{
"nbformat": 4,
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"metadata": {
"colab": {
"name": "Lab1_LinearRegression_1.ipynb",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"
"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "_JkjTnht1Cks"
},
"source": [
"# **Lab 1 : Linear regression with NumPy**\n",
"\n",
"In this exercise, you will implement a linear regressor for the house pricing problem. You will predict house prices training your predictor on previous collected data. \n",
"\n",
"The idea behind (multiple) linear regression is to extract a linear relation between features and target data which can be represented by the following equation:\n",
"\\begin{equation}\n",
"y(x_1, x_2, \\dots, x_n) = w_0 + w_1x_1 + w_2x_2+\\dots + w_n x_n = w_0 + \\sum_{i=1}^m w_i\\cdot x_i.~~~~~~~~~~~~~~~~~~~(1)\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"metadata": {
"id": "S-YF9CRY1jj6"
},
"source": [
"# Import packages for data loading/manipulation\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('seaborn-white')\n",
"from sklearn.datasets import load_boston\n",
"from sklearn.model_selection import train_test_split\n",
"# Additional packages\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error\n",
"from mpl_toolkits import mplot3d\n"
],
"execution_count": 2,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "bmhSZrXrYQ_y"
},
"source": [
"**Dataset description**\n",
"\n",
"The Boston Housing dataset contains prices of various houses in Boston depending on several parameters. The dataset contains 506 samples and 13 features. Your task is to fit a linear model and predict prices using unseen data."
]
},
{
"cell_type": "code",
"metadata": {
"id": "ipUzHulY28VA",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "70756cf1-36b1-47bf-c963-1bdc3404ea94"
},
"source": [
"# Load dataset\n",
"dataset = load_boston()\n",
"print(dataset.data.shape)\n",
"print(dataset.keys())\n",
"print(dataset.feature_names)\n",
"print(dataset.DESCR)"
],
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": [
"(506, 13)\n",
"dict_keys(['data', 'target', 'feature_names', 'DESCR', 'filename'])\n",
"['CRIM' 'ZN' 'INDUS' 'CHAS' 'NOX' 'RM' 'AGE' 'DIS' 'RAD' 'TAX' 'PTRATIO'\n",
" 'B' 'LSTAT']\n",
".. _boston_dataset:\n",
"\n",
"Boston house prices dataset\n",
"---------------------------\n",
"\n",
"**Data Set Characteristics:** \n",
"\n",
" :Number of Instances: 506 \n",
"\n",
" :Number of Attributes: 13 numeric/categorical predictive. Median Value (attribute 14) is usually the target.\n",
"\n",
" :Attribute Information (in order):\n",
" - CRIM per capita crime rate by town\n",
" - ZN proportion of residential land zoned for lots over 25,000 sq.ft.\n",
" - INDUS proportion of non-retail business acres per town\n",
" - CHAS Charles River dummy variable (= 1 if tract bounds river; 0 otherwise)\n",
" - NOX nitric oxides concentration (parts per 10 million)\n",
" - RM average number of rooms per dwelling\n",
" - AGE proportion of owner-occupied units built prior to 1940\n",
" - DIS weighted distances to five Boston employment centres\n",
" - RAD index of accessibility to radial highways\n",
" - TAX full-value property-tax rate per $10,000\n",
" - PTRATIO pupil-teacher ratio by town\n",
" - B 1000(Bk - 0.63)^2 where Bk is the proportion of blacks by town\n",
" - LSTAT % lower status of the population\n",
" - MEDV Median value of owner-occupied homes in $1000's\n",
"\n",
" :Missing Attribute Values: None\n",
"\n",
" :Creator: Harrison, D. and Rubinfeld, D.L.\n",
"\n",
"This is a copy of UCI ML housing dataset.\n",
"https://archive.ics.uci.edu/ml/machine-learning-databases/housing/\n",
"\n",
"\n",
"This dataset was taken from the StatLib library which is maintained at Carnegie Mellon University.\n",
"\n",
"The Boston house-price data of Harrison, D. and Rubinfeld, D.L. 'Hedonic\n",
"prices and the demand for clean air', J. Environ. Economics & Management,\n",
"vol.5, 81-102, 1978. Used in Belsley, Kuh & Welsch, 'Regression diagnostics\n",
"...', Wiley, 1980. N.B. Various transformations are used in the table on\n",
"pages 244-261 of the latter.\n",
"\n",
"The Boston house-price data has been used in many machine learning papers that address regression\n",
"problems. \n",
" \n",
".. topic:: References\n",
"\n",
" - Belsley, Kuh & Welsch, 'Regression diagnostics: Identifying Influential Data and Sources of Collinearity', Wiley, 1980. 244-261.\n",
" - Quinlan,R. (1993). Combining Instance-Based and Model-Based Learning. In Proceedings on the Tenth International Conference of Machine Learning, 236-243, University of Massachusetts, Amherst. Morgan Kaufmann.\n",
"\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Xk8wToSVZoHy"
},
"source": [
"**Data analysis**\n",
"\n",
"Before training a linear regressor, we will visualize the relationship between each feature and target data using histogram and scatter plots from the matplotlib library.\n",
"Let’s first plot the distribution of the target variable."
]
},
{
"cell_type": "code",
"metadata": {
"id": "LE9Zg8EnZnrz",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
},
"outputId": "b0bc0fc0-3d37-4de0-9f5d-1a7d709ff9e0"
},
"source": [
"X = np.array(dataset.data) # Features\n",
"y = np.array(dataset.target) # Prices\n",
"\n",
"print(\"Dataset shape -> {}, target variable shape -> {}\".format(X.shape,y.shape))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Dataset shape -> (506, 13), target variable shape -> (506,)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RIyOfoqAakFF",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 330
},
"outputId": "ce4b0311-6c78-4777-fe58-a7b8bf5938f1"
},
"source": [
"plt.figure(figsize=(10, 5))\n",
"kwargs = dict(histtype='stepfilled', alpha=0.3, density=False, bins=30, ec=\"k\")\n",
"plt.hist(y, **kwargs) \n",
"plt.xlabel(\"House prices in $1000\")\n",
"plt.show()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
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AADAglgAAAAxC+qaU+w68K2dtXbvO4Yu71wIAcIsvvjdxR/PgEtKl4Kyt06DERwI9BgAA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\niCUAAAADYgkAAMCAWAIAADD4P+JOuK5RFb+AAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9u17lmWTbmf4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"outputId": "a795602b-35a4-4bbf-8e55-99ee06564e87"
},
"source": [
"features = dataset.feature_names\n",
"plt.figure(figsize=(25, 25)) \n",
"\n",
"for i, feature in enumerate(features):\n",
" plt.subplot(5, 3 , i+1)\n",
" # Select i-th feature\n",
" x = X[:, i]\n",
" # Scatter plot\n",
" plt.scatter(x, y, marker='o')\n",
" plt.xlabel(feature)\n",
" plt.ylabel('House prices in $1000')\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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Nld45lrl4HcT0ZEUvvHrWscK59/q+Z3pCe6YnJC224LDrEv3afF3Pvfx639fq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\nXpKBTh6562bbnFocXQHSOrMvqLSOz6PipRJ6v6Q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LgREd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\nEal759SG9es845+rbRs3NEK3vSZFjqtAW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wAAIABJREFU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hyHqNt2CKkyiGt6hk3V/X4lDWWR78PtU6VlmYxylr8Lrs88i+T9ZRIDNJyyLSLLhABVbajurk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\nWX2ugZOXGl273/E8nLzUwPbNGwtTBwRBECZ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EWnuXpBOyb1o6vGaW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POlOuoxYFnWEx5BCwP6bXfLT8Nwq0nuCJMDOseW1/n8sO266MdOCnW/sCckyiRoEkRQ/ory\nGZV4jWrhtwRVFHUMMO54XprtmVzV1KZ1KxfGwQbNted16z0HfE+cNyca2nLFedry1vMqk9sEDkIb\nY66VtFXdRRIk6TeMMf8z01YlkPXB5PC7nDGMqPUK3YJB2Xjt68HPxO1L5AS2wfvOzrWlTrezUFP3\nS+b1FYzbGRz8gZCkyy9oLlyqOV6r6fILjp3d8rqEM+6lnX4DJv3v26nXCABeqhazk6CTdEzY+BM2\nTk6tNaq7FOGd73Qyza369cfm8zd+RVN37I2U2w2um5FkHY20T3gkmSzhtdhkrfdfUL4Q9L1503mn\nhG5LGGFyQOnYseWV4224LNwJhId/EO4Yr8pE6P5jJWgSRH9nltyx/EYpXqNa+C1B1cQZA0w6npdW\ne5xJD15Zql+6Ml6rLczenlzV1MzH3qhPv/380g9GhynHMWmtXW2Mubt3+1pJfyPpN7JrVnx51YiM\nezmhM+U/KrdLUZ8++LwOxVx0KCtu+9rtM5HcV1JfvXnX0jqURztadvxxmvlYtw7l6s27UrtEyG2B\nnqnb90q1Yx2l+U5Hd97f0itftkKTq5q+Hag4vGqFX3XRGbpxcmWs5wQwsioVs5MYhsVM0hI2/kSK\nkwFjtlmWoxiMzVEX6w2qOxxVmqu3J11Q84T6uOus44ll9YU8yU/Q98Zr8bsgXodLUA7otejkoPse\neSpRuY9Bz4RcpLJIYRcj6j8JVfXamiNmZOI1qoffElRJnDHALMuDxWmPVxkcP/OdzpIc0vnunn3d\nX5S29FiYQWhnuoTzDk4I+bhC5FXHME6tpDDJpN9Zi8FgcNb6HSFbm6/Bfe217492Onpo86Wh7tu/\nPc3OoOviSy61dOba89q4fb/vCYS4Z5wYSAGQokrF7KToJHV51UDuFyVOug3iusmqHIXXwGXY1/dK\n4qMm944043TSyRJhSoIF1Tj0+97E3UcduS+CGZQDhs1lb7v30VAn5sN24qpQtifs96CsnUwEGql4\nDQBZiTMGmGXt8zjt8asP7WeuPa8N2/Zrw7b9nlUVyiZMoPuiMWaXpJcbYz4naY2kT2XbrPiCFu1I\nyyXnnKxb7jmwaFt9rLZQUsIt+Q9KJuvjtUj1CuOcLcnD4Bc3yhc8zH3T7AxG6UA/fajt28lP0gcY\nfE/OYDeDKwAiqlTMRjq84k+tt4hC1DgZNjZmNZCX9PW9FqdzZow26mOus4m9Sl1I6Z3wSDpZwm/h\nvbPW79DyRl0HDx9ZOIkQdaZ12IX93DiXnPYvtB2U13nl7YPCtilMJ64qZXvCHhNetSRResRrAEhB\nnAHlNCc2ptEetzGupw4+77vmhqMqg8+OwJrQ1trflfQ+SR+W9GVJr7PW/l7WDYsraNGONEzPtLT1\n7x5dsv2oupcLetV/8UsmnYLiUTo4UepEn3j8eGCS2pxoaPXZK0K/vhtnIL5flLqdbnUo3Z6zf8Gg\n3evXxO4YptmBTnJpZ161zAEMt6rFbKTDM/50FCtOhomNWQ7kJX39oLJZm9b9xyUJ8Fhve9aS1pf2\nG4x11tIYnMUepcah3/M7daeD9C+0HZTXhc3Pw6bxbrVMr77ojErWNg1zTNTHl+bIqAbiNQCkI846\nMVnWPo+7bs3gGNdzJSu9m5bAmdDGmDdKWqHuwgl/KOl/GmM+aa2dzrpxccx6zFT12h7Hlp3WtWTD\n/NGObrv30SUJvJP8e50RaU40tHv9msjt6D9bEjQj+vCRowsHvdsZn/4v3PXT+1zfRyguvYTIM5cH\nnyPFEwiD4l724CbJgHZetcwBDLeqxWykI+1LCt1iY32spheecJxmD7UzLxuV9PUnPGbXTvSuiiuy\nDFbSmTdxZyqHnVXrt+/23PBGrfr4VwJLv0gDs3J88rqw+fnxxwXOm1kwLGV6QuWoVOKoLOI1gFET\nVC4srrh5XVb5Qlp5ZlkrHyQVphzHRklrJU1Kmpf005K+IqmUATLL2i4OvwPBq2Pw2OycPvX28zV1\n+95FA9hus3yz0D7aXZDHGez2+0LcOLlSN06uDN3RWPQ6IRb+Ofj8EW3cvl/Xbt2z5PXTXkwoiNsP\nRJwvetIZYXnVMgcw9CoVs5GOtC8pLHqtgqSvH+aquKCOR9k6So64pTL682C/9xa076LmhUF5Xdi8\n6/kjwzkbyM/gseK2iKOT35dl0D2r782QIl4DGBlJF2YOUrYT0EnbMz3T0qHDR1JsUXmEGYR+3lr7\nb8aYSUm/b609Yowp7aIJbrWane1piTMLZSH5T3GWb9hVsx2Pzc5peqaljdv3L3QiDj7vfWDHnT0+\nOHDqt8r94I9PGQZjwyzw1K+ZQpKdx8kTACOhUjEb6chi0LhsyXwUSa+KK3NHqRnjZHn/CYmg9xa0\n78LmwE4FjqC87swfSX+Wz7AOhHrt97LMksr6ezOEiNcARkYVr/wuKp+IOs5XNWEC3RPGmK9JeqG1\n9m+MMVdJOhjmyY0xn5T0mt7rbJL0TUlfUHc14Mclvcta+3yslnvY8e3HPbeHWVU7jKDkuz5Wc53t\nvGHb/lRn+YZdNduxvFHX1B17F7Vhdq69aAEZ6diXLaiLMVaTXKqSLBk4DWpn/49P3oOx0zOtRfuk\nNTunsVq3xt7gZ+UlTimVQXmcPAGqalgHFDISK2YXEa+RrioPGg9KOpgVJpfw+10pc0fJK1/oNyZp\n+bK6a+mSoPc24XEifmJZt5RJ2EkYTn4Y9Fn87T8/Fer5JkIuMJ7FQGj/sZKnwRzVy1iGZeuiKPP3\npqSI1wBGwvRMy/OEaVmv/HbLJ67dukfXbN2TyiREP1HH+aomTIG1qyVNSbq4d3u/pHcEPcgYc4mk\nH7fWvlrSz0j6tKSPS/qstfY1kv5J3cUYUuU1gzXq5YN+AlehdpntfN8jT3muWhn3ixf1ce35o66J\nrHMpn7R4gbwg4zWFKrgepp3OfeIWcY9r4/alJwaOdronDvqL1HtJK/H/873uJ0/ufuDJdF4AqCgW\n7YwscswuKl4DXvwGs8IIyiWCfle88pbW7JzOWr9DqzfvKuw3KExeMD5e0w1vPtd1UUqv/M7Z7jXG\n7Gw/aVm4wWAnPwr6LNwmM7h503mnhLpf0mNn0OCxkie3HNVN2H2YtTJczVgxxGsAQ8+Jo17KduX3\n9ExLqzfv0jVb9yzJJ5xw69UfdR6bJFf0G7AP4/9n7/7jJKvrO9+/q2sKqEFDQ8IVpgAZvcl31klH\nOqCwmajMqOmNCPYOGoJz1Q3ZjfcmZiOY3ttjjAyGm+lkYjRrjDcxxl8QdhRIB+4Yx8iwakYhMtsz\njpPlu4YgP2ogkEATYSrQ0133j6rqqa4+31PnVJ2fVa/n48GD6dNV53zrdJ3z/Z7P+ZzPNyP3pX0F\nCUJ/UtKvSvojY8yfSfrPkj4S4H1fl/S25r/nJZ2qRid7R3PZnZLeEKaxWeEXEC0U5JntfMu9jzjf\n0+uBF/Z9z73gvpvSGiCGueuysKRAM4oGaWfrNXHOUurFdXPiWMCZSJfq6vtidHau6rxBkYULXiBN\nUQcUhkAvffbA9tfDJIqBb1b0G8zqNpbodl7xG7ekfTMsyD5oPWXnpego+txa7hqPtJYHrUbXCoxG\nNa4LelM+6hsIaWYj9ZJAk+Z5wHXcZC3AkCH01wAGnl8/GmeyYS/CJGR2Xo9GkTjVLWDfTalY0LZL\nzuv5/UkJUo7j1rZ/lyT9tKQXur3JWruoE48U/aKkL0maaHs86AlJwdIaQug2I3oUJscruu+hp1Y9\nDlkcKWjRkY7g9/hiryUXAs2aHVBrgBg2WyHI479B2vnc88c1O1ddXl8WHttrnXy6nYSq87VVJU3C\n6BZMaz+J9boNIK/IrAotdJ+dVn+N6MzOVVdMfNxvv5Q2VwmHkUJB66f3BCrL4zeW6HZeCVLyIq0y\nA0En8nN9Rtd4tLXcVfO5FaR+xhGk9uP3tyiXRlQLcOM/aFaQ3/7pZTyVp74m7ZrMUU+QOgTorwGk\nKomSh379aJzJhr0Ie+O5fbwRtiSV177v58b36WtLuv7yjZocr+j2A48GTqpMQ9dMaGvtnrb/Zq21\nvy7pgqAbMMa8RY1O8j0dv4olU3zHFRtV6qiRUBopaMcVGyPdzkUvPWPVdkbUGEx7cc02LvVecqE9\nu0RyZ7d006pZLcWTrdCZBTNaLunUk1Y+mjlfW8j1I/YLS3XtuONIT+8NeoFD9ieGEZlV4fTTZyfd\nXyM6O+44smIuCqm/filtXiUcpEagNIpM5G7nlaDjsjQmhJuaMIFKgZ3mSL5wlRhrLe8WpA567g2a\n/LFz608Eeiwz6BjX9d1pF2Y8lae+Ju0nh5J+mjHv6K8BpCmpkoeufrQyWs5c/xD2xnP72CRM4pRr\n3/c6riyNSGtPWqNrdx/Uppl92nrhOatilVnSNRPaGPOmjkVnS3pZkJUbYyYk/Yakf2etfcYY86wx\npmytrUmqSDoatsHdxDFDvJdde63nBd9xRyZ0aaSgFxx13frJsujMLvnA7OGu2TvtRssl7bhi4/I6\nosyu9mvnppl9eu6FlZ8775OXuB5h7cY1CZCXrMyADiSFzKpweu2z0+ivEZ1uJRTypnMsN+KRndvP\nmKHbeSXouCyN8f19Dz0VqAbwwqJ3Bky3z94tEzpIlniY5I/Ov7XrowWdEDHo+oL+jeMaF8ehW73v\nJGTlacY8oL9m4mkgTUlNJpuHa7nWuSjsFAuL9XrX93oF4V373jUG8zMiSYXCiqf4bztQ1VWvPld3\n3/9kJuNHQcpxvK3t33VJ/yJpW7c3GWNOk7RL0husta2pr78q6UpJNzX//+VQrc0Qv0f9vLywWHeW\nCokyyyJMVnVltKz901tWLGsfvAf5wr58+5d09cXn6sbJsVDtzOMj9qevLWntSWsiP5DDnGd6zXZv\nx4APeZLUjcUBErrPHvT+Gr35wOxh3XLvI1qs11UsFHrq6/vRHsxaP73H8zW9jhm6nVeClrxIY0I4\nvzlG2rnmAen22btlQrvGmcVCQUv1et/naNcFWNdJwdu0f3c2zezz/FsGHXsHDWqnaaTgPkakaMaO\niMVQ99dpl48Bhl1S8ZisX8t1nos6lUtFnbxmxFnyt9t7vYLtYUumlUsj+teFJa0bLWvzhjOXg8ut\nMdPS4upEjVvufURLIQPaSekahLbW/oIx5mWSXilpUdKctTbICPgqST8i6QvGLO/4d0n6U2PMuyU9\nJOmzPbXaR1IdWi93KXZcsTH2u0BBTxrtJTg6tQbvL9/+pa6fcbFeX86ICXNx6rrAy+pjj+VScbnG\nzsu27/G88Bwp9BbgDVNfMex3rhMDPuQRmVXB9dhnp9JfIzojBe+AaK+Zup1PVfXa10cljjGD33kl\ny9mv/Y4DpNWfvTWZ3dG2C5pOrSCwa5y5VK/rwZnLQrelc1zi+nz9zJ/SXi9d8h8De2nfX+f7BHvT\n0u1mSBTfGURv2PvrpLIw40BCDwZBkvGYLF/L+dVhrjSPb0mecbxCQV3f6/W5XfveNQY749STVySP\ndgucS9nu+4OU45hSo8PbL+lkSTuMMZ+01n7C733W2j+R9Ccev3pjLw0NKqkOLewfdbRcSuQuUNDs\nnYWlum64s1Er0rX9qy8+N3Bpj1vufcT3wrSzs9684UzddqCa+mMZI5JcJdsro2XPv5NrsL9UV08B\n3qB/s1ab+pHnAR+A7nrps9PqrxEdv36pF65s2259fVySfpSzc7wmeT/pFuWk11EL2rYgQeD2fR31\nRWvQSXjCPOnXPuYcXVta/ZlykhjsN0YNo9+xI+Ix7P11Hp+KlUjoweDIQ5mMJLjOOQVpVdWAzjje\ntbsPBn5vO9e+d42HOtvYzwSGWRCkHMekpIubs/HKGLNG0tck+Qah05JUh+bKOipIWjNSWJVx0aqN\nF/ddoKkJo/c6DoZOTx9b8O00Wxeaf37vw31lWXh11jff87DqOnG3x+9OUZx+yFEixTXBpNQYzLvu\nXPUS4A3zN+s1E6glrwM+AIHlqs9GNFz9Uq/Bp24lGZKWxqOc7eO12bmqZzZt1JNeRyVM21wXMq7y\nGlFftAa9CR90nNI55vSac2NhsZ6Lm++uMWpY/Y4dwyBDNJSh7q/z9lRsCwk9GBRZL5ORlKDnos5x\nYdg60J3rklbve1dJ3M715T12EyQIXdDKG/FLcpc+Tl1SHZorKFuXtOttr0ztYJ4cr2jHHUcCD1q7\ndZo3To7pL/5H1VlbsMWv3pxXZ93afYv1+vLFSxonPFcpjNrC0ori7u3B+n7vXHWaHK8EDkL/f4ce\n6ysLLa8DPqTHlYnlvk2DlOWqz0Y0og4MdpucLg1pPsqZlwu1ghS6bWHLa0S9L4KWtzstYGZ30Oyg\nPFzAhSnX5qffsWNQZIiGNtT9tV+/leWbGST0YJBkuUxGUsKOoYPUkA4y/nbt+yBtGV1b8rzJnhdB\ngtC7JR0wxnxLjbjDJfJ+DCgTsvBYQdoHs1ftaT9+nebsXPcAtNQo3dHL+qV07x4HLYXR3sbJ8Yru\ne+ipFRM2XXlhxTn7aJQB3n4zYrJwfCBfXI8CR/GIMGKRqz4b0XD1S732q65yXH59/aBLe2wXRC81\nmV3joJFCQeun93gGgKLcF0Gz64Pe/wgaCMrDzfcw5dr8RJFNHQQZoqENdX/tuqEl9VbeMCkk9ACD\nJezN9SA1pDvfG/TGWre2zM5VdcOdR3IdgJaCTUz4B8aYv5Q0rsbd2Rlr7UOxt6xHSWWrjDoekctC\nfcDOfXBauaTnXjiuhUXvgb6r02zd5fFTLBR09cXn+mZYBBlEd7toiOuOeJjJh1ptnJ2r6rYD1eUL\np8V6XbcdqOrKCyuZqHPtJy/ZXAB6k7c+G9Fw9UsXvfSMns7vrT69Pajdra9HPrnGQa3vUi8BoDBj\nNlcpmU7zAS+4gow5szY2cwkzRi0o/RRaMkTDob/2vqG1aWZfpm9mkNADDJ4wN9fD1JCWwj8l5FX2\n49rdB3VauaQfPH9ci71O+JIhziC0MeaXHb9aZ4yRtfaPYmpTLuy4YmOm6wN6zXzuVabDr9MM8kjj\nAzvf1LUtmzec2XWCw/ZAeLdJDKO8I+4VlH36ued1bGF1nmfrUVBXpsfd9z+pnVvHegrwnp7gIxV5\nyOYCEA599nCLIwPxxskxgs4Z5BovzwJa1gAAIABJREFUnL62tySIznHQiEd5jDDfJa+LralbD2nH\nHUf0TG1h1dgoyBhRCl6OwytAVCoWdOpJazy3n2Wdfxu/y84HZy7T+dN7kmmYAxmiwdBf+8v6zQwS\neoD+ZLncThBh+7pexuhesbuknmpKgl8mdPssFu+S9NmY2xKJpOqR5a0DagUewxz03Tr7tT6T97Xr\nNqN5eyDcbxLDdlHeEe8Myo5/6CueQejWo6CuDJvqfK3nAO/1l2/U1K2HnNnqANBFLvtsRMOvX0I0\nsnLR5DVeKBULuv7y3pMg2scu6x2BzKABIK+LrYXF+vLFU+e4fM93Hgu03qDlOPI2Pu+m/W/zit/8\nK8/xadDxeNzIEA2M/tqHX4AnK+dhEnqA3sQVq0vy3BC2r+t2Y61bAuYgcgahrbU3tP5tjLm0/ecs\nS7IeWR47oDBtPq3LrNw1j4GwF78Ll866OX6TGHaK6+La9chna3kcEzYFzXZJb0ooAFmW1z4b0cji\nRIKDJEsTrsUdZO03mzXsPBtBnwILWo5Dyuf4PAjXuLu13FWSI6mzwKDdAIgL/bU/V4Bn84YzM3Me\nBtCbOGJ1fmO01jaj7JPC9nXdbqwFScAMYqQg9VupI6nLhiATE0rplxkLLOuP8ORJty9h0AsS14FX\nGS2vqpsT5u8U18V1twsw1yQ6QSfXcWm/aHI9UpmbAxFAmjhVDJm4+iU0ZG3CtTiDrP1ms7puiHQK\nOy6npEP38alrryd5FhjUGwAx4iTdwRXgydp5GEB4ccTqXOeG675wcEVQNuqSrn7raM9uHl1bUmmk\nsKKMb2tcFSYBs5t6PfgYzG8dScjG81sRcg1Skxy8zs5VtWlmn9ZP79GmmX2anasmtu0odcs6qc7X\nAn2+qQmjcqm4YpnrgibM3ymui+vNG870Xe4KfgcJig/KdwMAkB399EsuSfdXWe4fs57gEOW+mxyv\naOfWMVVGyyqokTCwc+tY4Au2oGOz1ngv6ITerrHZMJmaMCqNrDymSyMFyl1g4EyOV7R/eosenLlM\n+6e3aHK8kvnzMIDu4ojVuc4BXlnBrRtXcWplN1ebT7c/fWxBKjTGO53jqrDnrxGfYf260XLf8bFy\nQuW9/CYm/LYagfhC40fzt81fFSTVrbWvTqB9oaVdjyxLj2z2K8gM40E+X5hHFrz+fq7HCysx3Vhw\n1bBuLe814yzMdyPqiYcADLa89tmIRtSZ0EmPZbI+dsryhGtZ23eVAGPH9nG510TfXrrNLzI0Oi9A\n235m7JgP9Ne9yfJ5GMMrK3XKu8lKO+OI1QWJWbWL+8aVa26MU09eo4PX/8yK5a62e8W/Tj2pqBeO\nL2nJY2zfnlndT8na548HK7fbL79Q91slva35/7Hmv9/WtjyT+s3g6Jffo0Jp6iVLJmjWSZDP53VH\n2/W6zr/ftkvOC5xJHYVud9pdwe9uQfEw343LfuJsz3W4lgMYernssxGNXvsll6THMlkdO7WEeaIr\naVHvu9m5qqZuPbScwVOdr2nq1kOBs6u99lWpWPDMAJIa475db3vl8rjPpZ+Lxixn2Yexa69dNYH1\nwmJ9+W/N2DE36K97kOXzcBwG5bw1yDozXls3gbP2t8pSO+OI1XmdG/zEeeNqdq7qDAJ7jWNc57Vt\nl5y3Yh999KoLNLr2JOcN+ysvbJQH6fepsX5rSgflNzHhQ8k0IXpp1iPL4qNCvWbJBJ2xXIr283n9\n/S566RmJ3b3rdqe91zt4Yb4b3bKxAaBdnvts9C/qzJKkxzJZHDu1y/KEa1HvuxvuPOIZ6LzhziOB\nPm8v+6p93LdpZl+k2Y5ZyxTvR7e/NWPHfKC/7k2Wz8NRG6Tz1iDLS53yrLUz6lhd57lhxKcucpw3\nrlrHrYvXOCbMee3a3Qed677tQHXF/7Mu6MSEuZLm4wZZfFSo1xNP0BnLpfg/X5I3FrpdzE+OV/Tx\nu7+n7z3x3PLvzzn9lK7tC/PdyPoFOQAgO3rtl1ySHstkcezUKasTrkW971xjvzBjwrD7qn3cflq5\npFKxsCIQ3s9FY9YuvvvR7W/N2BGDLqvn4bC6xSoG6bwVhayUkuiUl3Nut3Zmdf+G0X5u6LyJ0zJa\nLmnHFRtj+2xex21Laxzj2tdB2uRXdqS2sKhb7n0kNxOSD9zEhGk/bpDFR4XiPkGm/fmi1u0xkW2f\n/NaKC31J+t4Tz2nbJ7/lu94w343THBP1uJYDAIZXr/2SS9JjmSyOnfIi7/uuc9w+X1uQ6o06xlE8\nqpuXIEEQ3SbOZuwIZF+QWMUgnbf6lXZsx08ck+zFwa+dWd6/vfKK5Xz0qgt08PqfiTW47nd87tw6\nJkl97etuZUeiCEAnNYfEwGVCp33nMIuPCvWaJTNaLjUuBnxUMvD54uB3R2r/A0+FWt6+TinYd6Pg\nKIzoWg4MskG4Qw/Eqdd+ySXpsUwWx055EfW+c439RmMKZHpO4LNU19qT1mjugz/jeFdwUWSKt/dB\naepWboOxI5B9QWIVeXg6KClpx3b8xDHJXhz82pnl/duPOJ+acF2X+mUqv3f3QRU9yoSE2det17zv\nC4c8A85e6w8rqUTqgQtCZ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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "eGbsXkUBmQl4"
},
"source": [
"**Simple linear regression**\n",
"\n",
"In simple linear regression, a single independent variable is used to predict the value of a dependent variable. Since it is hard to *visualize* our model with multiple features, we will first predict the house prices with just one variable and then move to the regression with all the features.\n",
"For example, we can select the ‘LSTAT’ feature which shows a negative correlation with the house prices."
]
},
{
"cell_type": "code",
"metadata": {
"id": "obu3r70VmObl",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
},
"outputId": "d18b7da5-e74e-49b2-80e1-5834bee99c3e"
},
"source": [
"# Select LSTAT feature from X\n",
"X_lstat = X[:, -1].reshape(-1,1) \n",
"y_price = y.reshape(-1,1)\n",
"\n",
"print(X_lstat.shape)\n",
"print(y_price.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"(506, 1)\n",
"(506, 1)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "1d_a03_ImPvn"
},
"source": [
"# Split dataset into training and testing sets\n",
"X_train, X_test, y_train, y_test = train_test_split(\\\n",
" X_lstat, y_price, test_size=0.2, random_state=5)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "dadvnCClyO6Y"
},
"source": [
"The objective of linear regression is to minimize the cost function\n",
"\\begin{equation}\n",
"J(w) = \\frac{1}{2m}\\sum_{i = 1}^{m} (h_w(x^{(i)})-y^{(i)})^2 ~~~~~~~~~~~~~~~~~~~(2)\n",
"\\end{equation}\n",
"where the hypothesis $h_w(x)$ is given by the linear model \n",
"\\begin{equation}\n",
"h_w(x) = w^Tx = w_0+w_1x_1. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~(3)\n",
"\\end{equation}\n",
"In each iteration, we perform the following update:\n",
"\\begin{equation}\n",
"w_j := w_j-\\alpha\\frac{1}{m}(h_w(x^{(i)})-y^{(i)})x_j^{(i)} ~~~~~~~~~~~~~~~~~~~(4)\n",
"\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "IHY_zwfAIdsE"
},
"source": [
"# Ex.1\n",
"\n",
"Complete the following code to compute the cost function as reported in Equation (2)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "E9fy8e-Y5fFx"
},
"source": [
"# Loss function - Sum of Squared Errors (SSE)\n",
"def compute_cost(X, y, params):\n",
" # Implement your code here\n",
" pass"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "ijDX84vyqYH4"
},
"source": [
"# Gradient descent algorithm\n",
"Repeat until convergence (or maximum number of iterations) {\n",
" 1. Calculate gradient \n",
" 2. Multiply by learning rate\n",
" 3. Subtract from weights\n",
"\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BJV2RgnvJBwN"
},
"source": [
"# Ex.2\n",
"\n",
"Implement gradient descent algorithm as reported in Equation (4)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "0tUthCJ3z-t6"
},
"source": [
"def gradient_descent(X, y, params, learning_rate, n_iters):\n",
" \"\"\"\n",
" Output variables size\n",
" [J_history] = n_iters x 1\n",
" [optimal_params] = (n_features+1) x 1\n",
" [params_history] = (n_feature+1) x (n_iters+1)\n",
" \n",
" \"\"\"\n",
" # Implement your code here\n",
" pass"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6Z7yJXYMysgI",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 72
},
"outputId": "872ed389-269b-48a6-a59d-979b3358e9e7"
},
"source": [
"# Add intercept term to X_train\n",
"print(X_train.shape)\n",
"X_train = np.hstack((np.ones((X_train.shape[0],1)), X_train))\n",
"print(X_train.shape)\n",
"print(\"Total samples in X_train: {}\".format(X_train.shape[0]))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"(404, 1)\n",
"(404, 2)\n",
"Total samples in X_train: 404\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ksJHgG7Y0CP9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
},
"outputId": "34b3ce1f-c031-4da9-a4bd-178970c58721"
},
"source": [
"# Data initialization\n",
"n_features = np.size(X_train, 1) # n_features also contains the bias term\n",
"# Initialize parameters\n",
"params = np.zeros((n_features, 1))\n",
"print(\"Number of features: {}\".format(n_features))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of features: 2\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "EBEeDfRr0Ew4",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"outputId": "f70522d9-be49-4ab5-d5dc-f9caf289b64c"
},
"source": [
"n_iters = 3000\n",
"learning_rate = 0.005\n",
"initial_cost = compute_cost(X_train, y_train, params)\n",
"print(\"Initial cost is: \", initial_cost, \"\\n\")\n",
"\n",
"# Apply gradient descent algorithm\n",
"(J_history, optimal_params, params_history) = gradient_descent(X_train, y_train, params, learning_rate, n_iters)\n",
"print(\"Optimal parameters are: \\n\", optimal_params, \"\\n\")\n",
"print(\"Final cost is: \", J_history[-1])\n",
"\n",
"# Plot J history\n",
"plt.figure(figsize=(5, 5)) \n",
"plt.plot(range(len(J_history)), J_history)\n",
"plt.title(\"Convergence Graph of Cost Function\")\n",
"plt.xlabel(\"Number of Iterations\")\n",
"plt.ylabel(\"Cost\")\n",
"plt.grid()\n",
"plt.show()\n"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Initial cost is: 299.38922029702974 \n",
"\n",
"Optimal parameters are: \n",
" [[33.92453385]\n",
" [-0.92205139]] \n",
"\n",
"Final cost is: [19.33735787]\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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rFcaYNBG3cBSRIuBm4IUu4/OBnwIrIua7AjgSmAJcJiID41HTmMHuGmtdaV1rY0zP4tly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\n68BhzFm6gQ+Wbej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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "K4icJIPmoshv"
},
"source": [
"Plotting the model fitted line on the output variable.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "YJdFABACYGfd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 439
},
"outputId": "47a6351f-0572-49d6-861c-b12331a551d9"
},
"source": [
"plt.figure(figsize=(7, 7)) \n",
"prediction_space = np.linspace(min(X_lstat), max(X_lstat)).reshape(-1,1) \n",
"plt.scatter(X_train[:,1], y_train)\n",
"plt.plot(prediction_space, optimal_params[0] + prediction_space * optimal_params[1], color = 'red', linewidth = 4)\n",
"plt.ylabel('value of house/1000($)')\n",
"plt.xlabel('LSTAT (% lower status of the population)')\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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E3nwTnnvOcCuYVBbrnQaEEOnPThBzK6XcoGcOKKUOABrGtVUZzGwtWExv0Dk5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\nDNFp9pxZ78NVey2nfD2I1z6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PncvoPu0tzwl304pmeOniy85iYF4z+iz/gLsWvkjjXTv2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\nxEIIIWRWJLEQQgiZFUkshBBCZv0/301LntDhKKMAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "talkupzHAanU"
},
"source": [
"# Visualizing $J(w)$ (Optional)\n",
"\n",
"To better understand the cost function, you can plot the cost over a 2-dimensional grid of $w_0$ and $w_1$ values."
]
},
{
"cell_type": "code",
"metadata": {
"id": "gIH6TvKIAXgC",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 508
},
"outputId": "b36b15fd-2b3c-4ab8-ae54-8a7576de5213"
},
"source": [
"fig = plt.figure(figsize=(14,8)) # create the canvas for plotting\n",
"ax1 = fig.add_subplot(1,2,1)\n",
"\n",
"# Create grid of w0/w1 values\n",
"w0_values = np.linspace(-50, 50, 100);\n",
"w1_values = np.linspace(-20, 20, 100);\n",
"W0, W1 = np.meshgrid(w0_values, w1_values)\n",
"J = np.zeros((w0_values.shape[0] * w1_values.shape[0]))\n",
"\n",
"# Compute cost function for each point in the grid\n",
"for i, (w0,w1) in enumerate(zip(np.ravel(W0), np.ravel(W1))):\n",
" params = [w0, w1]\n",
" J[i] = compute_cost(X_train, y_train, params)\n",
"\n",
"J = J.reshape(w0_values.shape[0], w1_values.shape[0])\n",
"\n",
"# Plot cost function\n",
"plt.contour(W0, W1, J, 100)\n",
"plt.colorbar()\n",
"\n",
"# Plot params history\n",
"plt.plot(params_history[0, 0], params_history[1, 0], 'bx', # INITIAL POSITION\n",
" params_history[0, -1], params_history[1, -1], 'rx', # FINAL POSITION\n",
" params_history[0, ::10], params_history[1, ::10], 'r--')\n",
"\n",
"ax2 = fig.add_subplot(122, projection='3d')\n",
"ax2.plot_surface(W0, W1, J, rstride=1, cstride=1,\n",
" cmap='viridis', edgecolor='none')\n",
"ax2.set_title('J(w0,w1)')"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0.92, 'J(w0,w1)')"
]
},
"metadata": {
"tags": []
},
"execution_count": 23
},
{
"output_type": "display_data",
"data": {
"image/png": 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F9cMSGAsLC4tbj+NFYB566CHEYjG0223ZOAL7m0eSGn6z3Ol0RKnR9q94PC6W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YzGm9caFPMG+azOWj2NKAjkMjqFrM5k6pBNLxbf3cGMQn7xmRiMLcr7hMKcO9T3r8lyfFrV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\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7e8v0ej12dnYG8ywWiyPH+9e+/1v4s//2R/nff/63+L1f+xKuE3KEj2MEQYQwQZYTEkFA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\nAnoAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wfp5fdIwtWeg"
},
"source": [
"# **Multiple Linear Regression**\n",
"We will now consider all the features of our dataset. Nevertheless, some features may differ by orders of magnitude. For this reason, we firstly perform feature scaling since it can make gradient descent converge much more quickly.\n",
"\n",
"We will consider a normalization technique called Standardization which is based on mean and standard deviation of X as follows:\n",
"\\begin{equation}\n",
"z = \\frac{x - \\mu}{\\sigma}~~~~~~~~~~~~~~~~~~~(5)\n",
"\\end{equation}\n",
"where\n",
"\\begin{equation}\n",
"\\mu = \\frac{1}{m}\\sum_{i=1}^m x_i,~~~\\sigma = \\sqrt{\\frac{1}{m}\\sum_{i=1}^m (x_i-\\mu)^2}. ~~~~~~~~~~~~~~~~~~~(6)\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"metadata": {
"id": "3wNV7EMPOMkx"
},
"source": [
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
"mu = np.mean(X_train, axis = 0)\n",
"sigma = np.std(X_train, axis = 0)\n",
"X_train_norm = (X_train - mu) / sigma\n",
"y_train = y_train[:, np.newaxis]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "RK3B359MUfa6"
},
"source": [
"**Implementation detail**: For the multivariate case, we can consider the vectorized form of the cost function:\n",
"\\begin{equation}\n",
"J(w) = \\frac{1}{2m}(Xw-y)^T(Xw-y) ~~~~~~~~~~~~~~~~~~~(7)\n",
"\\end{equation}"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "A-fBH1fi-B1b"
},
"source": [
"# Ex.3\n",
"Implement the cost function for the multivariate case as reported in Equation (7)."
]
},
{
"cell_type": "code",
"metadata": {
"id": "xgLajvriUfGS"
},
"source": [
"def compute_cost(X, y, params):\n",
" # Implement your code here\n",
" pass"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Pvu1C2FiWgWD",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
},
"outputId": "00d809b5-4ca5-491c-c99a-5e272fc15f46"
},
"source": [
"# Add intercept term to X_train \n",
"X_train_norm = np.hstack((np.ones((X_train_norm.shape[0],1)),X_train_norm))\n",
"print(X_train_norm.shape)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"(404, 14)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "g5C0KCc5XGJt"
},
"source": [
"# Data initialization\n",
"n_features = np.size(X_train_norm, 1)\n",
"params = np.zeros((n_features, 1))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "0-5oum6cXOlA",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 690
},
"outputId": "482932cb-f8e1-4f76-bf3f-57bc074dbe88"
},
"source": [
"n_iters = 1500\n",
"learning_rate = 0.01\n",
"initial_cost = compute_cost(X_train_norm, y_train, params)\n",
"print(\"Initial cost is: \", initial_cost, \"\\n\")\n",
"(J_history, optimal_params, _) = gradient_descent(X_train_norm, y_train, params, learning_rate, n_iters)\n",
"print(\"Optimal parameters are: \\n\", optimal_params, \"\\n\")\n",
"print(\"Final cost is: \", J_history[-1])\n",
"plt.figure(figsize=(5, 5)) \n",
"plt.plot(range(len(J_history)), J_history)\n",
"plt.title(\"Convergence Graph of Cost Function\")\n",
"plt.xlabel(\"Number of Iterations\")\n",
"plt.ylabel(\"Cost\")\n",
"plt.grid()\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Initial cost is: 303.277698019802 \n",
"\n",
"Optimal parameters are: \n",
" [[22.79652819]\n",
" [-0.92241172]\n",
" [ 0.52523721]\n",
" [ 0.02618153]\n",
" [ 0.75241344]\n",
" [-1.82219344]\n",
" [ 3.23764248]\n",
" [-0.20037183]\n",
" [-2.89152978]\n",
" [ 1.48666009]\n",
" [-0.97428893]\n",
" [-1.98461324]\n",
" [ 1.13186226]\n",
" [-3.58157226]] \n",
"\n",
"Final cost is: [10.86855263]\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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FHpA5Cvgi8FZ3Xw/cmbD6RuBHwGJC6zFuNvBgqv21tbUxZ86cjI69dP1fAZi6yyza22dn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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "yYOHvpYfcobE"
},
"source": [
"# Predict new values\n",
"def predict(X, mu, sigma, params):\n",
" n_samples = np.size(X, 0)\n",
" X_norm = (X-mu) / sigma\n",
" y = np.dot(np.hstack((np.ones((n_samples, 1)), X_norm)), params)\n",
" return y"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SNCHKXfXc__J"
},
"source": [
"# Predicted prices\n",
"y_test_pred = predict(X_test, mu, sigma, optimal_params)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "7akjDHfNt6nx",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 526
},
"outputId": "442b1e9c-1ecb-4dfc-c512-c0798b5179d9"
},
"source": [
"plt.figure(figsize=(8, 8)) \n",
"plt.scatter(y_test, y_test_pred)\n",
"plt.xlabel(\"Actual House Prices ($1000)\")\n",
"plt.ylabel(\"Predicted House Prices: ($1000)\")\n",
"plt.xticks(range(0, int(max(y_test)),2))\n",
"plt.yticks(range(0, int(max(y_test_pred)),2))\n",
"plt.title(\"Actual Prices vs Predicted prices\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Actual Prices vs Predicted prices')"
]
},
"metadata": {
"tags": []
},
"execution_count": 34
},
{
"output_type": "display_data",
"data": {
"image/png": 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QzfLvWnLYxsCiociaNAyvfTc7QDZj71sRaaxqA8cuJFh/+2KgH8Dd3yDYqnJF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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5yA_lpJWA2PP"
},
"source": [
"# **Performance evaluation**\n",
"\n",
"To evaluate the performance of our linear model, we define the following score:\n",
"\n",
"\\begin{equation}\n",
"Score = 1 - \\frac{\\sum_{i=1}^q (y^{(i)}-\\hat{y}^{(i)})^2}{\\sum_{i=1}^q (y^{(i)}-\\overline{y}^{(i)})^2} ~~~~~~~~~~~~~~~~~~~(8)\n",
"\\end{equation}\n",
"\n",
"We also compare our model to the *Scikit-learn* linear regressor."
]
},
{
"cell_type": "code",
"metadata": {
"id": "sCtUnJmveVgZ"
},
"source": [
"def score(y, y_pred):\n",
" score = 1 - (((y - y_pred)**2).sum() / ((y - y.mean())**2).sum())\n",
" return score"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "E4IeluuyrJAk",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
},
"outputId": "7377e097-f800-4659-fdf5-0d4fa38bd749"
},
"source": [
"# Sklearn linear regressor\n",
"sklearn_regressor = LinearRegression().fit(X_train, y_train)\n",
"sklearn_train_accuracy = sklearn_regressor.score(X_train, y_train)\n",
"sklearn_test_accuracy = sklearn_regressor.score(X_test, y_test)\n",
"\n",
"# Prediction for training set\n",
"y_train_pred = np.dot(X_train_norm, optimal_params)\n",
"train_accuracy = score(y_train, y_train_pred)\n",
"\n",
"test_accuracy = score(y_test[:,np.newaxis], y_test_pred)\n",
"print(\"Training accuracy Our model -> %f\\tSklearn's implementation -> %f\" % (train_accuracy,sklearn_train_accuracy))\n",
"print(\"Test accuracy Our model -> %f\\tSklearn's implementation -> %f\" % (test_accuracy,sklearn_test_accuracy))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Training accuracy Our model -> 0.749784\tSklearn's implementation -> 0.750886\n",
"Test accuracy Our model -> 0.660219\tSklearn's implementation -> 0.668759\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TNOyNkx4FS7M"
},
"source": [
"# Additional 1\n",
"Try out different learning rates to converge quickly. Choose different values of the learning rate on a log-scale."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Viurvs7rjQ1b"
},
"source": [
"# Additional 2\n",
"\n",
"Linear regression problems can also be solved (in one step) in closed-form using the following formula:\n",
"\n",
"$w = (X^T X)^{-1}X^Ty$.\n",
"\n",
"Such formula does not require any feature scaling."
]
}
]
}