{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Source available on [Nbviewer](http://nbviewer.ipython.org/github/stephanie-w/brainscribble/blob/master/source/classification-algorithms-on-iris-dataset.ipynb)." ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from matplotlib.colors import ListedColormap" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The iris dataset consists of measurements of three different species of irises.\n", "scikit-learn embeds a copy of the iris CSV file along with a helper function to load it into numpy arrays." ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()" ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['target_names', 'data', 'target', 'DESCR', 'feature_names']" ] }, "execution_count": 125, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.keys()" ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(150, 4)\n", "(150,)\n" ] } ], "source": [ "print iris.data.shape\n", "print iris.target.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploring the dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The target classes to predict are iris classification:\n", "\n", "* setosa\n", "* versicolor\n", "* virginica" ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array(['setosa', 'versicolor', 'virginica'], \n", " dtype='|S10')" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.target_names" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The features in the iris dataset are :\n", "\n", "* sepal length\n", "* sepal width\n", "* petal length\n", "* petal width" ] }, { "cell_type": "code", "execution_count": 128, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "['sepal length (cm)',\n", " 'sepal width (cm)',\n", " 'petal length (cm)',\n", " 'petal width (cm)']" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.feature_names" ] }, { "cell_type": "code", "execution_count": 129, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1.4, 1.4, 1.3, 1.5, 1.4, 1.7, 1.4, 1.5, 1.4, 1.5, 1.5,\n", " 1.6, 1.4, 1.1, 1.2, 1.5, 1.3, 1.4, 1.7, 1.5, 1.7, 1.5,\n", " 1. , 1.7, 1.9, 1.6, 1.6, 1.5, 1.4, 1.6, 1.6, 1.5, 1.5,\n", " 1.4, 1.5, 1.2, 1.3, 1.5, 1.3, 1.5, 1.3, 1.3, 1.3, 1.6,\n", " 1.9, 1.4, 1.6, 1.4, 1.5, 1.4, 4.7, 4.5, 4.9, 4. , 4.6,\n", " 4.5, 4.7, 3.3, 4.6, 3.9, 3.5, 4.2, 4. , 4.7, 3.6, 4.4,\n", " 4.5, 4.1, 4.5, 3.9, 4.8, 4. , 4.9, 4.7, 4.3, 4.4, 4.8,\n", " 5. , 4.5, 3.5, 3.8, 3.7, 3.9, 5.1, 4.5, 4.5, 4.7, 4.4,\n", " 4.1, 4. , 4.4, 4.6, 4. , 3.3, 4.2, 4.2, 4.2, 4.3, 3. ,\n", " 4.1, 6. , 5.1, 5.9, 5.6, 5.8, 6.6, 4.5, 6.3, 5.8, 6.1,\n", " 5.1, 5.3, 5.5, 5. , 5.1, 5.3, 5.5, 6.7, 6.9, 5. , 5.7,\n", " 4.9, 6.7, 4.9, 5.7, 6. , 4.8, 4.9, 5.6, 5.8, 6.1, 6.4,\n", " 5.6, 5.1, 5.6, 6.1, 5.6, 5.5, 4.8, 5.4, 5.6, 5.1, 5.1,\n", " 5.9, 5.7, 5.2, 5. , 5.2, 5.4, 5.1])" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_index = 2 #Petal Length\n", "y_index = 3 #Petal Width\n", "iris.data[:,x_index] # Petal Length values" ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris.target # Iris Classification values" ] }, { "cell_type": "code", "execution_count": 131, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 131, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAEZCAYAAABSN8jfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/1ggKiPICkfAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "formatter = plt.FuncFormatter(lambda i, *args: iris.target_names[int(i)])\n", "\n", "plt.scatter(iris.data[:, x_index], iris.data[:, y_index],\n", " c=iris.target)\n", "plt.colorbar(ticks=[0, 1, 2], format=formatter)\n", "plt.xlabel(iris.feature_names[x_index])\n", "plt.ylabel(iris.feature_names[y_index])\n", "plt.title(\"Iris classification according to Petal measurements\")" ] }, { "cell_type": "code", "execution_count": 132, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEZCAYAAACEkhK6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_index = 0 # Sepal Lenght\n", "y_index = 1 # Sepal Width\n", "formatter = plt.FuncFormatter(lambda i, *args: iris.target_names[int(i)])\n", "\n", "plt.scatter(iris.data[:, x_index], iris.data[:, y_index],\n", " c=iris.target)\n", "plt.colorbar(ticks=[0, 1, 2], format=formatter)\n", "plt.xlabel(iris.feature_names[x_index])\n", "plt.ylabel(iris.feature_names[y_index])\n", "plt.title(\"Iris classification according to sepal measurements\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using classification algorithm " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### KNeighborsClassifier\n", "\n", "The simplest possible classifier is the nearest neighbor." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the model" ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_neighbors=1, p=2, weights='uniform')" ] }, "execution_count": 133, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn import neighbors\n", "knn = neighbors.KNeighborsClassifier(n_neighbors=1)\n", "knn.fit(iris.data, iris.target) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Doing a predicition" ] }, { "cell_type": "code", "execution_count": 134, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['virginica']\n" ] } ], "source": [ "result = knn.predict([[3, 5, 4, 2],]) # What is the iris class for 3cm x 5cm sepal and 4cm x 2cm petal?\n", "print iris.target_names[result]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Exploring the results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's draw the classification region according to sepal measurements. \n", "First, let's fit the model using the two first features only:" ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_neighbors=3, p=2, weights='uniform')" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = iris.data[:, :2] #Working with the two first features : sepal length and sepal width\n", "y = iris.target\n", "\n", "knn = neighbors.KNeighborsClassifier(n_neighbors=3)\n", "knn.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, let's build a input data matrix containing continuous values of sepal length and width (from min to max) and aply the predict function to it:" ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x_min, x_max = X[:, 0].min() - .1, X[:, 0].max() + .1 #min and max sepal length\n", "y_min, y_max = X[:, 1].min() - .1, X[:, 1].max() + .1 #min and max sepal width\n", "xx, yy = np.meshgrid(np.linspace(x_min, x_max, 100),\n", " np.linspace(y_min, y_max, 100))\n", "Z = knn.predict(np.c_[xx.ravel(), yy.ravel()])\n", "Z = Z.reshape(xx.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's put the result into a color plot:" ] }, { "cell_type": "code", "execution_count": 137, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(4.2000000000000002, 8.0, 1.8999999999999999, 4.5)" ] }, "execution_count": 137, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEPCAYAAABGP2P1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "\n", "# Create color maps for 3-class classification problem\n", "from matplotlib.colors import ListedColormap\n", "cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n", "cmap_bold = ListedColormap(['#FF0000', '#00FF00', '#0000FF'])\n", "\n", "# Plot Classification Map\n", "plt.pcolormesh(xx, yy, Z, cmap=cmap_light, )\n", "plt.xlabel('sepal length (cm)')\n", "plt.ylabel('sepal width (cm)')\n", "plt.axis('tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's add the actual values of iris sepal lenght/width vs classification to the color map:" ] }, { "cell_type": "code", "execution_count": 138, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(4.0099999999999998, 8.1899999999999995, 1.77, 4.6299999999999999)" ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEKCAYAAAD6q1UVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.pcolormesh(xx, yy, Z, cmap=cmap_light)\n", "# Add training points\n", "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=cmap_bold)\n", "plt.xlabel('sepal length (cm)')\n", "plt.ylabel('sepal width (cm)')\n", "plt.axis('tight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Support Vector Classifier (SVC)" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn import svm\n", "\n", "clf = svm.LinearSVC(loss = 'l2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the model" ] }, { "cell_type": "code", "execution_count": 140, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "LinearSVC(C=1.0, class_weight=None, dual=True, fit_intercept=True,\n", " intercept_scaling=1, loss='l2', multi_class='ovr', penalty='l2',\n", " random_state=None, tol=0.0001, verbose=0)" ] }, "execution_count": 140, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.fit(iris.data, iris.target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Doing a predicition" ] }, { "cell_type": "code", "execution_count": 141, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['virginica']\n" ] } ], "source": [ "result = clf.predict([[3, 5, 4, 2],])# What is the iris class for 3cm x 5cm sepal and 4cm x 2cm petal?\n", "print iris.target_names[result]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exploring different classifiers (kernels)" ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "collapsed": false }, "outputs": [], "source": [ "X = iris.data[:, :2] #Working with the two first features : sepal length and sepal width\n", "y = iris.target" ] }, { "cell_type": "code", "execution_count": 143, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEZCAYAAAB/6SUgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndP85k7M2ogAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEZCAYAAAB/6SUgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAw6GxanAP+GZAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEZCAYAAAB/6SUgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCkP/D99Uwcpxs2dxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_class_map(clf, X, y, title=\"\", **params):\n", " C = 1.0 # SVM regularization parameter\n", " \n", " clf.fit(X, y)\n", " x_min, x_max = X[:, 0].min() - .1, X[:, 0].max() + .1\n", " y_min, y_max = X[:, 1].min() - .1, X[:, 1].max() + .1\n", " xx, yy = np.meshgrid(np.linspace(x_min, x_max, 100),\n", " np.linspace(y_min, y_max, 100))\n", " Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " \n", " plt.figure()\n", " \n", " from matplotlib.colors import ListedColormap\n", " cmap_light = ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])\n", " cmap_bold = ListedColormap(['#FF0000', '#00FF00', '#0000FF'])\n", " plt.pcolormesh(xx, yy, Z, cmap=cmap_light)\n", " #Plot training points as well\n", " plt.scatter(X[:, 0], X[:, 1], c=y, cmap=cmap_bold)\n", " plt.xlabel('sepal length (cm)')\n", " plt.ylabel('sepal width (cm)')\n", " plt.axis('tight')\n", " plt.title(title)\n", "\n", "# Linear\n", "clf = svm.SVC(kernel='linear')\n", "plot_class_map(clf, X, y, 'SVC with linear kernel')\n", "\n", "# RBF\n", "clf = svm.SVC(kernel='rbf')\n", "plot_class_map(clf, X, y, 'SVC with linear kernel')\n", "\n", "# RBF\n", "clf = svm.SVC(kernel='poly', degree=3)\n", "plot_class_map(clf, X, y, 'SVC with polynomial kernel (3 degrees)')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note:\n", "\n", "The linear models LinearSVC() and SVC(kernel='linear') yield slightly different decision boundaries. This can be a consequence of the following differences:\n", "\n", "* LinearSVC minimizes the squared hinge loss while SVC minimizes the regular hinge loss.\n", "* LinearSVC uses the One-vs-All (also known as One-vs-Rest) multiclass reduction while SVC uses the One-vs-One multiclass reduction.\n" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['versicolor']\n" ] } ], "source": [ "clf = svm.SVC(kernel=\"linear\")\n", "clf.fit(iris.data, iris.target)\n", "result = clf.predict([[3, 5, 4, 2],])# What is the iris class for 3cm x 5cm sepal and 4cm x 2cm petal?\n", "print iris.target_names[result]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random Forest" ] }, { "cell_type": "code", "execution_count": 145, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "\n", "clf = DecisionTreeClassifier()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the model" ] }, { "cell_type": "code", "execution_count": 146, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "DecisionTreeClassifier(compute_importances=None, criterion='gini',\n", " max_depth=None, max_features=None, max_leaf_nodes=None,\n", " min_density=None, min_samples_leaf=1, min_samples_split=2,\n", " random_state=None, splitter='best')" ] }, "execution_count": 146, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.fit(iris.data, iris.target)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Doing a predicition" ] }, { "cell_type": "code", "execution_count": 147, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['versicolor']\n" ] } ], "source": [ "result = clf.predict([[3, 5, 4, 2],])# What is the iris class for 3cm x 5cm sepal and 4cm x 2cm petal?\n", "print iris.target_names[result]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Decision Trees and over-fitting" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEKCAYAAAD6q1UVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = iris.data[:, :2] #Working with the two first features : sepal length and sepal width\n", "y = iris.target\n", "clf.fit(X,y)\n", "\n", "plot_class_map(clf, X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The issue with RF is it's tending to overfit the data. \n", "hey are flexible enough that they can learn the structure of the noise in the data rather than the signal." ] }, { "cell_type": "code", "execution_count": 122, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEKCAYAAAD6q1UVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+RtjjA9Z8jfGGB/6f6ZdbXD55YsGAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clf = DecisionTreeClassifier(max_depth=4)\n", "clf.fit(X,y)\n", "plot_class_map(clf, X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model obtained by limiting tree depth is a much better fit to the data." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }