{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import make_blobs\n", "from sklearn.utils import shuffle" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rng = np.random.RandomState(42)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n_samples = int(1e5)\n", "n_signal_samples = int(0.9 * n_samples)\n", "n_noise_samples = n_samples - n_signal_samples\n", "n_features = 2\n", "\n", "signal, labels = make_blobs(n_samples=n_signal_samples, n_features=n_features,\n", " cluster_std=0.1, centers=500,\n", " random_state=rng)\n", "noise = rng.uniform(low=-15, high=15, size=(n_noise_samples, n_features))\n", "\n", "data = np.vstack([signal, noise])\n", "labels = np.concatenate([labels, [-1] * noise.shape[0]])\n", "data, labels = shuffle(data, labels, random_state=rng)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def plot_data_with_labels(data, labels, alpha=0.3, cm=plt.cm.prism, subsample=int(5e4),\n", " title=None, random_state=0):\n", " n_samples = data.shape[0]\n", " \n", " if title is None:\n", " title = \"Scatter plot of the first 2 dimensions\"\n", "\n", " if n_samples > subsample:\n", " idx = shuffle(np.arange(n_samples), random_state=random_state)[:subsample]\n", " data = data[idx]\n", " labels = labels[idx]\n", "\n", " plt.figure(figsize=(10, 10))\n", " plt.xlim(-12, 12)\n", " plt.ylim(-12, 12)\n", "\n", " unique_labels = np.unique(labels)\n", " colors = cm(np.linspace(0, 1, len(unique_labels)))\n", " for l, c in zip(unique_labels, colors):\n", " if l == -1:\n", " c = 'b'\n", " data_l = data[labels == l]\n", " plt.scatter(data_l[:, 0], data_l[:, 1], alpha=alpha,\n", " facecolors=c, edgecolors='none')\n", " plt.title(title)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlMAAAJZCAYAAACN2rCOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmcXNd13/k9Xb2jF6CxEzsIAiBBgQRXcZFpSd4YyzZj\n", "2Y4048RxlDifjGNNxmPHy8xIspxYsaN84sixnbEdS7aVkSzLsmQpJmWJFPcFBFcQBIh9Z2NHo9F7\n", "d53545zb79XrWl5t3Q2qfvzgw66qV+/deu/ec39nF1WlgQYaaKCBBhpooIHK0DTXA2iggQYaaKCB\n", "Bhq4ltEgUw000EADDTTQQANVoEGmGmiggQYaaKCBBqpAg0w10EADDTTQQAMNVIEGmWqggQYaaKCB\n", "BhqoAg0y1UADDTTQQAMNNFAFGmSqgQa+SyEiWRHZOEvX+qyIXBSR51Me/zkR+c0aXXu5iDwpIldE\n", "5NMi8msi8se1OHetISL/VESeir0eFJH1czeiXMzne9dAA3OJBplqoIEiEJH7ReRZEbksIhdE5GkR\n", "uaPKc+ZsmP5ezchDrZFvvGV+/z3A9wHXqeq7U55f/V8t8HPAWVXtUdVfUtVPqeq/qOREIvK4iHyk\n", "yOebReRrInLW58sjIrK50oGrareqHq30+7VGNfeugQbeyWiQqQYaKAAR6QG+AfwXYBGwCvgNYGwu\n", "x5UPIpKZ6zEUwTrgqKqOzuH196Y5UESaSxxSiuD1Al8FNgPLgZ3A19Jcu4EGGriGoaqNf41/jX95\n", 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normalized_mutual_info_score\n", "from sklearn.metrics.cluster import adjusted_rand_score\n", "\n", "print(\"NMI DBSCAN: %0.3f\"\n", " % normalized_mutual_info_score(labels, dbscan_labels))\n", "print(\"ARI DBSCAN: %0.3f\"\n", " % adjusted_rand_score(labels, dbscan_labels))" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "445\n" ] } ], "source": [ "unique_dbscan_labels = np.unique(dbscan_labels)\n", "print(len(unique_dbscan_labels))" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlMAAAJZCAYAAACN2rCOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXeUJflV5/m5z+RLn5WmTJb3Ve2qutpbeZA0SAjQyCIk\n", "GJaZYdgxnOUAGpZddpdzAIlh2WWBhV1pNThJWIEYIaH2Vt1d3V22y3uX5dPb995v/7g3MuJFPm8y\n", "s1rxPadOZTwT8XsRv9/9XfO994pzjggRIkSIECFChAjVIbbQA4gQIUKECBEiRLiVESlTESJEiBAh\n", 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"plot_data_with_labels(data, dbscan_labels, title='DBSCAN')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Mini Batch K-Means" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 7.51 s, sys: 411 ms, total: 7.92 s\n", "Wall time: 7.62 s\n" ] } ], "source": [ "%%time\n", "from sklearn.cluster import MiniBatchKMeans\n", "\n", "mbkmeans = MiniBatchKMeans(n_clusters=500,\n", " init_size=int(1e4),\n", " batch_size=int(1e3))\n", "mbkmeans_labels = mbkmeans.fit_predict(data)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NMI MB K-Means: 0.890\n", "ARI MB K-Means: 0.212\n" ] } ], "source": [ "print(\"NMI MB K-Means: %0.3f\"\n", " % normalized_mutual_info_score(labels, mbkmeans_labels))\n", "print(\"ARI MB K-Means: %0.3f\"\n", " % adjusted_rand_score(labels, mbkmeans_labels))" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlMAAAJZCAYAAACN2rCOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXtwXfd13/tZeJMESRAgCfEJCiIkSKJ0TFuWrSPbsWkn\n", "tps27JR1oLRF0rnmba9mOhlOYrDM3OvQSjoJS7gtO7ct/4hu0ha5N0ISJmWdxnYs05IoHr1FHZEU\n", "IYIECT5AgiRAkAQJ4rnuH2tv7HM2zvsBgPL+znCIvc8+e++z9++xfmt913eJqhIgQIAAAQIECBAg\n", "N5TM9Q0ECBAgQIAAAQLczwiMqQABAgQIECBAgDwQGFMBAgQIECBAgAB5IDCmAgQIECBAgAAB8kBg\n", "TAUIECBAgAABAuSBwJgKECBAgAABAgTIA4ExFSBAgLQQkf0i8n8V+thCQkS+LCIXZvu6AQIECBAY\n", "UwEC/JxDRM6JyKiI1Pn2HxWRKRFZr6rPq+q/yeR8scc6Bs6UiNx2/l0Uke9lcW/fE5GOrH5Q8nP9\n", "VxH5/Zjtx0Xksoj8lrOd9jkU4j4CBAjwyUNgTAUIEECBHuDX3B0i8gSwwPksX1xS1cWquhj4AvBt\n", "EdlagPNmC3X+ISKbgUPA76nqv4/5vJjPIUCAAJ9QBMZUgAABAP4U+PWY7d8A/jsggMR6dRxv00UR\n", "+S0R6ReRPhH55+4X/R6gWKjqOSACPBpz/H8UkfMiclNE3hWRLzj7vwH8DtDieLWOOvtrReRPROSS\n", 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"metadata": {}, "source": [ "## Birch" ] }, { "cell_type": "code", "execution_count": 87, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 6.74 s, sys: 381 ms, total: 7.12 s\n", "Wall time: 6.83 s\n" ] } ], "source": [ "%%time\n", "from sklearn.cluster import Birch\n", "\n", "birch = Birch(threshold=0.5, n_clusters=500)\n", "birch_labels = birch.fit_predict(data)" ] }, { "cell_type": "code", "execution_count": 100, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NMI Birch: 0.832\n", "ARI Birch: 0.170\n" ] } ], "source": [ "print(\"NMI Birch: %0.3f\"\n", " % normalized_mutual_info_score(labels, birch_labels))\n", "print(\"ARI Birch: %0.3f\"\n", " % adjusted_rand_score(labels, birch_labels))" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ 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"print(len(birch.subcluster_centers_))" ] }, { "cell_type": "code", "execution_count": 101, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 753 ms, sys: 12.4 ms, total: 766 ms\n", "Wall time: 774 ms\n" ] } ], "source": [ "%%time\n", "birch.set_params(n_clusters=10)\n", "birch.partial_fit()" ] }, { "cell_type": "code", "execution_count": 102, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.16 s, sys: 318 ms, total: 1.48 s\n", "Wall time: 1.13 s\n" ] } ], "source": [ "%%time\n", "birch_labels_small = birch.predict(data)" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAlMAAAJZCAYAAACN2rCOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXmQHVl23vc7tWLf8QA0GlsD3eie7kYv2cv09CwcDpcZ\n", 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"source": [ "plot_data_with_labels(data, birch_labels_small,\n", " title='Birch (10 clusters)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Batch K-Means" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [], "source": [ "# %%time\n", "# from sklearn.cluster import KMeans\n", "\n", "# kmeans = KMeans(n_clusters=500, n_jobs=10)\n", "# kmeans_labels = kmeans.fit_predict(data)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# print(\"NMI K-Means: %0.3f\"\n", "# % normalized_mutual_info_score(labels, kmeans_labels))\n", "# print(\"ARI K-Means: %0.3f\"\n", "# % adjusted_rand_score(labels, kmeans_labels))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# plot_data_with_labels(data, kmeans_labels)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data_source = None\n", "\n", "def iter_chunks(data_source, batch_size=1000):\n", " for i in range(int(1e5) // batch_size):\n", " yield np.random.randn(batch_size, 2)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.cluster import Birch\n", "\n", "birch = Birch(threshold=0.1, n_clusters=None)\n", "\n", "for X_chunk in iter_chunks(data_source, batch_size=10000):\n", " birch.partial_fit(X_chunk)" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1437\n" ] } ], "source": [ "print(len(birch.subcluster_centers_))" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.83 s, sys: 31.1 ms, total: 1.86 s\n", "Wall time: 1.86 s\n" ] } ], "source": [ "%%time\n", "birch.set_params(n_clusters=10)\n", "birch.partial_fit() # trigger the global clustering" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "10" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(np.unique(birch.predict(data)))" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1.86 s, sys: 30.3 ms, total: 1.89 s\n", "Wall time: 1.93 s\n" ] } ], "source": [ "%%time\n", "birch.set_params(n_clusters=3)\n", "birch.partial_fit() # trigger the global clustering" ] }, { "cell_type": "code", "execution_count": 85, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(np.unique(birch.predict(data)))" ] }, { "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": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }