hidden_units, feature_columns,\n",
" optimizer='Adagrad', activation_fn=nn.relu, dropout=None,\n",
" input_layer_partitioner=None, config=None):\n",
" \"\"\"Deep Neural Net model_fn.\n",
" Args:\n",
" features: dict of `Tensor`.\n",
" labels: `Tensor` of shape [batch_size, 1] or [batch_size] labels of\n",
" dtype `int32` or `int64` in the range `[0, n_classes)`.\n",
" mode: Defines whether this is training, evaluation or prediction.\n",
" See `ModeKeys`.\n",
" head: A `head_lib._Head` instance.\n",
" hidden_units: Iterable of integer number of hidden units per layer.\n",
" feature_columns: Iterable of `feature_column._FeatureColumn` model inputs.\n",
" optimizer: String, `tf.Optimizer` object, or callable that creates the\n",
" optimizer to use for training. If not specified, will use the Adagrad\n",
" optimizer with a default learning rate of 0.05.\n",
" activation_fn: Activation function applied to each layer.\n",
" dropout: When not `None`, the probability we will drop out a given\n",
" coordinate.\n",
" input_layer_partitioner: Partitioner for input layer. Defaults\n",
" to `min_max_variable_partitioner` with `min_slice_size` 64 << 20.\n",
" config: `RunConfig` object to configure the runtime settings.\n",
" Returns:\n",
" predictions: A dict of `Tensor` objects.\n",
" loss: A scalar containing the loss of the step.\n",
" train_op: The op for training.\n",
" Raises:\n",
" ValueError: If features has the wrong type.\n",
" \"\"\"\n",
" if not isinstance(features, dict):\n",
" raise ValueError('features should be a dictionary of `Tensor`s. '\n",
" 'Given type: {}'.format(type(features)))\n",
" optimizer = optimizers.get_optimizer_instance(\n",
" optimizer, learning_rate=_LEARNING_RATE)\n",
" num_ps_replicas = config.num_ps_replicas if config else 0\n",
"\n",
" partitioner = partitioned_variables.min_max_variable_partitioner(\n",
" max_partitions=num_ps_replicas)\n",
" with variable_scope.variable_scope(\n",
" 'dnn',\n",
" values=tuple(six.itervalues(features)),\n",
" partitioner=partitioner):\n",
" input_layer_partitioner = input_layer_partitioner or (\n",
" partitioned_variables.min_max_variable_partitioner(\n",
" max_partitions=num_ps_replicas,\n",
" min_slice_size=64 << 20))\n",
" with variable_scope.variable_scope(\n",
" 'input_from_feature_columns',\n",
" values=tuple(six.itervalues(features)),\n",
" partitioner=input_layer_partitioner):\n",
" net = feature_column_lib.input_layer(\n",
" features=features,\n",
" feature_columns=feature_columns)\n",
"\n",
" for layer_id, num_hidden_units in enumerate(hidden_units):\n",
" with variable_scope.variable_scope(\n",
" 'hiddenlayer_%d' % layer_id,\n",
" values=(net,)) as hidden_layer_scope:\n",
" net = core_layers.dense(\n",
" net,\n",
" units=num_hidden_units,\n",
" activation=activation_fn,\n",
" kernel_initializer=init_ops.glorot_uniform_initializer(),\n",
" name=hidden_layer_scope)\n",
" if dropout is not None:\n",
" net = core_layers.dropout(net, rate=dropout, training=True)\n",
" _add_hidden_layer_summary(net, hidden_layer_scope.name)\n",
"\n",
" with variable_scope.variable_scope(\n",
" 'logits',\n",
" values=(net,)) as logits_scope:\n",
" logits = core_layers.dense(\n",
" net,\n",
" units=head.logits_dimension,\n",
" activation=None,\n",
" kernel_initializer=init_ops.glorot_uniform_initializer(),\n",
" name=logits_scope)\n",
" _add_hidden_layer_summary(logits, logits_scope.name)\n",
"\n",
" def _train_op_fn(loss):\n",
" \"\"\"Returns the op to optimize the loss.\"\"\"\n",
" return optimizer.minimize(\n",
" loss,\n",
" global_step=training_util.get_global_step())\n",
"\n",
" return head.create_estimator_spec(\n",
" features=features,\n",
" mode=mode,\n",
" labels=labels,\n",
" train_op_fn=_train_op_fn,\n",
" logits=logits)\n",
"\n",
"head = head_lib._binary_logistic_head_with_sigmoid_cross_entropy_loss( # pylint: disable=protected-access\n",
" weight_column=None,\n",
" label_vocabulary=None)\n",
"\n",
"def _model_fn(features, labels, mode, config):\n",
" return _dnn_model_fn(\n",
" features=features,\n",
" labels=labels,\n",
" mode=mode,\n",
" head=head,\n",
" hidden_units=[20, 20, 20, 20],\n",
" feature_columns=[tf.feature_column.numeric_column(\"x\", shape=[2])],\n",
" optimizer=tf.train.ProximalAdagradOptimizer(\n",
" learning_rate=0.05,\n",
" l2_regularization_strength=0.001),\n",
" activation_fn=tf.nn.relu,\n",
" dropout=0.2,\n",
" config=config)"
]
},
{
"cell_type": "code",
"execution_count": 437,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO:tensorflow:Restoring parameters from /var/folders/5m/_cvxxx_s65b_k3zv0w28_b6r0000gn/T/tmpfuax01dx/model.ckpt-12500\n"
]
},
{
"data": {
"image/png": 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Ea+g4XF2HYZT+RPWMZ/npmavpc/mknb74O9i3UFAyjO6nX8eqt/+PwKKPAHBl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\niUePwuPx2HlcBzthQN9eLJ3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fv425L9wZLZvlzS2m3/l3kNvVLmOTagKphCgWlEqfVhaV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\nOto1iUcRSjfJgtxLFakFIeQ/7mYFIIlGNAa9p7JSqJU2koI1XaYqZHI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PqbFBF5yG1x/3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\nC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bhzvOJ/bhEGPiEWs43yXklpXYYombZ8/me4DHBc/Sbobtwb56Nn7sDI3UfnXn0ZOXwo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\n/wE5ABrD/l/xZAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x12fef3588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def set_backgound_with_droput(cls, x_r, y_r):\n",
" N = 100\n",
"\n",
" color_map = LinearSegmentedColormap.from_list(\"color_map\", [\n",
" (0.0, \"#0877bd\"),\n",
" (0.5, \"#ffffff\"),\n",
" (1.0, \"#f59322\"),])\n",
"\n",
" X, Y = np.meshgrid(np.linspace(*x_r, N), np.linspace(*y_r, N))\n",
" X = np.hstack(X)\n",
" Y = np.hstack(Y)\n",
"\n",
" E = 100\n",
" predict_input_fn = tf.estimator.inputs.numpy_input_fn(\n",
" x={\"x\": np.dstack((X, Y)).reshape((-1, 2))},\n",
" num_epochs=E,\n",
" shuffle=False)\n",
"\n",
" _original_model_fn = cls._model_fn\n",
" cls._model_fn = _model_fn\n",
" try:\n",
" Z = np.array(list(map(lambda x: x['logistic'][0], cls.predict(input_fn=predict_input_fn)))).reshape(E, N, -1)\n",
" except:\n",
" pass\n",
" finally:\n",
" cls._model_fn = _original_model_fn\n",
" X = X.reshape((N, -1))\n",
" Y = Y.reshape((N, -1))\n",
" Z = np.sum(Z, axis=0) / E\n",
"\n",
" plt.pcolor(X, Y, Z, cmap=color_map)\n",
" \n",
"x_r = [-6.0, 6.0]\n",
"y_r = [-6.0, 6.0]\n",
"set_backgound_with_droput(cls, x_r, y_r)\n",
"plt.xlim(x_r)\n",
"plt.ylim(y_r)\n",
"show(X_train, y_train)"
]
}
],
"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
}
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