{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Linear Regression\n", "====================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n", "$\\newcommand{\\eqdef}{\\equiv}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This tour studies linear regression method in conjunction with\n", "regularization.\n", "It contrasts ridge regression and the Lasso." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We recommend that after doing this Numerical Tours, you apply it to your\n", "own data, for instance using a dataset from .\n", "\n", "_Disclaimer:_ these machine learning tours are intended to be\n", "overly-simplistic implementations and applications of baseline machine learning methods.\n", "For more advanced uses and implementations, we recommend\n", "to use a state-of-the-art library, the most well known being\n", "" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "library(plot3D)\n", "library(pracma)\n", "library(rmatio)\n", "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "# Importing the libraries\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Helpers:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Xm = function(X){as.matrix(X - rep(colMeans(X), rep.int(nrow(X), ncol(X))))}\n", "Cov = function(X){data.matrix(1. / (n - 1) * t(Xm(X)) %*% Xm(X))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dataset Loading\n", "---------------\n", "We test the method on the prostate dataset in $n=97$ samples with\n", "features $x_i \\in \\RR^p$ in dimension $p=8$. The goal is to predict the price value\n", "$y_i \\in \\RR$." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Helpers." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Xm = function(X){as.matrix(X - rep(colMeans(X), rep.int(nrow(X), ncol(X))))}\n", "Cov = function(X){data.matrix(1. / (n - 1) * t(Xm(X)) %*% Xm(X))}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Load the dataset." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "mat = read.mat(\"nt_toolbox/data/ml-prostate.mat\")\n", "A = mat$A\n", "class_names = mat$class_names[[1]]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\t\n", "\n", "
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-0.1625189 | 1 | \n", "| 0.7514161 | 3.432373 | 62 | -1.386294 | 0 | -1.386294 | 6 | 0 | 0.3715636 | 1 | \n", "| -1.0498221 | 3.228826 | 50 | -1.386294 | 0 | -1.386294 | 6 | 0 | 0.7654678 | 1 | \n", "\n", "\n" ], "text/plain": [ " [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] \n", "[1,] -0.5798185 2.769459 50 -1.386294 0 -1.386294 6 0 -0.4307829\n", "[2,] -0.9942523 3.319626 58 -1.386294 0 -1.386294 6 0 -0.1625189\n", "[3,] -0.5108256 2.691243 74 -1.386294 0 -1.386294 7 20 -0.1625189\n", "[4,] -1.2039728 3.282789 58 -1.386294 0 -1.386294 6 0 -0.1625189\n", "[5,] 0.7514161 3.432373 62 -1.386294 0 -1.386294 6 0 0.3715636\n", "[6,] -1.0498221 3.228826 50 -1.386294 0 -1.386294 6 0 0.7654678\n", " [,10]\n", "[1,] 1 \n", "[2,] 1 \n", "[3,] 1 \n", "[4,] 1 \n", "[5,] 1 \n", "[6,] 1 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "head(A)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Randomly permute it." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "A = A[sample(dim(A)[1]),]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Separate the features $X$ from the data $y$ to predict information." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "X = A[,1:(dim(A)[2] - 2)]\n", "y = A[,dim(A)[2] - 1]\n", "c = A[,dim(A)[2]]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "$n$ is the number of samples, $p$ is the dimensionality of the features," ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] 97\n", "[1] 8\n" ] } ], "source": [ "n = dim(X)[1]\n", "p = dim(X)[2]\n", "print(n)\n", "print(p)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Split into training and testing." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "I0 = (c==1) # train\n", "I1 = (c==0) # test\n", "n0 = sum(I0)\n", "n1 = n - n0\n", "X0 = X[I0,]\n", "y0 = y[I0]\n", "X1 = X[I1,]\n", "y1 = y[I1]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Normalize the features by the mean and std of the *training* set.\n", "This is optional." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "mX0 = apply(X0, 2, mean)\n", "sX0 = apply(X0, 2, std)\n", "X0 = sweep(X0, 2, mX0,\"-\")\n", "X0 = sweep(X0, 2, sX0,\"/\")\n", "X1 = sweep(X1, 2, mX0,\"-\")\n", "X1 = sweep(X1, 2, sX0,\"/\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Remove the mean (computed from the *test* set) to avoid introducing a bias term and a constant regressor.\n", "This is optional." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "m0 = mean(y0)\n", "y0 = y0 - m0\n", "y1 = y1 - m0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dimenionality Reduction and PCA\n", "-------------------------------\n", "In order to display in 2-D or 3-D the data, dimensionality is needed.\n", "The simplest method is the principal component analysis, which perform an\n", "orthogonal linear projection on the principal axsis (eigenvector) of the\n", "covariance matrix.\n", "\n", "\n", "Display the covariance matrix of the training set." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "C = t(X0) %*% X0\n", "image(1:p, 1:p, C, xlab=\"\", ylab=\"\", col=topo.colors(5), ylim=c(p + 0.5, 0.5))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "barplot(t(t(X0) %*% y0), xlab='', ylab='', col=\"darkblue\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute PCA ortho-basis and\n", "the feature in the PCA basis." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "svd_decomp = svd(X0)\n", "U = svd_decomp$u\n", "s = svd_decomp$d\n", "V = svd_decomp$v\n", "X0r = X0 %*% V" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Plot sqrt of the eigenvalues." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "plot(s, type=\"o\", col=4, ylab=\"\", xlab=\"\", pch=16)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the features." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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IGdx86O/TN9OsXGUu/e7IJ5/FhTpcGDWZ5Nm+irrwiggweJiAYOFGdrCycnfVen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PH3adNq3SyJEdO3QIzs54Fiwou3OnR9my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\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bqxYAFC0KQJ7u7MmsWKFXKVmRnx8XTv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\nD3L4MJdfTkQEeXkoxZAhPPIIFL9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Av2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\nQgghAk4CDiGEEEIE3P8HwE8and935acAAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=6, repr.plot.height=6)\n", "\n", "panel.hist = function(x, ...)\n", "{\n", " usr = par(\"usr\"); on.exit(par(usr))\n", " par(usr = c(usr[1:2], 0, 1.5) )\n", " h = hist(x, plot = FALSE)\n", " breaks = h$breaks; nB <- length(breaks)\n", " y = h$counts\n", " y = y/max(y)\n", " rect(breaks[-nB], 0, breaks[-1], y, col = \"darkblue\")\n", "}\n", "pairs(X0, col=\"blue\", diag.panel=panel.hist)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the points cloud of feature vectors in 2-D PCA space." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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CJr9fQpfvwRFy7A3h716qFbNzg5qV0T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\nQGu1+OAD6YfIt27FqFFo1kyxc7m5YcgQI44/csRgl6FnTACkpOD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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "plot(X0r[,1], X0r[,2], col=\"blue\", pch=16, xlab=\"\", ylab=\"\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "1D plot of the function to regress along the main eigenvector axes." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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cPox33sHYsfj6a0Ure0m/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\n1ZQs8xjf8wAAAABJRU5ErkJggg==", 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2+WixAjPEcYu9E4xmuMv8C/6U/RFCbO8N7ftf8kn0lx7nE2l4KEkE5OnQyuPdla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\nYx+2lRjtfLStZJsp16KtEP0sbszO8QbWxsY6Ljo5Oc2aNevsWbN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ID+/eWfYqpr4UL5+7S5uVZOZ/qoadOwY4fSDv/7H7y91TmX1ZSnBFJrwiDlW9/s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\nnXfsXg09gkFIpKX79xETY8H+O3bYrBSyGYXvWlQUVynRHoOQSEs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FP5vK8H4f3D/8VzmzTifHhRtibIC9YrXi2AHytbl8O/joZ8yAlbvOmK5FjIzP/8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\ndmzV6iTHz0e/0sF8+gaStHRFmOy+/PJL4KyzziooKNi3b9+OHTu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XAuvBRpC+da79emKQE2204FHNyB9hnrbiMPVDafsO/shhkwDh6B4dAjbIVz4PXU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\n/pL6+eef09LSqlWrdvDgwXiXV6kY6j/y73f77bdv37599+7df/3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06nu3z58tbWVigUSqVS3B01p9NZxwXjLay7u5vvXiA3yUUsMpns3LlzKysruYVJ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\nUV1dXRW/bCqVunv3biqVyn0wGo1Go9HcR7giOMlkcmpqquL3gla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mXLNF2LBE0nsQ7QrecIQUZv376dNWuW6A1Ib2/vR48eSa555MgRWX6V+vfvX1FR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\n2hwdHW/evHnlypUrV65UVVU5OztPnDjxk08+kXuDW7duvXXrVm1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REIQAAMBoCEIAAGA0BCEAADAaghAAABgNQQgAAIyGIAQAAEZDEAIA\nAKMhCAEAgNEQhAAAwGgIQgAAYDQEIQAAMBqCEAAAGA1BCAAAjIYgBAAARkMQAgAAoyEIAQCA\n0RCEAADAaAhCAABgNAQhAAAwGoIQAAAYDUEIAACMhiAEAABGQxACAACjIQgBAIDREIQAAMBo\nCEIAAGA0BCEAADAaghAAABgNQQgAAIyGIAQAAEZDEAIAAKMhCAEAgNEQhAAAwGgIQgAAYDQE\nIQAAMBqCEAAAGA1BCAAAjIYgBAAARkMQAgAAoyEIAQCA0RCEAADAaAhCAABgNAQhAAAwGoIQ\nAAAYDUEIAACMhiAEAABGQxACAACjIQgBAIDREIQAAMBoCEIAAGA0BCEAADAaghAAABgNQQgA\nAIyGIAQAAEZDEAIAAKMhCAEAgNEQhAAAwGj/F75mITVhxsG5AAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=3)\n", "for (i in 1:p)\n", "{\n", " plot(X0r[,i], y0, col=i+1, xlab=\"\", ylab=\"\", pch=16)\n", "}" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Linear Regression\n", "-----------------\n", "We look for a linear relationship\n", "$ y_i = \\dotp{w}{x_i} $\n", "written in matrix format\n", "$ y= X w $\n", "where the rows of$X \\in \\RR^{n \\times p}$stores the features$x_i \\in \\RR^p$.\n", "\n", "\n", "Since here$ n > p $, this is an over-determined system, which can\n", "solved in the least square sense\n", " $$\\umin{ w } \\norm{Xw-y}^2$$\n", "whose solution is given using the Moore-Penrose pseudo-inverse\n", " $$w = (X^\\top X)^{-1} X^\\top y$$\n", "\n", "\n", "Least square solution." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "w = solve(t(X0) %*% X0) %*% t(X0) %*% y0" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Prediction (along 1st eigenvector)." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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L+BveC7t9cJDW47Jb3/Pmq1vzqg+oAEtM8oP8fbtvXqOmHbTdAO/fuTm8vq1bS0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\nCgvR6ew7Pat2oIsjxn3PpC6KiiI21qlnv4spjkTr9qaWqMRh511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Abt3CUb0TrL0Q0OfOgSYSdbgtoKu2AycbpgA9NcUBoGLUw7RUc2Kp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"text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "plot( X1 %*% w, type=\"l\", col=\"blue\", ylim=c(min(y1), max(y1)), xlab=\"\", ylab=\"\")\n", "lines(y1, type=\"l\", col=\"orange\")\n", "legend(\"topright\", legend=c(\"X1*w\", \"y1\"), col=c(\"blue\", \"orange\"), pch=\"-\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Mean-square error on testing set." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1] \"Relative prediction error: 0.721993078573196\"\n" ] } ], "source": [ "E = sqrt(sum((X1 %*% w-y1)^2 ) / n1)\n", "print(paste('Relative prediction error:', E))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization is obtained by introducing a penalty. It is often called\n", "ridge regression, and is defined as\n", " $$\\umin{ w } \\norm{Xw-y}^2 + \\lambda \\norm{w}^2$$\n", "where$\\lambda>0$is the regularization parameter.\n", "\n", "\n", "The solution is given using the following equivalent formula\n", " $$w = (X^\\top X + \\lambda \\text{Id}_p )^{-1} X^\\top y,$$\n", " $$w = X^\\top ( XX^\\top + \\lambda \\text{Id}_n)^{-1} y,$$\n", "When$p\n", " $(document).ready(function(){\n", "$('div.prompt').hide();\n", " });\n", "" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }