260 lines
191 KiB
Plaintext
260 lines
191 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"(3, 2)\n",
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"(3,)\n"
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]
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},
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{
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"data": {
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"image/png": 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ZtbnV23rsLizLRo01tMKjzgxSSv7JaeeezVuwgLjNhicW42+l5Dunz3G1trAG\nNCH4y6jBl5rP8erkhPJVCDyaBkLwpZ4+/rywYF4EDWC3TD495ge1iWRJqN9SjpHrYs6Tw+yJPMkN\nA8coifoZdBXwq9q3cdx1I2FRvOzzJatr3KmVoVtRqmJRciHd7QEh+W7jplmpa8HJaYSP72jiyVPn\nKNYW/wDzaBrXJ3n8zULn7pY2ftCwibiuY2oadsNAA/7bmfNsVzJeMuo3laPMF/Po2hWzNKmxTnJ4\n/EmuHm5GSMkbJU3cV30n7fo+pLi82zhVC6ZO2cAG2wVsxtqXMcC/1NUmjV4BTCG4z2Hj88aVpUF8\nJWrwnuaz/NTjptvlYmswxIfDUap1VRB6OSgh5zizxfwA9f6xGWJ+B0aoMdNDTIlTjrMz+gw3DD1N\nVWiYcYeHR6pv4TX3TUyIiis6dyoZT+gwalaz3Xbyis6fLUSlpMvnTfl8xG7nWGEBnx8au+JrNWk6\n/z0cg3As8YCS8bJRQl4nJMT8hTlivo/2qjx6xrNHzFJaVFrnOBR4gsNDr2O3TJoLG/ltxbu4aDuA\nFFe+Yr9Qc9JOmw9MqDWuXFDZgI3FJ108hrmkc4Uti4d1QYvdToVh8A7DXNJUh2LpKCGvM5KJuS4L\nxGyXQbbFjnH98NPUTfQRtLn4Q+W1vOq5iTGxeGPRlaJTVOEWY5TEDVZj/tiwLE4iiSHZgYZ3hbcZ\n60JwQ3cvT1RXIZOcOy8W432j47BISuAz0uQLO7YigZDDgSse5++F4K/PnOdua0WHvK5RQl6nTIvZ\n1UNl0YMZE3Ox1crB4B+5ZuAV3GaMC/k1fL/+I5y1HcEUK98ZdKHoWCLpMjdTo19AxNMv43uF5B+3\nNWIIDYEkrml8qLWDvwpFsK+gmL88NMILFWWE5uQDOw2DhnE/N0sW/OzpMk0+t6tp1jx0ZPL//6Fp\nM5uaz3L9EiJlKSVvSIt7fR6GHA72BCb4UDROmZramEYJeZ1jRTasuph1GWFL/AWuHX2KreMdRHQ7\nz5VdxcvemxjS0rfYuJCMAYZtNsKykFrZm7YxTHGvkPyPbVvmLbb9rH4jI909/D/+0Ipda6tu42fN\nZ/lqTRXniwqxmxZxXeMdHV38d39w0aps3/W4MFLUogjb7XytspzrBxbeiWdJyV/kexKFinQdS9N4\nJm7wDSRfO3WWW5eRppjLKCErgAXEXOmhx//2FRFzvuzm6uAfuW7wRbzxMJ2eCn5c935OO64jLjwr\n8C5Ss5iMATpthWBAbXwirWMxLIt/bGpMmvkQsdt5tKaa9hOnV6wAfExKDCH4b929lHT1EBEaNYjE\n9IimMWyZ/NJu46LLSXUsxvtuLw0eAAAgAElEQVSicapnRLzPlhSn3BoNcLy0GBYR8g91wWM1G2a9\n5+hksfv/bUcTvz95lkoVKSshK2az0mIWMk6j+TLXjD7FrtELxIXOi2V7eTH/JnpF07K2M18uS5Ex\nQCe1FOndeK8wBWwxmpHEF6gPIYHHHXY+ZV7ZOKSUfMcm+NfNjdP1gSwh+MzFVv5zLLGQ9xtp8Ze7\ntoGURO127IbBN4A/O3eB3dE4PykqoNu78Ielw1p4EllKyTc3zd96PYUpBD9xO/jz2NIWF3MZJWRF\nUmaKuaroATb5x5clZo8cYF/4Sa4ffI6iaIB+dzE/3/hOTjpvICIKgdXZcrFUGRtIeoxGdtpeTO+A\ngDhMd95IhiUE8RVoFfVvdo2vbZkfif97YwMTre28PxzhyzubZm0YmYqE/3HbVpiaphACpLz08wyE\nZbFzeAS/ZZE/Z+pDSsm9Gny9roZ+T/KCTpCoCvdqfj4MjV7uW80ZliVkz+YAR379VLrGkhaef9cN\nmR7CmsaKbKC794v0Toq5fiExz+lHJ4FXS3fyQs2NdGq7l7WdebXpdbgwLSe11mDar7UdgbHAvK3d\ntDgUi8MVpJSFpMXXtmxNGpWGHXZ+1LiJ/q5u4qnGMffxZHPIUiKF4HhJCYfLSvnTcxemN5hIKfmv\nvjweqa1OGRnPPE9RLDbvYUtKjkmLXxX48NtsHPIH+GDcpCiHC97nfIS81j5AkpENHyqXxNxNVdGD\ns8Q8PHYjO8fauH7gGOWRUUacPn5Tczuvu28iJJIXnVkNlhodA3TqJWhWnA3xSPoGNIlH0/hwazs/\nTVJBzW6aNPj97F/iVE5MSh4RkvvKSgjYbBwcHePjoQgXAX2BqQSbZfF8eRnmcudtZ0b2k5IOOxLv\n4WtbGik+c54PSsFr0lqajIG8eJw7xv2zPrCjUvKJ8mKOlxQTsttBCJ6Lx/l/peQ7p85xMEfzn3Ne\nyLlA9n2o7CLQOYb452bquydo4GGqrQC9lV6ef99hjLtLEC6NPZy6oqtcyQfRcmQM0GnVU2lrwbFK\n5Ta/Eooy2tXDw7WJllGmENgti4ZxP9/r6kXMEU7AsviO08bPamsIOBzU+/18sruPe6oracv3Tae0\nnS0q5GdS8smLrQte30LgMC9jznaB6Yuw3c4/N9Tx/gvt/DTfS2QJsnfF4xwcHOJaZn8A/U+3g9dK\nS4gmSbX71PatPHf6fKK4UY6hhKxYFlavgfcbPRx+tJkN40MM5eXx0vYS2kt9CGCw9wKuHo28hpIr\nvtYVfRB9eumHhjUYMus4bHv88q+3TGyaxj8FQvzpyTP83q4TF4KDMYN9QpsnY79l8p/qa+nzeKbn\ne5tLS/jLokKkEFgzxBS32YgD9zTWYy7QNskSgvd39fCtzQ1LimJnscB5/Q4HvZZFn8uZdCPKNFKS\nH43xidZ2vhiNI2YcG7UsfrapbpaMZ48dHtQFH87BLiRKyIpFkZaE301Q/d2L7Dt+GqdlcL6ylt9+\n+DainyxD8+mEu8cJ/fAMFW8YiK+eoX+HhuuuJvIall+BbbXpsnvAhBpzZNWvvVHT+YQJIFPOGf8v\nj5sej2de6tli0w1bR8e4UFg4nV42hd0w2DI2hsuSOA2DmKbNPleKCHj6OUj5vCUEGrAzMMGLhpEy\nXS4/EuWVsxfRJ1PvZtInLcQCC5ohh4PjeW4+HEz/9NJqo4SsSIkcNXH9Wx87fnuKTUN9hGwOXj64\nm/5P1yOuT6RCTf0puasLcH/lMIGuMcI/PEv5cQPx1dMZE/Pff7uBr366ZUnHdmoVOK0JyuPZ1x5E\nSsnP6zYumAecjIjdTsNEkIpIlGcryzE1DQnoUmIJwemSYk6WzvgWIyUO00QKkXqhDxaMjgEKolEq\nNY27QlF+IBMZJXNxxeN8qrU9IeMk+ITAWGCOWDdNio3s+7daCZSQFfOQz4ao+PcW9r98ijwjSntJ\nBY989BZCn69EK9YXTFdz1xTi/qvsEfNiSCSd5maq9QtoyeyRYWJAxHYZC1hS8h+11Xz/5Bm+PDTC\nHxx2zuY5eai2lniqyFpK/rb5LN1OB/9f0+SOyeV0i5aSq4eGEUJQo+v8n6fP8jfbt2Jo2nQD1LxY\njKuGhvl8zJiOjPtMk5+4Hbzu81Eai3HHeIDdQ8O8UlGW9Pp2y+J9oWhOVpNTQlYAYE1YOL8zQNP9\nZ9jS20lMs/Hanu30fKwB+WYfQhMsZwllQTF/tIm8Tdkh5jGbzoRVytXaC5keSlIcgC8WY9yVoq5H\nqukFIYjbbHxqZxNfOXOeb9XXMe50YC4Q/cbsdv61sY5jFzs4+vpJvlq/kfaC/CVLWZOSnaHw9M/v\nRWNf81m+73FzvCCf4miMD4+McTMCbXIcj0mTP9vVhCUEMZsNYVk8ZpjsGxwiLx4nbLPNmot2x+O8\np72TxhyUMYCQCySoz6X6QLX80stfSuNwFKuN9XqE0m+2sf+5ZvKjIXrzSzj+5p1MfH4DWvUyF3sW\nINw1lphjPm4iJPTv1HDdnX4xLzZtcdxVxNPGW7lL/pSCK9wZly7+l0Pn3xvrky9yLTKnazNNJIvP\nN0/hjsf54cnTCKHRK+Cvtm0h4HQu6bWuuMFvTp5Zsiz7TJNbdjVNZ0/MHcedLe1c9ORxrCpR+7ok\nHOGLbR3cZUrEciL3LEDcc88rUsoDix2nIuR1iIxY2H40QuPPz7KzvQVDaBxv2krHXVuw3luw7Gh4\nKSQi5iMEZor5K6dXTcyp6KSafK2fglh2yhjgi5E4x0ZGOVNUOJ3eJiwLl2nyiQutfKNpMzKFoIxl\nRpJRXefO3TtxmQYxXSe2xNQyVzzOLd29s2TcZZqc1yBfSvYLHW3OGH/idmAtULTowdoNvHi+jdjw\nGDEp8QqREPEak/FyUEJeR1jnYhR9vYO9TzZTEvYz6Cng8Xdcy/gXa9AaJv/Q0zyG1RbzQot7JpJu\nczNb9ddX9JorjVPT+GnvIA/1D/KDijJGXU52jPn5zOg4+zSd75om4RXKybWEwLJpxKfmraVcOOti\n8pgPt7TxlXBsuljRn5aX8Ep5GQ7TxBICt2HwD+dbuGXG5o/XfT5iCyxWjrlchJHkCQ1nDkt4JkrI\nOY40JPrPx6j76Tl2nzuPAJobGnnmjuswP1SEcGorHg0vhWkxd44R+lFmIuZ+u4O4zKNWDqT9WleK\nXdN4N/Du/hlV1SYzEW7v6uG3G2sxkxUsWkymix07tRFkgfP4olH+JppYpItJyQc21dLt8xLX9em8\n6aDDwZ/saOJ7zWc5NDnu0lgMYVkp85U1KXHmQJPZ5aCEnKNYnXHyv97F7sdPURkYYdzp4elbDzH8\nhTq0XYk5wWy41d21qcXsvnsb7k1Fabt2p16CMEyqYytXezgT/OlYgMerDYKafZY0baaJKUTK6YxZ\nLCTuKSknwW4YfKS9c/rn3wnJYJ47aSZHxG7nH6sq+GX/EAB3jAd4zDAJOeYLWbMs3tzZhb5OIuMp\nlJBzCGlJxG/81P7wInubz2CXJmer63jpEweJf7wUkZeZaHgpzBRz+IdnKD9hIr5yakXEnGraoktu\npExvx7XGU1o36To/P3WOL1dXcq6oEIdpEtN1bujpoykY4p7N9al341kWNsuiIBpjeIGKbMlk7TQM\nagMBvjg5VQHwm8ICgo7UfQ/fKCsh2juAU9M4JDSu7+vjqarKWePTLIv8aIwvjwZyMrVtIZSQcwA5\naJD3jV52PXKKmtEBJuwunj+6j8HPbkIcTvyRrZU4w11biPurs8XMV04xsMIRc1RAv1nPVbZsqxNy\neWzTdB7sHaS7u48RKakWgmJNR0rJRGsHP2moQ5NyetOHFIK8eJwj/YP8ycgY93rzuK++bunFhqTk\n2t4+/mV4fFZNCWORG80SgqmSRxNSUhmJJkqNTkbgmpTc3tnFX4/4qV5nMgYl5DWN/MMEVfe0sP/1\nU7jMOBfLq3no028i8ulytMKFN3BkO+kWc7fdjbR0as2FO12sNao1neoZPwsh+N8jMT574gy/s+tE\nhGBvPM5BoV9KHdN0xiaC/HQ5C4NC0Onx4BkNzHr48HiAP9Sknv4QQJu0qJPwvroNdPh8GDMW9nTT\npM3rpWTOedcLSshrDGvMxPXtAbb/+hQNAz1EdDuv7d9B7ycbELd4AbJ2WuJySCnmXTruu5qWLOa5\n0xadejk2GaYyPr8Oby5SqeuT3aElaLP/7KOWxV9sXX6LLn+SqYlq02Sh0vo20+RVu41jArq83nlZ\nFnGbjbZ8H7/Q+7grezMR04YS8hpBvhCi7N/b2P9iM954hK6ich75yE2EPleFVm5b09HwUrgk5tHE\nzr+ZYr67CXfd8iLmTrOBav0CehZul15tHtEgYrMtK79XWBY7xsbmPV4gE5s65na4nsJuWbik5Ns1\n1Uk3hEBi8e9H1VXc1dW35PHkCkrIWYwMWdi/N8TWX56hqbuduKbz+s5tdH10M/Lty9/OnAu4a4vm\ni/nLyxOzXxeMW1Xs1t5YhRFnP8e8ngUX4pLhMk0+NzQyL9o+ILQFgwNT07jZtPh758LXG1/meHIF\nJeQsxDoZpeQb7ex/5iQF0SB9vmIee+/1BL5QjVabiCpyPSJejFli/sHSxDw1bdFl8yXKbRrzI7z1\niNu0FswHRko0KRN1lycX34QlecHhYE/MwDXjdU4h+MuzF/iHbVvmZXa443HubmmjWNPZOjbOC253\nyus1jY+vyHtbayghZwlW3ML2k1Ea7j3HzpaLSODE1q20fXgL1vsLEbb1Fw0vBXdtEe6/Xp6YO8UG\nPNoIxTET9dEG7wyG+FWKfGCA+vFxAnYHI27XdDH8kNPB17c08PvRMe7tHZy1k+5uKXCeOc//bKwn\natMT09ZIvnCxlc/FLRCCLwwMcby0JGk6ntsw+PzgyBX1FFyrqOJCGcZqiVH49U72/LGZsuA4I24f\nr9+4i9EvbkTbuj6/tl0J4fZRwj+aFDPME7MwLMr+827q9dPcGrmQyaFmDVJK7iov5tU5LZMgUaPi\nwy2T/f8cyYsA/dWZ89wl53+wmVJyXlpYwGah4ZgzR/3PDp1vN9YT03UsTUM3TeyWxZfOt/AlI3U/\nwLWIKi6UxUhDoj0wzsYfnWfP2XPYpEVzXQPPffEoxkeKEa7s3cCR7bjrJiPmmWL+8ikGduu4P9pE\nXZ+LqPRRI9ffglEqhBDc0z/M34bCPFBXi900MTWNslCY/6O1g7/buCGpjCFRBOgHKRbgdCHYtkCn\n8T+Pmbz15Bl+5PPQnuemPhTm7kCQrfr61dL6fecZwOqO4/1mD3sebabKP4zfmcexG69m6POb0PYl\n6t2qL9ArwywxTy3+/ddTDJSVkG8FqLUmMj3ErMKlafxfwQhfPXmWFiReCQ1aor/fiDNFLeZJRlLV\nal4C23UbfxeKQiiaeGAdyxiUkNOOtCTi0QDV37vIvhNncFgG56tq+e1dVxH9ZDmaV0XD6cRdV4T7\nby6JufLEKBHu4WslMd5vltBoplhYWqf4NI29cx5r9PsZWmBbdYPfn95BrSOUkNOENWKS980+djx0\nirrhRD+6lw5N9qO7bnY/OkX6cdcV4fuzg7j/fDsB/SG0kQF+yRiyeFiJeRE+OzDE8ZKSpNMWebE4\nn+sfhAWmJhRLRwl5hZHPBKn4Viv7X2kmz4jRVlrJwx+/hfBnF+9Hp0gvlc/GCGjFVL23hmt/GeMX\n+jDasK7EvAg3oXFnW2JhL6LrSE2bLpD/gbYOblGhxYqhhLwCWBMWznsm+9H1dRLVbLy+dwc9H29A\n3uZdlxs4spG843kEidN/jYP7btvJVz/dwvnCEL/URtBGJsVcMsz7DSXmmQgh+JtInLc2n+F7hQW0\ne/LYGArxsVE/BzU9pzt4rDZKyFeA9VqYsm+2s++5ZvJjIboLSnn0jhsT/eiqEr9adatmD5Guaory\nWxn1Xvp6vcXI4yvkXRLzsBJzKq7WbFztD4I/mHhgHeYJpxsl5GUiIxa2Hw6z+edn2dHRmuhHt62J\njrs3Y707Pf3oFFeOpzvGeKSG8m3PMHXbzyw4NFfM+gwxf8AooUGJWbEKKCEvEetslKKvd7DvqWaK\nwwEGPYU8/s7JfnT1q9OPTnH5lD1rMQqMH4iz0G2fTMy/UGJWrBJKyAtgxS30n49R/5Nz7LpwAQGc\nbNzM03dcj3FnEZpdpaytFeynC3BqAQb2LS1ndkrMZwtD3K/ErFgllJCTYHUk+tHtebyZiolRxlxe\nnrrtMCOfr0XbmfiDViJeQ1iSQP8mCkpbGbDN/h6zUFdqgCYlZsUqooQ8yaV+dBfY23wWuzQ5U1PH\ni586ROzjpWhuFQ2vVUpORQibReRtewO4vF1lqcRMyTAfMEqpNy9/t5pCMcW6F7I1YOD5Ri+7Hmmm\nZmww0Y/u2n0Mfq4ecTAR/SgRr22KXtAZBIaOXvm/ZDIx/5xRKDGVmBVXzLoVsvz9BBvuuci+N04n\n+tFVVPPQZ95E9NPliAK1gSOXkBfK8Dn66NqUvHreYtMWyZgp5l9pI9iUmBUrwLoSsjVm4vpWP9t/\nfZqGwcl+dFftTPSjuzmxnVmJOLfQwyZjY/WU1J1Iy/mbjDz+SolZsUKsCyFbz4co/9alfnSdReU8\nctfNhD9XiSjL/X5065mKF2MEpYvI7gkg9QLc5UTJM0kqZjEKxUrMiqWTs0KWIQv7d4fY+quZ/ei2\n0/WxRuTbEv3olIhzH+9rLkKY9B9NXs93pVFiVlwJOSdk63iEkm92sP+Y6kengFhHFYXeNsaKVvdW\nV2JWXA45IWQZtdB/MkLjfefY0dpyqR/dR7ZgvU/1o1uvuAbjjIY2Ur7zeZaSK3Ol0xbJmBLzmcIg\n92ujSsyKBVnTQrYuJvrR7f1jM6WhcYbd+TzxliOz+tGpaHj9UvGswRgagauiLDR/vBpsMzz8FR4l\nZsWCrDkhS0Oi3T9O3Y/Os+fcOXRp0bypkWc/cBTjrmKEU23gUCRwNvuwixADB52ZHso0SsyKhVgz\nQra64/i+0cPuxy71o3v6pgMMf65O9aNTJGWidyOFxa0MpWhvn4x0TFskY0rMp4uCPCBmi/mDZimb\nDCXm9UhWCzlZP7pzGzbyyt1XE/1EmepHp0hJwfkowXg57s1ngOQbQrKB7XEP2+eI+T4l5nVLVgo5\n0Y+ud7IfXT8hm5OXDu2h/7P1iKOJZotKxIqFKH0OhoCRI9ayX7taUfJMlJgVkGVCtp4KUvXtFva9\nemqyH10VD3/iViKfrUAUqe3MiqUjzhfjsQ3R05Q988dLIZmY7xUjaMUWHzRKqVNzzDlNxoVsBUxc\n3x6k6cHTbO7rmu5H1/3JBrjVqzZwKJaNiFmMDzVQWH0GtLV598wVszas8zMl5pwnY0K2XglT9m9t\n7H++GV8sfKkf3Rc2oFWq7cyKy6f81SgR6SG+M8DlltvMxLRFMpSY1xerKmQZsbD9YJgtvzjLdtWP\nTpEm8l9xEMGi/2juNOGcKeb7lZhzllURsnUmSvHXO9j3dDNFU/3o3nUd41+oVv3oFCuO0VZBobuT\n9orVqV+xmigx5zZpE7IVt7DdO0b9T8+x8+KlfnRP3Xk9xh2qH50iPTjGDcYCmyjd+hJX+jGfLdMW\nyVBizk1WXMhWW5z8b3Sx9/fNlE+MMury8tTthxn5/Ea0HYkVbyViRbqoeDaOHxuh/REyvV16NVBi\nzi1WRMjSkogHx6n90UX2nkr0oztdu4kXPn2I2MdUPzrF6uE+4SFIjL7DK7MZJJuj5JlMiflUUZAH\nGEEbtikxr0GuSMjWgIHn6z3s/o9TVE/2o3vuuv0MfXZTzvejs1kBXGaQiO7D0DyZHo5iknB3DUWF\nLYzk5c6C3nLYEfewY0rMYraYP2SUUqvEnNVclpDl4wE2fKdluh/dhYoaHvrsm4h8phzNl9sbOJzm\nCG8af5KmmB9DCGxSctJZxBP5NxHT8zM9vHWNrz2KP7qBsp0Xgdxb0FsOycT8EyXmrGdZQtb64uy9\n/vc0DPYQtjl49aqd9H2qAXFTIkLM1Wh4CrsZ4JNDD+GVJjrgkBKA3dERNg7/hu+WvgdTy8vsINcx\npc9JRoCxQyYrKeS1Mm2RjHliHrLxE20EvdjiDiXmrGNZQi4YCmDbaPDI3TcT+lwlWun62sCxO/QS\nbmkx98uwHfBZBltCr3PGezQTQ1MAtjOFuPRx+netre3Sq8GUmE8WBfm1psScrSxLyKO1hbz8zO3r\ndgPHgXAPDmTS55xIDoQ7lJAzhSHxD9aTX9ZKv209hQnLY5fhYVdKMZdRa6oPs0yyPK8WaIg1Whtg\nJZiaokiFU5qrNBLFXEpPRIiYBRjbx9Jy/r//dkNazpspdhkevhqr5a1F+ZiFJnJI5yf+Yf5vZxed\nejTTw1u3rMdA97JpsftIVczRBC44ilZ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lHQIPq+3zNMlcK7l90VovZUPk4d7W9kAwB+91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\n/wEktrP0gsuzhQAAAABJRU5ErkJggg==\n",
|
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"text/plain": [
|
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"<matplotlib.figure.Figure at 0x110b4f550>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
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},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
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"----------Uncertainty Estimates-------\n",
|
|
"(25, 2)\n",
|
|
"(25,)\n",
|
|
"[ True False False False True True False True True True False True\n",
|
|
" True False True False False False True True True True True False\n",
|
|
" False]\n",
|
|
"['red' 'blue' 'blue' 'blue' 'red' 'red' 'blue' 'red' 'red' 'red' 'blue'\n",
|
|
" 'red' 'red' 'blue' 'red' 'blue' 'blue' 'blue' 'red' 'red' 'red' 'red'\n",
|
|
" 'red' 'blue' 'blue']\n"
|
|
]
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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jcM89g7F9eyUsFgcuuywVw4fTWEklLr88HUVFRo96Ly8vsZsl6sFEQU5nVBidU6akY9Wq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\neFGDUM7FTjxqLcoY+AI9bWRmAu+84/r7ffuA5593zY7abCK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OJwWdwVJVBTz/vFiVWVoK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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x110bd1e80>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"-------Predicting Probabilities---------\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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Uq/nrdruKt966iCNHGmAwCGCMJ3Tffffg9vMajSJmzAjejHfCNwkJBjz88DA8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\nkKDAkxBCCCGEhMT/BziCrfXKRmTaAAAAAElFTkSuQmCC\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1c1bdbaa20>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"import mglearn\n",
|
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"from sklearn.model_selection import train_test_split\n",
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"from sklearn.datasets import make_blobs\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from sklearn.svm import LinearSVC\n",
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"X,y= make_blobs(random_state=42)\n",
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"\n",
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"linear_svm=LinearSVC().fit(X,y)\n",
|
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"print(linear_svm.coef_.shape)\n",
|
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"print(linear_svm.intercept_.shape)\n",
|
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"plt.scatter(X[:, 0], X[:, 1], c=y, s=60, cmap=mglearn.cm3)\n",
|
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"line = np.linspace(-15, 15)\n",
|
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"for coef, intercept in zip(linear_svm.coef_, linear_svm.intercept_):\n",
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" plt.plot(line, -(line * coef[0] + intercept) / coef[1])\n",
|
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" plt.ylim(-10, 15)\n",
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" plt.xlim(-10, 8)\n",
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" \n",
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"mglearn.plots.plot_2d_classification(linear_svm, X, fill=True, alpha=.7)\n",
|
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"plt.scatter(X[:, 0], X[:, 1], c=y, s=60)\n",
|
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"line = np.linspace(-15, 15)\n",
|
|
"for coef, intercept in zip(linear_svm.coef_, linear_svm.intercept_):\n",
|
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" plt.plot(line, -(line * coef[0] + intercept) / coef[1])\n",
|
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"plt.show()\n",
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"\n",
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"\n",
|
|
"print (\"----------Uncertainty Estimates-------\")\n",
|
|
"# create and split a synthetic dataset\n",
|
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"from sklearn.ensemble import GradientBoostingClassifier\n",
|
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"from sklearn.datasets import make_blobs, make_circles\n",
|
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"# X, y = make_blobs(centers=2, random_state=59)\n",
|
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"X, y = make_circles(noise=0.25, factor=0.5, random_state=1)\n",
|
|
"# we rename the classes \"blue\" and \"red\" for illustration purposes:\n",
|
|
"y_named = np.array([\"blue\", \"red\"])[y]\n",
|
|
"# we can call train test split with arbitrary many arrays\n",
|
|
"# all will be split in a consistent manner\n",
|
|
"X_train, X_test, y_train_named, y_test_named, y_train, y_test = \\\n",
|
|
" train_test_split(X, y_named, y, random_state=0)\n",
|
|
"# build the gradient boosting model model\n",
|
|
"gbrt = GradientBoostingClassifier(random_state=0)\n",
|
|
"gbrt.fit(X_train, y_train_named)\n",
|
|
"\n",
|
|
"print(X_test.shape)\n",
|
|
"print(gbrt.decision_function(X_test).shape)\n",
|
|
"# show the first few entries of decision_function\n",
|
|
"gbrt.decision_function(X_test)[:6]\n",
|
|
"print(gbrt.decision_function(X_test) > 0)\n",
|
|
"print(gbrt.predict(X_test))\n",
|
|
"# make the boolean True/False into 0 and 1\n",
|
|
"greater_zero = (gbrt.decision_function(X_test) > 0).astype(int)\n",
|
|
"# use 0 and 1 as indices into classes_\n",
|
|
"pred = gbrt.classes_[greater_zero]\n",
|
|
"#pred is the same as the output of gbrt.predict\n",
|
|
"np.all(pred == gbrt.predict(X_test))\n",
|
|
"decision_function = gbrt.decision_function(X_test)\n",
|
|
"np.min(decision_function), np.max(decision_function)\n",
|
|
"fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n",
|
|
"mglearn.tools.plot_2d_separator(gbrt, X, ax=axes[0], alpha=.4, fill=True, cm=mglearn.cm2)\n",
|
|
"scores_image = mglearn.tools.plot_2d_scores(gbrt, X, ax=axes[1], alpha=.4, cm='bwr')\n",
|
|
"for ax in axes:\n",
|
|
" # plot training and test points\n",
|
|
" ax.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=mglearn.cm2, s=60, marker='^')\n",
|
|
" ax.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=mglearn.cm2, s=60)\n",
|
|
"plt.colorbar(scores_image, ax=axes.tolist())\n",
|
|
"plt.show()\n",
|
|
"\n",
|
|
"print (\"-------Predicting Probabilities---------\")\n",
|
|
"gbrt.predict_proba(X_test).shape\n",
|
|
"np.set_printoptions(suppress=True, precision=3)\n",
|
|
"# show the first few entries of predict_proba\n",
|
|
"gbrt.predict_proba(X_test[:6])\n",
|
|
"fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n",
|
|
"mglearn.tools.plot_2d_separator(gbrt, X, ax=axes[0], alpha=.4,\n",
|
|
" fill=True, cm=mglearn.cm2)\n",
|
|
"scores_image = mglearn.tools.plot_2d_scores(gbrt, X, ax=axes[1], alpha=.4,\n",
|
|
" cm='bwr', function='predict_proba')\n",
|
|
"for ax in axes:\n",
|
|
" # plot training and test points\n",
|
|
" ax.scatter(X_test[:, 0], X_test[:, 1], c=y_test, cmap=mglearn.cm2, s=60, marker='^')\n",
|
|
" ax.scatter(X_train[:, 0], X_train[:, 1], c=y_train, cmap=mglearn.cm2, s=60)\n",
|
|
"plt.colorbar(scores_image, ax=axes.tolist())\n",
|
|
"plt.show()\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"---------Scaling training and test data same------\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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pwSAiIiIiIhWpwSAiIiIiIhWpwSAiIiIiIhWpwSAiIiIiIhXF1mAws3Yzu9vM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\ngg==\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x109de6a20>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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pwSAiIiIiIhWpwSAiIiIiIhWpwSAiIiIiIhWpwSAiIiIiIhXF1mAws3Yzu9vM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\ngg==\n",
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"text/plain": [
|
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"<matplotlib.figure.Figure at 0x1c1a685ba8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"print (\"---------Scaling training and test data same------\")\n",
|
|
"from sklearn.datasets import make_blobs\n",
|
|
"from sklearn.preprocessing import MinMaxScaler\n",
|
|
"# make synthetic data\n",
|
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"X, _ = make_blobs(n_samples=50, centers=5, random_state=4, cluster_std=2)\n",
|
|
"# split it into training and test set\n",
|
|
"X_train, X_test = train_test_split(X, random_state=5, test_size=.1)\n",
|
|
"# plot the training and test set\n",
|
|
"fig, axes = plt.subplots(1, 3, figsize=(13, 4))\n",
|
|
"axes[0].scatter(X_train[:, 0], X_train[:, 1],\n",
|
|
" c='b', label=\"training set\", s=60)\n",
|
|
"axes[0].scatter(X_test[:, 0], X_test[:, 1], marker='^',\n",
|
|
" c='r', label=\"test set\", s=60)\n",
|
|
"axes[0].legend(loc='upper left')\n",
|
|
"axes[0].set_title(\"original data\")\n",
|
|
"# scale the data using MinMaxScaler\n",
|
|
"scaler = MinMaxScaler()\n",
|
|
"scaler.fit(X_train)\n",
|
|
"X_train_scaled = scaler.transform(X_train)\n",
|
|
"X_test_scaled = scaler.transform(X_test)\n",
|
|
"# visualize the properly scaled data\n",
|
|
"axes[1].scatter(X_train_scaled[:, 0], X_train_scaled[:, 1],\n",
|
|
" c='b', label=\"training set\", s=60)\n",
|
|
"axes[1].scatter(X_test_scaled[:, 0], X_test_scaled[:, 1], marker='^',\n",
|
|
" c='r', label=\"test set\", s=60)\n",
|
|
"axes[1].set_title(\"scaled data\")\n",
|
|
"# rescale the test set separately, so that test set min is 0 and test set max is 1\n",
|
|
"# DO NOT DO THIS! For illustration purposes only\n",
|
|
"test_scaler = MinMaxScaler()\n",
|
|
"test_scaler.fit(X_test)\n",
|
|
"X_test_scaled_badly = test_scaler.transform(X_test)\n",
|
|
"# visualize wrongly scaled data\n",
|
|
"axes[2].scatter(X_train_scaled[:, 0], X_train_scaled[:, 1],\n",
|
|
" c='b', label=\"training set\", s=60)\n",
|
|
"axes[2].scatter(X_test_scaled_badly[:, 0], X_test_scaled_badly[:, 1], marker='^',\n",
|
|
" c='r', label=\"test set\", s=60)\n",
|
|
"axes[2].set_title(\"improperly scaled data\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"collapsed": true
|
|
},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"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": "3.6.3"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|