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@flying-sheep
Last active December 31, 2015 15:09
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"\n",
"from sklearn.mixture import GMM"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xy = np.r_[multivariate_normal((1, 2), [[1, 0], [.4, .6]], 1000),\n",
" multivariate_normal((3, 4), [[.6, 1], [.3, 1]], 1000)]\n",
"x, y = xy.T\n",
"\n",
"gmm = GMM(2).fit(xy)\n",
"scatter(x, y, color=cm.Set2(gmm.predict(xy) / 2))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 69,
"text": [
"<matplotlib.collections.PathCollection at 0x7f840f707b90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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YuJpusP7OD5JTkG69LkSklHy36RgHeppS3s+1OfniHU8A8EL7OZ67chYzkWU4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\nlLopYq61ITFdKc+PcOOSJR823/9fYZ0ZwvRIF3ieR0ZBI3SLFhB9Xhd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"text": [
"<matplotlib.figure.Figure at 0x7f8414242910>"
]
}
],
"prompt_number": 69
}
],
"metadata": {}
}
]
}
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