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追試: Gao, Weihao, et al. "Estimating mutual information for discrete-continuous mixtures." Advances in Neural Information Processing Systems. 2017.
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import pandas as pd\n", | |
"import sklearn.datasets\n", | |
"from scipy.special import digamma\n", | |
"import matplotlib.pyplot as plt\n", | |
"% matplotlib inline\n", | |
"import matplotlib\n", | |
"matplotlib.rcParams['pdf.fonttype'] = 42\n", | |
"import seaborn as sns\n", | |
"sns.set_style('ticks')\n", | |
"palette = sns.color_palette(\"RdBu_r\", n_colors=25)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"data = sklearn.datasets.load_iris()\n", | |
"df = pd.DataFrame(data.data, columns=list(data.feature_names))\n", | |
"df['target'] = data.target\n", | |
"X = df.values" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<seaborn.axisgrid.PairGrid at 0x7fe84855dda0>" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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M+OgJ/7KqoirkCj7oVk4CDtTCfP+/UFVUhRlbZ/jXqS6qhk/wYfrm6YFlY6sx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\nRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fe80b039978>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"sns.pairplot(df, hue='target')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def mi_knn(X, Y, k=3):\n", | |
" n, d_x = X.shape\n", | |
" _, d_y = Y.shape\n", | |
" distances_x = np.linalg.norm(X - X.reshape([n, -1, d_x]), axis=2)\n", | |
" distances_y = np.linalg.norm(Y - Y.reshape([n, -1, d_y]), axis=2)\n", | |
" distances = np.max([distances_x, distances_y], axis=0)\n", | |
" epsilons = np.sort(distances, axis=1)[:, k] # 自身を除いて k 番目だけど 0 始まりだからこれでいい\n", | |
" idx_discrete = np.isclose(epsilons, 0)\n", | |
" ks = np.repeat(k, n)\n", | |
" ks[idx_discrete] = np.sum(np.isclose(distances[idx_discrete], 0), axis=1) - 1 # 自身を除く\n", | |
" n_x = np.sum(distances_x <= epsilons, axis=0) - 1 # 自身と k 近傍を含み本来の値より 2 大きいので\n", | |
" n_y = np.sum(distances_y <= epsilons, axis=0) - 1 # 1 を引いて (n_x + 1), (n_y + 1) にする\n", | |
" mi = np.log(n) + np.mean(digamma(ks) - np.log(n_x * n_y))\n", | |
" return mi" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n, d = X.shape\n", | |
"mis = np.eye(d)\n", | |
"for i, j in [(i, j) for i in range(d) for j in range(d) if i != j]:\n", | |
" x = X[:, [i]]\n", | |
" y = X[:, [j]]\n", | |
" mis[i, j] = mi_knn(x, y, k=3)\n", | |
"\n", | |
"mis[mis < 0] = 0\n", | |
"mis[np.eye(d, dtype=bool)] = np.nan" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.axes._subplots.AxesSubplot at 0x7fe8050c6588>" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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U4KsY/+aLvH7NGOe4yIEDaDxZR8Xu/R7Iex5DdDraXd6VLXfcS4ApgsEr3+LrMRPR6PR0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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7fe8050227b8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[4, 4])\n", | |
"sns.heatmap(mis, annot=True, center=0, cmap=palette, cbar=False)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "py36", | |
"language": "python", | |
"name": "py36" | |
}, | |
"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 | |
} |
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