{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Unsupervised Methods ##" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import pandas as pd\n", "import numpy as np\n", "import scipy as sp\n", "import scipy.sparse as ss\n", "import matplotlib.pyplot as plt\n", "import pylab as pl\n", "from sklearn.decomposition import PCA\n", "from sklearn.cluster import KMeans\n", "from sklearn.cluster import Ward\n", "from sklearn.preprocessing import Binarizer\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Dataset imported from R using write.csv(USArrests, \"/tmp/USArrests.csv\", row.names=FALSE)\n", "# Each row in this dataset corresponds to one of the 50 US states.\n", "usa_df = pd.read_csv(\"../data/USArrests.csv\")\n", "usa_df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
StateMurderAssaultUrbanPopRape
0 Alabama 13.2 236 58 21.2
1 Alaska 10.0 263 48 44.5
2 Arizona 8.1 294 80 31.0
3 Arkansas 8.8 190 50 19.5
4 California 9.0 276 91 40.6
\n", "

5 rows \u00d7 5 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ " State Murder Assault UrbanPop Rape\n", "0 Alabama 13.2 236 58 21.2\n", "1 Alaska 10.0 263 48 44.5\n", "2 Arizona 8.1 294 80 31.0\n", "3 Arkansas 8.8 190 50 19.5\n", "4 California 9.0 276 91 40.6\n", "\n", "[5 rows x 5 columns]" ] } ], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "usa_df.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
MurderAssaultUrbanPopRape
count 50.00000 50.000000 50.000000 50.000000
mean 7.78800 170.760000 65.540000 21.232000
std 4.35551 83.337661 14.474763 9.366385
min 0.80000 45.000000 32.000000 7.300000
25% 4.07500 109.000000 54.500000 15.075000
50% 7.25000 159.000000 66.000000 20.100000
75% 11.25000 249.000000 77.750000 26.175000
max 17.40000 337.000000 91.000000 46.000000
\n", "

8 rows \u00d7 4 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ " Murder Assault UrbanPop Rape\n", "count 50.00000 50.000000 50.000000 50.000000\n", "mean 7.78800 170.760000 65.540000 21.232000\n", "std 4.35551 83.337661 14.474763 9.366385\n", "min 0.80000 45.000000 32.000000 7.300000\n", "25% 4.07500 109.000000 54.500000 15.075000\n", "50% 7.25000 159.000000 66.000000 20.100000\n", "75% 11.25000 249.000000 77.750000 26.175000\n", "max 17.40000 337.000000 91.000000 46.000000\n", "\n", "[8 rows x 4 columns]" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Components ###\n", "\n", "From the output of describe(), Assault has larger variance compared to other features. This would make Assault dominate the Principal component, so we should standardize the variables." ] }, { "cell_type": "code", "collapsed": false, "input": [ "collist = usa_df.columns[1:]\n", "X = usa_df[collist].values\n", "Xdiv = np.linalg.norm(X, ord=2, axis=1)\n", "usa_df[collist] = X / Xdiv[:, None]\n", "usa_df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
StateMurderAssaultUrbanPopRape
0 Alabama 0.054031 0.966016 0.237411 0.086778
1 Alaska 0.036872 0.969739 0.176987 0.164081
2 Arizona 0.026439 0.959624 0.261122 0.101185
3 Arkansas 0.044528 0.961392 0.252998 0.098669
4 California 0.030657 0.940134 0.309972 0.138295
\n", "

5 rows \u00d7 5 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ " State Murder Assault UrbanPop Rape\n", "0 Alabama 0.054031 0.966016 0.237411 0.086778\n", "1 Alaska 0.036872 0.969739 0.176987 0.164081\n", "2 Arizona 0.026439 0.959624 0.261122 0.101185\n", "3 Arkansas 0.044528 0.961392 0.252998 0.098669\n", "4 California 0.030657 0.940134 0.309972 0.138295\n", "\n", "[5 rows x 5 columns]" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "usa_df.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
MurderAssaultUrbanPopRape
count 50.000000 50.000000 50.000000 50.000000
mean 0.040677 0.881704 0.409630 0.119341
std 0.015018 0.101645 0.166944 0.035642
min 0.012626 0.473419 0.132112 0.042620
25% 0.027485 0.850453 0.279234 0.092741
50% 0.039406 0.907323 0.395010 0.117441
75% 0.049811 0.952031 0.508929 0.139552
max 0.079346 0.989371 0.854213 0.207893
\n", "

8 rows \u00d7 4 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ " Murder Assault UrbanPop Rape\n", "count 50.000000 50.000000 50.000000 50.000000\n", "mean 0.040677 0.881704 0.409630 0.119341\n", "std 0.015018 0.101645 0.166944 0.035642\n", "min 0.012626 0.473419 0.132112 0.042620\n", "25% 0.027485 0.850453 0.279234 0.092741\n", "50% 0.039406 0.907323 0.395010 0.117441\n", "75% 0.049811 0.952031 0.508929 0.139552\n", "max 0.079346 0.989371 0.854213 0.207893\n", "\n", "[8 rows x 4 columns]" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variances are now comparable. Before doing PCA, we compute similarities between the states and represent as a heatmap. Since the matrix is already normalized, cosine similarity can be computed as a product of X and its transpose (the ||x|| and ||y|| are already built in because of the normalization)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = usa_df[collist].values\n", "cosim = np.matrix(X) * np.matrix(X.T)\n", "cosim" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "matrix([[ 1. , 0.99503239, 0.99921399, ..., 0.97860009,\n", " 0.7958759 , 0.99326328],\n", " [ 0.99503239, 1. , 0.99437703, ..., 0.96276683,\n", " 0.76073097, 0.9820459 ],\n", " [ 0.99921399, 0.99437703, 1. , ..., 0.98283719,\n", " 0.81122097, 0.99575786],\n", " ..., \n", " [ 0.97860009, 0.96276683, 0.98283719, ..., 1. ,\n", " 0.90312329, 0.99546599],\n", " [ 0.7958759 , 0.76073097, 0.81122097, ..., 0.90312329,\n", " 1. , 0.86017937],\n", " [ 0.99326328, 0.9820459 , 0.99575786, ..., 0.99546599,\n", " 0.86017937, 1. ]])" ] } ], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "def heatmap(X, labels):\n", " \"\"\" Based on this stack overflow discussion \"\"\"\n", " \"\"\" http://stackoverflow.com/questions/14391959/heatmap-in-matplotlib-with-pcolor \"\"\"\n", " fig, ax = plt.subplots()\n", " heatmap = ax.pcolor(X, cmap=plt.cm.Blues, alpha=0.8)\n", " # Format\n", " fig = plt.gcf()\n", " fig.set_size_inches(8, 11)\n", " # turn off the frame\n", " ax.set_frame_on(False)\n", " # put the major ticks at the middle of each cell\n", " ax.set_yticks(np.arange(X.shape[0]) + 0.5, minor=False)\n", " ax.set_xticks(np.arange(X.shape[1]) + 0.5, minor=False)\n", " # want a more natural, table-like display\n", " ax.invert_yaxis()\n", " ax.xaxis.tick_top()\n", " # Set the labels\n", " ax.set_xticklabels(labels, minor=False)\n", " ax.set_yticklabels(labels, minor=False)\n", " # rotate the xticks\n", " plt.xticks(rotation=90)\n", " ax.grid(False)\n", " # Turn off all the ticks\n", " ax = plt.gca()\n", " for t in ax.xaxis.get_major_ticks():\n", " t.tick1On = False\n", " t.tick2On = False\n", " for t in ax.yaxis.get_major_ticks():\n", " t.tick1On = False\n", " t.tick2On = False\n", "\n", "heatmap(np.array(cosim), usa_df[\"State\"].values)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAALGCAYAAADlbPM2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYSQZkWDD0IIIYQ0q/8HPb+jMbMrOCcAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "# PCA seems to consider each row as a component. So doing a PCA.fit(X) will decompose\n", "# our 50x4 matrix to 2x4. So we need to fit the transpose of X (4x50) and transpose the \n", "# resulting principal components 2x50.\n", "pca = PCA(n_components=2)\n", "pca.fit(X.T)\n", "print \"Explained variance:\", pca.explained_variance_ratio_\n", "X_pr = pca.components_.T\n", "X_pr[0:5, :]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Explained variance: [ 0.93412764 0.06465589]\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "array([[ 0.15422962, -0.12628851],\n", " [ 0.15000496, -0.17607116],\n", " [ 0.1550715 , -0.10258781],\n", " [ 0.15364218, -0.11332485],\n", " [ 0.14892486, -0.06991918]])" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# Calculate cosine similarity using X_pr and plot a heat map\n", "X_pdiv = np.linalg.norm(X_pr, ord=2, axis=1)\n", "X_prn = X_pr / X_pdiv[:, None]\n", "cosim_p = np.matrix(X_prn) * np.matrix(X_prn.T)\n", "cosim_p" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "matrix([[ 1. , 0.98401382, 0.99483635, ..., 0.66265268,\n", " -0.39006555, 0.90240887],\n", " [ 0.98401382, 1. , 0.96085777, ..., 0.51868141,\n", " -0.54781484, 0.81124632],\n", " [ 0.99483635, 0.96085777, 1. , ..., 0.73524112,\n", " -0.29459879, 0.94148013],\n", " ..., \n", " [ 0.66265268, 0.51868141, 0.73524112, ..., 1. ,\n", " 0.43112418, 0.92068183],\n", " [-0.39006555, -0.54781484, -0.29459879, ..., 0.43112418,\n", " 1. , 0.04475082],\n", " [ 0.90240887, 0.81124632, 0.94148013, ..., 0.92068183,\n", " 0.04475082, 1. ]])" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "heatmap(np.array(cosim_p), usa_df[\"State\"].values)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAh8AAALGCAYAAADlbPM2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nig8RERGx1R/lHysgKcfh3wAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting heatmap after PCA has more distinct similarities, which is expected, since PCA tends to highlight the differences. The R example shows a biplot. I couldn't find an example of a biplot in Matplotlib, and in any case, I didn't find the biplot to be as compelling a visual as a heatmap, so went for a heatmap instead.\n", "\n", "### K-Means Clustering ###\n", "\n", "For illustration and visualization purposes, the example is restricted to 2 dimensions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = np.random.rand(100, 2)\n", "X_mean = 8 + (4 * np.random.rand(4, 2)) # N(8,4)\n", "which = np.random.choice(np.array([0,1,2,3]), size=100, replace=True)\n", "for i in range(0, X.shape[0]):\n", " X[i] = X[i] + X_mean[which[i], :]\n", "\n", "# Plot the points\n", "fig, ax = plt.subplots()\n", "ax.scatter(X[which == 0][:, 0], X[which == 0][:, 1], c='blue')\n", "ax.scatter(X[which == 1][:, 0], X[which == 1][:, 1], c='green')\n", "ax.scatter(X[which == 2][:, 0], X[which == 2][:, 1], c='red')\n", "ax.scatter(X[which == 3][:, 0], X[which == 3][:, 1], c='cyan')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nL06vJiARSojVAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now cluster these points using K-Means (we use the which values to evaluate the performance later)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "kmeans = KMeans(n_clusters=4, n_init=15)\n", "kmeans.fit(X)\n", "ypred = kmeans.predict(X)\n", "\n", "# Print confusion matrix. Note that the matrix is not aligned because we don't know\n", "# the correspondence between the assigned cluster and the generated cluster, but the\n", "# matrix should show one high value per row and/or column.\n", "confusion_matrix = np.zeros((4, 4))\n", "for i in range(0, which.shape[0]):\n", " actual = which[i]\n", " predicted = ypred[i]\n", " confusion_matrix[actual, predicted] = confusion_matrix[actual, predicted] + 1\n", "print confusion_matrix\n", "\n", "# Plot points with cluster centers (marked with +)\n", "fig, ax = plt.subplots()\n", "ax.scatter(X[which == 0][:, 0], X[which == 0][:, 1], c='blue')\n", "ax.scatter(X[which == 1][:, 0], X[which == 1][:, 1], c='green')\n", "ax.scatter(X[which == 2][:, 0], X[which == 2][:, 1], c='red')\n", "ax.scatter(X[which == 3][:, 0], X[which == 3][:, 1], c='cyan')\n", "for cc in kmeans.cluster_centers_:\n", " ax.plot(cc[0], cc[1], marker='+', color='black', markersize=20)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[[ 0. 0. 16. 0.]\n", " [ 28. 0. 0. 2.]\n", " [ 0. 0. 1. 25.]\n", " [ 0. 28. 0. 0.]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hierarchical Clustering ###\n", "\n", "We reuse the same data to demonstrate Hierarchical Clustering. R has many more options in this area than Scikit-Learn. The only algorithm available is Ward algorithm - one of the 7 methods available in R's hclust() function.\n", "\n", "R also has a built-in plot() method which prints out the dendogram for the clustering. It is [possible to draw a dendogram](http://stackoverflow.com/questions/11917779/how-to-plot-and-annotate-hierarchical-clustering-dendrograms-in-scipy-matplotlib) using data returned " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# produce a connectivity matrix based on cosine similarity\n", "norms = np.linalg.norm(X, ord=2, axis=1)\n", "X_n = X / norms[:, None]\n", "cosim = np.matrix(X_n) * np.matrix(X_n.T)\n", "binarizer = Binarizer(threshold=0.5).fit_transform(cosim)\n", "cosim_sparse = ss.csr_matrix(cosim)\n", "\n", "# run the clustering\n", "ward = Ward(n_clusters=4, connectivity=cosim_sparse)\n", "ypred = ward.fit_predict(X)\n", "\n", "# compute the confusion matrix for hierarchical clustering\n", "confusion_matrix = np.zeros((4, 4))\n", "for i in range(0, which.shape[0]):\n", " actual = which[i]\n", " predicted = ypred[i]\n", " confusion_matrix[actual, predicted] = confusion_matrix[actual, predicted] + 1\n", "confusion_matrix" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "array([[ 16., 0., 0., 0.],\n", " [ 0., 0., 24., 6.],\n", " [ 1., 0., 0., 25.],\n", " [ 0., 28., 0., 0.]])" ] } ], "prompt_number": 14 } ], "metadata": {} } ] }