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@jonnung
Last active September 3, 2015 09:13
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K-Means_Clustering
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{
"metadata": {
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"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# K-Means Clustering\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import sys"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import itertools"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from mpl_toolkits.mplot3d import Axes3D"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.cluster import KMeans"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import datasets"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pprint"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import seaborn as sns;"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"iris = datasets.load_iris()\n",
"X = iris.data\n",
"y = iris.target"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"clustering_model = KMeans(n_clusters=3)\n",
"clustering_model.fit(X)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 46,
"text": [
"KMeans(copy_x=True, init='k-means++', max_iter=300, n_clusters=3, n_init=10,\n",
" n_jobs=1, precompute_distances='auto', random_state=None, tol=0.0001,\n",
" verbose=0)"
]
}
],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"labels = clustering_model.labels_"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"color_list = []"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for label in labels:\n",
" if label == 0:\n",
" color_list.append('red')\n",
" elif label == 1:\n",
" color_list.append('green')\n",
" else:\n",
" color_list.append('blue')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"for combination in itertools.combinations((0, 1, 2, 3), 2):\n",
" plt.scatter(X[:, [combination[0]]], X[:, [combination[1]]], color=color_list)\n",
" plt.xlabel(iris['feature_names'][combination[0]])\n",
" plt.ylabel(iris['feature_names'][combination[1]])\n",
" \n",
" plt.show('./plot.%s.%s.png' % (combination[0], combination[1]))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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k5G3/yfmbV5e+SKGniAtP6M/5zUobUT0eD72/OIPN2ZtJsicx+6oFZMRnROIl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\nHA6oneSblKZMm1hichyJYY45rOfAHtg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gPFAbZhbtof3RwGuYEucs4FLg0URbTcD1Be7V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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1182c1b90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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1dR7iYmwJ19ghM5OyB/5d775GcVHksteL/c8/I0o6O+d/gONXTfXIUQR69wlv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\n",
"text": [
"<matplotlib.figure.Figure at 0x118387910>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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uwwgVhVj2A3xiVyFSSn0EdAM+qu4F2dnpschVK4mYCWKUa8cOKIg825gSKCVl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\n0Fq/h3XKqaIMILfcch5WLy2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"text": [
"<matplotlib.figure.Figure at 0x1181221d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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aj/2vFdgKC/HntKH8nPPjuj+Ki8k+8hBswVFNjrtuA6cDz8WXhTQru/ASnN9/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\nkviFECLJSOIXQogkI4lfCCGSjCR+IYR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"text": [
"<matplotlib.figure.Figure at 0x1180dfe50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TUNOT3nf6ftwLLFdKfQRU/GUYWut7oh2cSFx2O7Rv72X79n1JYr/9gtuk3D16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\nYZGEIYQQIiySMIQQQoRFEoYQQoiw/D/2D8EJvi3THwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1181e98d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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90f/tHuBrpdQnmOMgwFxR7v7GDk6IhOdw4GtzELadO6te8rZu06BT+g7ujOFI\nwRLQ7dTXunXwPiHzLBkZmVCwJ2hVLyMtHWuZmWh8GRm4ex7WoLj2RZs2Bj/9VF1u3VrmWUomtVUx\nVfao+z7g+8rXhRB+xQ8/Rsa9d2P9Kw9Pr8MpuaeBn53S0yn5551kPP4YFlcF3oPaU/DW+8HXvPdB\nLLt2Yf9lDb6WrSie+CBZ427AvmE9hs1O2cjR+Fq2IvWtNwAov/BiPIMGNyyufTBpUjkuVyp//GGh\nUyeDSZOkeimZRDKS+gqt9fSQ127UWk9uzMDqQXoxRZHEGV3JEGcyxAgSZ7Q1dLK+cUA2cK1SqgPV\nTxEO4GIgURKEEFFl/f13nB+9j69FLhUXXLRPPZLS/3kLKV/MhyGD4ZEnsX8yh/TpU/Ec3IXSh/6N\ndZ0m8/57MDKzKHryWfB4yLr5BiwV5RQ/+Ci+TgeT8u7b2P7cTsWpp+Pr1h3H/HnYV6/C3e84PMf2\nx77yRxxfLMTbtRuu02PfQ0ns/2qrYlqPOXGeJeSrHLi88UMTIvasa1aTM/Ji7L//Zn4aWryI4skv\n1mtt5pxTh+JYttSsi/1tI03mzMGel2eu0rZwPikLPse2fStW/+ptjkVfgM+LbY85T5Ljqy+pOPlU\nUmd/gMXnI+3VaZT/7VTS/vc61tISfE2aUHbBRaTOfBdbXh6G00npdWPM7rVCRFEkVUw9tNa/xCie\nfSFVTFF0oMeZecetpL38UlXZl5pG/rfL8fkX64lE89ZNsPqqp68OnVgvtByOz27H6vFUlb1NmmLb\nk19dDpmcz9PxYPK/X1GvRFbpQP+dR1sSxdmgKqbfAr4P3WxorTvve2hCJCYj9AZrs2HY6jkjTT1v\n0pEkjL3PGRqn9B0R0Vdb5erR/q95mO0NRwGHA48Asxs/NCFir+ya63GrQwAw7HbKz78w4gV9KrmP\nPyFoygF35y4YdjPJGIC71xH40tOryt42bfG2rL6GLyOTsosuw0gxB5h5unSl7Mqr8OXkAOBt2Yqy\nK0fjPaiduX96BuUXXb5PTw9C1KbGj0aVK8gppfpqra8O2PSiUmp5o0cmRBz4Oh1Mwfsf45zzId7W\nbXCffEq9z1H4zixSnp9M+ntv4bjwAgquGoN1+TIyXnoOT8+elI0ZDzt2kPnABHxNmlJ674Pg85F+\n711YioopufcBaN4C92lnYNv8BxWnnIbRqjXuv52KffkyXAOOx6cOoeK8EaQsnI+nx6F4ju3fCD8N\ncaCLpA3T0BydAAAcMklEQVRiGXBH5dKjSqnhwJ1a62NjEF8kpA0iiiTOfWQY5uLKATOo4naT27ZZ\nzXF6PGCz1fzJ3zDA6zXX5IxUXecMI+F+ljWQOKMrkjaISPrvjQIeV0rtUkrtBiay70uNCrHfcXy5\nkKZDB9Csd0+yR5yLbeWP5Aw/hWZHHQr9+2P9OWTqDcMg4/ZxNOtzGE37HUnqS8/vdc6U2R/QZFA/\nmvU+lOwrLoby8r32CeLxkHnDVTTr3ZOm/fvgfPP1KL5DcaCKaLpvAKVUc8zG6d2NG1K9yRNEFEmc\n9WQYNB0yAPvPq6te8rRrj33L5qqya8iJFLxdPRLa+dorZN12Mxb/354vO5v8Txbg69bd3KGigqbH\nH4P996p+IpTceDOlE2oeoZ329ONkPnhvVdnbshX5i77FaNa8zreQMD/LOkic0dXQXkxTtNZXKaUW\nhrwOZqIY2vAQhUhyHg8W/ypulSzFwTeH0O22LZurkgOAtbAQ2zpdlSAsBQVY84KPsebtpDbWP/8M\nLu/cgXXbNrwRJAghalJbFdML/n/v9X/dF/IlhHA48PTsVVU0rFa8XbsH7eI5LHiKbdegIfiaNK3e\n3rUbnv4Dqs/RogWewwLO6XTi7ndcrWG4BwzEl169Kp3n8CPwdu1Wv/ciRIjaejEt8397O/ARMFtr\nvSUmUQmRRIpenIbv/olYd+/C3fdoyq65gfRHJmFfvw5nj+4Uj/tX0P6egcdT9J+nSX3/PYyUFEpv\nvAmjabPqHaxWCqe+SsZD92MtLMA1YBAVl9Q+eYHr9OEUFxXjnPsJvrQ0Sm/5J6SmNsbbFQeQSHox\nHQucCpwCpABzMJPFt40fXkSkDSKKJM7oSoY4kyFGkDijLSpLjvoTwbdKqcnAecBdmE8VKQ2OUIh6\ncr76MinffwMHtYGb7wD/gLNYsm7+g/Qn/wMVFVQM/zvugSeQ8cgDWHf9hfuYYym/fFTMYxKiMUSy\nJvVzwADMxYIWAdf5/xUiplKnvUTmxDuxuMyFdLJ/Xkvh6+/ENoiyMrJHXoJj1QoAUuZ9irdLV1KW\nfg+A84P3ocJF+dXXxTYuIRpBJOMgcvz7aeAXYK3Wek+jRiVEGClfL65KDgD2FT9CQDkW7Ct/rEoO\nALb83djXVHdxtbhcpHyzJKYxCdFY6kwQWuuLtda9gPvxt0EopbY2emRChKici6iq3KRp8MjlWMTQ\nrj2+7Oyg14yMjOB9QrYLkawiqWI6BDjR/3Uk8B1mQ7UQMVVy50Rsv23EvnoV1pYtKf3X3TGfoM7X\nrj0lt9xB+guTobwc9/EnUP73c8h86D5zydGevSi5W3qBi/1DJJO8vIOZEB4HvtFae6NxYaVUP+AR\nrfWQkNfPBO4BPMDLWuup0bieSH5GixYUzJyNZU8+LTofhCu/LC5xlF93I+VXXoWlohwj23yqyT/1\ndCxFhRhNmsqsqmK/EUkvpsOjfVGl1O3AJUBxyOsOzETUFygFliilPtRa1z6MVBw4LBZzzEA9JrBL\nefN17HotpdeNgTBTd1tXryL1zddxnXgynqEn7X0CjwfHF/PBbsc9aIi5BKnTieF0Vu9jtweNZbBu\n2Yx96fdw0gmQ2QLLnnwci77Ae3AXvL2i/iclRKOo50ooUbMeOAf4b8jrPYD1WusCAKXUYmAQ8F5s\nwxP7i5xThuJYbi7/mfbyS+TP+gRf7z5V251TXyDrnn9h8XpJn/IC5edeQPFzU6pP4HaTfdmFOOfP\nwwAqzvg7RVNfrXWdasdnH5N12zhsf26H1q1xXj+WtDdew6HX4kvPoPTmWyi7+dbGe9NCREn9V2OP\nAq31TMwqpFDZQEFAuQizF5UQ9WZd/2tVcgCwlpeTPX5M0D4ZT/wfFq9Za2oBnB/OCtqe+t/pOOfP\nq94++wNSPphZ63XTXnzOTA4Af/5JxtNP4NBrzRhKS0h7ZUrMe18JsS9qm6zvBKDGYdZa68YYC1EA\nZAWUs4D8GvatkpubVdcuCUHijK4649zk2+slB77g44zgfaxGyHZb8HYLkGP1Qq3XDj7G5gtutrN5\nPOQ2SYWQ3k/xtN/8zhNEssRZl9qqmO6jlgQBDKll275aC3RTSjUFSjCrlx6r66AkGdYucUZRRHG2\n70bTNm2xb98GmBPpFY26loqA4zJOOZ2011/FQvVyoAUB2y1nnkfOq6/hWP0TAK4+fSk46Qyo5dqp\np5xBxvIfsZaWQGoqZSefRsr8udjydmIA5Sf9jeJSH5Qmxs95v/qdJ4BkirMutU3WNziawdTAAFBK\njQAytdZTlFLjgc8wq7+maa23xyAOsT+yWsn/bgVZ147CunsXpaOvxj38nKBdSh5/Bm+ng3HO+wzv\nIT0ofuzJoO1Gs2YUvD2L1FenYbFaKRt9TZ2f/Muvvh5fh47Yf1xORv9jKD7hb9iXfk/K/Ln4Wram\n/PIro/5WhWgMkUzWdzxwG5CBedO2AR201p0aPbrIyGR9USRxRlcyxJkMMYLEGW3RWnJ0KjAL82lj\nMvAr8ETDQhNCCJHoIkkQZVrrl4EvMRuMrwLObdSohBBCxF1ECUIp1Qxzsr5jMdsNchs1KiGEEHEX\nSYJ4HHO6jQ+By4E1wPLGDEoIIUT8RTKSej4wQ2vtU0r1AboDMt23EELs52obKNce8wljDnCaUqpy\nUwHwMXBIo0cnhBAibmp7grgfGAy0xWygruQBZjdiTEIIIRJAbQPlRgIope7QWj8Su5CEEEIkgkja\nIJ5QSt0FKGCs/+sRrbXMNiaEEPuxSHoxPQtkAn0wq5e6AdMaMyghhBDxF0mC6KO1/hfg0loXA5cB\nvRs3LCGEEPEWSYLwKaVSAsotCJ3PWAghxH4nkgTxFPA50Fop9RSwDHiy9kOEEEIku0jWpH5NKbUM\ns8urDThDa72qsQMTQggRX3U+Qfirl04GTsFcJKifUqrOaWKFEEIkt0i6uU4FUoGXMJ8gLgMOA25q\nxLiEEELEWSQJ4high9a6cvW3DzEn7BNCCLEfi6SRegvQOaDcEtjWOOEIIYRIFJE8QQCsVEp9jjlQ\nbgiwVSn1CWBorU9rtOiEEELETSQJ4sGQ8uSA72tf0FrExNdbF/P8ysl4DQ/ndD2fc9X58Q5JCLEf\niKSb6xcxiEPso+3F2xiz4Do2F20C4Ift39E6sw0DDzo+zpEJIZJdJG0QIoEt3rqoKjkAFLgK+Gbb\n4jhGJITYX0iCSHK9WhxOjjOnquywOOic0yWOEQkh9heRNlKLBHVI80O585iJvLJ6Cm6fi9M6D+cf\n3aUNQgjRcDFPEEopK/AccDhQAYzWWm8I2D4OGAXk+V+6Rmu9LtZxJpORvUYzstfoeIchhNjPxOMJ\n4iwgRWvdXynVD/iP/7VKvYFLtdY/xiG2/YJhGMxaP4NtxVs59eAz6NxEqpyEEPUXjzaIAcCnAFrr\n74C+Idv7AHcqpb5SSt0R6+D2B3csuoXrP7+K+765h/M/OosVO5bHOyQhRBKKR4LIBgoDyl5/tVOl\nN4FrgKHAQKXU6bEMLtkVVhQwa/0MvIYXgD+KNjF9jSwAKISov3hUMRUCWQFlq9Y6cAGip7TWhQBK\nqTnAUcCc2k6Ym5tV2+aEEYs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F5iilBgEnAuMx5+5P8x/7VQTX7Yq5FklzoBRzWucV/kkE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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1182c10d0>"
]
}
],
"prompt_number": 64
}
],
"metadata": {}
}
]
}
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