{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "# Introductory lecture for [MATH7502](https://courses.smp.uq.edu.au/MATH7502/2019/)\n", "\n", "[**Yoni Nazarathy**](https://people.smp.uq.edu.au/YoniNazarathy/)\n", "\n", "*Semester 2, 2019, The University of Queensland*\n", "\n", "### In this lecture we explore:\n", "\n", "* [Julia, Markdown and LaTex formulas](#top)\n", "* [Covariance and correlation](#cov)\n", "* [Markov modelling](#markov)\n", "* [Clustering (k-means)](#cluster)\n", "* [Finding the best line through a cloud of points](#bestfit)\n", "* [General least squares](#least-squares)\n", "* [PCA and data reduction](#pca)\n", "* [Gradient descent](#gradient-descent)\n", "* [Deep neural networks](#deep-neural-networks)\n", "* [Data compression](#data-compression)\n", "\n", "> Then in the rest of the course we will actually understand how theses things work.\n", "\n", "### Units of the course:\n", "\n", "1. Introduction\n", "1. Vectors (week 2) \n", "1. Using Vectors (week 3) \n", "1. Matrices (weeks 4 and 5) \n", "1. Matrices and Vector Spaces (week 6) \n", "1. Spectral Analysis (weeks 7 and 8) \n", "1. Least Squares \\#1 (weeks 9 and 10) \n", "1. Least Squares \\#2 (weeks 11 and 12) \n", "\n", "> There is also a [course project](https://courses.smp.uq.edu.au/MATH7502/2019/#project-report) where you explore another topic of your choice (from 6 possible options)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some resources\n", "\n", "* [Markdown-Cheatsheet](https://github.com/adam-p/markdown-here/wiki/Markdown-Cheatsheet)\n", "* [Latex Formulas](http://tug.ctan.org/info/undergradmath/undergradmath.pdf)\n", "* [Julia Linear Algebra](https://docs.julialang.org/en/latest/stdlib/LinearAlgebra/)\n", "* [Statistics with Julia book \\[SWJ\\]](https://people.smp.uq.edu.au/YoniNazarathy/julia-stats/StatisticsWithJulia.pdf)\n", "* [Plots.jl](http://docs.juliaplots.org/latest/)\n", "* [StatsPlots.jl](https://github.com/JuliaPlots/StatsPlots.jl)\n", "* [Flux.jl](https://fluxml.ai/Flux.jl/stable/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "## Basic Playground\n", "![Julia logo](https://i0.wp.com/numfocus.org/wp-content/uploads/2016/07/julia-logo-300.png?fit=100%2C300&ssl=1)\n", "\n", "This is the density of a normal random variable with mean $\\mu$ and variance $\\sigma^2$:\n", "\n", "$$\n", "\\int_{-\\infty}^\\infty \\frac{1}{\\sqrt{2 \\pi} \\sigma} e^{-\\frac{(x-\\mu)^2}{2}} \\, dx = 1\n", "$$\n", "\n", "If $ad-bc \\neq 0$:\n", "\n", "$$\n", "\\begin{bmatrix}\n", "a &b \\\\ \n", "c &d\n", "\\end{bmatrix}^{-1}\n", "= \\frac{1}{ad - bc} \n", "\\begin{bmatrix}\n", "d &-b \\\\ \n", "-c &a\n", "\\end{bmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1+1" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[32m\u001b[1m Status\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Project.toml`\n", " \u001b[90m [c52e3926]\u001b[39m\u001b[37m Atom v0.8.7\u001b[39m\n", " \u001b[90m [336ed68f]\u001b[39m\u001b[37m CSV v0.5.9\u001b[39m\n", " \u001b[90m [aaaa29a8]\u001b[39m\u001b[37m Clustering v0.13.2\u001b[39m\n", " \u001b[90m [717857b8]\u001b[39m\u001b[37m DSP v0.5.2\u001b[39m\n", " \u001b[90m [a93c6f00]\u001b[39m\u001b[37m DataFrames v0.18.4\u001b[39m\n", " \u001b[90m [864edb3b]\u001b[39m\u001b[37m DataStructures v0.15.0\u001b[39m\n", " \u001b[90m [6d1b261a]\u001b[39m\u001b[37m DiffEqTutorials v0.1.0 #master (https://github.com/JuliaDiffEq/DiffEqTutorials.jl)\u001b[39m\n", " \u001b[90m [0c46a032]\u001b[39m\u001b[37m DifferentialEquations v6.4.0\u001b[39m\n", " \u001b[90m [31c24e10]\u001b[39m\u001b[37m Distributions v0.20.0\u001b[39m\n", " \u001b[90m [587475ba]\u001b[39m\u001b[37m Flux v0.8.3\u001b[39m\n", " \u001b[90m [38e38edf]\u001b[39m\u001b[37m GLM v1.1.1\u001b[39m\n", " \u001b[90m [cd3eb016]\u001b[39m\u001b[37m HTTP v0.8.4\u001b[39m\n", " \u001b[90m [09f84164]\u001b[39m\u001b[37m HypothesisTests v0.8.0\u001b[39m\n", " \u001b[90m [7073ff75]\u001b[39m\u001b[37m IJulia v1.18.1\u001b[39m\n", " \u001b[90m [c601a237]\u001b[39m\u001b[37m Interact v0.10.2\u001b[39m\n", " \u001b[90m [a93385a2]\u001b[39m\u001b[37m JuliaDB v0.12.0\u001b[39m\n", " \u001b[90m [e5e0dc1b]\u001b[39m\u001b[37m Juno v0.7.0\u001b[39m\n", " \u001b[90m [6f286f6a]\u001b[39m\u001b[37m MultivariateStats v0.6.0\u001b[39m\n", " \u001b[90m [91a5bcdd]\u001b[39m\u001b[37m Plots v0.25.1\u001b[39m\n", " \u001b[90m [438e738f]\u001b[39m\u001b[37m PyCall v1.91.2\u001b[39m\n", " \u001b[90m [d330b81b]\u001b[39m\u001b[37m PyPlot v2.8.1\u001b[39m\n", " \u001b[90m [ce6b1742]\u001b[39m\u001b[37m RDatasets v0.6.2\u001b[39m\n", " \u001b[90m [2913bbd2]\u001b[39m\u001b[37m StatsBase v0.30.0\u001b[39m\n", " \u001b[90m [f3b207a7]\u001b[39m\u001b[37m StatsPlots v0.11.0\u001b[39m\n", " \u001b[90m [44d3d7a6]\u001b[39m\u001b[37m Weave v0.9.0\u001b[39m\n" ] } ], "source": [ "using Pkg\n", "Pkg.status()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n", "\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Project.toml`\n", " \u001b[90m [cd3eb016]\u001b[39m\u001b[92m + HTTP v0.8.4\u001b[39m\n", "\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/environments/v1.1/Manifest.toml`\n", "\u001b[90m [no changes]\u001b[39m\n" ] } ], "source": [ "using Pkg\n", "Pkg.add(\"HTTP\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "\n", "## Analysis of covariance and correlation\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.119524 -0.087381 0.44; -0.087381 0.121429 -0.715; 0.44 -0.715 8.03333]\n", "[0.119524 -0.087381 0.44; -0.087381 0.121429 -0.715; 0.44 -0.715 8.03333]\n" ] } ], "source": [ "using Statistics\n", "\n", "X = [0.9 2.1 1.2;\n", " 1.1 1.9 2.5;\n", " 1.7 1.9 3.4;\n", " 0.8 2.3 2.3;\n", " 1.3 1.6 9.4;\n", " 0.7 2.7 1.3;\n", " 0.9 2.1 4.4]\n", "\n", "n,p = size(X)\n", "\n", "xbar = [mean(X[:,i]) for i in 1:p]'\n", "ourCov = (X .- xbar)'*(X .- xbar)/(n-1)\n", "\n", "println(ourCov)\n", "println(cov(X))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean1\tMean2\tVar1\tVar2\tCov\n" ] }, { "data": { "image/png": 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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "15.0\t20.01\t6.0\t9.0\t3.99\n", "15.01\t20.01\t6.01\t9.04\t4.01\n", "15.0\t19.99\t6.01\t8.97\t3.98\n" ] } ], "source": [ "using Distributions, LinearAlgebra, PyPlot\n", "\n", "SigY = [ 6 4 ; 4 9]\n", "muY = [15 ; 20]\n", "A = cholesky(SigY).L\n", "\n", "N = 10^5\n", "\n", "dist_a = Normal()\n", "rvX_a() = [rand(dist_a) ; rand(dist_a)]\n", "rvY_a() = A*rvX_a() + muY\n", "data_a = [rvY_a() for _ in 1:N]\n", "data_a1 = first.(data_a)\n", "data_a2 = last.(data_a)\n", "\n", "dist_b = Uniform(-sqrt(3),sqrt(3))\n", "rvX_b() = [rand(dist_b) ; rand(dist_b)]\n", "rvY_b() = A*rvX_b() + muY\n", "data_b = [rvY_b() for _ in 1:N]\n", "data_b1 = first.(data_b)\n", "data_b2 = last.(data_b)\n", "\n", "dist_c = Exponential()\n", "rvX_c() = [rand(dist_c) - 1; rand(dist_c) - 1]\n", "rvY_c() = A*rvX_c() + muY\n", "data_c = [rvY_c() for _ in 1:N]\n", "data_c1 = first.(data_c)\n", "data_c2 = last.(data_c)\n", "\n", "plot(data_a1,data_a2,\".\",color=\"blue\",ms=0.2)\n", "plot(data_b1,data_b2,\".\",color=\"red\",ms=0.2)\n", "plot(data_c1,data_c2,\".\",color=\"green\",ms=0.2)\n", "\n", "stats(data1,data2) = println(\n", " round(mean(data1),digits=2), \"\\t\", round(mean(data2),digits=2), \"\\t\",\n", " round(var(data1),digits=2), \"\\t\", round(var(data2),digits=2), \"\\t\",\n", " round(cov(data1,data2),digits=2))\n", "\n", "println(\"Mean1\\tMean2\\tVar1\\tVar2\\tCov\")\n", "stats(data_a1,data_a2)\n", "stats(data_b1,data_b2)\n", "stats(data_c1,data_c2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "## Markov Modeling\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3×4 Array{Float64,2}:\n", " 0.4375 0.4375 0.4375 0.438221\n", " 0.3125 0.3125 0.3125 0.31252 \n", " 0.25 0.25 0.25 0.249259" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra, StatsBase\n", "\n", "# Transition probability matrix\n", "P = [0.5 0.4 0.1;\n", " 0.3 0.2 0.5;\n", " 0.5 0.3 0.2]\n", "\n", "# First way\n", "piProb1 = (P^100)[1,:]\n", "\n", "# Second way\n", "A = vcat((P' - I)[1:2,:],ones(3)')\n", "b = [0 0 1]'\n", "piProb2 = A\\b\n", "\n", "# Third way\n", "eigVecs = eigvecs(copy(P'))\n", "highestVec = eigVecs[:,findmax(abs.(eigvals(P)))[2]]\n", "piProb3 = Array{Float64}(highestVec)/norm(highestVec,1)\n", "\n", "# Fourth way\n", "numInState = zeros(3)\n", "state = 1\n", "N = 10^6\n", "for t in 1:N\n", " numInState[state] += 1\n", " global state = sample(1:3,weights(P[state,:]))\n", "end\n", "piProb4 = numInState/N\n", "\n", "[piProb1 piProb2 piProb3 piProb4]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "## Clustering (k-means)\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Number of clusters: 3\n", "Counts of clusters: [899, 1149, 952]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "┌ Warning: `convert(::Type{Array{T}}, df::AbstractDataFrame) where T` is deprecated, use `convert(Matrix{T}, df)` instead.\n", "│ caller = top-level scope at In[12]:4\n", "└ @ Core In[12]:4\n" ] } ], "source": [ "using Clustering, RDatasets, PyPlot\n", "\n", "df = dataset(\"cluster\", \"xclara\")\n", "data = copy(convert(Array{Float64}, df)')\n", "\n", "seeds = initseeds(:rand, data, 3)\n", "xclara_kmeans = kmeans(data, 3)\n", "\n", "println(\"Number of clusters: \", nclusters(xclara_kmeans))\n", "println(\"Counts of clusters: \", counts(xclara_kmeans))\n", "\n", "df.Group = assignments(xclara_kmeans)\n", "\n", "fig = figure(figsize=(10, 5))\n", "subplot(121)\n", "plot(df[:, :V1], df[:, :V2],\"b.\")\n", "plot(df[seeds, :V1], df[seeds, :V2], markersize=12,\"r.\",)\n", "\n", "subplot(122)\n", "plot( df[df.Group .== 1, :V1], df[df.Group .== 1, :V2], \"b.\")\n", "plot( df[df.Group .== 2, :V1], df[df.Group .== 2, :V2], \"r.\")\n", "plot( df[df.Group .== 3, :V1], df[df.Group .== 3, :V2], \"g.\");" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Counts of clusters (manual implementation): [899, 952, 1149]\n" ] } ], "source": [ "using RDatasets, PyPlot, Distributions, Random\n", "Random.seed!(1)\n", "\n", "k = 3\n", "\n", "xclara = dataset(\"cluster\", \"xclara\")\n", "n,_ = size(xclara)\n", "dataPoints = [convert(Array{Float64,1},xclara[i,:]) for i in 1:n]\n", "shuffle!(dataPoints)\n", "\n", "xMin,xMax = minimum(first.(dataPoints)),maximum(first.(dataPoints))\n", "yMin,yMax = minimum(last.(dataPoints)),maximum(last.(dataPoints))\n", "\n", "means = [[rand(Uniform(xMin,xMax)),rand(Uniform(yMin,yMax))] for _ in 1:k]\n", "labels = rand([1,k],n)\n", "prevMeans = -means\n", "\n", "while norm(prevMeans - means) > 0.001\n", " prevMeans = means\n", " labels = [findmin([norm(means[i]-x) for i in 1:k])[2] for x in dataPoints]\n", " means = [sum(dataPoints[labels .== i])/sum(labels .==i) for i in 1:k]\n", "end\n", "\n", "cnts = [sum(labels .== i) for i in 1:k]\n", "\n", "println(\"Counts of clusters (manual implementation): \", cnts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "## Finding the best line through a cloud of points\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using PyPlot\n", "\n", "xVals = [-2,3,5,6,12,14]\n", "yVals = [7,2,9,3,12,3]\n", "n = length(xVals)\n", "\n", "V = [xVals[i+1]^(j) for i in 0:n-1, j in 0:n-1]\n", "c = V\\yVals\n", "xGrid = -5:0.01:20\n", "f1(x) = c'*[x^i for i in 0:n-1]\n", "\n", "beta0, beta1 = 4.58, 0.17\n", "f2(x) = beta0 + beta1*x\n", "\n", "plot(xGrid,f1.(xGrid),\"b\",label=\"Polynomial 5th order\")\n", "plot(xGrid,f2.(xGrid),\"r\",label=\"Linear model\")\n", "plot(xVals,yVals,\"kx\",ms=\"10\",label=\"Data points\")\n", "xlim(-5,20)\n", "ylim(-50,50)\n", "legend(loc=\"upper right\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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74ziYH/k7TsXD3x3HoXZ+tPl9tImIiIiIiIisCQttIiIiIiIiIhWx0CYiIiIiIiJSEQttIiIiIiIiIhXZZKFtZf3byAbwd4YcCX/fqbj4O0NERKQumyq0XVxcAABGo1HjSMjWZGVlAYDd7blL9Hd5v995v+9ERZX372rev7NERET0aGxqH21nZ2d4eXkhOTkZAKDX66HT6TSOiqydyWRCSkoK9Ho9SpWyqV95omIpVaoU9Ho9UlJS4OLiAicnm3qWShpQFAVGoxHJycnw8vLiw0giIiKV2FzV4efnBwD5xTZRUTg5OSEoKIgPZsiu6XQ6+Pv7IzExEefOndM6HLIhXl5e+f++EhER0aOzuUI770ayYsWKyM7O1jocshGlS5fm6B45hNKlSyM0NJTTx6nIXFxcOJJNRESkMpsrtPM4OzvzxoCIqBBOTk4oW7as1mEQEZGdiI+PR1RUFG7dulXk97Rq1Qp169bFwoULLXrd4goPD8etW7ewZcsWs12DHBOH+IiIiIiIrFB4eDi6dOlS6Pdu3LiBiIgI1KhRA3q9HkFBQRg6dCgMBoPqcXTv3h0nT54s1ns2bdqEqVOnWvy6RNbCZke0iYiIiIgc1eXLl3H58mXMnTsXTz75JM6dO4dBgwbh8uXL+OKLL1S9lqurK1xdXYv1Hm9vb02uS2QtOKJNRERERI5FUYA7d7T5Umnf+lq1amHjxo3o2LEjqlevjueeew7Tp0/Htm3bkJOTc9/3BQcHY9q0aejduzfc3NxQpUoVfPnll0hJSUHnzp3h5uaG2rVr4/Dhw/nviY+Ph5eXV/7xpEmTULduXXz88ccIDg6Gp6cnevTogbS0tPzXtGrVClFRUapeNzg4GDqd7p6vPJcuXUL37t1Rvnx5+Pj4oHPnzjh79mz+93NzczF8+HB4eXnBx8cHI0eOhKLS/w+if2KhTURERESOxWgE3Ny0+frfvvXmYDAY4OHh8dDtTBcsWIDmzZvj6NGjaN++PcLCwtC7d2/06tULR44cQUhICHr37v3AIvTMmTPYsmULvvrqK3z11VfYvXs3Zs2aZdbrHjp0CElJSUhKSsLFixfRpEkTtGzZEgBgNBrRunVruLm5Yc+ePdi7dy/c3NzQrl27/Aah8+bNQ1xcHGJjY7F3717cuHEDmzdvfmDMRCXFQpuIiIiIyMZdv34dU6dOxcCBAx/62pdffhkDBw5EaGgoJkyYgLS0NDRq1AivvfYaHn/8cURHR+OPP/7A1atX7/sZJpMJ8fHxqFWrFlq2bImwsDB8//33Zr2ur68v/Pz84Ofnh9mzZyMpKQkbN24EAHz66adwcnLCqlWrULt2bdSsWROrV6/G+fPnsWvXLgDAwoULMXr0aHTr1g01a9bEsmXL4Onp+dC/L6KS4BptIiIiInIsej1w+7Z211ZZamoq2rdvjyeffBITJ0586Ouffvrp/D9XqlQJAFC7du17ziUnJ8PPz6/QzwgODoa7u3v+sb+/P5KTk81+XQBYsWIFYmNjsW/fPvj6+gIAEhIScPr06QIxAUBGRgbOnDkDg8GApKQkNG3aNP97pUqVQsOGDTl9nMyChTYRERERORadDihXTusoVJGWloZ27drBzc0NmzdvhouLy0Pf8/fX5K1xLuycyWQq0mfkvedBr1frurt27UJERATWr1+POnXq5J83mUxo0KAB1q1bd8978opxIkvi1HEiIiIiIhuUmpqKtm3bonTp0ti6dSvKli2rdUhmdfr0aXTr1g1jxoxB165dC3yvfv36OHXqFCpWrIiQkJACX56envD09IS/vz8OHjyY/56cnBwkJCRY+scgB8ERbSIiIiIiK2UwGHDs2LEC57y9vVG+fHm0bdsWRqMRa9euRWpqKlJTUwHICK6zs7MW4ZpNeno6OnbsiLp16+Ktt97ClStX8r/n5+eHnj17Ys6cOejcuTOmTJmCypUr4/z589i0aRNGjBiBypUrIzIyErNmzUJoaChq1qyJ+fPn49atWxr+VGTPWGgTEREREVmpXbt2oV69egXO9enTB+Hh4fj5558BACEhIQW+n5iYiODgYEuFaBFXr17FiRMncOLECQQEBBT4nqIo0Ov12LNnD6Kjo9G1a1ekpaXhscceQ5s2beDh4QEAePfdd5GUlITw8HA4OTmhX79+eOWVV2AwGLT4kcjO6RQrW/2fmpoKT0/P/O0JiIiKy57ziD3/bERkfvacQx70s2VkZCAxMRFVq1a1++nVpC7+7jgOtfMj12gTERERERERqYiFNhEREREREZGKWGgTERERERERqYiFNhEREREREZGKWGgTEREROQJFAT7+WOsoNGVlPYDJBvB3xoH8bY91NaheaOfk5GDcuHGoWrUqXF1dUa1aNUyZMgUmk0ntSxER2RTmRyLSzI0bwGuvAUOGaB1JocydH11cXAAARqNRlc8jx5H3O5P3O0R2KCcHmDQJaNdO1Y9VfR/tmJgYLFu2DGvWrMFTTz2Fw4cPo2/fvvD09ERkZKTalyMishnMj0SkiV27gLAw4OJFwNkZyM3VOqJ7mDs/Ojs7w8vLC8nJyQAAvV4PnU73yJ9L9ktRFBiNRiQnJ8PLywvOzs5ah0TmkJgI9OoF7N+v+kerXmgfOHAAnTt3Rvv27QEAwcHBWL9+PQ4fPlzo6zMzM5GZmZl/nJqaqnZIRERWobj5EWCOJKJHkJ0NTJwIzJol08ZDQ4Hly4HnntM6sntYIj/6+fkBQH6xTVQUXl5e+b87ZGfWrQMGDwZSUwEPD2D+fGDAANU+XvVCu0WLFli2bBlOnjyJxx9/HMePH8fevXuxcOHCQl8/c+ZMTJ48We0wiIisTnHzI8AcSUQldPo08OabwKFDctyvH/D++4CVLlWxRH7U6XTw9/dHxYoVkZ2drUbYZOdcXFw4km2PDAbgnXek0AaA5s2BtWsBb29VC22dovIKf0VRMGbMGMTExMDZ2Rm5ubmYPn06Ro8eXejrC3saGRgYCIPBAA8PDzVDIyIHkZqaCk9PT6vLI8XNjwBzJBEVk6IA8fFARARw5w7g5QWsXAm8+ioA5kcicnD79wM9ewJnzwJOTsCECcDYsUCpUqrnR9VHtDds2IC1a9fik08+wVNPPYVjx44hKioKAQEB6NOnzz2vL1OmDMqUKaN2GEQ24dSpU4iLi8PZs2cRHByMfv36ITQ0VOuwyEyKmx8B5khyXMyPJXDzJjBwIPD553L87LPSZTwwUNu4ioD5kah4mCOLKScHmD4dmDpV+lQEB8uIdrNm5rumorLKlSsrixcvLnBu6tSpSo0aNYr0foPBoABQDAaD2qERWZW4uDjFyclJcXZ2LvDf1atXax2azbPWPPKo+VFRrPdnI1IT82MJ7N6tKIGBigIoSqlSijJjhqLk5NzzMmvNIcyPREXHHFlMiYmK0ry55EdAUXr2VJRbt+55mdo5RPXtvYxGI5ycCn6ss7Mzt68h+ptTp05hwIABMJlMyM3NLfDf/v374/Tp01qHSGbA/Ej0cMyPxZSdDYwbB7RuDVy4AISEyNTI0aOlw7iNYH4kKhrmyGJavx6oUwfYtw9wd5dZPmvXAp6eZr+06lPHO3bsiOnTpyMoKAhPPfUUjh49ivnz56Nfv35qX4rIZsXFxd13WxGdTofY2FjMnDnTwlGRuTE/kiUYDAab3it40aJFzI9FdeaMrDX8+Wc5Dg8HFi2Sm0kbw/xIVDS8hyyi1FRgyBAprAGgaVMpsKtVs1gIqhfaH3zwAcaPH4/BgwcjOTkZAQEBGDhwICZMmKD2pYhs1tmzZ6Hcpw+hoig4e/asZQMii2B+JHMzGAyYOnUqrl27pnUoJbZ79+77jmIyP/6PogAffSQ3kbdvy8jMihXA669rHVmJMT8SFQ3vIYvg4EF5CPnXX9LwbNw4YPx4oJTqpe8DqX41d3d3LFy48IHbMRA5uuDg4Ac+jQwODrZsQGQRzI9kbkajEdeuXYOrqyv0er3W4ZSIr68vzp07V+j3mB8B3LoFDBoEbNggxy1byihNUJC2cT0i5keiouE95APk5gIzZgCTJ8ufq1SR/NiihSbhWLasJyIAQL9+/TB79uxCv6coCvr372/hiIjInuj1erjb4PRhAGjcuDEOHz5c6PccPj/+9BPQqxdw/rysv548GRg1yqbWYhPRo+E95H2cPy/58aef5PiNN4APP5QtDjWiejM0Inq40NBQxMbGwsnJKb/5S96fY2NjERISonGERETa8PHxQadOnaDT6fK/nJ2dHTs/5uTIXq+tWsnNZLVq0thn7FgW2UQO5u/3kHm50eFz5IYNwNNPS5Ht5iZLa9at07TIBjiiTaSZ8PBwtGjRAtOnT0d8fDx69+6NsWPHOmaCJCL6m7p16yIoKAgHDx5ESkoKOnTogMjISMfMj3/9JWsNDx6U4969gQ8+ADw8tI2LiDSTdw8ZGxubv492//79HS9HpqUBERHAmjVy3LixFNjVq2sb1/+w0CbSUEhICCIiIhAfH4+IiAjHS5BERPfh7e2Nli1b4vr16xgzZgz8/f21Dsny1q4FBg+Wm0lPT2DZMqBHD62jIiIrEBIS4tjdxX/5BXjzTdl9wckJGDNGZv64uGgdWT4W2kRERETWxGCQAvuTT+S4RQspuqtU0TYuIiKt5eYCs2YBEyfKn4OCJD+2bKl1ZPdgoU1ERERkLfbtk4Y+Z8/K+uuJE4HRoy2+LQ0RkdW5cEHy4549cty9u8z00Xgt9v0waxMRERFpLScHmDYNmDoVMJmAqlVlrWHTplpHRkSkvc8/B956S7Y4dHMDFi+WnhX32erMGrDQJiIiItJSYqKM0uzfL8dhYXITyYZnROTobt8Ghg4FVq+W40aNZFmNDfQ14vZeRERERFr55BOgbl0psj08ZBT7o49YZBMRHToE1KsnRbZOJw3P9u2ziSIb4Ig2ERERkeWlpgLvvCNNfACgWTP5c9Wq2sZFRKS13Fxgzhxg/HhZVlO5suTHZ5/VOrJiYaFNREREZEkHDsje2ImJsi3NhAnA2LFseEZEdPGiLJ/ZtUuOX3sNWL4cKF9e07BKglPHiYiIiCwhJweYMkW2oUlMBIKDgZ9+ks7iLLKJyNFt3Ag8/bQU2eXKAXFxwIYNNllkAxzRJiIiIjK/s2el4dm+fXLcsyewZAng6alpWEREmrtzB4iMBGJj5bhhQ+lfERqqbVyPiCPaREREROb06adAnTpSZLu7Ax9/LOsNWWQTkaNLSADq15ciW6cDRo2SXGnjRTbAEW0iIiIi80hLA4YMkS7iANCkiXQVr1ZN27iIiLRmMgFz5wLjxgHZ2cBjj8lDyNattY5MNSy0iYiIiNT288/Am28Cf/0lDc/GjZMOulyLTUSO7tIloHdv4Icf5LhbN2DFCsDbW9u4VMap40RERERqyc0Fpk0DmjeXIjsoCNi9G5g8mUU2EdHmzdLw7IcfAL0eWLUK+PxzuyuyAY5oExEREanj/HlpePbTT3LcowewdCng5aVtXEREWrtzBxg2DFi5Uo4bNJCGZ48/rm1cZsQRbSIiIqJH9dlnMkrz00+AmxuwZo3cRLLIJiJHd+SIFNYrV0rDs5Ejgf377brIBjiiTURERFRyaWnA0KFAfLwcN24sDc+qV9c0LCIizZlMwPz5wJgx0vAsIEAanj33nNaRWQQLbSIiIqKS+OUXaXh25oyM0owZA0ycCLi4aB0ZEZG2Ll8G+vQBvvtOjl95RUa0fXy0jcuCOHWciIiIqDhyc4EZM6Th2ZkzQGAgsGuXNEFjkU1Eju7LL2UpzXffAa6uwPLlwMaNDlVkAxzRJiIiIiq6CxeAsDDpJA4gvWNHGGJioHh5AUlJGgcn9Ho9PD09tQ6DiByN0QgMHy6FNQDUqye9Kp54Qtu4NMJCm4iIiKgoPv8ceOst4NYtKOXKYUOLFvimfHkgJkbryAqoUKECxo8fz2KbiCzn6FFZSnPihBy/957M8ilTRtu4NMRCm4iIiOhBbt8GIiOBuDg5btQIKQsX4psVK+Dq6gq9Xq9tfH9jNBpx7do1GI1GFtpEZH4mE7BwITBqlDQ88/cHPvoIeP55rSPTHAttIiIiovs5fFhGaU6dkoZno0cDkyYh99o1ADJN22kc6ucAACAASURBVN3dXeMgC0pPT9c6BCJyBElJQHg4sHOnHHfqBMTGAhUqaBqWtWAzNCIiIqJ/ys0FZs0CmjaVIrtyZeCHH4Dp09nwjIho2zZpeLZzpzQ8W7oU2LKFRfbfcESbiIiI6O8uXpSGZ7t2yfGrr0pzH29vTcMiItKc0Sjrr5culeM6dYD164GaNbWNywpxRJuIiIgoz8aNMkqzaxdQrpxMg/zsMxbZRETHjwMNG94tsocPB37+mUX2fXBEm4iIiOjOHSAqCli1So4bNpRtaUJDtY2LiEhrJhOwaBEQHQ1kZQF+fsCaNUDbtlpHZtVYaBMREZFjS0iQhmcnT0rDs+hoYPJkoHRprSMjItLWlSvS8GzHDjnu2FFm+vj6ahqWLeDUcSIiInJMJhMwe7Y0PDt5EnjsMeD774GZM1lkExH93//JUpodO4CyZYElS4Avv2SRXUQc0SYiIiLHc+kS0KePFNYA0LUrsGIF4OOjbVxERFpLTwdGjJDCGpBi+5NPgKee0jYuG8MRbSIiInIsW7bIjeP33wN6PbByJfDFFyyyiYh+/RVo1OhukR0VJQ3PWGQXG0e0iYiIyDHcuSNdcleskOP69WWUpkYNbeMiItKaogAffACMHAlkZgKVKgHx8UC7dlpHZrNYaBMREZH9O3oUeOMN4M8/peHZiBHA1Klci01EdPUq0LcvsH27HLdvD8TFARUrahuXjePUcSIiIrJfJhMwbx7QuLEU2QEBwLffAjExLLKJiL7+WpbSbN8OlCkjo9rbtrHIVgFHtInIriiK3EMTEeHyZdmWJi8pdOki+2RzLTYRObqMDNnKcNEiOa5VC1i/Xv7roK5eVffzOKJNRHYhJ0eWWtarB7z6qtbREJHmtm6VUZpvvwVcXYHly4FNm1hkExH997/Av/51t8geOhQ4dMhhi+xTp4CBA9X/8TmiTUQ2zWiUZUTz5gFnz8o5vV7OE5EDMhqBd98Fli2T43r15CncE09oGxcRkdYURbqJv/eeNDyrWFEanr30ktaRaeLwYVlFtHGj/NWojSPaRGSTbtyQPkZVqgAREVJkV6gATJkC/Pab1tERkSaOHQMaNrxbZL/3HnDgAItsIqLkZKBjR7lpysyU4vo//3G4IjtvieHzz8suZl98IedeflmWq6uJI9pEZFMuXAAWLJDdee7ckXPBwXI/3bevjGanpmoaIhFZmskEvP8+MGoUkJUF+PsDa9YAL7ygdWRERNr75hvpV3H1qjQ8mzMHGDJEdmBwELm5UlTPng0cOSLnnJ1lM4qRI4HatdW/f2ShTUQ24fffJTmuWyfrsQFZfhkdDbz+OlCK2YzIMSUlyQ3kzp1y3KkTEBsrU1yIiBxZRgYwejSwcKEcP/WUNDyrXVvbuCwoI0Nmx8+dC5w5I+dcXYEBA4Dhw2WwxlzMMnX80qVL6NWrF3x8fKDX61G3bl0kJCSY41JEZOf27wc6d5Z/G9askSK7VSvZheLYMeDNN22ryGZ+JFLRV1/JE7edO+XOaelSYMsWFtk2ivmRSEW//y7bGuYV2UOGSMMzBymyb90CZs6UJYZvvy1Ftrc3MHEicP689IEzZ5ENmGFE++bNm2jevDlat26N7du3o2LFijhz5gy8vLzUvhQR2SlFkXUys2YBe/fKOZ1OduaJjpZ/N2wR8yORStLTZb3Ihx/KcZ06MkpTs6a2cVGJMT8SqURR5KHju+/KcK6vL7B6NdC+vdaRWcTly7LEcPlyIC1NzgUGyl/HgAFAuXKWi0X1QjsmJgaBgYFYvXp1/rlgcz8uICK7kJ0NfPqpTBH/73/lnIsL0Ls3MGIEUKOGtvE9KuZHIhX85z+yqO733+V42DAZtihTRtu46JEwPxKpICUF6N8f2LZNjtu1kyLbz0/buCzgzz9l6flHH8n9JCCzIaOjgR495H7S0lSfOr5161Y0bNgQr732GipWrIh69eph5cqV9319ZmYmUlNTC3wRkWO5c0em8ISESFH93/8Cbm4yYJWYCKxaZftFNlD8/AgwRxLlM5lkCmSjRlJk+/kBO3YA8+ezyLYDzI9Ej2jnTllKs20bULq0DOv+3//ZfZH9889A164yoSk2VorsFi3kr+E//wHCwrQpsgEzFNp//fUXli5ditDQUOzYsQODBg3C0KFD8dFHHxX6+pkzZ8LT0zP/KzAwUO2QiMhKXbsGTJok62ciI2XNTMWKwPTp8uc5c4DHHtM6SvUUNz8CzJFEAOCUkiLTHocNk67iHTrIHVTbtlqHRiphfiQqocxMmRf94ovAlSvAk08Cv/wCREUBTva5k7OiSCP11q2BJk2AzZvlXKdOwL59wE8/yT8TWv/4OkVRd3vu0qVLo2HDhti/f3/+uaFDh+LQoUM4cODAPa/PzMxEZmZm/nFqaioCAwNhMBjg4eGhZmhEVunIkSNo0KABEhISUL9+fa3DsYhz52QQatUqwGiUc9WqyfTwPn2kp9GjSE1Nhaenp9XlkeLmR4A5koonKSkJo0ePho+PD9zd3bUO55GlpaWh8vHjGHrsGJyvXwfKlgXmzZPONhpvS2Otf9dpaWm4fv06Zs6cCX9//3u+z/xIZEf++EO6wh47JseDB8sohV6vbVxmkpMDfP45EBMDHD8u50qVAnr2lHvIp556tM9XOz+qvkbb398fTz75ZIFzNWvWxMaNGwt9fZkyZVCGU76IHMKvv8r66/XrZT9DAKhXT7a+7dZN9jO0Z8XNjwBzJJWMMe8Jlg0rlZ2NDj/+iNZ5DRtq15bk8ah3UmSVmB+JikFRpNvX8OHSHLJCBZk33amT1pGZhdEoS83nzZMlhYA0Nfv3v+WvwFons6heaDdv3hx//vlngXMnT55ElSpV1L4UEdkARZHO4TExslQoT5s20qDi+ec1H5iyGOZHMje9Xo8KFSrg2rVrSE9P1zqcEqt88yYG7tmDwFu3AACZgwahzIIFMqJNdon5kaiIrl2T9tlffinHL7wg+58WMoPF1t24IZtLvP++/NiAPFMYOhR45x3ZrsuaqV5oDxs2DM2aNcOMGTPw+uuv45dffsGKFSuwYsUKtS9FRFbMZJJGFDExQN6sP51ORq6jo4GGDbWNTwvMj2Runp6eGD9+vO2OaCsK9LGx8Jg+HbrMTOT6+iJj6VKU69ZN68jIzJgfiYrgu++ka2xSkjQ8mznTLtdiX7ggvdxWrJCGuYDsef3uu0C/frYzM171QrtRo0bYvHkzRo8ejSlTpqBq1apYuHAhevbsqfaliMgKZWUBn3wiU8T/+EPOlS4NhIdLF/HQUE3D0xTzI1lCXmMom3P1KtC3L7B9uxy//DKcV69GuYoVtY2LLIL5kegBsrKAsWOBuXPl+IknZClN3braxqWyP/6Q+8e1a2U9NiCN1KOjgddfl/XYtsQs4Xbo0AEdOnQwx0cTkZVKSwNWrpQnkBcvyjkPD+lZFBlplzOaSoT5kagQ27fL07jkZNmqa+5cmRfoKOtKCADzI1GhTpyQhmdHj8rxoEGyWNlWhnWLYP9+mQG5devdc88+KwV2u3a2+0+BjT0XICJrk5Iie2AvWQLcvCnn/PxkF56BAwFbHFgjIgvJyJA7qUWL5LhWLZkSU7u2tnEREWlNUWQEIypKGp75+Mh2LV26aB2ZKhQF+PprKbB/+knO6XTy40VHA40baxufGlhoE1GJJCbKA9XYWLlXBmRa+IgRQFgYexYR0UP8978ySvPrr3IcESF3XI+6vx8Rka27fl1aam/eLMdt2gAffQQEBGgblwqys4FPP5Up4nmbSri4yL3jiBEyK95esNAmomI5flzuhT/77O4WXQ0byhZdXbrY/xZdRPSIFEWmwIwYIU/pKlaUfVteflnryIiItPf999Lw7PJlqUBnzJA9rGy84dmdOzI4M28ecP68nHNzk9mPw4YBjz2mbXzmwEKbiO5x6tQpxMXF4ezZswgODkbfvv1w+XIoYmKAb765+7q2bWV6T+vWtrt+hogsKDkZ6N8f+OorOX7pJSmyK1XSNq5iOnXqFBYtWoTdu3fD19cXjRs3ho+Pj9ZhEZEty8oCxo2THhWKAtSoIUtp6tfXOrJi+ec9ZJcuA7B9e3UsXiwD9YA8X42MlD4+5ctrG685sdAmogJWr16NAQMGQKfTwWQCdLrOmDXrRv73nZyA116TArtePQ0DJSLbsmMH0KePdBcvU0bmDUZE2NxTuoI50oRz587h8OHD6NSpE+raWQdgIrKQkydlKU1Cghy/9RYwfz5Qrpy2cRVTwfwYCKApZs3yy/9+tWqyA014uGOsEmKhTUT5Tp06hQEDBsBkKgWgB4BOUJSXAOgBpOPNN7MwZYonqlfXNk4isiGZmbK2ZOFCOX7ySdmW5umntY2rBO7mSNM939u6dSuCgoLg7e2tQWREZJMUReZTR0YCRiPg7S0Nz155RevIiu1ufqwJYCSAN3G31DyChQsD8M47fja3RdejcKAflYgeZunSdVCUdwFEArgKoAGAHwHsg5PTEgQF9UH16jM1jZGIbMjvv8sozfHjcvzOO8CcOTY7lBEXFwfdA0bgDx48iJYtW1owonsZjUZNr09ERXTjhoxcb9wox889Jw3PbHSx8uTJ38Nk2gqg/d/Ofg8gBk5OP+DKlREoVcqx7iFZaBMRrl4F3n8fWLx4BBQlb5rS/zoB42UA6QCccPbsWU3iIyIboyjAsmXSwCcjA6hQQdZi2/geyWfPnoWiKPf9fkpKCq7nLULUUIUKFaC3oz12iezOjz9Km+1Ll4BSpYDp02VOtY01PDOZpOVGTAywf/+gvLMANgKYDeDw/8455j0kC22yC/9svNCvXz+EhoZqHZbVO3NGem6sXi2zO4FyAE5AkuPa/70qHQCg0+kQHBysRZhE9Agsnh9TUoABA4CtW+X4xReB+HjAz++Bb7MFwcHB9x3RdnJyQocOHTBmzBgLR3UvvV4PT09PrcMgsnoWz49ZWcDEiVKZKgrw+OPS8KxBA/Nd0wyysmQF0OzZMnEJAJydc2AyrYaizAFwqsDrHfYeUrEyBoNBAaAYDAatQyEbERcXpzg5OSnOzs4F/rt69WqtQyuShIQEBYCSkJBgwWsqyuuvK4qTk6JIpleUxo0VZcmSS4pO56wAuOfLyclJOXXqlMVifBT2nEfs+Wcj9Vk8P+7cqSh+fpJUSpdWlAULFCU31zzX0sDJkycVJycnm86R9pxD7PlnI/VZPD+ePKkoDRvevfEaMEBRbt82z7XMJC1NUebPV5TKle/+GB4eihIdrSh7955hfvwH25qfQPQPf29Mk5ubW+C//fv3x+nTp7UO0WooimzN2LatPDj97DOZ8vPSS8CuXcCBA8DgwQGIi1sFJycnODs7F/hvbGwsQkJCtP4xiKiILJofMzOBd9+VBHPlijQ8++UXICrK5qZCPkhoaChiY2OZI4lsnEXzo6IAcXGyVcvhw7Kf1RdfACtX2kxX8ZQUYMIEIChIVgRdvCiTlGbNkj2xZ80Cmjevxvz4D5w6TjbtQY1pdDodYmNjMXOmYzVe+KfcXGDTJpmllLdrhLMz0L07MHIkUKdOwdeHh4ejRYsWiI2NzZ9K1b9/f4dMkETWwmAwFLvJ1aJFiyyTH0+cAN54Azh2TI7fflvWpNjpGmHmSCLbZ7H7x5s3gYEDgc8/l+NWraThWWDgo3+2BSQmAvPmyXOCdFlJiJAQuX8MCwPKli34eubHglhok017UGMaRVEcsvFCnowMyeVz5gB5D2ZdXYH+/WXg6UFLZUJCQhz+AQWRtTAYDJg6dSquXbtWrPft3r270G2oAJXyo6IAK1YAw4bJHZiPj9yNder0aJ9rA5gjiWybRe4fd++WavTCBWl4NnUqMGKEjHZYuePHZf31hg0yYAMADRsC0dGy89iDfgTmx7tYaJNNe1BjGkdtvGAwAEuXShfxK1fkXPnywJAhQEQE4OurbXxEVDxGoxHXrl2Dq6trsTpJ+/r64ty5c4V+75Hz47Vr0vDsyy/l+IUXgDVrAH//kn8mEZGFmPX+MTsbmDQJmDlTHkiGhEjDs0aNSv6ZFqAo8mwgJgb45pu75194ARg1CmjdGnjA7oZUCPtZOEUOqV+/fg98Itm/f38LR6SdpCR50hgUBIweLUV25crAggWyfmbKFBbZRLZMr9fD3d29yF+NGze+72c9Un787jvg6aelyHZxkXmF33zDIpuIbIbZ7h9PnwZatABmzJDKtV8/4OhRqy6yTSZg82agaVMppr/5RlprdO8uSw537pQtvllkFx8LbbJpf29M4/S/hjt5f3aUxgsnTwL//rdMBZ89G0hNlT5E8fGyfVdUFODmpnWURGRpPj4+6NSpE3Q6Xf7XIzWmycqSaY8vvCBP9p54Avj5Z+mMY0cNz4jI/qne2FBR5MarXj1pBOnlJV1nY2Ot9iYsM1PCe/JJoGtXSedlygCDBsm95aefAvXrax2lbePUcbJ5eY0Xpk+fjvj4ePTu3Rtjx461+yL70CGZ3rNpk+R3AGjWTKb3tG/P+14iAurWrYugoCAcPHgQKSkp6NChAyIjI4ufH//8UxqeHT0qxwMHAvPn223DMyKyf6o17rp1S3LiZ5/J8TPPAGvXWm3Ds9RUaa+xYAFw+bKc8/QEBg8GIiOBSpW0jc+esNAmuxASEoKIiAjEx8cjIiLCbotsRQG+/Va2Ufjxx7vnO3SQaeMtWmgXGxFZJ29vb7Rs2RLXr1/HmDFj4F+cKd6KAqxaJVNjjEbA21uGQLp0MV/AREQW8siNu376CejVS9boOTvLOr3oaKtseHb1qvTv+fBD6ecDAAEB0s/yrbcADw9t47NHLLSJbEBOjmy5OHv23QGlUqVkgGnkSKBWLW3jIyI7dP26rEvZvFmO27SRrQwCArSNi4hIa9nZUlTPmCGLnKtXl4Zn//qX1pHd48wZ2XFx9WqZLg4ANWrISqBevWS6OJkHC20iK5aeLkt+5s4F/vpLzun1cu87fLg0PiMiUt0PPwC9ewOXLknDs+nTZV9ArkkhIkd35gzQs6csagaA8HBg0SLA3V3TsP7p6FFZYvj55/IsAJDnAKNGAZ07M51bAgttIit086ZM7Vm0CEhOlnM+PrI915Ah8mciItVlZQHjxwNz5si08ccfB9avZ0ccIiJFAT7+GHjnHeD2bVnYvHy5tOe2Eooiz0ljYmSpYZ527WRG+7PPsnu4JbHQJrIily5Jc4rlyyWHA0CVKjKQ1K8fUK6ctvERkR07eRJ4803ZzwWQqTMLFjDxEBEZDMDbb8uDRwBo2VKK7ipVtI3rf3JzZZVPTAxw+LCcc3ICevSQJYZ16mgbn6NioU1kJSZNkr0Ls7PluFYtefrYvbvM3CQiMgtFAeLigKFD7zY8W7UKeOUVrSMjItLevn0yVfzcOWlyNmkSMHq0VTQ8y8iQ1hlz5wKnTsm5smWB/v1lkKZqVW3jc3QstIk0dPCg5GoA2LZN/tuypayfeeklTu8hIjO7cUPazW7cKMetW8tdW+XK2sZFRKS1nBxg6lRg2jRZ5Fy1qjQ8a9JE68hgMADLlgELFwJXrsi58uVleWFEBODrq218JFhoE1mYogDbt8v0nj177p5/9llg5kygaVPtYiMiB7JrFxAWBly8KNsYTJsGvPeeVYzSEBFpKjFRRrEPHJDjsDBg8WLN98BKSpLietky2Q8bkOeiw4fLah83N03Do39goU1kITk5wIYNskXXf/4j51xcgO7dn0Dnzgl4+eUnoNdrGyMROYDsbGDCBHnapyhAaKiM0jRsqHVkRETaW7sWGDwYSEuTwnrZMtlPVUOnTkmPyjVrpGclANSsKUsM33gDKF1a0/DoPlhoE5mZ0SjLH+fOleU9gPQWGjgQGDYMqFxZD4AdfYnI/Jz/+gvo1Olut5z+/WV4hMMgROToDAYpsD/5RI6bN5eiOzhYs5AOH5Znohs3ynNRAGjWTArsDh24RZe1Y6FNZCbXrwNLlgAffABcuybnfH2l39DgwdJviIjIIhQFLU+dQoW2beXpX/nywMqVQLduWkdGRKS9/ftlqvjZs7J8ZsIEYMwYWVZjYYoiW3PFxMhWXXnat5cePi1aWDwkKiEW2kQqu3ABmD9f7mHv3JFzwcHAiBFA376Aq6um4RGRjTIajSV6n2tGBt785hs0+OsvOdGqlTQ8CwxULzgiIluUkwNMny5Nz3Jz5Ybtk080aZiTkyMj1zExwNGjcs7ZWXZdHDECqF3b4iHRI2KhTaSS336T9deffCLJEpB9C6Ojgdde0+ShKBHZAb1ejwoVKuDatWtIT08v1nsfv3IFA/fuhc+dO8h1ckL2uHEoO2ECG54REZ09C/TqJdt3ATKivWQJ4Olp0TDS04H4eFlimPc8VK8HBgyQJmdWslU3lQBv/Yke0b598vQxb3suQAaMRo0C2rblFl1E9Gg8PT0xfvz44o1oZ2fDfd48lPvoI+gUBTlVqyIjNhZurVubL1AiIlvxySfA229L6253d2DpUim0LejWLeDDD4H33weSk+Wct7csMXznHaBCBYuGQ2bAQpuoBEwm4OuvgVmz7j4I1emAV16REex//Uvb+IjIvnh6esKzqKMsZ87IXMNffpHjvn1RatEiuLHhGRE5utRUqWLXrpXjpk2Bdetkj2wLuXQJWLAAWL4cuH1bzgUFAe++K/0py5WzWChkZiy0iYohOxtYv16miP/2m5xzcQF695b1MzVqaBsfETkwRZG110OGyN2blxewYoWsXSEicnQHDsiodWKitOsePx4YN85ia/tOnJAtuj7+WO4nAaBWLWDkSKBHD7mfJPvCQpuoCO7cAVatAubNk2ZngMw0GjQIiIoCAgK0jY+IHNytW5KQNmyQ42eekbu5oCBt4yIi0lpuLjBjBjB5svy5ShUZxW7e3CKXP3hQlhh++eXdLbpatpQZkC+/zCWG9oyFNtEDXLsm23MtXgzcuCHnKlUCIiNlaY+Xl7bxERHhp5+koc/589LkbMoUuYNjwzMicnTnzkl+3LtXjt94QxZGm/kGTlGAb76RAnv37rvnO3WS9NysmVkvT1aChTZRIc6dk9HrVaukGyQAVK8u08P79AHKltU2PiIi5ORIUT19ujSOqFZNGvw0bqx1ZERE2vv0U5npYzDINMQlS6ToNuMQck4O8NlnssTw+HE5V6qUXHbECODJJ812abJCLLSJ/uY//5Hk+OmnMrsIAOrXl6eP3bpxgIiIrMRff8law4MH5bhPH5l+4+6ubVxERFpLSwMiIoA1a+S4SROZKl6tmtkuaTQCcXEySHP2rJwrVw546y1g2DAgMNBslyYrxkKbHJ6iyMzLmBjpJJ6nTRvZoqtNG66fISIroSjSLfedd+Rm0tNTWtd27651ZERE2vv5Z3kIeeaMNDwbO1aanpmp09iNGzJQvmiRLDcEZFuuyEhg8GDZroscFwttclgmE7B1qxTYeYNCOh3w6qsygt2ggbbxEREVYDBIc4j16+W4RQspuqtU0TYuIiKt5ebKnqsTJ8qfg4IkP7ZsaZbLXbgAzJ8PrFwpDXMBIDgYeO89oG9fQK83y2XJxrDQJoeTlSUziGbPlq0WAKBMGZl5+d57QGiotvEREd1j3z4ZpTl3TtawTJoEjB7N9SxEROfPA2FhwJ49cty9O7BsmVkanv3+u9w/rlsn67EB4OmnZQbka69ZbKcwshH8dSCHkZYmTx7nzwcuXZJzHh4ytScyEvDz0zY+IqJ75OQA06YBU6fKNJyqVaXhWZMmWkdGRKS9zz+XhdC3bgFubrJNTO/eqq/5279fBsy3bbt7rlUrmQH54otcYkiFY6FNdi85WdbOLFkieRgA/P1l/+uBA2WJIxGR1UlMlFa1+/fLcViY3ER6eGgbFxGR1m7fBoYOBVavluN//UuGmUNCVLuEySS9e2Ji7u4OptMBXbpIgc0NHuhhWGiT3frrL+n+GBcHZGTIuccfl+0VwsJkujgRkVVat06m26SmSmG9bJns/0pE5OgOHQLefBM4fVoq3zFjZG22Sg3PsrNl95mYGOC33+Sci4sMlI8YAdSoocplyAGw0Ca78+efwJw5so+hySTnGjWSp49dunBJIxFZMYNBOoqvWyfHzZtLQ5/gYE3DIiLSXG6uLJCeMEGW1QQGSn585hlVPv7OHWDVKllieP68nHNzk624o6KAxx5T5TLkQJzMfYGZM2dCp9MhKirK3JciB6Yo8oATkIecn34qRfaLLwI//CC7PXAfbLI2zI9UwP79QN26UmQ7OUnDs127WGSTQ2J+pAIuXJD9VseMkSL79deB48dVKbKvXZN0GxQkBfX580DFisCMGXLZOXNYZFPJmHVE+9ChQ1ixYgWefvppc16GHFhuLvDll9KgIq/Q1umk4eTIkUC9etrGR3Q/zI+ULydH7uimTJGkFhwsxXazZlpHRqQJ5kcqYONG4N//Bm7eBMqVAz74AAgPf+QOZOfOyRLD2FjAaJRz1arJ9PA+fQBX10cPnRyb2Qrt27dvo2fPnli5ciWmTZtmrsuQg8rMBD7+WJ4ynjwp50qXlq27tmwBOnXSNj6iB2F+pHxnz0rDs337AADpXbvCMGMGFA8PICnJIiHo9Xp4siskWQnmR8p3+7YMMcfGynHDhrLrwiPuw/rrrzIDff16ebYJyMDMqFGc/UjqMluh/c4776B9+/Z4/vnnH5goMzMzkZmZmX+cmppqrpDIDqSmAsuXAwsW3L0H9fKSJY0DBjyBGzcS8MQTT2gbJNFDFDU/AsyRdm39eln8l5qKjNKlseZf/8IBd3dg5kyLhlGhQgWMHz+exTZZBeZHAgAcPixrAU+dkpHrUaOAyZNL3PBMUaRz+KxZ0kk8T5s20sPn+ee5RRepzyyF9qeffoojR47gUN5c3geYOXMmJk+ebI4wyI5cuQK8/z6wdKn0CgJkvcywYbJ9ors7AOgRHFxfwagftAAAIABJREFUyzCJHqo4+RFgjrRLqanAkCEyLQdAVoMGGF+lCm5XrAgfvd6ioRiNRly7dg1Go5GFNmmO+ZFgMsl0xXHjZFnNY49Jw7NWrUr8cdu2SQfxAwfknE4HvPqqLDFs2FC90In+SfVC+8KFC4iMjMTOnTtRtmzZh75+9OjRGD58eP5xamoqAgMD1Q6LbNTp08DcuUB8vEwXB4AnnpDk2LOnTBcnshXFzY8Ac6TdOXhQktdff0nDs3HjcH3AAKSMHw8fvR7u8tTQotLT0y1+TaJ/Yn4kXLwoe2j9+KMcd+sGrFgBeHsX+6OysmSW+ezZwB9/yLnSpWVp93vvPfLsc6IiUb3QTkhIQHJyMho0aJB/Ljc3F3v27MHixYuRmZkJ578tfihTpgzKcENj+oeEBHn6uHHj3S26mjSR6T2dOsn9KZGtKW5+BJgj7UZurjQ8mzxZ/lyliozStGhhsbXYRNaM+dHBbdoEDBggDc/0emDRIqBfv2LP505LA1aulCWGFy/KOQ8P4O23gchIwN/fDLET3YfqhXabNm3w66+/FjjXt29fPPHEE4iOjr4nSRLlURTg+++lwP7uu7vnX35ZCuyWLbl+hmwb86ODOn9eGp799JMc9+gh62C8vLSNi8iKMD86qDt3ZB3gypVy3KCBDEU//nixPiY5WZqRL1kitToA+PnJRw8cCHBlDGlB9ULb3d0dtWrVKnCuXLly8PHxuec8ESCDOxs3yvSehAQ55+ws96IjRwLc3YPsBfOjA9qwQe7yDAbAzU3uAsPC+NSQ6B+YHx3QkSPS8OzPPyUnjhgBTJ1arHWBiYmyxDAuDsjIkHOhofJRYWFAEVchEJmFWffRJnqQjAxgzRpJkKdPyzlXV5k5NHy4bCVLRGST0tKAiAhJcgDQuLHsjV29urZxERFpzWSSDazHjgWys4GAAGkO+dxzRf6I48dlBuRnn93doqtRI5kB2aULt+gi62CRQnvXrl2WuAzZiFu3ZNbk++8DV6/KOW9vacI7ZAjg66ttfESWxPxoh375RUZpzpyRhhJjxgATJpR4WxoiR8X8aIcuXQL69JG1ggDwyisybdzH56FvVRRg927ZomvHjrvn27aVArt1a04WIuvCEW2ymMuXgYULgWXLZLAHAAIDgXffBfr3l1mVREQ2KzdX7gAnTpQ/BwVJw7OWLbWOjIhIe1u2yA3fjRvS8GzhQpnG+JDq2GSSt8bEyHNMQJ5hvv66LDGsV88CsROVAAttMruTJ4GZM41Yu/YEcnKeAKDHU09JcnzjDQ7yEJEduHBBGp7t2SPH3bvLU0U2PCMiR2c0yprA5cvluF49YP16oEaNB74tM1OeVc6eLfeSgKy57ttXBmm4EoesHQttMptffpGnj5s3A4pyAkAD1KmTgGnT6uPll7lFFxHZic8/B956S9bFlCsnDc969+YcRiKio0dlKc2JE3L83nvAtGnAA7ZlS02VmnzhQpkNCcgzy8GDgaFDgUqVLBA3kQpYaJOqFAXYuVMK7B9/vHu+ZUvZ2SYuDqhfX7v4iIhUc/u23PWtXi3HjRrJtjQhIdrGRUSkNZNJNrMePVoanvn7Ax99BDz//H3fcvWq9O/58EPZqAGQPmnDh8uzTHd3C8VOpBIW2qSKnBzgiy+kwD52TM6VKiUPMUeOlOk/DRpoGyMRkWoOHZIEd/q0jFyPHg1MmsS1MERESUnS8Ozbb+W4c2dg1SqgQoVCX376tOxAEx8v94uAzCofORLo2fOBg99EVo2FNj2S9HQZzJk7V/YyBGTm5L//DQwbJr2AANkqkYjI5uXmAnPmAOPHyxPGypVlEeGzz2odGRGR9rZuBfr1A65flz1bFyyQ4ehCltIcOSIDNF98IQPggOyEOGoU0KkTlxiS7WOhTSVy86ZM7Xn/fSAlRc75+MgsynfeKdIuDUREtuXiRSAsDMjbcui112QhYfnymoZFRKQ5o1HWXy9dKsd168pSmpo1C7xMUYAffpANGr777u75l16SLbqeeYbtLch+sNCmYrl4UR5OrlghyxMBoEoVya39+sluDUREdmfjRpmqc/OmTNv54AMgPJx3hEREx4/LNjJ//CHH774LTJ9eYM53bi6waZOMYCckyDlnZ6BHD5ki/vTTGsRNZGYstKlI/vhDZkuuXSs9LQCgdm15+vj661yWSER26s4dICpK1hcCQMOGMkoTGqptXEREWjOZZGrjqFFAVhbg5wesWQO0bZv/kowM6YE2Z46sxQZkRnn//lKPBwdrEzqRJbDQpgc6cECePn755d1zzzwjObVdOw7mEJEdS0iQhmcnT0qyi44GJk8GSpfWOjIiIm1duSKzenbskOOOHYHYWMDXF4B0DV+6VLbounpVXlK+PBARAQwZkv8yIrvGQpvuoSjA9u1SYO/Zc/d8ly5yn9mkiXaxERGZnckkHR7HjZMpPI89Bnz8MdC6tdaRERFp76uvZL1gSgpQtiwwfz4waBCg0yEpSYrrZctkP2wACAyULboGDADc3LQNnciSWGhTvuxsYMMGYPZs4Ndf5ZyLC9CrFzBixD39LOj/27vv8KyqbI/jvyRAAghRQHoLlkFARWMbCWBFEXVQxxlRBASstBik68DoSCjijBKKYEAQECwgoOiIXKTopRoEUSGoBB6lIwkXJIFk3z+WtIGRkpOc9z35fp7nffBsMnnXuVfXc9bZe68NIHh++klq08a69UjSffdZU4py5fyNCwD89uuv9kA4YoRdX365baWpV0/r19vy8IkTbRW5JNWrZxM0rVqxxRBFE4U2tH+/rfYZNkzKyLCxc86RHn/ctiZWr+5vfABQKGbMsCmX3buts+Orr9qsDXtkABR1q1fbVpq1a+366ael5GQtXx2twX+2RmfO2V81amQFdosWHNGFoo1CuwjbtUtKSbHmubt22dj550vduklPPcWJNQCKiH37bF3jmDF2HR9vszQXX+xvXADgN+fsQbFnTyk7W6pUSe6NCZobeZsGNZfmzz/6o3feaQV2QoJ/4QKhhEK7CNq0ybbTjB1rs9mSFBdnq4HatbNukABQJKSl2brGdets5rpHD+mFF2h4BgDbtkmPPGKNeyTl3dFCM+8epxf6VlRamv1IsWI20d2jh9SggY+xAiGIQrsI+fpr23/91lvSoUM21rChvX38858tWQJAkZCXZ28c+/a1BhVVq1rDs5tu8jsyAPDfnDlWZG/fLhcTo0V/ekmPLHtKP8yxrTSlSkmPPmqLgWrW9DlWIERRWgVIenq6xo0bp40bN6p27dpq3769LrroIi1ebB3EP/jg6M/eeKMd0XXrrWw/BBB8x+bHS8uXV2Jamkp98YX95T332BKf8uX9DRIAfHBsfrywenV137ZN5775piRpW6VLdf/Bt7RoWn1JliYPH9FFygR+H4V2QIwfP14dO3ZURESEnHOSIjV48De64IIx2rChkiQrqO+912awr77a33gBoLAcmx/vysvTY86plKRDJUqo2PDhNi3DG0cARdCx+bFeXp76Oqdzf/u7EcW7qfu2QcpWjGrVkrp3t/6QpUv7GjIQNii0AyA9PV0dO3ZUXl6epOKSWknqKam+NmyQihd3ats2Qj160NsHQNFyOD9G5+XpZUlP/Db+paTWBw9q1k036UKKbABF0LHPj50kvaQIxUjapopqpzf08cHmuvRS64P2179yRBdwpmi6HwDjxo2TdI6kbpK+lzRBUn1JWYqIGKrHHkvW2LH+Fdnp6ekaPny4JGn48OFKT0/3JxAARc64cePUUNJKHS2yh0r6o6T1kZFKTU31LTbJ8uPAgQO1YMECLVq0SLsOHwEBAAVs3Lhxqihpts5ViqQYOc1Rc12m1fpYpXX//W/oq6+k1q39KbLT09PVp08ftWrVSn369OH5EWGHGe0wt2OHNHv2VcrL+1FSud9Gt0r6l6TRiojYq127/uJbfIeXJB02ceJETZw4UampqWrXrp1vcQEoAvLyVO/jjzUgL0/Rkn6W1FbSp7/9daRz2rhxo2/hHbtkMy8vTxkZGVqxYoXuvvtuNWzY0Le4AASfc9KhD7YpLS9WlfWLDihaPTRUKaouqaUiI5cpKuovioho50t8/7klMiIiQkOGDOH5EWGFGe0wtXGjNaOoVUtau/Y+WZGdLukxSbUlDZaUqYiICNWuXduXGI9dkmTL2nXknzt06KANGzb4EheAImDLFql5cz28apWiJc2UdJmOFtmSQiY/5ubmyjl35DNr1izt3r3bl7gABNuhQ9Jb4w9ocsVEDf16vCrrF32terpafZWikZLulbQkpPLjsX/y/Ihwwox2mFm92jqIT5sm5ebaWIMGB7R2bVs5966kvON+3jmnDh06FH6gsiVJEf9l72NERIRSU1OVnJxcyFEBCLzZs61jz86dyouJUefsbI1y7oQfC9X8KElLlixR48aNCzyO/fv3F/h3APDf/v3SuHHSzIFr9dKWB3W5VkuShquReupHHVD/434+VPMjz48IJxTaYcA5aeFCK7A/+ujo+C232BFdN90UowkTmqtDh3cVERF1ZImNc06pqam68MILfYl748aNv3VAP5HzeckmgADav1965hlp1Ci7vvxyRb71lq5ZulSvdehw3BLEUM6PkrRjx45C269doUIFlSpVqlC+C0Dh2rVLGjFCGv6q0192jdQsPaOSOqB9pc9XXup4lfl1h3I6dFAUz4+A5yi0Q1henjRzphXYS5faWGSk9Oc/WwfI+PijP9uuXTslJCQoNTX1yDnaHTp08C1JSlLt2rV/942kX0uSAATQV19JrVpJ335r10lJ0sCBUnS02l1ySVjlx8jISN15553q27dvocRSqlQpxcbGFsp3ASgcmzdLL78sjR0rldy3Q+PUXnfpA0lS7q23q/TE8VLlymonhVV+5PkR4STC/d4rdR9kZWUpNjZWmZmZKlu2rN/h+CInR5o0SRo6VPruOxuLjpbatbPJGh9z3xlJT09X3bp1j+zPPlZkZKTWrVvnayJHcAU5jwT53s5KXp706qtSr16WPCtXliZMkJo18zuy30V+hF+CnEOCfG+na+1aacgQacoU2499qz7R5GJtdf6hrXIlSihi8GCpa1ebuQlR5Ef4xescErr/lRVBe/dKw4ZJcXFShw5WZMfGSn36WPOz0aPDp8iWpIsuukipqamKjIxUVFTUcX/6uSQJQEBs3SrdcYf09NNWZN95pzWyCPEiWyI/AvDW559Ld98tNWggTZwoRR7K1tvVk/SJbtP5h7ZK9eopYtkyKTExpItsifyI4GBGOwRs22YTMiNHSnv22FiVKvbs+PjjUrj/n2HDhg0htSQJwRfkPBLkezsjH34oPfKInXEYE2NvKZ98UvqdBmOhiPyIwhbkHBLkezuZvDxpzhxp0CArtCVLgV1u/kYDMx5U6fSvbPCpp6SXXpJKlvQv2LNAfkRh8zqHUGj76IcfLO+NHy8dOGBjF19s+69bt7bl4gDOXJDzSJDv7bT8+qvUo4d195Gkyy6zNZL16/sbFxAmgpxDgnxvxzp4UHrrLVsivnatjZUoIbV52Okf1Uer0uAke7CsUMFajd91l78BA2HC6xxCMzQfpKVZg7N33rG3kZJ0zTW2xfBPf5KiovyNDwBC0po11vDs8JNlYqKUnGwz2gAQcPv2Sa+/bgt4Nm+2sTJlpCeekJLa7FTlfh2k1Fn2F82aSW+8YUskAfiCQruQOCfNn28F9iefHB2/7TY7oqtp07Bb8QgAhcM5afhwW+6TnS1VqmQPkLff7ndkAFDgdu60FJiSIu3ebWOVKtm7xieekM5d8anUrI20ZYtNbQ8aJHXrFvJ7sYGgo9AuYLm50vvvW85bscLGIiOlv/7VnhkbNvQ3PgAIadu22V7sjz6y6xYtbClkxYr+xgUABSwjw2avX3/dds1I0gUX2O6Ztm2lmIhsqV8/+yFJqlvX1pTzcAmEBArtApKdbV0fhw6V0tNtLCZGat9e6t5dqlPH3/gAIOTNmWNF9vbt1rTipZekTp1Y/gMg0Favtv3XU6fahI0kXXmlbTG8777fthh+95304IO2H1Gyqe1hw6RSpXyLG8DxKLQ9lpkpvfaa9M9/2skzknTeefZs2KULkzAAcEoHDtgT5auv2nWDBjZL06CBv3EBQAFxTlq0yLYYzplzdPyWWywd3nzzb+8YnZNeG2NH0/z6q1S+vJSaak1+AIQUCm2PbNkivfKKNGqUlJVlY9WqSUlJ0qOPWrMKAMApfP21zdKsWWPXXbvakycNzwAEUF6eNGuWpbklS2wsMtJmrnv1kuLjj/nhXbukjh1tT6JkVfiECVLVqoUeN4BTo9DOp/R0W834xhtSTo6NXXKJ7b9+8EHrSQEAOAXn7MiuZ56xvTcVK1pibd7c78gAwHM5OdLkybZE/LvvbCw6WmrXztLgCcdFz5sntWkj/fyzVLy4nbjw9NM0PANCGIX2WVqxwt4+vveePR9K0h//aG8f77qLvAcAp237dmtg8eGHdt28uTR+vLXVBYAA2btXGjPGthj+9JONlS0rPfWUNQqvXPk//gc5OdKzz9qsjnPSH/5gW2muuKLQYwdwZii0z4Bz0qefWoE9b97R8TvusCO6EhLo0QMAZ+Tf/7b2udu22XTO0KFS584kUwCBsn27tZ0YMULas8fGqlSxSenHH7di+wTr1kkPPSStXGnXjz0mvfyyVLp0ocUN4OxRaJ+G3Fzp3Xdtec+XX9pYVJTUqpUtEb/0Un/jA4Cwc+CA1KeP9K9/2XX9+jZLQ0IFECA//GCT0ePHW9qTpIsvtiO6Hn7Y3i+ewDlrcNatm7R/v1SunJ3xdc89hRo7gPyh0P4dBw7YFsGXXpK+/97GSpa0PhRJSVLt2n5GBwBh6ptv7E3l6tV23bmzvcksWdLfuADAI6tW2QrIt9+2hmeSdPXVtgLyT3/67Yiuk9m927roTp9u1zfdZOfFVqtWKHED8A6F9kns2WPdw//1L1vqI9nLxC5d7HmwQgV/4wOAsOScJdfu3e1N5vnn2zRPixZ+RwYA+eac9Nln0qBB0iefHB2/7Tbr4XPDDafYFTN/vk1z//STNTx78UXLlzT+AcIShfYxfv7ZmlO89po1q5CkGjUsx3XsyJYYADhrO3ZIHTpIs2fb9e23W5F9QucfAAgvubl24tbgwdLy5TYWGSn95S+2xfCUfctycqS//c1W9jhna8unTPmPs70AhBsKbVmviaFDbWXOwYM2Vr++vX184AF7qQgAOEuffGINz7ZutTMPBw+287GZpQEQxrKzpTfftGfI9ettLCbGDlHo3l2qU+c0fkl6up0Hu2KFXXfsaEsqmd0Bwl6RLrSXLrXnvfffP3pEV0KCFdh33MEzIADkS3a21LevdcmVpHr1bJbm8sv9jQsA8iErSxo92urhLVts7NxzpU6d7B1ixYqn8Uucs1U9XbtK+/ZJ550njR0r3XdfgcYOoPB4XkomJyfr6quvVpkyZVSxYkW1bNlS69at8/przppz0scfSzfeKF13nTRjho3dfbf0+efSokXSnXdSZAPwXqjnR099+60l2cNF9lNP2ZpKimwAJxEO+XHrVjssoWZNm5TZssV6lA0bJm3aJP3jH6dZZP/yi60r79DBiuwbb7TmkBTZQKB4Xk4uWLBAnTp10pIlSzR37lwdOnRIzZo10759+7z+qjNy6JCdHHPFFVLz5tasolgxW8349dfSzJnS9df7GiKAgAvV/Ogp52yqJz7e2u5WqGAJdsQIqVQpv6MDEKJCOT9u2GBnXdeubY3OMjOlunWlcePs+K6kJKlMmdP8ZQsWSJddZufGFitmv3DuXKl69YK8BQA+iHDu8KLpgrFjxw5VrFhRCxYsUJMmTU7581lZWYqNjVVmZqbKli2b7+/fv99W5gwbJv34o42VLm0nJyQlWbMzAMHidR4pKGeaH6UQv7edO21/4cyZdn3rrdKECVKVKv7GBeCIkM4hxwiF/LhypW0xfO+9o0d0XXedzWbfffcZrn48eFDq398Ka+ekiy6SJk+2M78AhASvc0iB79HOzMyUJJUrV+6kf5+dna3s7Owj11lZWZ587+7d0siR0iuv2LOfZBMrXbvaHpr/Eg4AFJpT5Uep4HKk5z79VGrTxtZSlighJSdLiYnswwFwVvzKj85J8+ZZPTxv3tHxO+6wArtx41Mc0XUyGzZYw7PDLcnbt7cH1HPOyXe8AEJXgT4BOeeUlJSkhIQENWjQ4KQ/k5ycrNjY2COfGvmcYt682Waqa9aUnnvOiuzataWUFCkjw8YosgH47XTyo+R9jvRcTo7Uo4fNXm/ZYusply61REyRDeAs+JEfc3Olt9+WrrrK0tm8eVJUlPTQQ9JXX0kffig1aXKGRbZz0htv2L7F5cutY9o770ipqRTZQBFQoEvHO3XqpA8//FCLFy9W9f+y9+RkbyNr1KhxxlP2335rxw9OmmT7sSXbAtOrl/WbKFak+6sDRUs4LI08nfwoeZcjC8R339ksTVqaXT/+uDU/Yy82ELLIj8c7cMB2uLz0kk08S1LJkrYLJinJJmvOyi+/SE88YdW7JDVtameBhdrLUgBHhM3S8S5dumjWrFlauHDh7ybJ6OhoRUdHn/X3fPGF7Z+ZNevoWNOmVmDffvtZLO8BgAJ2uvlRyn+OLBDO2TE0iYnSr79K5ctLr78utWzpd2QAwlxh5cc9e6RRo2wF97ZtNlaunNS5s33OP/+sfq1ZuFBq3dqWWRYrJv397/ZgGhWVj18KINx4Xmg759SlSxfNmDFDn332meLi4rz+CjknzZljBfaiRTYWEWHPeL16Sdde6/lXAkC+FUZ+LHC7dlk3yRkz7Prmm6WJE6WqVf2NC0BYK6z8+PPPdv716NHS3r02VqOG1L27nbaVrxXdBw9aUZ2cbN3TLrhAmjJFuuYaT2IHEF48L7Q7deqkKVOmaObMmSpTpoy2bt0qSYqNjVXJkiXz9bsPHpSmTrUl4l9/bWPFi0sPP2xbBOvWzW/0AFBwCjI/Fop586zh2c8/W/IdOJC92AA8UdD5cd06aehQW72dk2Nj9etLPXtKrVpZSsuX77+3Dd1Ll9p1u3bSq6+ewblfAILG8z3aEf9lrfb48ePVrl27U/7vT7Y2ft8+6xsxbJi0aZP93Dnn2NaXxESpWjWvogcQBKG6BzG/+VHy6d5ycqyT5NChtqToD3+wWZorryyc7wfgmaKWH5ctsxWQM2ZY+pKkRo2k3r2tk3i+3xM6Z9V7p07S//2fFBsrjRljDYIAhJWQ36PtZd2+c6d1C09JsdWKklSxotStm/Tkk9J553n2VQBQ4Aqw92TBWb/eGp6tXGnXjz1mDc9Kl/Y3LgCB4mV+dE7697/tiK7PPjs6ftddtsWwUSOPvmjPHnsgnTrVrhs3tqK7Vi2PvgBAOAvZXtw9e1qu2r/fruvUseXhbdtaN0gAQAFyzpYSdetmibhcOWt4ds89fkcGAL+rcWNpzRr752LF7F1hz562VNwzixdbw7OMDGtyNmCA1KcPDc8AHBGyhfZrr9mfV1xhbx/vu48jugCgUOzebTPX771n1zfdZA3P2KcDIAysWWOLbh59VHr6aalmTQ9/+aFD0vPPSy++aA3P6tSRJk+WrrvOwy8BEAQhW7o2aSI9+6x0yy0c0QUAhWb+fOsw+dNP9nbzxRelZ56h4RmAsNGnj3URL1/e41/8ww/W8GzJErtu00YaPlwKob3uAEJHyBbas2eTtwCg0OTkSP37W9cg56SLL7aGZ/HxfkcGAGekd+8CeIacNEl66ik7Eyw21s4He+ABj78EQJCEbKENACgk6em2iXHFCrvu2NEOmqXhGYCiLjPTCuwpU+y6USNbKk7DMwCnwFpAACiqnJPGjbNmGCtW2FEO774rjR1LkQ0AX3whNWxoRXZUlPT3v1sbc4psAKeBGW0AKIp++UV6/HHpnXfs+oYbrOFZjRq+hgUAvjt0SPrHP6QXXrCGZ3FxNov9xz/6HRmAMEKhDQBFzYIF1vBs82ZrePbCC3Z+IsfSACjqNm60hmdffGHXrVtLI0bQOAjAGWPpOAAUFQcPSv36STfeaEX2hRfaw2Tv3hTZADBlinT55ZYXy5a1Wew336TIBnBWmNEGgKJgwwabpVm2zK7bt5deeUU65xx/4wIAv2VlSZ06WWdxSbr+evvnuDh/4wIQ1pjRBoAgc06aMMEani1bJp17rvT221JqKkU2APzv/1rDs0mTpMhIacAA215DkQ0gn5jRBoCg2rNHeuIJado0u27SxJZB1qzpb1wA4LfcXGngQOsknptrncQnT7bjuwDAAxTaABBEixZZE59Nm2z/9fPPS716sRcbADIyLD8uXmzXDz4ojRwpxcb6GxeAQGHpOAAEycGD0nPP2XFdmzZJF1xgjX369qXIBoCpU63h2eLFUpkytspn8mSKbACeY0YbAILi+++t4dnSpXbdrp306qv2MAkARdnevVLnztLEiXZ93XVWYNep429cAAKLGW0ACHfO2cNjw4ZWZMfG2qzN+PEU2QCwdKnlx4kTreHZ3/5m22sosgEUIGa0ASCcZWZKTz4pvfWWXSckWPfcWrX8jQsA/JabKw0aJPXvb/9cs6bNYick+B0ZgCKAQhsAwtXnn9tS8YwM2389YIDUpw97sQFg0ybp4YelhQvt+oEHpFGj7IhDACgELB0HgHA0cKAd15WRYee9Ll4sPfssRTYATJ9uDc8WLpTOOUeaMEGaMoUiG0ChYkYbAMLR4MH258MPSykpUtmy/sYDAKHikUfsz2uvtaXiF1zgbzwAiiRmtAEgHJUpYzM0EydSZAPAf+rXzxqeUWQD8Akz2gAQjj7/XLr0Ur+jAIDQM2eO1Ly531EAKOKY0QaAcERXcQA4uUaN/I4AACi0AQAAAADwEoU2AAAAAAAeotAGAAAAAMBDFNoeSKmuAAAKfElEQVQAAAAAAHiIQhsAAAAAAA9RaAMAAAAA4CEKbQAAAAAAPEShDQAAAACAhyi0AQAAAADwEIU2AAAAAAAeotAGAAAAAMBDFNoAAAAAAHiIQhsAAAAAAA9RaAMAAAAA4CEKbQAAAAAAPEShDQAAAACAhyi0AQAAAADwEIU2AAAAAAAeotAGAAAAAMBDFNoAAAAAAHiIQhsAAAAAAA8VWKE9cuRIxcXFKSYmRvHx8Vq0aFFBfRUAhBXyIwCcHPkRQFAUSKE9bdo0JSYmql+/fkpLS1Pjxo3VvHlzbdq0qSC+DgDCBvkRAE6O/AggSCKcc87rX3rttdfqyiuv1KhRo46MXXLJJWrZsqWSk5OP+9ns7GxlZ2cfuc7MzFTNmjW1efNmlS1b1uvQABQBWVlZqlGjhvbs2aPY2Fi/wznOmeRHiRwJwFvkRwA4Oc/zo/NYdna2i4qKctOnTz9uvGvXrq5JkyYn/Hz//v2dJD58+PDx/PP99997neLy5Uzzo3PkSD58+BTMh/zIhw8fPif/eJUfi8ljO3fuVG5uripVqnTceKVKlbR169YTfr5Pnz5KSko6cr1nzx7VqlVLmzZtCrk3rfl1+C1JEN+0BvXegnpfUrDv7fCsRrly5fwO5Thnmh+lopMjg/zvI/cWfoJ6XxL5MVwF9d/JoN6XxL2FI6/zo+eF9mERERHHXTvnThiTpOjoaEVHR58wHhsbG6j/xx2rbNmy3FuYCep9ScG+t8jI0DxY4XTzo1T0cmSQ/33k3sJPUO9LIj+Gq6D+OxnU+5K4t3DkVX70PMtWqFBBUVFRJ7x93L59+wlvKQGgKCE/AsDJkR8BBI3nhXaJEiUUHx+vuXPnHjc+d+5cXX/99V5/HQCEDfIjAJwc+RFA0EQNGDBggNe/tGzZsnruuedUrVo1xcTEaODAgZo/f77Gjx+vc88999RBRUXphhtuULFiBbay3TfcW/gJ6n1J3Jsf8psfpdC9t/wK6n1J3Fs4Cup9SaF7b+TH3xfUewvqfUncWzjy8r4K5HgvSRo5cqSGDBmiLVu2qEGDBvrnP/+pJk2aFMRXAUBYIT8CwMmRHwEERYEV2gAAAAAAFEWh2XISAAAAAIAwRaENAAAAAICHKLQBAAAAAPAQhTYAAAAAAB4KuUJ75MiRiouLU0xMjOLj47Vo0SK/Q8q35ORkXX311SpTpowqVqyoli1bat26dX6H5bnk5GRFREQoMTHR71A88dNPP6l169YqX768SpUqpYYNG2rlypV+h5Vvhw4d0rPPPqu4uDiVLFlSderU0fPPP6+8vDy/QztjCxcu1F133aWqVasqIiJC77///nF/75zTgAEDVLVqVZUsWVI33HCD1q5d61O0+Ud+DF/kx/BAfiQ/hpKikh+lYOVI8mPoK6z8GFKF9rRp05SYmKh+/fopLS1NjRs3VvPmzbVp0ya/Q8uXBQsWqFOnTlqyZInmzp2rQ4cOqVmzZtq3b5/foXlm+fLlGjNmjC677DK/Q/HEL7/8okaNGql48eL66KOP9M0332jYsGGnfY5nKBs8eLBGjx6tlJQUffvttxoyZIiGDh2q4cOH+x3aGdu3b58uv/xypaSknPTvhwwZopdfflkpKSlavny5KleurFtvvVV79+4t5Ejzj/wYvsiP4YP8SH4MJUUhP0rBypHkx/BQaPnRhZBrrrnGPfHEE8eN1a1b1/Xu3duniArG9u3bnSS3YMECv0PxxN69e91FF13k5s6d65o2beq6devmd0j51qtXL5eQkOB3GAWiRYsWrn379seN3Xvvva5169Y+ReQNSW7GjBlHrvPy8lzlypXdoEGDjowdOHDAxcbGutGjR/sRYr6QH8MT+TG8kB/Jj6EsaPnRueDlSPJj+CnI/BgyM9o5OTlauXKlmjVrdtx4s2bN9MUXX/gUVcHIzMyUJJUrV87nSLzRqVMntWjRQrfccovfoXhm1qxZuuqqq3T//ferYsWKuuKKKzR27Fi/w/JEQkKC5s2bp/Xr10uSvvrqKy1evFh33HGHz5F568cff9TWrVuPyynR0dFq2rRp2OUU8mP4Ij+GF/Ij+TGUBS0/SsHLkeTH8OdlfizmdXBna+fOncrNzVWlSpWOG69UqZK2bt3qU1Tec84pKSlJCQkJatCggd/h5NvUqVP15Zdfavny5X6H4qkffvhBo0aNUlJSkvr27atly5apa9euio6OVps2bfwOL1969eqlzMxM1a1bV1FRUcrNzdWLL76oVq1a+R2apw7njZPllIyMDD9COmvkx/BEfgw/5EfyY6gKWn6UgpkjyY/hz8v8GDKF9mERERHHXTvnThgLZ507d9bq1au1ePFiv0PJt82bN6tbt2765JNPFBMT43c4nsrLy9NVV12lgQMHSpKuuOIKrV27VqNGjQr7RDlt2jRNmjRJU6ZMUf369bVq1SolJiaqatWqatu2rd/heS5IOSVI93Iy5MfwQH4MjiDllCDdy8kEKT9Kwc2R5Mfg8CKnhEyhXaFCBUVFRZ3w9nH79u0nvFEIV126dNGsWbO0cOFCVa9e3e9w8m3lypXavn274uPjj4zl5uZq4cKFSklJUXZ2tqKionyM8OxVqVJF9erVO27skksu0XvvvedTRN7p0aOHevfurQceeECSdOmllyojI0PJycmBSpSVK1eWZG8mq1SpcmQ8HHMK+TH8kB/DE/kx/HIK+TE8BTVHkh/Dn5f5MWT2aJcoUULx8fGaO3fuceNz587V9ddf71NU3nDOqXPnzpo+fbr+53/+R3FxcX6H5Imbb75Za9as0apVq458rrrqKj300ENatWpVWCbIwxo1anTCERrr169XrVq1fIrIO/v371dk5PH/6UdFRYXl8Qy/Jy4uTpUrVz4up+Tk5GjBggVhl1PIj+GH/BieyI/kx1AS1PwoBTdHkh/Dn6f5MV9t2jw2depUV7x4cZeamuq++eYbl5iY6EqXLu02btzod2j58uSTT7rY2Fj32WefuS1bthz57N+/3+/QPBeEjpHOObds2TJXrFgx9+KLL7r09HQ3efJkV6pUKTdp0iS/Q8u3tm3bumrVqrkPPvjA/fjjj2769OmuQoUKrmfPnn6Hdsb27t3r0tLSXFpampPkXn75ZZeWluYyMjKcc84NGjTIxcbGuunTp7s1a9a4Vq1auSpVqrisrCyfIz9z5MfwR34MfeRH8mMoKUr50blg5EjyY3gorPwYUoW2c86NGDHC1apVy5UoUcJdeeWVgTjCQNJJP+PHj/c7NM8FIUkeNnv2bNegQQMXHR3t6tat68aMGeN3SJ7Iyspy3bp1czVr1nQxMTGuTp06rl+/fi47O9vv0M7Y/PnzT/rfVtu2bZ1zdkRD//79XeXKlV10dLRr0qSJW7Nmjb9B5wP5MbyRH0Mf+ZH8GEqKUn50Ljg5kvwY+gorP0Y459yZzYEDAAAAAID/JmT2aAMAAAAAEAQU2gAAAAAAeIhCGwAAAAAAD1FoAwAAAADgIQptAAAAAAA8RKENAAAAAICHKLQBAAAAAPAQhTYAAAAAAB6i0AYAAAAAwEMU2gAAAAAAeIhCGwAAAAAAD/0/LHqI1sYZPosAAAAASUVORK5CYII=", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "L1 line: 1.65 + 0.47x\n", "L2 line: 0.96 + 0.72x\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "┌ Warning: `getindex(o::PyObject, s::Symbol)` is deprecated in favor of dot overloading (`getproperty`) so elements should now be accessed as e.g. `o.s` instead of `o[:s]`.\n", "│ caller = top-level scope at In[15]:60\n", "└ @ Core ./In[15]:60\n", "┌ Warning: `getindex(o::PyObject, s::Symbol)` is deprecated in favor of dot overloading (`getproperty`) so elements should now be accessed as e.g. `o.s` instead of `o[:s]`.\n", "│ caller = top-level scope at In[15]:60\n", "└ @ Core ./In[15]:60\n" ] } ], "source": [ "using DataFrames, Distributions, PyPlot, PyCall, Random, LinearAlgebra, CSV, HTTP\n", "\n", "patch = pyimport(\"matplotlib.patches\")\n", "line = pyimport(\"matplotlib.lines\")\n", "Random.seed!(0)\n", "\n", "rr = HTTP.request(\"GET\", \n", " \"https://raw.githubusercontent.com/h-Klok/StatsWithJuliaBook/master/data/L1L2data.csv\"; verbose=0)\n", "data = CSV.read(IOBuffer(String(rr.body)))\n", "#data = CSV.read(\"L1L2data.csv\")\n", "\n", "xVals, yVals = data.X, data.Y\n", "n, N = 5 , 10^6\n", "alphaMin, alphaMax, betaMin, betaMax = 0, 5, 0, 5\n", "alpha1, beta1, alpha2, beta2, bestL1Cost, bestL2Cost = 0.0,0.0,0.0,0.0,Inf,Inf\n", "for _ in 1:N\n", " rAlpha,rBeta=rand(Uniform(alphaMin,alphaMax)),rand(Uniform(betaMin,betaMax))\n", " L1Cost = norm(rAlpha .+ rBeta*xVals - yVals,1)\n", " if L1Cost < bestL1Cost\n", " alpha1 = rAlpha\n", " beta1 = rBeta\n", " bestL1Cost = L1Cost\n", " end\n", " L2Cost = norm(rAlpha .+ rBeta*xVals - yVals)\n", " if L2Cost < bestL2Cost\n", " alpha2 = rAlpha\n", " beta2 = rBeta\n", " bestL2Cost = L2Cost\n", " end\n", "end\n", "\n", "fig = figure(figsize=(12,4))\n", "ax1 = fig.add_subplot(1,3,1)\n", "ax1.set_aspect(\"equal\")\n", "plot(xVals,yVals,\"k.\",ms=10)\n", "plot([0,10],[alpha1, alpha1 .+ beta1*10],\"b\",label=\"L1 minimized\")\n", "legend(loc=\"upper left\")\n", "xlim(0,10);ylim(0,10)\n", "\n", "ax2 = fig.add_subplot(1,3,2)\n", "ax2.set_aspect(\"equal\")\n", "plot(xVals,yVals,\"k.\",ms=10)\n", "plot([0,10],[alpha2, alpha2 .+ beta2*10],\"r\",label=\"L2 minimized\")\n", "legend(loc=\"upper left\")\n", "xlim(0,10);ylim(0,10)\n", "\n", "ax3 = fig.add_subplot(1,3,3)\n", "ax3.set_aspect(\"equal\")\n", "plot(xVals,yVals,\"k.\",ms=10)\n", "plot([0,10],[alpha1, alpha1 .+ beta1*10],\"b\",label=\"L1 minimized\")\n", "plot([0,10],[alpha2, alpha2 .+ beta2*10],\"r\",label=\"L2 minimized\")\n", "legend(loc=\"upper left\")\n", "xlim(0,10);ylim(0,10)\n", "\n", "d = yVals - (alpha2 .+ beta2*xVals)\n", "for i in 1:n\n", " x,y = xVals[i],yVals[i]\n", " l=line.Line2D([x, x], [y, alpha1 .+ beta1*x], lw=1,color=\"black\")\n", " r=patch.Rectangle([x,y],-d[i],-d[i],lw=1,ec=\"black\",fc=\"black\",alpha=0.5)\n", " ax1[:add_artist](l);ax2[:add_artist](r)\n", "end\n", "println(\"L1 line: $(round(alpha1,digits = 2)) + $(round(beta1,digits = 2))x\")\n", "println(\"L2 line: $(round(alpha2,digits = 2)) + $(round(beta2,digits = 2))x\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "## General least squares\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.945, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945, 0.945, 0.944, 0.945, 0.945]\n", "[0.716, 0.716, 0.716, 0.716, 0.716, 0.716, 0.716, 0.716, 0.717, 0.716, 0.716]\n" ] } ], "source": [ "using DataFrames, GLM, Statistics, LinearAlgebra, CSV, HTTP\n", "\n", "r = HTTP.request(\"GET\", \n", " \"https://raw.githubusercontent.com/h-Klok/StatsWithJuliaBook/master/data/L1L2data.csv\"; verbose=0)\n", "data = CSV.read(IOBuffer(String(r.body)))\n", "#data = CSV.read(\"L1L2data.csv\")\n", "\n", "xVals, yVals = Array{Float64}(data.X), Array{Float64}(data.Y)\n", "n = length(xVals)\n", "A = [ones(n) xVals]\n", "\n", "# Approach A\n", "xBar,yBar = mean(xVals),mean(yVals)\n", "sXX, sXY = ones(n)'*(xVals.-xBar).^2 , dot(xVals.-xBar,yVals.-yBar)\n", "b1A = sXY/sXX\n", "b0A = yBar - b1A*xBar\n", "\n", "# Approach B\n", "b1B = cor(xVals,yVals)*(std(yVals)/std(xVals))\n", "b0B = yBar - b1B*xBar\n", "\n", "# Approach C\n", "b0C,b1C = A'A \\ A'yVals\n", "\n", "# Approach D\n", "Adag = inv(A'*A)*A'\n", "b0D,b1D = Adag*yVals\n", "\n", "# Approach E\n", "b0E,b1E = pinv(A)*yVals\n", "\n", "# Approach F\n", "b0F,b1F = A\\yVals\n", "\n", "# Approach G\n", "F = qr(A)\n", "Q, R = F.Q, F.R\n", "b0G,b1G = (inv(R)*Q')*yVals\n", "\n", "# Approach H\n", "F = svd(A)\n", "V, Sp, Us = F.V, Diagonal(1 ./ F.S), F.U'\n", "b0H,b1H = (V*Sp*Us)*yVals\n", "\n", "# Approach I\n", "eta,eps = 0.002,10^-6.\n", "b,bPrev = [0,0], [1,1]\n", "while norm(bPrev-b) > eps\n", " bPrev = b\n", " b = b - eta*2*A'*(A*b - yVals)\n", "end\n", "b0I,b1I = b[1],b[2]\n", "\n", "# Approach J\n", "modelJ = lm(@formula(Y ~ X), data)\n", "b0J,b1J = coef(modelJ)\n", "\n", "# Approach K\n", "modelK = glm(@formula(Y ~ X), data,Normal())\n", "b0K,b1K = coef(modelK)\n", "\n", "println(round.([b0A,b0B,b0C,b0D,b0E,b0F,b0G,b0H,b0I,b0J,b0K],digits=3))\n", "println(round.([b1A,b1B,b1C,b1D,b1E,b1F,b1G,b1H,b1I,b1J,b1K],digits=3))" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Accuracy: 0.8603\n", "Confusion Matrix:\n" ] }, { "data": { "text/plain": [ "10×10 Array{Int64,2}:\n", " 944 0 18 4 0 23 18 5 14 15\n", " 0 1107 54 17 22 18 10 40 46 11\n", " 1 2 813 23 6 3 9 16 11 2\n", " 2 2 26 880 1 72 0 6 30 17\n", " 2 3 15 5 881 24 22 26 27 80\n", " 7 1 0 17 5 659 17 0 40 1\n", " 14 5 42 9 10 23 875 1 15 1\n", " 2 1 22 21 2 14 0 884 12 77\n", " 7 14 37 22 11 39 7 0 759 4\n", " 1 0 5 12 44 17 0 50 20 801" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Flux.Data.MNIST, PyPlot, LinearAlgebra\n", "using Flux: onehotbatch\n", "\n", "imgs = MNIST.images()\n", "labels = MNIST.labels()\n", "nTrain = length(imgs)\n", "\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", "nTest = length(testImgs)\n", "\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", "yDat(k) = tfPM.(onehotbatch(trainLabels,0:9)'[:,k+1])\n", "bets = [Adag*yDat(k) for k in 0:9]\n", "\n", "classify(input) = findmax([([1 ; input])'*bets[k] for k in 1:10])[2]-1\n", "\n", "predictions = [classify(testData[k,:]) for k in 1:nTest]\n", "confusionMatrix = [sum((predictions .== i) .& (testLabels .== j))\n", "\t\t\t\tfor i in 0:9, j in 0:9]\n", "accuracy = sum(diag(confusionMatrix))/nTest\n", "\n", "println(\"Accuracy: \", accuracy)\n", "println(\"Confusion Matrix:\")\n", "confusionMatrix" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "" ], "text/plain": [ "28×28 Array{Gray{N0f8},2} with eltype ColorTypes.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": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imgs[1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "---\n", "## PCA and data-reduction\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using MultivariateStats, RDatasets, PyPlot, LinearAlgebra, Flux.Data.MNIST\n", "\n", "imgs, labels = MNIST.images(), MNIST.labels()\n", "x = hcat([vcat(float.(im)...) for im in imgs]...)\n", "pca = fit(PCA, x; maxoutdim=2)\n", "M = projection(pca)\n", "\n", "function compareDigits(dA,dB)\n", " imA, imB = imgs[labels .== dA], imgs[labels .== dB]\n", " xA = hcat([vcat(float.(im)...) for im in imA]...)\n", " xB = hcat([vcat(float.(im)...) for im in imB]...)\n", " zA, zB = M'*xA, M'*xB\n", " plot(zA[1,:],zA[2,:],\"r.\",ms=\"0.5\",label=\"Digit $(dA)\")\n", " plot(zB[1,:],zB[2,:],\"b.\",ms=\"0.5\",label=\"Digit $(dB)\")\n", " xlim(-5,12.5);ylim(-7.5,7.5)\n", " legend(loc=\"upper right\")\n", "end\n", "\n", "fig = figure(figsize = (15,10))\n", "for k in 1:5\n", " aFig = fig.add_subplot(2,3,k)\n", " aFig.set_aspect(\"equal\")\n", " compareDigits(2k-2,2k-1)\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "---\n", "## (Stochastic) Gradient descent\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using PyPlot, Random\n", "\n", "n = 10^3\n", "beta0 = 2.0\n", "beta1 = 1.5\n", "sigma = 2.5\n", "\n", "Random.seed!(1958)\n", "xVals = rand(0:0.01:5,n)\n", "yVals = beta0 .+ beta1*xVals + rand(Normal(0,sigma),n)\n", "\n", "pts = []\n", "eta = 10^-3.\n", "b = [0,0]\n", "push!(pts,b)\n", "for k in 1:10^4\n", " i = rand(1:n)\n", " g = [ 2(b[1] + b[2]*xVals[i]-yVals[i]),\n", " 2*xVals[i]*(b[1] + b[2]*xVals[i]-yVals[i]) ]\n", " b = b - eta*g\n", " push!(pts,b)\n", "end\n", "\n", "figure(figsize=(10,5))\n", "subplot(121)\n", "plot(first.(pts),last.(pts),\"k\",lw=\"0.5\",label=\"SGD path\")\n", "plot(b[1],b[2],\".b\",ms=\"10.0\",label=\"SGD\")\n", "plot(beta0,beta1,\".r\",ms=\"10.0\",label=\"Actual\")\n", "xlim(0,2.5)\n", "ylim(0,2.5)\n", "legend(loc=\"upper left\")\n", "xlabel(\"Beta0\")\n", "ylabel(\"Beta1\")\n", "\n", "subplot(122)\n", "plot(xVals,yVals,\"k.\",ms=\"1\",label=\"Data points\")\n", "plot([0,5],[b[1],b[1]+5b[2]],\"b\",label=\"SGD\")\n", "plot([0,5],[beta0,beta0+5*beta1],\"r\",label=\"Actual\")\n", "xlim(0,5)\n", "ylim(-5,15)\n", "legend(loc=\"upper left\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "--- \n", "## Deep neural networks\n", "\n", "See also the [Tensor Flow Playground](https://playground.tensorflow.org)\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loss(X, Y) = 2.294464f0 (tracked)\n", "loss(X, Y) = 1.2462949f0 (tracked)\n", "loss(X, Y) = 0.73402673f0 (tracked)\n", "loss(X, Y) = 0.5317502f0 (tracked)\n", "loss(X, Y) = 0.432176f0 (tracked)\n", "loss(X, Y) = 0.3762382f0 (tracked)\n", "loss(X, Y) = 0.3434717f0 (tracked)\n", "loss(X, Y) = 0.31975254f0 (tracked)\n", "loss(X, Y) = 0.301376f0 (tracked)\n", "loss(X, Y) = 0.28900892f0 (tracked)\n" ] }, { "data": { "text/plain": [ "0.9228" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Flux, Flux.Data.MNIST, Statistics\n", "using Flux: onehotbatch, onecold, crossentropy, throttle\n", "using Base.Iterators: repeated\n", "# using CuArrays\n", "\n", "# Classify MNIST digits with a simple multi-layer-perceptron\n", "\n", "imgs = MNIST.images()\n", "# Stack images into one large batch\n", "X = hcat(float.(reshape.(imgs, :))...) |> gpu\n", "\n", "labels = MNIST.labels()\n", "# One-hot-encode the labels\n", "Y = onehotbatch(labels, 0:9) |> gpu\n", "\n", "m = Chain(\n", " Dense(28^2, 32, relu),\n", " Dense(32, 10),\n", " softmax) |> gpu\n", "\n", "loss(x, y) = crossentropy(m(x), y)\n", "\n", "accuracy(x, y) = mean(onecold(m(x)) .== onecold(y))\n", "\n", "dataset = repeated((X, Y), 200)\n", "evalcb = () -> @show(loss(X, Y))\n", "opt = ADAM()\n", "\n", "Flux.train!(loss, params(m), dataset, opt, cb = throttle(evalcb, 10))\n", "\n", "accuracy(X, Y)\n", "\n", "# Test set accuracy\n", "tX = hcat(float.(reshape.(MNIST.images(:test), :))...) |> gpu\n", "tY = onehotbatch(MNIST.labels(:test), 0:9) |> gpu\n", "\n", "accuracy(tX, tY)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "" ], "text/plain": [ "28×28 Array{Gray{N0f8},2} with eltype ColorTypes.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": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "imgs[8479]" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Tracked 10-element Array{Float32,1}:\n", " 0.000105593346f0\n", " 0.00091172376f0 \n", " 0.0060080816f0 \n", " 0.000117262236f0\n", " 0.0013103485f0 \n", " 0.0002672387f0 \n", " 0.985465f0 \n", " 2.366626f-6 \n", " 0.0056401454f0 \n", " 0.00017217292f0 " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m(X[:,8479])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "---\n", "## Data compression\n", "\n", "[top](#top)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using PyPlot,Distributions, LinearAlgebra\n", "\n", "n,m = 100,100\n", "sig = 0.1\n", "pixel(i,j) = ( (i-50)^2+(j-50)^2 < 25^2 && (i-50)^2+(j-50)^2 > 10^2) + sig*rand(Normal())\n", "A = [pixel(i,j) for i in 1:n, j in 1:m]\n", "\n", "p = min(n,m)\n", "U,S,V = svd(A);\n", "svdApprox(k) = U[:,1:k]*diagm(0=>S[1:k])*V[:,1:k]'\n", "err = [norm(A-svdApprox(k)) for k in 1:p]\n", "plot(1:p,err);" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "┌ Warning: `getindex(f::Figure, x)` is deprecated, use `getproperty(f, x)` instead.\n", "│ caller = top-level scope at In[26]:4\n", "└ @ Core ./In[26]:4\n", "┌ Warning: `getindex(o::PyObject, s::Symbol)` is deprecated in favor of dot overloading (`getproperty`) so elements should now be accessed as e.g. `o.s` instead of `o[:s]`.\n", "│ caller = top-level scope at In[26]:5\n", "└ @ Core ./In[26]:5\n" ] } ], "source": [ "fig = figure(figsize=(20,20))\n", "d = 5\n", "for k in 1:d\n", " imm = fig[:add_subplot](d,1,k)\n", " imm[:imshow](svdApprox(k),cmap=\"Greys\")\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "--- \n", "\n", "---\n", "\n", "---\n", "\n", "[top](#top)" ] } ], "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 }