{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Solution to Assignment 3\n", "\n", "**MATH7502 2019, Semester 2**\n", "\n", "[Assignment 3 questions](https://courses.smp.uq.edu.au/MATH7502/2019/ass3.pdf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) The weighted least squares problem can be writen as trying to approximatly solve the equations $Ax = b$ where each row (each $i$'th equation) is scaled by a strictly postive $w_i$. This can be written as minimization of \n", "\n", "$$\n", "||D Ax - Db||^2 = ||D (Ax - b)||^2,\n", "$$ \n", "\n", "where $D$ is an $m \\times m$ diagonal matrix with diagonal elements $\\sqrt{w_1},\\ldots,\\sqrt{w_m}$. Thus it is a the standard least squares problem minimizing $||Bx - d||^2$ where $B = D A$ and $d = D b$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Take an $\\tilde{x}$ with $D A \\tilde{x} = 0$ (we aim to show that $\\tilde{x}$ must be the $0$ $n$-vector). Since $D$ is square and non-singular we can multiply both sides by $D^{-1}$ to get, $A \\tilde{x} = 0$. However, by assumption $A$ has linearly independent collumns then the only solution to $A x = 0$ is $x=0$. This means that $\\tilde{x} = 0$. Hence the only element in the null-space of $DA$ is $0$ and hence $DA$ has linearly independent collumns." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Using $B$ and $d$ we have\n", "\n", "$$\n", "\\hat{x} = (B^T B)^{-1} B^T d = (A^T D^T D A)^{-1} A^T D^T D b = (A^T W A)^{-1} A^T W b,\n", "$$\n", "where $W = D^T D = D^2$ is the diagonal matrix of weights." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) We know that the $\\hat{x}$ that solves the normal equations $A^TA x = A^T b$, is given by \n", "\n", "$$\n", "\\hat{x} = A^\\dagger b = R^{-1} Q^T b.\n", "$$\n", "\n", "Now $A \\hat{x}$ is the \"predicated\" value, closest to $b$ within the collumn space of $A$. Using $A = QR$ it is given by,\n", "$$\n", "A \\hat{x} = QR~R^{-1}Q^T b = Q Q^T b.\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Using the above and $||u-v||^2 = u^T u - 2u^Tv + v^Tv$, we have,\n", "\n", "$$\n", "||A \\hat{x} - b ||^2 = || Q Q^Tb - b||^2 = (Q Q^T b - b)^T (Q Q^T b - b)\n", "= (Q Q^T b)^T Q Q^T b - 2 b^T Q Q^T b + b^T b.\n", "$$\n", "\n", "This equals:\n", "\n", "$$\n", "b^T Q Q^T Q Q^T b - 2(Q^Tb)^T Q^Tb + ||b||^2 \n", "$$\n", "\n", "and using $Q^TQ = I$ we have,\n", "\n", "$$\n", "b^T Q Q^T b - 2(Q^Tb)^T Q^Tb + ||b||^2 = (Q^Tb)^T Q^Tb - 2(Q^Tb)^T Q^Tb + ||b||^2 = - ||Q^Tb||^2 + ||b||^2,\n", "$$\n", "\n", "as desired." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For $x=(x_1,x_2)$, we aim to fit: $\\hat{f}(x)=a+b_{1} x_{1}+b_{2} x_{2}+c_{1} x_{1}^{2}+c_{2} x_{2}^{2}+c_{3} x_{1} x_{2}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) We have $f^{(1)}(x),\\ldots,f^{(6)}(x)$ as follows:\n", "\n", "$$\n", "\\begin{array}Q\n", "f^{(1)}(x) &= 1 \\\\\n", "f^{(2)}(x) &= x_1 \\\\\n", "f^{(3)}(x) &= x_2 \\\\\n", "f^{(4)}(x) &= x_1^2 \\\\\n", "f^{(5)}(x) &= x_2^2 \\\\\n", "f^{(6)}(x) &= x_1 x_2 \\\\\n", "\\end{array}\n", "$$\n", "\n", "Now the $i$'th row of the $n\\times6$ design matrix $A$ has the form\n", "$$\n", "[f^{(1)}(x)~~f^{(2)}(x)~~f^{(3)}(x)~~f^{(4)}(x)~~f^{(5)}(x)~~f^{(6)}(x)],\n", "$$\n", "where $x$ is the $i$'th data point.\n", "\n", "Further,\n", "$$\n", "\\beta = [a~~b_1~~b_2~~c_1~~c_2~~c_3]^T.\n", "$$\n", "\n", "Then given data $x$ and $y$ we wish to minimize,\n", "$$\n", "||A \\beta - y||^2.\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "f (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f1(x) = 1\n", "f2(x) = x[1]\n", "f3(x) = x[2]\n", "f4(x) = x[1]^2\n", "f5(x) = x[2]^2\n", "f6(x) = x[1]*x[2]\n", "fs = [f1,f2,f3,f4,f5,f6] #an array of functions\n", "f(x,j) = fs[j](x)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimates of (a,b1,b2,c1,c2,c3): [24.9965, -22.0, -28.0, 8.00025, 11.0002, 6.0]\n" ] } ], "source": [ "using LinearAlgebra\n", "x1Grid = -5:0.1:5\n", "x2Grid = -5:0.1:5\n", "n = length(x1Grid)*length(x2Grid)\n", "xvals = [[x1,x2] for x1 in x1Grid, x2 in x2Grid];\n", "xflat = reshape(xvals,n)\n", "A = [f(x,j) for x in xflat, j in 1:6];\n", "\n", "AA = [8 3; 3 11]; d = [1,1];\n", "yOfX(x) = (x-d)'*AA*(x-d) + 30cos(10x[1])*cos(10x[2])\n", "y = yOfX.(xflat);\n", "betaHat = pinv(A)*y\n", "\n", "println(\"Estimates of (a,b1,b2,c1,c2,c3): \", betaHat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Observe that $A$ is symmetric and consider $(x-d)^TA(x-d)$. Expanding it equals,\n", "$$\n", "x^TAx - 2x^TAd + d^TAd.\n", "$$\n", "\n", "Now treating the entries of $A$ and $d$ in the standard manner $(a_{11},a_{12},a_{22},d_1,d_2)$ this equals,\n", "$$\n", "a_{11} x_1^2 + 2 a_{12} x_1 x_2 + a_{22} x_2^2 - 2(a_{11} d_1 + a_{12} d_2) x_1 -2 (a_{12} d_1 + a_{22} d_2) x_2 + d_1(a_{11} d_1 + a_{12} d_2) + d_2(a_{12}d_1 + a_{22} d_2).\n", "$$\n", "\n", "These coefficients may now be equated with the estimated $a$, $b$ and $c$ values. For simplificty let's round the estimated values: to (25,-22,-28,8,11,6). This also kills the 'noise' from 30cos(10x[1])*cos(10x[2])." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now have:\n", "\n", "$$\n", "a_{11} = c_1 = 8.\n", "$$\n", "\n", "$$\n", "a_{22} = c_2 = 11.\n", "$$\n", "\n", "$$\n", "2 a_{12} = c_3 = 6 \\quad \\Rightarrow \\quad a_{12} = 3.\n", "$$\n", "\n", "Hence we see the matrix $A$ is exactly reconstructed (this works because it is symmetric).\n", "\n", "Further:\n", "\n", "$$\n", "-2(a_{11} d_1 + a_{12} d_2) = b_1 = -22 \\quad \\Rightarrow \\quad 8 d_1 + 3 d_2 = 11\n", "$$\n", "\n", "Similarly,\n", "$$\n", "-2(a_{12} d_1 + a_{22} d_2) = b_2 = -28 \\quad \\Rightarrow \\quad\n", "3 d_1 + 11 d_2 = 14.\n", "$$\n", "\n", "Solving these linear equations for $d_1$ and $d_2$ we get $d_1 = 1$ and $d_2 = 1$.\n", "\n", "Hence we see that by removing the noise we are **exactly** able to reconstruct the matrix $A$ and vector $d$!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first experiment numerically to determine the eigenvalues and then show analytically that these hold." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1-element Array{Float64,1}:\n", " 1.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra\n", "eigvals(ones(1,1))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Array{Float64,1}:\n", " 0.0\n", " 2.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals(ones(2,2))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3-element Array{Float64,1}:\n", " -5.624168597199657e-16\n", " 7.305347407387203e-18\n", " 2.9999999999999996 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals(ones(3,3))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4-element Array{Float64,1}:\n", " -5.660001591138239e-16 \n", " -1.2325951644078312e-32\n", " 1.0888646801245488e-17\n", " 3.999999999999999 " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvals(ones(4,4))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4×4 Array{Float64,2}:\n", " -0.408248 0.707107 -0.288675 -0.5\n", " -0.408248 -0.707107 -0.288675 -0.5\n", " 0.816497 -8.75605e-17 -0.288675 -0.5\n", " 0.0 0.0 0.866025 -0.5" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eigvecs(ones(4,4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Hence we believe: \n", "\n", "Set $A = {\\mathbf 1} {\\mathbf 1}^T$ an $n \\times n$ matrix of all $1$'s. Then the eigenvalues are $n,0,0,\\ldots,0$. The fact that $n-1$ of the eigenvalues are $0$ is not surprising. This is because the rank of the matrix is $1$ and hence the rank of the null-space is $n-1$. This means that to get,\n", "\n", "$$\n", "A x = 0 x = 0\n", "$$ \n", "we can take $x \\neq 0$ as any of the vectors from an $n-1$ dimensional sub-space which is the null-space.\n", "\n", "Now for the eigenvalue equalling $n$ we can guess than an eigenvector is ${\\mathbf 1}$. Observe: \n", "\n", "$$\n", "{\\mathbf 1} {\\mathbf 1}^T {\\mathbf 1} = n {\\mathbf 1}.\n", "$$\n", "\n", "Hence $n$ is an eigenvalue.\n", "\n", "Note that an alternative way to solve this problem is to directly consider $\\det({\\mathbf 1} {\\mathbf 1}^T - \\lambda I)$. Using determinant operations it can be shown to be,\n", "$$\n", "\\lambda^{n-1}(n-\\lambda).\n", "$$\n", "Here is a crude computational check:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.9103830456733704e-11" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "characteristicPolynomial1(λ,n) = det(ones(n,n) - λ*I)\n", "characteristicPolynomial2(λ,n) = λ^(n-1)*(n-λ)\n", "n = 5\n", "lamGrid = -2n:0.1:2n\n", "maximum(abs.(characteristicPolynomial1.(lamGrid,n) .- characteristicPolynomial2.(lamGrid,n)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By trying out several attempts it appears that the mean spectral radius is $n/2$. That is:\n", "\n", "**Conjecture**: Take an $n \\times n$ matrix with entries that are i.i.d. uniform(0,1) values. Denote the eigenvalues $\\lambda_1, \\lambda_2, \\ldots, \\lambda_n$. And denote \n", "$$\n", "\\sigma = \\max_{i=1,\\ldots,n} |\\lambda_i|.\n", "$$\n", "The $E[\\sigma] = n/2$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Random, LinearAlgebra, Plots, Statistics\n", "pyplot()\n", "Random.seed!(0)\n", "\n", "N = 10^4\n", "nRange = 1:20\n", "\n", "eigR(n) = maximum(abs.(eigvals(rand(n,n))))\n", "meanEst(n) = mean([eigR(n) for _ in 1:N])\n", "\n", "ests = [meanEst(n) for n in nRange]\n", "conj(n) = n/2\n", "\n", "scatter(nRange,[ests,conj.(nRange)],legend = false, xlabel = \"n\", ylabel = \"spectral radius\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) To compute the eigenvalues consider the characteristic polynomial and equate to $0$ (this should hold for every $\\theta):\n", "\n", "$$\n", "(\\cos \\theta - \\lambda)^2 + \\sin^ 2 \\theta = 0\n", "$$\n", "\n", "or,\n", "\n", "$$\n", "\\cos^2 \\theta - 2 \\lambda \\cos \\theta + \\lambda^2 + \\sin^ 2 \\theta = 0\n", "$$\n", "\n", "or\n", "\n", "$$\n", "\\lambda^2 - 2 ( \\cos \\theta) \\lambda + 1 = 0\n", "$$\n", "\n", "Hence,\n", "\n", "$$\n", "\\lambda_{1,2} = \\cos \\theta \\pm \\frac{1}{2}\\sqrt{4 \\cos^2 \\theta - 4} = \\cos \\theta \\pm \\sqrt{\\cos^2 \\theta - 1}\n", "= \\cos \\theta \\pm \\sqrt{-\\sin^2 \\theta} = \\cos \\theta \\pm i \\big|\\sin \\theta \\big| = \\cos \\theta \\pm i \\sin \\theta = e^{\\pm i \\theta}.\n", "$$\n", "\n", "Remember $e^{i \\theta} = \\cos \\theta + i \\sin \\theta$.\n", "\n", "Let $A_\\theta$ be the rotation matrix. To find eigenvectors consider:\n", "\n", "$$\n", "A_\\theta x = e^{i \\theta} x.\n", "$$\n", "\n", "Set the second coordinate of $x$ to be $1$ hence the first equation from the above reads:\n", "\n", "$$\n", "(\\cos \\theta) x_1 - \\sin \\theta = (\\cos \\theta) x_1 + i( \\sin \\theta) x_1.\n", "$$\n", "\n", "Hence $x_1 = -1/i = i/(-i i) = i$. Thus an eigenvector corresponding to $e^{i \\theta}$ is $x = [i,1]^T$ and thus a normalized one is $(1/\\sqrt{2}) [i, 1]^T$.\n", "\n", "Similarly, a noramlized eigenvector corresponding to $e^{-i \\theta}$ is $(1/\\sqrt{2}) [1,i]^T$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is a test..." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "ename": "ErrorException", "evalue": "cannot define function A; it already has a value", "output_type": "error", "traceback": [ "cannot define function A; it already has a value", "", "Stacktrace:", " [1] top-level scope at In[10]:1" ] } ], "source": [ "A(θ) = [cos(θ) -sin(θ); sin(θ) cos(θ)]\n", "θ = pi/6\n", "eigvals(A(θ))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "ename": "UndefVarError", "evalue": "UndefVarError: θ not defined", "output_type": "error", "traceback": [ "UndefVarError: θ not defined", "", "Stacktrace:", " [1] top-level scope at In[11]:1" ] } ], "source": [ "exp(im*θ),exp(-im*θ)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "ename": "UndefVarError", "evalue": "UndefVarError: θ not defined", "output_type": "error", "traceback": [ "UndefVarError: θ not defined", "", "Stacktrace:", " [1] top-level scope at In[12]:2" ] } ], "source": [ "x1 = [im,1]/sqrt(2);\n", "A(θ)*x1 - exp(im*θ)*x1" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "ename": "UndefVarError", "evalue": "UndefVarError: θ not defined", "output_type": "error", "traceback": [ "UndefVarError: θ not defined", "", "Stacktrace:", " [1] top-level scope at In[13]:2" ] } ], "source": [ "x2 = [1,im]/sqrt(2);\n", "A(θ)*x2 - exp(-im*θ)*x2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Trace $= 2 \\cos \\theta$. Sum of eigenvalues $ = \\cos \\theta + i \\sin \\theta + \\cos \\theta - i \\sin \\theta = 2 \\cos \\theta$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Det = $\\cos^2 \\theta + \\sin^2 \\theta = 1$. Product of eigenvalues = $e^{i \\theta} e^{-i \\theta} = e^0 = 1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at $AB$ and $BA$ we have,\n", "$$\n", "A B = \\Big(X \\Lambda_1 X^{-1} \\Big) \\Big(X \\Lambda_2 X^{-1} \\Big) = X \\Lambda_1 \\Lambda_2 X^{-1}.\n", "$$\n", "\n", "$$\n", "B A = \\Big(X \\Lambda_2 X^{-1} \\Big) \\Big(X \\Lambda_1 X^{-1} \\Big) = X \\Lambda_2 \\Lambda_1 X^{-1}.\n", "$$\n", "\n", "Hower $\\Lambda_1 \\Lambda_2 = \\Lambda_2 \\Lambda_1$ because these matrices are diagonal. Hence $AB = BA$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 8" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) The rank of $A$ is $1$ with\n", "\n", "$$\n", "A = \n", "\\left[\\begin{matrix}\n", "2 \\\\\n", "1\n", "\\end{matrix}\\right]\n", "\\left[\\begin{matrix}\n", "1 & 2 \\\\\n", "\\end{matrix}\\right].\n", "$$\n", "\n", "Now look at \n", "$$\n", "W = A^T A = \n", "\\left[\\begin{matrix}\n", "5 & 10 \\\\\n", "10 & 20\n", "\\end{matrix}\\right].\n", "$$\n", "The characteristic polynomial of $W$ is $(5-\\lambda)(20-\\lambda)-100 = \\lambda^2 - 25 \\lambda = \\lambda (\\lambda -25)$.\n", "\n", "Hence eigenvalues are $\\lambda = 0 $ and $\\lambda = 25$. Hence the singular value is $\\sigma_1 = \\sqrt{25} = 5$.\n", "\n", "We can now guess that the SVD has to be of the form,\n", "$$\n", "A = U \\times 5 \\times V^T\n", "$$\n", "\n", "and hence given the structure of $A$ we can set $U = [2/\\sqrt{5}~~~ 1/\\sqrt{5}]^T$ and V = $U = [1/\\sqrt{5}~~~ 2/\\sqrt{5}]^T$ which happen to be normed vectors.\n", "\n", "Here is a sanity check with Julia:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Singular value: 5.000000000000001\n", "U:[-0.894427, -0.447214] or [0.894427, 0.447214]\n", "V:[-0.894427, -0.447214] or [0.447214, 0.894427]\n" ] } ], "source": [ "using LinearAlgebra\n", "A = [2 4; 1 2]\n", "F = svd(A)\n", "println(\"Singular value: \", F.S[1])\n", "#it turns out that svd() in Julia chooses the negative of it\n", "println(\"U:\",F.U[:,1],\" or \", [2/sqrt(5),1/sqrt(5)]) \n", "println(\"V:\",F.U[:,1],\" or \", [1/sqrt(5),2/sqrt(5)]) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) To explore, let's take a different approach for the rank 1 matrix $B$. We know the sum of the eigenvalues of $B^T B$ is its trace. The $(1,1)$ element of $B^T B$ is $2\\times 2 + 8\\times8 = 68$. The $(2,2)$ element is $(-1) \\times (-1) + (-4) \\times (-4) = 17$. Hence the trace is $68+17 = 85$. Now since the matrix $B^T B$ is of rank $1$ one of the eigenvalues is $0$ and the other must be $85$. Hence the singular value is $\\sqrt{85} \\approx 9.21954$.\n", "\n", "Here is a sanity check:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-element Array{Float64,1}:\n", " 9.219544457292887 \n", " 7.944109290391273e-16" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = [2 -1; 8 -4];\n", "svdvals(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we compute matching normalized eigenvectors for $B^T B$ to get\n", "$$\n", "V\n", "= \\frac{1}{\\sqrt{5}}\n", "\\left[\\begin{matrix}\n", "-2 & 1 \\\\\n", "1 & 2\n", "\\end{matrix}\\right].\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now look at $BB^T$ and get matching eigenvectors:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\n", "U\n", "= \\frac{1}{\\sqrt{17}}\n", "\\left[\\begin{matrix}\n", "-1 & -4 \\\\\n", "-4 & 1\n", "\\end{matrix}\\right].\n", "$$" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Array{Int64,2}:\n", " 2 -1\n", " 8 -4" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Array{Float64,2}:\n", " 2.0 -1.0\n", " 8.0 -4.0" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "V = [-2 1 ;1 2]/sqrt(5);\n", "U = [-1 -4; -4 1]/sqrt(17);\n", "Σ = [sqrt(85) 0 ; 0 0];\n", "\n", "U*Σ*V'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) The explicit computation of SVD for $A+B$ is messy." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Array{Int64,2}:\n", " 4 3\n", " 9 -2" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A+B" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Array{Float64,2}:\n", " -0.382683 -0.92388 \n", " -0.92388 0.382683" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F = svd(A+B)\n", "F.U" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Diagonal{Float64,Array{Float64,1}}:\n", " 9.87048 ⋅ \n", " ⋅ 3.54593" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Diagonal(F.S)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Adjoint{Float64,Array{Float64,2}}:\n", " -0.997484 -0.070889\n", " 0.070889 -0.997484" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F.V" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2×2 Array{Float64,2}:\n", " 4.0 3.0\n", " 9.0 -2.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "F.U*Diagonal(F.S)*F.V'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 9" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(a) Since $A$ is non-singular we have that $\\Sigma = AA^T$ is non-singular. Hence $\\Sigma^{-1}$ exists and $|\\Sigma| \\neq 0$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) The derivation is based on the explicit inverse of $\\Sigma$ (sometimes called the precision matrix). Note that $|\\Sigma| = \\sigma_1^2\\sigma_2^2(1-\\rho)$ and,\n", "$$\n", "\\Sigma^{-1}\n", "=\n", "\\frac{1}{\\sigma_1^2\\sigma_2^2(1-\\rho)}\n", "\\left[\\begin{matrix}\n", "\\sigma_2^2 & -\\sigma_1 \\sigma_2 \\rho \\\\\n", "-\\sigma_1 \\sigma_2 \\rho & \\sigma_1^2\n", "\\end{matrix}\n", "\\right].\n", "$$\n", "\n", "After some manipulation the standard expression can be obtained:\n", "\n", "\n", "$$\n", "f(x,y) = \\frac{1}{2 \\pi \\sigma_{1} \\sigma_{2} \\sqrt{1-\\rho^{2}}} \\times \\exp \\left\\{\\frac{-1}{2\\left(1-\\rho^{2}\\right)}\\left[\\frac{\\left(x-\\mu_{1}\\right)^{2}}{\\sigma_{1}^{2}}-\\frac{2 \\rho\\left(x-\\mu_{1}\\right)\\left(y-\\mu_{2}\\right)}{\\sigma_{1} \\sigma_{2}}+\\frac{\\left(y-\\mu_{2}\\right)^{2}}{\\sigma_{2}^{2}}\\right]\\right\\} \n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Here are plots:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sanity check that both functions fa() and fb() are the same:\n", "0.09703890701860532\t0.0970389070186053\n", "0.04631505318110716\t0.04631505318110719\n" ] }, { "data": { "image/png": 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" }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Plots, LinearAlgebra\n", "pyplot()\n", "μ1, μ2 = 1, 1\n", "σ1, σ2 = 1.3, 0.8\n", "ρ = 0.7\n", "\n", "\n", "#direct implementation\n", "fa(x) = (2π*σ1*σ2*sqrt(1-ρ^2))^-1 * \n", " exp(-(2*(1-ρ^2))^-1 * ((x[1]-μ1)^2/σ1^2 - 2ρ*(x[1]-μ1)*(x[2]-μ2)/(σ1*σ2) + (x[2]-μ2)^2/σ2^2 ))\n", "\n", "μ = [μ1,μ2]\n", "Σ = [σ1^2 ρ*σ1*σ2;\n", " ρ*σ1*σ2 σ2^2]\n", "\n", "fb(x) = (2π)^-1 * det(Σ)^-0.5 * exp(-0.5*(x-μ)'*inv(Σ)*(x-μ))\n", " \n", "println(\"Sanity check that both functions fa() and fb() are the same:\")\n", "println(fa([0,0]),\"\\t\",fb([0,0]))\n", "println(fa([1,0]),\"\\t\",fb([1,0]))\n", "\n", "\n", "xGrid = -2:0.1:4\n", "yGrid = -1:0.1:3\n", "p1 = surface(xGrid,yGrid,(x1,x2)->fa([x1,x2]),\n", " legend=false,xlabel=\"x\", ylabel=\"y\",camera=(-30,35),size=(500,400))\n", "p2 = contour(xGrid,yGrid,(x1,x2)->fa([x1,x2]),\n", " legend=false,xlabel=\"x\", ylabel=\"y\",size=(500,400))\n", "plot(p1,p2,size=(1200,400))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(d) Calculating/estimating $P(X<0,Y<0)$:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.07555712725292603" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Using a crude Riemann sum:\n", "δ = 0.001\n", "M = 5 #approximates infinity\n", "grid = -M:δ:0\n", "sum([fa([x,y])*δ^2 for x in grid, y in grid ])" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0754657" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#Using Monte-Carlo:\n", "using Distributions\n", "N = 10^7\n", "length(filter((x)->(x[1]<0 && x[2]<0), [rand(MvNormal(μ,Σ)) for _ in 1:N]))/N" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution to Question 10" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code below is a modification of the code in lecture 1 (also appearing in the [SWJ] book). Note the use of the modulo (%) operator for obtaining the parity of an integer (0 for even and 1 for odd)." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy with method I:0.9283\n", "Accuracy with method II:0.894\n" ] } ], "source": [ "using Flux.Data.MNIST, LinearAlgebra\n", "using Flux: onehotbatch\n", "\n", "imgs = MNIST.images()\n", "labels = MNIST.labels()\n", "\n", "nTrain = length(imgs)\n", "trainData = vcat([hcat(float.(imgs[i])...) for i in 1:nTrain]...)\n", "trainLabels = labels[1:nTrain]\n", "\n", "testImgs = MNIST.images(:test)\n", "testLabels = MNIST.labels(:test)\n", "testParity = testLabels .% 2 #has 0 for even and 1 for odd\n", "\n", "nTest = length(testImgs)\n", "testData = vcat([hcat(float.(testImgs[i])...) for i in 1:nTest]...)\n", "\n", "A = [ones(nTrain) trainData]\n", "Adag = pinv(A)\n", "tfPM(x) = x ? +1 : -1\n", "yDatExplicit(k) = tfPM.(onehotbatch(trainLabels,0:9)'[:,k+1])\n", "bets = [Adag*yDatExplicit(k) for k in 0:9]\n", "classifyExplicitDigit(input) = findmax([([1 ; input])'*bets[k] for k in 1:10])[2]-1\n", "\n", "#### This is possibility I\n", "classifyParityI(input) = classifyExplicitDigit(input) % 2\n", "predictions = [classifyParityI(testData[k,:]) for k in 1:nTest]\n", "accuracyI = sum(predictions .== testParity)/nTest\n", "println(\"Accuracy with method I:\", accuracyI)\n", "\n", "#### This is possibility II\n", "yDatParity = tfPM.((trainLabels .% 2) .== 1 )\n", "beta = Adag*yDatParity\n", "classifyParityII(input) = [1 ; input]'*beta > 0 ? 1 : 0\n", "predictions = [classifyParityII(testData[k,:]) for k in 1:nTest]\n", "accuracyII = sum(predictions .== testParity)/nTest\n", "println(\"Accuracy with method II:\", accuracyII)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As can be seen, method I obtains 92.83% accuracy while method II (directly training on images labeled as \"odd\" or \"even\" obtains 89.4% accuracy. Hence it appears that method I is superior. " ] } ], "metadata": { "@webio": { "lastCommId": null, "lastKernelId": null }, "kernelspec": { "display_name": "Julia 1.1.1", "language": "julia", "name": "julia-1.1" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.1.1" } }, "nbformat": 4, "nbformat_minor": 2 }