{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Least Squares for Data Science\n",
    "\n",
    "##### By Yoni Nazarathy.\n",
    "\n",
    "###### Created using Julia 1.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using LinearAlgebra, Statistics, Plots, Random, Distributions\n",
    "pyplot();\n",
    "Random.seed!(0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10×3 Array{Int64,2}:\n",
       " 1  3  4\n",
       " 3  5  1\n",
       " 2  2  1\n",
       " 1  3  3\n",
       " 3  3  5\n",
       " 1  2  5\n",
       " 4  1  3\n",
       " 1  5  4\n",
       " 4  4  4\n",
       " 4  5  3"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = 10;\n",
    "m = 3\n",
    "A = rand(1:5,n,m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Int64,1}:\n",
       " 200\n",
       " 160\n",
       " 140\n",
       " 180\n",
       " 180\n",
       " 120\n",
       " 120\n",
       " 200\n",
       " 120\n",
       " 140"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = rand(100:20:200,n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll need to be very lucky to have an exact solution, $x$, for\n",
    "$$\n",
    "A x = b.\n",
    "$$\n",
    "\n",
    "It would mean that $b$ is in the collumn space (range) of $A$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       "   1.3000000000000007\n",
       " -20.1               \n",
       "  -5.4               \n",
       "  -2.6999999999999993\n",
       "   5.9               \n",
       "  10.3               \n",
       "   8.2               \n",
       "  -8.7               \n",
       "  -2.8000000000000007\n",
       " -11.8               "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bt = 0.3A[:,1] - 5A[:,2] + 4A[:,3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       "  0.3000000000000016\n",
       " -5.000000000000003 \n",
       "  4.000000000000001 "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = inv(A[1:3,:])*bt[1:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       " -3.552713678800501e-15 \n",
       " -7.105427357601002e-15 \n",
       " -8.881784197001252e-16 \n",
       " -3.552713678800501e-15 \n",
       "  1.7763568394002505e-15\n",
       "  0.0                   \n",
       "  7.105427357601002e-15 \n",
       " -1.0658141036401503e-14\n",
       "  0.0                   \n",
       " -3.552713678800501e-15 "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A*x - bt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However in general we are typically not so lucky..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       "  -5.684341886080802e-14 \n",
       "  -1.4210854715202004e-13\n",
       "  -5.684341886080802e-14 \n",
       " -25.000000000000057     \n",
       " 187.49999999999994      \n",
       " 138.75                  \n",
       " 246.25                  \n",
       " -27.500000000000114     \n",
       " 249.9999999999999       \n",
       " 171.2499999999999       "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = inv(A[1:3,:])*b[1:3]\n",
    "A*x - b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So instead we try to minimize $||Ax - b||$ or similarly $||Ax - b||^2$.\n",
    "\n",
    "In one line this is how we get the least squares minimizer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " -0.7213250090294512\n",
       " 25.268046024456932 \n",
       " 20.087714772199572 "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xHat = A\\b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       " -44.56632784686036 \n",
       " -15.736030132604128\n",
       " -70.81884319694547 \n",
       " -44.654042619059965\n",
       "  -5.921263092719698\n",
       "  30.25334090088228 \n",
       " -37.354109695062164\n",
       "   5.969764202053511\n",
       "  58.53774315050822 \n",
       "  43.71807440276558 "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A*xHat - b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "130.23940757974952"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bestLoss = norm(A*xHat - b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try values \"around it\" to get convinced about its optimallity..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum explored loss: 130.23941151184172\tvs. optimum loss: 130.23940757974952\n"
     ]
    }
   ],
   "source": [
    "loss(x) = norm(A*x - b)\n",
    "\n",
    "R1(θ) = [cos(θ) -sin(θ) 0; \n",
    "         sin(θ) cos(θ) 0 ;\n",
    "           0      0    1 ]\n",
    "\n",
    "R2(θ) = [cos(θ)  0 -sin(θ);  \n",
    "           0      0    1 ;\n",
    "        sin(θ)  0 cos(θ) ]\n",
    "\n",
    "\n",
    "pts = []\n",
    "\n",
    "N = 10000\n",
    "\n",
    "for _ in 1:N\n",
    "    θ1,θ2 = rand(Uniform(0,2π),2)\n",
    "    r = 20*randexp()\n",
    "    xt = xHat + R1(θ1)*R2(θ2)*[r,0,0]\n",
    "    push!(pts,[xt ; loss(xt)])\n",
    "    if loss(xt) < loss(xHat)\n",
    "        println(\"Found something better\")\n",
    "    end\n",
    "end\n",
    "losses = last.(pts)\n",
    "println(\"Minimum explored loss: \", minimum(losses) ,\"\\tvs. optimum loss: \", bestLoss )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using StatsPlots\n",
    "density(losses,legend=false)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can even make a little movie to try and visualize such a minimum point..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <Figure size 600x400 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Saved animation to \n",
      "│   fn = /Users/yoninazarathy/Dropbox/MATH7502/LeastSquaresVideo/bestValue.gif\n",
      "└ @ Plots /Users/yoninazarathy/.julia/packages/Plots/Ih71u/src/animation.jl:95\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<img src=\"bestValue.gif\" />"
      ],
      "text/plain": [
       "Plots.AnimatedGif(\"/Users/yoninazarathy/Dropbox/MATH7502/LeastSquaresVideo/bestValue.gif\")"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ani = Animation()\n",
    "for α in 0.01:0.01:1.0\n",
    "    lossQ = quantile(losses,α)\n",
    "    pltPnts = filter(x->x[4] < lossQ,pts)\n",
    "    scatter([xHat[1]],[xHat[2]],[xHat[3]],c=:red,ms=5.0,markerstrokewidth=0)\n",
    "    scatter!(first.(pltPnts),(x->x[2]).(pltPnts),(x->x[3]).(pltPnts),\n",
    "        c=:blue,markeralpha=0.01,markerstrokewidth=0,xlabel=\"x1\",ylabel=\"x2\",zlabel=\"x3\",legend=false,\n",
    "        xlim=(-30,30),ylim=(-10,40),zlim=(-10,40),title=\"Loss = $(round(lossQ,digits=2))\")\n",
    "    frame(ani)\n",
    "end\n",
    "gif(ani,\"bestValue.gif\",fps=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting there via gradient descent\n",
    "\n",
    "$$\n",
    "L(x) =||Ax-b||^2 = (Ax-b)^T(Ax-b)\n",
    "$$\n",
    "\n",
    "$$\n",
    "\\nabla L(x) = 2A^T(Ax-b).\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "traj = []\n",
    "x = ones(3)\n",
    "xprev = -x\n",
    "η = 0.0001\n",
    "while norm(x-xprev) > 10^-3\n",
    "    xprev = x\n",
    "    x = x - η*2A'*(A*x-b)\n",
    "    push!(traj,x)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scatter(first.(traj),(x->x[2]).(traj),(x->x[3]).(traj),\n",
    "        c=:blue,markeralpha=1,markerstrokewidth=0.2,xlabel=\"x1\",ylabel=\"x2\",zlabel=\"x3\",legend=false,\n",
    "        xlim=(-5,10),ylim=(0,40),zlim=(-2,20),title=\"Gradient Descent\")\n",
    "plot!(first.(traj),(x->x[2]).(traj),(x->x[3]).(traj))\n",
    "scatter!([xHat[1]],[xHat[2]],[xHat[3]],c=:red,ms=10.0,markerstrokewidth=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Normal Equations and $A^\\dagger$\n",
    "\n",
    "$$\n",
    "\\nabla L(x) = 2A^T(Ax-b) = 0\n",
    "$$\n",
    "\n",
    "$$\n",
    "2A^TAx = 2A^Tb\n",
    "$$\n",
    "\n",
    "$$\n",
    "x = (A^TA)^{-1}A^T b = A^\\dagger b\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " -0.7213250090294512\n",
       " 25.268046024456932 \n",
       " 20.087714772199572 "
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xHat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       " -0.0590785   0.0235282   0.0419483  …  -0.103555    0.0635674    0.0514937\n",
       "  0.0171611   0.101986    0.0120943      0.0919148  -0.0121769    0.0433827\n",
       "  0.0523915  -0.0921315  -0.0274186      0.016026    0.00371498  -0.0437439"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pinv(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       " -0.0590785   0.0235282   0.0419483  …  -0.103555    0.0635674    0.0514937\n",
       "  0.0171611   0.101986    0.0120943      0.0919148  -0.0121769    0.0433827\n",
       "  0.0523915  -0.0921315  -0.0274186      0.016026    0.00371498  -0.0437439"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inv(A'*A)*A'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " -0.7213250090294663\n",
       " 25.26804602445693  \n",
       " 20.087714772199597 "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pinv(A)*b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " -0.7213250090294668\n",
       " 25.268046024456947 \n",
       " 20.087714772199575 "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A'A \\ A'b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Factorizations for $A^\\dagger$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The QR factorization: $A= QR$\n",
    "\n",
    "$$\n",
    "A^\\dagger = (A^TA)^{-1}A^T = (R^TQ^TQR)^{-1} R^T Q^T = (R^TR)^{-1}R^T Q^T = R^{-1}Q^T\n",
    "$$\n",
    "\n",
    "So a least squares approximate solution can be obtained via $\\hat{x} = R^{-1}Q^T b$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×3 Array{Float64,2}:\n",
       " -8.60233  -9.41606  -8.83482\n",
       "  0.0      -6.19176  -3.84557\n",
       "  0.0       0.0       5.84445"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F = qr(A);\n",
    "Q, R = F.Q, F.R\n",
    "R"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10×10 Array{Float64,2}:\n",
       "  1.0           1.38778e-16  -6.93889e-17  …  1.66533e-16   1.11022e-16\n",
       "  1.38778e-16   1.0          -1.63064e-16     5.89806e-17  -5.55112e-17\n",
       " -6.93889e-17  -1.63064e-16   1.0             2.77556e-17   8.32667e-17\n",
       "  1.12323e-16  -1.95156e-18  -9.84456e-17     3.79471e-17   1.30104e-17\n",
       "  2.63678e-16   7.80626e-17  -1.249e-16       7.28584e-17   1.38778e-17\n",
       "  1.50921e-16   9.45424e-17  -2.48933e-16  …  5.20417e-18  -4.51028e-17\n",
       "  2.35922e-16   2.498e-16     1.11022e-16     2.08167e-17   2.77556e-17\n",
       "  1.52656e-16  -9.1073e-17   -1.79544e-16     5.55112e-17  -2.42861e-17\n",
       "  1.66533e-16   5.89806e-17   2.77556e-17     1.0           2.77556e-17\n",
       "  1.11022e-16  -5.55112e-17   8.32667e-17     2.77556e-17   1.0        "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q'*Q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " -0.7213250090294547\n",
       " 25.268046024456922 \n",
       " 20.087714772199593 "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inv(R)*Q'*b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The SVD factorization: $A= U \\Sigma V^T$\n",
    "\n",
    "$$\n",
    "A^\\dagger = (A^TA)^{-1}A^T = (V \\Sigma U^T U \\Sigma V^T)^{-1} V \\Sigma U^T = (V \\Sigma^2 V^T)^{-1} V \\Sigma U^T\n",
    "=V^{-T} \\Sigma^{-2} V^{-T} V \\Sigma U^T = V \\Sigma^{-1} U^T\n",
    "$$\n",
    "\n",
    "So a least squares approximate solution can be obtained via $\\hat{x} = V \\Sigma^{-1} U^T$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 17.05423938497788 \n",
       "  4.693241515159658\n",
       "  3.889267679171903"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F = svd(A)\n",
    "U, S, V = F.U , F.S, F.V;\n",
    "S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       "  3.8892676791719025\n",
       "  4.6932415151596585\n",
       " 17.05423938497788  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sqrt.(eigvals(A'*A))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       "  -9.30326999185546e-15  \n",
       "  -4.248162038514072e-15 \n",
       "  -1.33054744510433e-15  \n",
       "  -6.937870285002419e-16 \n",
       "   3.6308982445650267e-16\n",
       "   4.900403029047245e-15 \n",
       "   6.366773908623675e-14 \n",
       "  15.126403080251208     \n",
       "  22.02651591961812      \n",
       " 290.84708100013074      "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigvals(A*A')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       "  3.8892676791719025\n",
       "  4.6932415151596585\n",
       " 17.05423938497788  "
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sqrt.(filter(x->x>0,eigvals(A'*A)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Array{Float64,1}:\n",
       " 7.993605777301127e-15 \n",
       " 1.7763568394002505e-15\n",
       " 8.881784197001252e-16 \n",
       " 8.881784197001252e-16 \n",
       " 2.6645352591003757e-15\n",
       " 8.881784197001252e-16 \n",
       " 2.6645352591003757e-15\n",
       " 8.881784197001252e-16 \n",
       " 1.7763568394002505e-15\n",
       " 8.881784197001252e-16 "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A*V[:,1] - S[1]*U[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       " -0.0590785   0.0235282   0.0419483  …  -0.103555    0.0635674    0.0514937\n",
       "  0.0171611   0.101986    0.0120943      0.0919148  -0.0121769    0.0433827\n",
       "  0.0523915  -0.0921315  -0.0274186      0.016026    0.00371498  -0.0437439"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pinv(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       " -0.0590785   0.0235282   0.0419483  …  -0.103555    0.0635674    0.0514937\n",
       "  0.0171611   0.101986    0.0120943      0.0919148  -0.0121769    0.0433827\n",
       "  0.0523915  -0.0921315  -0.0274186      0.016026    0.00371498  -0.0437439"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V*Diagonal(1 ./ S)*U'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What if $(A^T A)$ is singular? SVD to the rescue..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found rank rank 2 matrix with seed s=204\n"
     ]
    }
   ],
   "source": [
    "s = 0\n",
    "while true\n",
    "    Random.seed!(s)\n",
    "    A = rand([1,2],n,m)\n",
    "    r = rank(A)\n",
    "    if rank(A) < 3\n",
    "        println(\"Found rank rank $(r) matrix with seed s=$s\")\n",
    "        break\n",
    "    end\n",
    "    s += 1\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10×3 Array{Float64,2}:\n",
       " 2.0  1.0  2.0\n",
       " 1.0  2.0  1.0\n",
       " 1.0  1.0  1.0\n",
       " 1.0  2.0  1.0\n",
       " 1.0  1.0  1.0\n",
       " 2.0  2.0  2.0\n",
       " 1.0  1.0  1.0\n",
       " 1.0  1.0  1.0\n",
       " 2.0  2.0  2.0\n",
       " 1.0  2.0  1.0"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Random.seed!(204);\n",
    "A = rand([1.0,2.0],n,m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rank(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 0.0)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rank(A'*A),det(A'*A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "ename": "SingularException",
     "evalue": "SingularException(3)",
     "output_type": "error",
     "traceback": [
      "SingularException(3)",
      "",
      "Stacktrace:",
      " [1] checknonsingular at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/factorization.jl:12 [inlined]",
      " [2] #lu!#103(::Bool, ::Function, ::Array{Float64,2}, ::Val{true}) at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/lu.jl:41",
      " [3] #lu! at ./none:0 [inlined]",
      " [4] #lu#107 at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/lu.jl:142 [inlined]",
      " [5] lu at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/lu.jl:142 [inlined] (repeats 2 times)",
      " [6] inv(::Array{Float64,2}) at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.1/LinearAlgebra/src/dense.jl:732",
      " [7] top-level scope at In[35]:1"
     ]
    }
   ],
   "source": [
    "inv(A'*A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So it appears that finding a least squares approximate solution to $Ax = b$ isn't doable...???"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 29.333333333333293\n",
       " 44.266666666666694\n",
       " 29.333333333333307"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A \\ b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       "  0.2   -0.1    0.0333333  -0.1   …   0.0333333   0.0666667  -0.1 \n",
       " -0.28   0.24  -0.0133333   0.24     -0.0133333  -0.0266667   0.24\n",
       "  0.2   -0.1    0.0333333  -0.1       0.0333333   0.0666667  -0.1 "
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aDag = pinv(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 29.333333333333346\n",
       " 44.266666666666644\n",
       " 29.333333333333343"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aDag*b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 7.779559352679487    \n",
       " 1.5743113663240509   \n",
       " 4.741575244451873e-16"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F = svd(A)\n",
    "U, S, V = F.U , F.S, F.V;\n",
    "S"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Array{Float64,1}:\n",
       " 7.779559352679487 \n",
       " 1.5743113663240509"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S = filter(x->x>10^-6,S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r = length(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       "  0.2   -0.1    0.0333333  -0.1   …   0.0333333   0.0666667  -0.1 \n",
       " -0.28   0.24  -0.0133333   0.24     -0.0133333  -0.0266667   0.24\n",
       "  0.2   -0.1    0.0333333  -0.1       0.0333333   0.0666667  -0.1 "
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V[:,1:r]*Diagonal(1 ./ S)*U[:,1:r]'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       "  0.2   -0.1    0.0333333  -0.1   …   0.0333333   0.0666667  -0.1 \n",
       " -0.28   0.24  -0.0133333   0.24     -0.0133333  -0.0266667   0.24\n",
       "  0.2   -0.1    0.0333333  -0.1       0.0333333   0.0666667  -0.1 "
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pinv(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What is going on? Back to the normal equations...\n",
    "\n",
    "$$\n",
    "A^T A x = A^T b\n",
    "$$\n",
    "\n",
    "And using $x = V \\Sigma^{-1} U^T$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 0.0\n",
       " 0.0\n",
       " 0.0"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A'*A*(pinv(A)*b) - A'*b"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "A^T A x = A^T b\n",
    "$$\n",
    "\n",
    "$$\n",
    "(U \\Sigma V^T)^T U \\Sigma V^T x = (U \\Sigma V^T)^T b\n",
    "$$\n",
    "\n",
    "$$\n",
    "V \\Sigma^2 V^T x = V \\Sigma U^T b\n",
    "$$\n",
    "\n",
    "Now notice that $V \\Sigma^{-2} V^T$ is a left inverse of $V \\Sigma^2 V^T$. So left multiply by it:\n",
    "\n",
    "$$\n",
    "x = V \\Sigma^{-2} V^T V \\Sigma U^T b \n",
    "$$\n",
    "\n",
    "Hence,\n",
    "\n",
    "$$\n",
    "x = V \\Sigma^{-1} U^T b\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So in summary, we see that using the SVD for the pseudo-inverse yields a robust solution. Note that when $A$ isn't full rank (and thus $A^T A$ is singular), there are many solutions to the normal equations. It can be shown that the one based on the SVD based left-inverse is the minimal solution..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rank(A'*A)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next topic we explore, Tikhonov regularization (ridge regression) is related... Think that we modify $A^TA$ by adding a term:\n",
    "$$\n",
    "A^TA + \\lambda I\n",
    "$$\n",
    "with $\\lambda > 0 $"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       "  0.199296  -0.0995153   0.0332603  …   0.0332603   0.0665206  -0.0995153\n",
       " -0.278762   0.239129   -0.0132112     -0.0132112  -0.0264223   0.239129 \n",
       "  0.199296  -0.0995153   0.0332603      0.0332603   0.0665206  -0.0995153"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AA(λ) = A'*A + λ*I\n",
    "inv(AA(0.01))*A'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3×10 Array{Float64,2}:\n",
       "  0.2   -0.1    0.0333333  -0.1   …   0.0333333   0.0666667  -0.1 \n",
       " -0.28   0.24  -0.0133333   0.24     -0.0133333  -0.0266667   0.24\n",
       "  0.2   -0.1    0.0333333  -0.1       0.0333333   0.0666667  -0.1 "
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pinv(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "500-element Array{Float64,1}:\n",
       " 0.10663734620705814  \n",
       " 0.1064598114844861   \n",
       " 0.10628215748348022  \n",
       " 0.10610438408377042  \n",
       " 0.10592649116492865  \n",
       " 0.10574847860636352  \n",
       " 0.10557034628731969  \n",
       " 0.10539209408688131  \n",
       " 0.10521372188396942  \n",
       " 0.10503522955734089  \n",
       " 0.10485661698558987  \n",
       " 0.10467788404714788  \n",
       " 0.10449903062028054  \n",
       " ⋮                    \n",
       " 0.0030607421523459345\n",
       " 0.002806807256767531 \n",
       " 0.002552668284534555 \n",
       " 0.0022983249895064286\n",
       " 0.002043777125163965 \n",
       " 0.0017890244445544544\n",
       " 0.001534066700416769 \n",
       " 0.0012789036449568556\n",
       " 0.0010235350300804545\n",
       " 0.0007679606072593527\n",
       " 0.0005121801275852495\n",
       " 0.0002561933417423063"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[norm(pinv(A) - inv(AA(λ))*A') for λ in 0.5:-0.001:0.001]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regularization\n",
    "\n",
    "The idea is to to add a weighted term of $||x||^2$. The objective is then:\n",
    "\n",
    "$$\n",
    "L_\\lambda(x) = ||Ax - b||^2 + \\lambda ||x||^2 = \n",
    "||\n",
    "\\left[\\begin{matrix}\n",
    "A \\\\ \\sqrt{\\lambda} I \\end{matrix}\\right]\n",
    "- \n",
    "\\left[\\begin{matrix}\n",
    "b \\\\ 0\\end{matrix}\\right]\n",
    "||^2\n",
    "$$\n",
    "\n",
    "Here,\n",
    "$$ \n",
    "\\tilde{A}  = \\left[\\begin{matrix}\n",
    "A \\\\ \\sqrt{\\lambda} I \\end{matrix}\\right]\n",
    "\\qquad\n",
    "\\tilde{b} = \\left[\\begin{matrix}\n",
    "b \\\\ 0\\end{matrix}\\right]\n",
    "$$\n",
    "\n",
    "And hence $\\hat{x} = (\\tilde{A}^T\\tilde{A})^{-1} \\tilde{A}^T \\tilde{b} = (A^TA +\\lambda I)^{-1}A^Tb $ \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Data Fitting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Some reality..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Random.seed!(0)\n",
    "reality(x) = 250 + 30x + 0.8x^1.8 + 2000randn()\n",
    "n = 50;\n",
    "xVals = 100 .+ 400rand(n)\n",
    "yVals = reality.(xVals);\n",
    "scatter(xVals,yVals,legend=false,\n",
    "    xlabel=\"Money invested\", ylabel = \"Long term return\",xlim=(0,500),ylim=(0,0.8*10^5))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Say we look at this data and decide to fit a curve of the form\n",
    "$$\n",
    "y = \\beta_0 + \\beta_1 x + \\beta_2 x^2 =\n",
    "\\left[\\begin{matrix}\n",
    "1 & x & x^2 \\end{matrix}\\right]\n",
    "\\left[\\begin{matrix}\n",
    "\\beta_0 \\\\ \\beta_1 \\\\ \\beta_2 \\end{matrix}\\right]\n",
    "$$\n",
    "\n",
    "We can now set the **design matrix**:\n",
    "\n",
    "$$\n",
    "A = \n",
    "\\left[\\begin{matrix}\n",
    "1 & x_1 & x_1^2 \\\\\n",
    "1 & x_2 & x_2^2 \\\\\n",
    "1 & x_3 & x_3^2 \\\\\n",
    "\\vdots & \\vdots & \\vdots \\\\\n",
    "1 & x_n & x_n^2 \\\\\n",
    "\\end{matrix}\\right]\n",
    "$$\n",
    "\n",
    "And seek a $\\beta$ vector that minimizes $||A \\beta - y||$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "50×3 Array{Float64,2}:\n",
       " 1.0  429.459  184435.0      \n",
       " 1.0  464.143       2.15428e5\n",
       " 1.0  165.826   27498.4      \n",
       " 1.0  170.932   29217.6      \n",
       " 1.0  211.552   44754.3      \n",
       " 1.0  181.391   32902.6      \n",
       " 1.0  116.921   13670.4      \n",
       " 1.0  127.308   16207.3      \n",
       " 1.0  244.731   59893.4      \n",
       " 1.0  489.287       2.39401e5\n",
       " 1.0  334.325  111773.0      \n",
       " 1.0  315.716   99676.4      \n",
       " 1.0  204.014   41621.9      \n",
       " ⋮                           \n",
       " 1.0  293.864   86356.2      \n",
       " 1.0  459.68        2.11305e5\n",
       " 1.0  480.676       2.3105e5 \n",
       " 1.0  420.447  176776.0      \n",
       " 1.0  149.729   22418.8      \n",
       " 1.0  145.708   21230.7      \n",
       " 1.0  131.822   17377.0      \n",
       " 1.0  410.67        1.6865e5 \n",
       " 1.0  141.929   20143.9      \n",
       " 1.0  435.23        1.89425e5\n",
       " 1.0  173.646   30152.9      \n",
       " 1.0  224.858   50561.1      "
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A =[xVals[i]^j for i in 1:n, j in 0:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 891.2255677017974   \n",
       "  41.94486462276796  \n",
       "   0.2014071166238851"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "betaHat = pinv(A)*yVals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Array{Float64,1}:\n",
       " 891.2255677022918    \n",
       "  41.94486462276237   \n",
       "   0.20140711662388516"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "betaHat = A \\ yVals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yHat (generic function with 1 method)"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yHat(x) = betaHat'*[1,x,x^2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xGrid = 0:500\n",
    "yEst = yHat.(xGrid);\n",
    "plot!(xGrid,yEst)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What about a different model..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " 569.9674662378493     \n",
       " 107.79862919485993    \n",
       "  -0.5453038951306075  \n",
       "   0.002571194871979982\n",
       "  -2.732196407643429e-6"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A =[xVals[i]^j for i in 1:n, j in 0:4];\n",
    "betaHat = pinv(A)*yVals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yHat (generic function with 1 method)"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yHat(x) = betaHat'*[1,x,x^2,x^3,x^4]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xGrid = 0:500\n",
    "yEst = yHat.(xGrid);\n",
    "scatter(xVals,yVals,legend=false,\n",
    "    xlabel=\"Money invested\", ylabel = \"Long term return\",xlim=(0,500),ylim=(0,0.8*10^5))\n",
    "plot!(xGrid,yEst)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Getting a complex model..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "31-element Array{Float64,1}:\n",
       "       1.4794231724950373e7\n",
       "       1.5035114691341102e7\n",
       "       1.4631077774346262e7\n",
       "       1.3287968815747976e7\n",
       "       1.0960290111683741e7\n",
       "       7.672479822751664e6 \n",
       "       3.610910037060839e6 \n",
       " -841992.2900344953        \n",
       "      -5.106099906086788e6 \n",
       "      -8.455684959282205e6 \n",
       "      -1.014312818228975e7 \n",
       "      -9.597524065667778e6 \n",
       "      -6.672393640597768e6 \n",
       "       ⋮                   \n",
       "      -6.006055603000715e6 \n",
       "      -8.379400639894038e6 \n",
       "      -4.486097589328948e6 \n",
       "       3.4657726184003353e6\n",
       "       8.176590542220831e6 \n",
       "       3.1362095092576863e6\n",
       "      -6.869136597689778e6 \n",
       "      -5.029653917860217e6 \n",
       "       9.071270217161536e6 \n",
       "      -4.440200719956398e6 \n",
       "  943134.7390007526        \n",
       "  -74512.00425352901       "
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "powers = 0:0.1:3\n",
    "A =[xVals[i]^p for i in 1:n, p in powers];\n",
    "betaHat = pinv(A)*yVals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yHat (generic function with 1 method)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yHat(x) = betaHat'*[x^p for p in powers]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xGrid = 0:500\n",
    "yEst = yHat.(xGrid);\n",
    "scatter(xVals,yVals,legend=false,\n",
    "    xlabel=\"Money invested\", ylabel = \"Long term return\",xlim=(0,500),ylim=(0,0.8*10^5))\n",
    "plot!(xGrid,yEst)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Staying with the complex model, but regularizing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "101-element Array{Float64,1}:\n",
       "   1.0694452386288696e10\n",
       " 251.75550435588863     \n",
       " 169.01437722414056     \n",
       " 128.10957721247175     \n",
       " 101.919108748591       \n",
       "  85.79294572570862     \n",
       "  74.11582088144348     \n",
       "  65.33102525454333     \n",
       "  57.72364186699926     \n",
       "  52.26500705424        \n",
       "  47.79823652636996     \n",
       "  44.282063126446175    \n",
       "  40.97020791935847     \n",
       "   ⋮                    \n",
       "  11.403819172830644    \n",
       "  11.36500714008561     \n",
       "  11.326548422847537    \n",
       "  11.286996279038512    \n",
       "  11.249971637359934    \n",
       "  11.216782244412785    \n",
       "  11.18416587755945     \n",
       "  11.154202748377083    \n",
       "  11.11454583424618     \n",
       "  11.08610907348081     \n",
       "  11.052163789391926    \n",
       "  11.022876528797354    "
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ridgeBeta(λ) = inv(A'*A + λ*I)*A'*yVals\n",
    "λGrid = 0:20:2000\n",
    "betaEsts = ridgeBeta.(λGrid);\n",
    "norm.(betaEsts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "31-element Array{Float64,1}:\n",
       " -0.034071245886825065\n",
       " -0.04619585373369618 \n",
       " -0.06178550403882023 \n",
       " -0.08134410109439166 \n",
       " -0.10512031614919937 \n",
       " -0.13284925208204593 \n",
       " -0.1633392271726899  \n",
       " -0.19389104141283137 \n",
       " -0.21953751775545027 \n",
       " -0.23211122582336996 \n",
       " -0.2192658084076018  \n",
       " -0.16367897484238503 \n",
       " -0.0429160080441795  \n",
       "  ⋮                   \n",
       "  3.4816676314254487  \n",
       "  3.5779442997922253  \n",
       "  2.9796468950077397  \n",
       "  1.5119682693645073  \n",
       " -0.6836116196021473  \n",
       " -2.899536366375301   \n",
       " -3.7836988854436138  \n",
       " -1.8763278558142238  \n",
       "  2.5059923033244544  \n",
       "  4.381060890888103   \n",
       " -3.8411568758693004  \n",
       "  0.7799925785459643  "
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "betaHat = ridgeBeta(2000.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "yHat (generic function with 1 method)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yHat(x) = betaHat'*[x^p for p in powers]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xGrid = 0:500\n",
    "yEst = yHat.(xGrid);\n",
    "scatter(xVals,yVals,legend=false,\n",
    "    xlabel=\"Money invested\", ylabel = \"Long term return\",xlim=(0,500),ylim=(0,0.8*10^5))\n",
    "plot!(xGrid,yEst)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### In practice you may choose the \"best\" $\\lambda$ using cross-validation. We omit the details in this presentation.\n",
    "\n",
    "#### A more advanced method is LASSO or Elastic Nets, where some variables are \"knocked off\" fully. We also omit the details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Classification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6131, 5851)"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Flux.Data.MNIST\n",
    "\n",
    "images = MNIST.images(:train)\n",
    "labels = MNIST.labels(:train)\n",
    "\n",
    "train3 = images[labels .== 3]\n",
    "train8 = images[labels .== 8]\n",
    "\n",
    "length(train3),length(train8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
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       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
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       "</svg>"
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      "text/plain": [
       "28×28 Array{Gray{N0f8},2} with eltype Gray{FixedPointNumbers.Normed{UInt8,8}}:\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " ⋮                                 ⋱                                  \n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)  …  Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)\n",
       " Gray{N0f8}(0.0)  Gray{N0f8}(0.0)     Gray{N0f8}(0.0)  Gray{N0f8}(0.0)"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train8[98]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Also keep the test images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1010, 974)"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "images = MNIST.images(:test)\n",
    "labels = MNIST.labels(:test)\n",
    "\n",
    "test3 = images[labels .== 3]\n",
    "test8 = images[labels .== 8]\n",
    "\n",
    "length(test3),length(test8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6131, 5851)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "length(train3),length(train8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11982-element Array{Int64,1}:\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       " -1\n",
       "  ⋮\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1\n",
       "  1"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "yVals = [fill(-1,length(train3)) ; fill(+1,length(train8))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11982"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n = length(train3) + length(train8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11982×785 Array{Float64,2}:\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " ⋮                        ⋮              ⋱            ⋮                      \n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0  …  0.0  0.0  0.0  0.0  0.0  0.0  0.0\n",
       " 1.0  0.0  0.0  0.0  0.0  0.0  0.0  0.0     0.0  0.0  0.0  0.0  0.0  0.0  0.0"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = vcat(\n",
    "    vcat([hcat(float.(t3)...) for t3 in train3]...),\n",
    "    vcat([hcat(float.(t8)...) for t8 in train8]...)  )\n",
    "A = [ones(n) A]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "heatmap(A,yflip = true, legend = false)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  2.780118 seconds (4.97 k allocations: 79.289 MiB, 0.46% gc time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "785-element Array{Float64,1}:\n",
       " -0.29874328285239965\n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  ⋮                  \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                \n",
       "  0.0                "
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@time begin\n",
    "    betaHat = A \\ yVals\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "785-element Array{Float64,1}:\n",
       " -447.77470256684035  \n",
       "  -91.83906252131727  \n",
       "  -20.93420668900583  \n",
       "  -20.12281731295012  \n",
       "  -12.970096219801018 \n",
       "   -8.585745051595348 \n",
       "   -7.5718682955670324\n",
       "   -4.522049842472704 \n",
       "   -3.7097037552105765\n",
       "   -3.182659459842445 \n",
       "   -3.166098424169005 \n",
       "   -1.8570910582374687\n",
       "   -1.8022722589018405\n",
       "    ⋮                 \n",
       "    4.658930086917823 \n",
       "    5.1630948218363635\n",
       "    5.853308051783189 \n",
       "    6.170218028440353 \n",
       "    6.922854776188601 \n",
       "    6.956089738575784 \n",
       "    8.054060105724242 \n",
       "   12.39920003810355  \n",
       "   20.872658410985984 \n",
       "   30.893504367594304 \n",
       "   37.68300377010177  \n",
       "  415.66111581860565  "
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sort(betaHat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "decide (generic function with 1 method)"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decide(img) = betaHat'*[1 ; vcat(float.(img)...)] > 0 ? 8 : 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Let's try it out..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8, 8, 3)"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decide(test8[1]), \n",
    "decide(test3[1]), #makes a mistake...\n",
    "decide(test3[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "truePositive8 = sum(decide.(test8) .== 8)\n",
    "truePositive3 = sum(decide.(test3) .== 3)\n",
    "\n",
    "falsePositive3 = sum(decide.(test8) .== 3)\n",
    "falsePositive8 = sum(decide.(test3) .== 8);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Array{Int64,2}:\n",
       " 968   42\n",
       "  40  934"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decisionMat = [truePositive3  falsePositive8; falsePositive3 truePositive8 ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Array{Int64,1}:\n",
       " 1010\n",
       "  974"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nn = [length(test3),length(test8)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Array{Float64,2}:\n",
       " 0.958416   0.0415842\n",
       " 0.0410678  0.958932 "
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decisionMat ./ nn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that we achive about 95% accuracy! The next step is to consider multi-class classification (deciding between the digits '0'--'9')... see for example the \"Statistics with Julia\" book by Hayden Klok and Yoni Nazarathy.\n",
    "\n",
    "## Thank You"
   ]
  }
 ],
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