{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Programming Exercise 1 - Linear Regression\n", "\n", "- [warmUpExercise](#warmUpExercise)\n", "- [Linear regression with one variable](#Linear-regression-with-one-variable)\n", "- [Gradient Descent](#Gradient-Descent)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load ../../standard_import.txt\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.linear_model import LinearRegression\n", "from mpl_toolkits.mplot3d import axes3d\n", "\n", "pd.set_option('display.notebook_repr_html', False)\n", "pd.set_option('display.max_columns', None)\n", "pd.set_option('display.max_rows', 150)\n", "pd.set_option('display.max_seq_items', None)\n", " \n", "#%config InlineBackend.figure_formats = {'pdf',}\n", "%matplotlib inline \n", "\n", "import seaborn as sns\n", "sns.set_context('notebook')\n", "sns.set_style('white')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### warmUpExercise" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def warmUpExercise():\n", " return(np.identity(5))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1., 0., 0., 0., 0.],\n", " [ 0., 1., 0., 0., 0.],\n", " [ 0., 0., 1., 0., 0.],\n", " [ 0., 0., 0., 1., 0.],\n", " [ 0., 0., 0., 0., 1.]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "warmUpExercise()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear regression with one variable" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = np.loadtxt('data/ex1data1.txt', delimiter=',')\n", "\n", "X = np.c_[np.ones(data.shape[0]),data[:,0]]\n", "y = np.c_[data[:,1]]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:,1], y, s=30, c='r', marker='x', linewidths=1)\n", "plt.xlim(4,24)\n", "plt.xlabel('Population of City in 10,000s')\n", "plt.ylabel('Profit in $10,000s');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gradient Descent" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def computeCost(X, y, theta=[[0],[0]]):\n", " m = y.size\n", " J = 0\n", " \n", " h = X.dot(theta)\n", " \n", " J = 1/(2*m)*np.sum(np.square(h-y))\n", " \n", " return(J)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "32.072733877455676" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "computeCost(X,y)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def gradientDescent(X, y, theta=[[0],[0]], alpha=0.01, num_iters=1500):\n", " m = y.size\n", " J_history = np.zeros(num_iters)\n", " theta_history = np.zeros((num_iters, 2))\n", " \n", " for iter in np.arange(num_iters):\n", " h = X.dot(theta)\n", " theta = theta - alpha*(1/m)*(X.T.dot(h-y))\n", " theta_history[iter, :] = theta.reshape((2, ))\n", " J_history[iter] = computeCost(X, y, theta)\n", " return(theta, J_history, theta_history)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "theta: [-3.63029144 1.16636235]\n" ] }, { "data": { "image/png": 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ZtQmlFUaUVlajpMKI0kojblYaLfdLa29Lau/frDSivNqEsioTKmpvSyuNyCup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\nJHMsAiIimWMREBHJHIuAiEjm/j9esybK0vh8VgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# theta for minimized cost J\n", "theta , Cost_J, theta_history = gradientDescent(X, y)\n", "print('theta: ',theta.ravel())\n", "\n", "plt.plot(Cost_J)\n", "plt.ylabel('Cost J')\n", "plt.xlabel('Iterations');" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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4zE9kn1L4ndhMwPwneeLoO5RPDOaAYw/+GXCcbuNX0dBakz7IZ0EUGZm2+Pv3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\nUoo///yT0qVLm74q5qddu3bRrVu3dNfdu3cP9V8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xx = np.arange(5,23)\n", "yy = theta[0]+theta[1]*xx\n", "\n", "# Plot gradient descent\n", "plt.scatter(X[:,1], y, s=30, c='r', marker='x', linewidths=1)\n", "plt.plot(xx,yy, label='Linear regression (Gradient descent)')\n", "\n", "# Compare with Scikit-learn Linear regression \n", "regr = LinearRegression()\n", "regr.fit(X[:,1].reshape(-1,1), y.ravel())\n", "plt.plot(xx, regr.intercept_+regr.coef_*xx, label='Linear regression (Scikit-learn GLM)')\n", "\n", "plt.xlim(4,24)\n", "plt.xlabel('Population of City in 10,000s')\n", "plt.ylabel('Profit in $10,000s')\n", "plt.legend(loc=4);" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4519.7678677]\n", "[ 45342.45012945]\n" ] } ], "source": [ "# Predict profit for a city with population of 35000 and 70000\n", "print(theta.T.dot([1, 3.5])*10000)\n", "print(theta.T.dot([1, 7])*10000)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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yjFTPWHSW5POE/x07T7hwP6ypgAWfwU8/gwl9VSicXghOKRQsRK8UvyD1JlWJ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\n3LmtW9jOr7ltSQfblQRut5uys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jJ1ajOx2O5ByPsSyaTkzjvz3Hprnvfe8xcGo0YZXHpp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4gKYxRpGtFohBlX78PvFCJUhITk3dBhGOy/IaRo3ryg7i1ZErNwYUq93mf58hrHHXfwrgPO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# visualizing J(theta)\n", "\n", "# Create grid coordinates for plotting\n", "theta0_vals = np.linspace(-10, 10, 50)\n", "theta1_vals = np.linspace(-1, 4, 50)\n", "xx, yy = np.meshgrid(theta0_vals, theta1_vals, indexing='xy')\n", "J_vals = np.zeros((theta0_vals.size,theta1_vals.size))\n", "\n", "# Calculate J-values (Cost) based on grid of coefficients\n", "for (i,j),v in np.ndenumerate(J_vals):\n", " J_vals[i,j] = computeCost(X, y, theta=[[xx[i,j]], [yy[i,j]]])\n", "\n", "fig = plt.figure(figsize=(15,6))\n", "ax1 = fig.add_subplot(121)\n", "ax2 = fig.add_subplot(122, projection='3d')\n", "\n", "# Left plot\n", "CS = ax1.contour(xx, yy, J_vals, np.logspace(-2, 3, 20), cmap=plt.cm.jet)\n", "ax1.scatter(theta_history[:, 0],theta_history[:, 1], c='r')\n", "ax1.scatter(theta_history[-1:, 0],theta_history[-1:, 1], facecolors='none', edgecolors='g', marker='o', s=100)\n", "\n", "# Right plot\n", "ax2.plot_surface(xx, yy, J_vals, rstride=1, cstride=1, alpha=0.5, cmap=plt.cm.jet)\n", "ax2.set_zlabel('Cost')\n", "ax2.set_zlim(J_vals.min(),J_vals.max())\n", "ax2.scatter(theta_history[:, 0], theta_history[:, 1], Cost_J, c='r')\n", "ax2.scatter(theta_history[-1:, 0], theta_history[-1:, 1], Cost_J[-1:], \n", " facecolors='none', edgecolors='g', marker='o', s=100)\n", "ax2.view_init(elev=15, azim=230)\n", "\n", "# settings common to both plots\n", "for ax in fig.axes:\n", " ax.set_xlabel(r'$\\theta_0$', fontsize=17)\n", " ax.set_ylabel(r'$\\theta_1$', fontsize=17)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Regression With Multiple Variables" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "x = [[ 2.10400000e+03 3.00000000e+00]\n", " [ 1.60000000e+03 3.00000000e+00]\n", " [ 2.40000000e+03 3.00000000e+00]\n", " [ 1.41600000e+03 2.00000000e+00]\n", " [ 3.00000000e+03 4.00000000e+00]\n", " [ 1.98500000e+03 4.00000000e+00]\n", " [ 1.53400000e+03 3.00000000e+00]\n", " [ 1.42700000e+03 3.00000000e+00]\n", " [ 1.38000000e+03 3.00000000e+00]\n", " [ 1.49400000e+03 3.00000000e+00]],\n", "y = [[ 399900.]\n", " [ 329900.]\n", " [ 369000.]\n", " [ 232000.]\n", " [ 539900.]\n", " [ 299900.]\n", " [ 314900.]\n", " [ 198999.]\n", " [ 212000.]\n", " [ 242500.]]\n" ] } ], "source": [ "# loading data\n", "data = np.loadtxt('data/ex1data2.txt', delimiter=',')\n", "X = np.c_[ data[:, 0:2] ]\n", "y = np.c_[ data[:, 2] ]\n", "m = len(y)\n", "\n", "# first 10 examples from dataset\n", "print(\"x = {},\\ny = {}\".format(X[0:10, :], y[0:10, :]))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def featureNormalize(X):\n", " X_norm = X\n", " mu = np.zeros((1, X.shape[1]))\n", " sigma = np.zeros((1, X.shape[1]))\n", " \n", " for i in np.arange(X.shape[1]):\n", " mu[0, i] = X[:, i].mean()\n", " X_norm[:, i] -= mu[0, i]\n", " sigma[0, i] = X[:, i].std()\n", " X_norm[:, i] /= sigma[0, i]\n", " return (X_norm, mu, sigma)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Scale features and set them to zero mean\n", "X, mu, sigma = featureNormalize(X)\n", "# add intercept term to X\n", "X = np.c_[ np.ones((m, 1)), X ]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Gradient Descent\n", "alpha = 0.01\n", "num_iters = 400" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def computeCostMulti(X, y, theta):\n", " m = len(y)\n", " J = 0\n", " J = 1/(2*m) * (X.dot(theta) - y).T.dot(X.dot(theta) - y)\n", " return J\n", "\n", "def gradientDescentMulti(X, y, theta, alpha, num_iters):\n", " m = len(y)\n", " J_history = np.zeros((num_iters, 1))\n", " \n", " for i in np.arange(num_iters):\n", " theta -= (alpha / m) * X.T.dot(X.dot(theta) - y)\n", " J_history[i] = computeCostMulti(X, y, theta)\n", " return (theta, J_history)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Init Theta and Run Gradient Descent\n", "theta = np.zeros((3, 1))\n", "(theta, J_history) = gradientDescentMulti(X, y, theta, alpha, num_iters)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GYEJ+WQ3yy2oeujZJAjxc1PC4wweAu4sabi4quGrUcHVRwc1FDVfNb4+uGhVc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\nYsATETkoBjwRkYP6/36cC+Sx/2FbAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the convergence graph\n", "plt.plot(np.arange(1, len(J_history)+1), J_history, linewidth=2)\n", "plt.xlabel('Number of iterations')\n", "plt.ylabel('Cost J')" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Theta computed from gradient descent: \n", "\n", " [[ 334302.06399328]\n", " [ 99411.44947359]\n", " [ 3267.01285407]] \n", "\n", "Predicted price of a 1650 sq-ft, 3 br house (using gradient descent):\n", " $289221.5473712181\n", "\n" ] } ], "source": [ "# Display gradient descent's result\n", "print(\"Theta computed from gradient descent: \\n\")\n", "print(\" {} \\n\".format(theta))\n", "\n", "# Estimate the price of a 1650 sq-ft, 3 br house\n", "price = 0\n", "price = np.c_[1, (1650 - mu[0, 0]) / sigma[0, 0], (3 - mu[0, 1]) / sigma[0, 1]].dot(theta)\n", "\n", "print(\"Predicted price of a 1650 sq-ft, 3 br house (using gradient descent):\\n ${}\\n\".format(price[0, 0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Normal Equation" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = np.loadtxt('data/ex1data2.txt', delimiter=',')\n", "X = np.c_[ data[:, 0:2] ]\n", "y = np.c_[ data[:, 2] ]\n", "m = len(y)\n", "# adding intercept term\n", "X = np.c_[ np.ones((m, 1)), X ]" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def normalEqn(X, y):\n", " theta = np.zeros((X.shape[1], 1))\n", " theta = np.linalg.pinv(X.T.dot(X)).dot(X.T).dot(y)\n", " return theta" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Theta computed from the normal equations: \n", "\n", " [[ 89597.90954355]\n", " [ 139.21067402]\n", " [ -8738.01911255]] \n", "\n" ] } ], "source": [ "theta = normalEqn(X, y)\n", "# Display normal equation's result\n", "print(\"Theta computed from the normal equations: \\n\");\n", "print(\" {} \\n\".format(theta));" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted price of a 1650 sq-ft, 3 br house (using normal equations):\n", " $293081.4643349717\n", "\n" ] } ], "source": [ "price = np.c_[1, 1650, 3].dot(theta);\n", "print(\"Predicted price of a 1650 sq-ft, 3 br house (using normal equations):\\n ${}\\n\".format(price[0, 0]));" ] } ], "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }