Created
March 17, 2017 10:12
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KMeans with Numpy
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"from sklearn.datasets import load_iris" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# 쓰레기 데이터(iris) 불러오기\n", | |
"data = load_iris()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"(150, 4) (150,)\n" | |
] | |
} | |
], | |
"source": [ | |
"X = data.data\n", | |
"y = data.target\n", | |
"print(X.shape, y.shape)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"def find_closet_centroids(X, centroids):\n", | |
" \"\"\"Calculate dist from X to centroid and return the closest centroid idx\n", | |
" \n", | |
" Args:\n", | |
" X (np.array): (m, d)\n", | |
" centroids (np.array): (K, d)\n", | |
" \n", | |
" Returns:\n", | |
" idx (np.array): (m, 1) # each sample belong to one cluster\n", | |
" \"\"\"\n", | |
" m, d = X.shape \n", | |
" dist = X.reshape(m, 1, d) - centroids \n", | |
" dist_sq = np.sum(np.square(dist), 2) \n", | |
" idx = np.argmin(dist_sq, axis=1) \n", | |
" \n", | |
" return idx\n", | |
"\n", | |
"def compute_centroid(X, idx, K):\n", | |
" \"\"\"Calculate centroids\n", | |
" \n", | |
" Args:\n", | |
" X (np.arrau): (m, d)\n", | |
" idx (np.array): (m, 1)\n", | |
" K (int): K - means\n", | |
" \n", | |
" Returns:\n", | |
" centroids (np.array): (K, d)\n", | |
" \"\"\"\n", | |
" m, d = X.shape\n", | |
" centroids = np.zeros(shape=(K, d))\n", | |
" for i in range(K):\n", | |
" target = X[idx==i]\n", | |
" centroids[i] = np.mean(target, axis=0)\n", | |
" return centroids" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"class KMeans:\n", | |
" def __init__(self, max_iter, K):\n", | |
" self.max_iter = max_iter\n", | |
" self.K = K\n", | |
" \n", | |
" self.centroids = None\n", | |
" self.centroids_history = []\n", | |
" self.idx_history = []\n", | |
" \n", | |
" def init_centroids(self, X):\n", | |
" \"\"\" Initial Centorid are random points of X\n", | |
" \"\"\"\n", | |
" m, d = X.shape\n", | |
" choices = np.random.choice(range(m), replace=False, size=self.K)\n", | |
" self.centroids_history.append(X[choices, :])\n", | |
" return X[choices, :]\n", | |
" \n", | |
" def fit(self, X):\n", | |
" \"\"\" Runs K-means\n", | |
" \"\"\"\n", | |
" m, d = X.shape\n", | |
" self.centroids = self.init_centroids(X)\n", | |
" \n", | |
" for i in range(self.max_iter):\n", | |
" idx = find_closet_centroids(X, self.centroids) \n", | |
" self.centroids = compute_centroid(X, idx, self.K)\n", | |
" self.centroids_history.append(self.centroids)\n", | |
" self.idx_history.append(idx)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"MAX_ITERATION = 1000\n", | |
"K = 3\n", | |
"\n", | |
"kmeans = KMeans(MAX_ITERATION, K)\n", | |
"kmeans.fit(X)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def animate(i):\n", | |
" \"\"\" Plot at i step\n", | |
" \n", | |
" Warning: Data is in 4-d but plot in 2d\n", | |
" \"\"\"\n", | |
" fig = plt.figure()\n", | |
" axes = fig.add_subplot(111)\n", | |
" axes.scatter(X[:, 0], X[:, 1], c = kmeans.idx_history[i], alpha = 0.3)\n", | |
" centroids = kmeans.centroids_history[i]\n", | |
" axes.scatter(centroids[:, 0], centroids[:, 1], c = range(K), marker='^', s=100) \n", | |
" plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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zOI7D8W+cAUPMXWu4uY733jhPIpqs2rU+ymwq5459BYyG8pmDaAJ7wC0CWgal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\nkCV3Y4wpQpbcjTGmCFlyN8aYIvT/AQ3DI3CyNy+iAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10ddd4358>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10de54ba8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10dfc80f0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10df0e470>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\nJa4XZ6EIAxUiEgYqgctL7v8cwRs/wHPAwczKeFkp+uQO/A/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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10deba550>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10dfcd518>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10deedb70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e295320>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10e0da780>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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1LELYzsIqvA7F71Db0NRasPxfRnM0r4aINBeQpR/YBccAhI50fRTNcWfH8bhy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\njClC/x+HIf8Z0ab5+AAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10df0e1d0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"step = MAX_ITERATION//10\n", | |
"for i in range(0, MAX_ITERATION, step):\n", | |
" animate(i)" | |
] | |
} | |
], | |
"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": "3.6.0" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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