{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Support Vector Machine Explained with NN comparison\n", "References: \n", "https://www.amazon.com/Introduction-Machine-Learning-Python-Scientists/dp/1449369413" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import sys\n", "sys.path.append('/Users/kaonpark/workspace/github.com/likejazz/kaon-learn')\n", "import kaonlearn\n", "from kaonlearn.plots import plot_decision_regions, plot_learning_curve" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2bFuoqayeFOwJ66tTTlc4HNGuAycKth5xuve+AQCZc0QgR6W7VGCiMb6+Uo+m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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "X, y = make_blobs(centers=4, random_state=8)\n", "y = y % 2\n", "\n", "X_x = X[:, 0]\n", "X_y = X[:, 1]\n", "\n", "plt.scatter(X_x[y == 0], X_y[y == 0])\n", "plt.scatter(X_x[y == 1], X_y[y == 1])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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JwSRzfsn7nSckxuQw6DwYi9sGs9sqeMzstqDBaUJHbW6Ma0UIibVE6ZXyFSy/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\noCKEEEIIidD/B4vGblM6XY1eAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.svm import LinearSVC\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "for model, ax in zip([LinearSVC(), LogisticRegression()], axes):\n", " clf = model.fit(X, y)\n", "\n", " plot_decision_regions(X, y, clf=clf, ax=ax, legend=0)\n", "\n", " ax.set_title(\"{}\".format(clf.__class__.__name__))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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+XHaAwlIz/TuHMrhbRKOdX5wwtEcEOw8WsCO1gE17c+mdGOLqkIQQolaSwBtJ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\nA2R0SQ2GjWfMAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_learning_curve(LogisticRegression(), X, y)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1.72161036, -1.48033142],\n", " [-3.6573384 , -9.5482383 ],\n", " [ 7.0778163 , 0.99508772]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X[:3]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1.48033142, -9.5482383 , 0.99508772])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X[:, 1][:3]" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-1.48033142],\n", " [-9.5482383 ],\n", " [ 0.99508772]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X[:, 1:][:3]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 2.19138111],\n", " [ 91.16885455],\n", " [ 0.99019957]])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(X[:, 1:] ** 2)[:3]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ -1.72161036, -1.48033142, 2.19138111],\n", " [ -3.6573384 , -9.5482383 , 91.16885455],\n", " [ 7.0778163 , 0.99508772, 0.99019957]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_new = np.hstack([X, X[:, 1:] ** 2])\n", "X_new[:3]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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38O6/pF6LSY44JXVfSYCE0woiQzD5hHXV+TU3mualuVqtdqz1ZEZ2ogin4Ay8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\n12r8Yt8cjs+lkdeLmJnPICCLWDXJ1hSB45DLF/Hws6fwa69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jR1/Ggw/+Fw4ceBE//OEP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TquQW/KC7iLMrmBNW1iRSMn7367pFvNLP0eaXFTQdkKoapuHXJmCf8BlFNz1qq5dirR/Eyo0jn7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\nHyv2xdBms0bmynV1i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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# add the squared first feature\n", "# hstack: Stack arrays in sequence horizontally (column wise).\n", "X_new = np.hstack([X, X[:, 1:] ** 2])\n", "\n", "from mpl_toolkits.mplot3d import Axes3D\n", "# visualize in 3D\n", "ax = Axes3D(plt.figure(), elev=-152, azim=-26)\n", "# plot first all the points with y==0, then all with y == 1\n", "ax.scatter(X_new[y == 0, 0], X_new[y == 0, 1], X_new[y == 0, 2], s=60)\n", "ax.scatter(X_new[y == 1, 0], X_new[y == 1, 1], X_new[y == 1, 2], s=60)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.set_zlabel(\"y ** 2\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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dM9TtOk67F4MF1QwIwhAyUnh47w7sTBv7++rvQA8d2B0Ltxs34IcBvnnyPHpB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//ys7j22uvx9re/YyLcx0fVOPldyblJo65rqZXs496AcxkF7/6xG/Bbn30Y5zfYk70sCQBlZIgC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\nIAiCIDRCgRNBEARBEIRG/h/FOU6hxyiVuAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "linear_svm_3d = LinearSVC().fit(X_new, y)\n", "coef, intercept = linear_svm_3d.coef_.ravel(), linear_svm_3d.intercept_\n", "\n", "# show linear decision boundary\n", "ax = Axes3D(plt.figure(), elev=-152, azim=-26)\n", "xx = np.linspace(X_new[:, 0].min(), X_new[:, 0].max(), 50)\n", "yy = np.linspace(X_new[:, 1].min(), X_new[:, 1].max(), 50)\n", "\n", "XX, YY = np.meshgrid(xx, yy)\n", "ZZ = (coef[0] * XX + coef[1] * YY + intercept) / -coef[2]\n", "ax.plot_surface(XX, YY, ZZ, rstride=8, cstride=8, alpha=0.3)\n", "ax.scatter(X_new[y == 0, 0], X_new[y == 0, 1], X_new[y == 0, 2], s=60)\n", "ax.scatter(X_new[y == 1, 0], X_new[y == 1, 1], X_new[y == 1, 2], s=60)\n", "\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.set_zlabel(\"y ** 2\")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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9bInQBjAxEMioqELuYbOsC4AbEchwNLPAzndZl0RoA3A+AhlVr9iZ4imENoBK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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.colors import ListedColormap\n", "ZZ = YY ** 2\n", "dec = linear_svm_3d.decision_function(np.c_[XX.ravel(), YY.ravel(), ZZ.ravel()])\n", "plt.contourf(XX, YY, dec.reshape(XX.shape), levels=[dec.min(), 0, dec.max()], alpha=0.2)\n", "\n", "plt.scatter(X_x[y == 0], X_y[y == 0])\n", "plt.scatter(X_x[y == 1], X_y[y == 1])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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TKsKHP4R11mwMxk7riGgzrUOtzculLmBKBmulUktPNCLc+Zk9OreTKBO5HmC4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\nXa4HYXmSAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.svm import SVC\n", "\n", "svm = SVC(kernel='rbf', C=10, gamma=0.1).fit(X, y) \n", "\n", "plot_decision_regions(X, y, clf=svm)\n", "\n", "# plot support vectors\n", "sv = svm.support_vectors_\n", "plt.scatter(sv[:, 0], sv[:, 1], marker='x')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ucx7y9nro82agYtZGWIViVMza6B75MdWc93veeI7GGM6egcNmg8XGoauvHxYbB4fNBsPZ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v0zuuNfecwmkzqs0xknA51N3W6spaWl8cc//tH587Fjx7j22msByM7OZs+ePT0/OiF6UTBPE/3m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\nPQ8NfYbymz0rZaaiWaid8yVwjBwFThPs8jRkdzbi7d+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 3, figsize=(15, 10))\n", "\n", "for ax, C in zip(axes, [-1, 0, 3]):\n", " for a, gamma in zip(ax, range(-1, 2)):\n", " a.set_title(\"C = %.4f gamma = %.4f\" % (10. ** C, 10. ** gamma))\n", " svm = SVC(kernel='rbf', C=10. ** C, gamma=10. ** gamma).fit(X, y) \n", " plot_decision_regions(X, y, clf=svm, ax=a, legend=0)\n", " \n", " # plot support vectors\n", " sv = svm.support_vectors_\n", " a.scatter(sv[:, 0], sv[:, 1], marker='x')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Going from left to right, we increase the value of the parameter *gamma* from 0.1 to 10. A small gamma means a large radius for the Gaussian kernel, which means that many points are considered close by. This is reflected in very smooth decision boundaries on the left, and boundaries that focus more on single points further to the right.\n", "- Going from top to bottom, we increase the *C* parameter from 0.1 to 1000. As with the linear models, a small C means a very restricted model, where each data point can only have very limited influence. Increasing C allows these points to have a stronger influence on the model and makes the decision boundary bend to correctly classify them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Neural Networks\n", "By default, the MLP uses 100 hidden nodes." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FTm9vb9l/EwwGTWgJEZH1pk+fLnu7roAsZ2BgAD6fD4FAAACwcOFC7Nq1Cx6P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\nOL5//34sWLAAHo8HV155JTK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neural_network import MLPClassifier\n", "from sklearn.model_selection import train_test_split\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y,\n", " random_state=42)\n", "\n", "mlp = MLPClassifier(solver='adam', random_state=0, hidden_layer_sizes=[1000]).fit(X_train, y_train)\n", "plot_decision_regions(X, y, clf=mlp, legend=0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Xa5mWDXNGLt2Ku8fSDTv4erB5Wh8XZye6P92UPl2e4fKNOwwYNY3yAb7UrV6y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\nQ+8U3L4Vkzl9J4pjNyPo39R09NoPh0Kp7l2Bal5PdtR/xJV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3/8GkUe+bzZRWWfaJ8me+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(30, 2))\n", "sns.heatmap(mlp.coefs_[0][:, :30], yticklabels=[\"x\", \"y\"], annot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Keras Implementation" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_1 (Dense) (None, 1000) 3000 \n", "_________________________________________________________________\n", "dropout_1 (Dropout) (None, 1000) 0 \n", "_________________________________________________________________\n", "dense_2 (Dense) (None, 1) 1001 \n", "=================================================================\n", "Total params: 4,001.0\n", "Trainable params: 4,001.0\n", "Non-trainable params: 0.0\n", "_________________________________________________________________\n" ] } ], "source": [ "from keras.models import Sequential\n", "from keras.layers import Dense, Dropout\n", "\n", "model = Sequential()\n", "\n", "# 1000 * 1\n", "model.add(Dense(1000, input_dim=2, activation='relu'))\n", "model.add(Dropout(0.2))\n", "model.add(Dense(1, activation='sigmoid'))\n", "\n", "model.compile(loss='binary_crossentropy',\n", " optimizer='adam',\n", " metrics=['accuracy'])\n", "\n", "model.summary()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "78c9fea76a7441a0a0bf14ff4512cd86" } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from keras_tqdm import TQDMNotebookCallback\n", "model.fit(X_train, y_train, epochs=1000, verbose=0, callbacks=[TQDMNotebookCallback(show_inner=False)])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "25/25 [==============================] - 0s\n", "Summary: Loss over the test dataset: 0.00, Accuracy: 1.00\n" ] } ], "source": [ "evaluation = model.evaluate(X_test, y_test)\n", "print('Summary: Loss over the test dataset: %.2f, Accuracy: %.2f' % (evaluation[0], evaluation[1]))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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66CHEYjE89dRTmDp1qpIvQVSxcoUzwICm3Bi+xmERBEFQ6mSHDx/Gvn370NLSghMnTuDh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\nvk/wYgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_decision_regions(X, y, clf=model)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_3 (Dense) (None, 1000) 3000 \n", "_________________________________________________________________\n", "dropout_2 (Dropout) (None, 1000) 0 \n", "_________________________________________________________________\n", "dense_4 (Dense) (None, 1000) 1001000 \n", "_________________________________________________________________\n", "dropout_3 (Dropout) (None, 1000) 0 \n", "_________________________________________________________________\n", "dense_5 (Dense) (None, 1) 1001 \n", "=================================================================\n", "Total params: 1,005,001.0\n", "Trainable params: 1,005,001.0\n", "Non-trainable params: 0.0\n", "_________________________________________________________________\n" ] } ], "source": [ "model = Sequential()\n", "\n", "# 1000 * 1000 * 1\n", "model.add(Dense(1000, input_dim=2, activation='relu'))\n", "model.add(Dropout(0.2))\n", "model.add(Dense(1000, activation='relu'))\n", "model.add(Dropout(0.2))\n", "model.add(Dense(1, activation='sigmoid'))\n", "\n", "model.compile(loss='binary_crossentropy',\n", " optimizer='adam',\n", " metrics=['accuracy'])\n", "\n", "model.summary()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "506357ec91ac4f46a54cd342ee43081e" } }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.fit(X_train, y_train, epochs=1000, verbose=0, callbacks=[TQDMNotebookCallback(show_inner=False)])" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hAJcvvspEpBpryeIxgCmJrzoRqcKmazEYwJQN3wVEpBpDOX8MYFKL7woiyksyTJJBw2DO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\nGQADmYiIyAD+P/X1xmu6XyRcAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_decision_regions(X, y, clf=model)" ] } ], "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }