{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Entropic Regularization of Optimal Transport\n", "============================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_matlab/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{ \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n", "$\\newcommand{\\eqdef}{\\equiv}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tours exposes the general methodology of regularizing the\n", "optimal transport (OT) linear program using entropy. This allows to\n", "derive fast computation algorithm based on iterative projections\n", "according to a Kulback-Leiber divergence.\n", "$$\\DeclareMathOperator{\\KL}{KL}\n", "\\newcommand{\\KLdiv}[2]{\\KL\\pa{#1 | #2}}\n", "\\newcommand{\\KLproj}{P^{\\tiny\\KL}}\n", "\\def\\ones{\\mathbb{I}}$$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "using PyPlot\n", "using NtToolBox" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Entropic Regularization of Optimal Transport\n", "--------------------------------------------\n", "We consider two input histograms $p,q \\in \\Si_N$, where we denote the simplex in $\\RR^N$\n", "$$\\Si_{N} \\eqdef \\enscond{ p \\in (\\RR^+)^N }{ \\sum_i p_i = 1 }.$$\n", "We consider the following discrete regularized transport\n", "$$W_\\ga(p,q) \\eqdef \\umin{\\pi \\in \\Pi(p,q)} \\dotp{C}{\\pi} - \\ga E(\\pi).$$\n", "where the polytope of coupling is defined as\n", "$$\\Pi(p,q) \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N}}{ \\pi \\ones = p, \\pi^T \\ones = q },$$\n", "where $\\ones \\eqdef (1,\\ldots,1)^T \\in \\RR^N$,\n", "and for $\\pi \\in (\\RR^+)^{N \\times N}$, we define its entropy as\n", "$$E(\\pi) \\eqdef - \\sum_{i,j} \\pi_{i,j} ( \\log(\\pi_{i,j}) - 1).$$\n", "\n", "\n", "When $\\ga=0$ one recovers the classical (discrete) optimal transport.\n", "We refer to the monograph [Villani](#biblio) for more details about OT.\n", "The idea of regularizing transport to allows for faster computation is\n", "introduced in [Cuturi](#biblio).\n", "\n", "\n", "Here the matrix $C \\in (\\RR^+)^{N \\times N}$ defines the ground cost, i.e.\n", "$C_{i,j}$ is the cost of moving mass from a bin indexed by $i$ to a bin indexed by $j$.\n", "\n", "\n", "The regularized transportation problem can be re-written as a projection\n", "$$W_\\ga(p,q) = \\ga \\umin{\\pi \\in \\Pi(p,q)} \\KLdiv{\\pi}{\\xi}\n", "\t\\qwhereq\n", "\t\\xi_{i,j} = e^{ -\\frac{C_{i,j}}{\\ga} }$$\n", "of $\\xi$ according to the Kullback-Leibler divergence.\n", "The Kullback-Leibler divergence between $\\pi, \\xi \\in (\\RR^+)^P$ is\n", "$$\\KLdiv{\\pi}{\\xi} = \\sum_{i,j} \\pi_{i,j} \\pa{ \\log\\pa{ \\frac{\\pi_{i,j}}{\\xi_{i,j}} } - 1}.$$\n", "\n", "\n", "This interpretation of regularized transport as a KL projection and its numerical\n", "applications are detailed in [BenamouEtAl](#biblio).\n", "\n", "\n", "Given a convex set $\\Cc \\subset \\RR^N$, the projection according to the Kullback-Leiber divergence is defined as\n", "$$\\KLproj_\\Cc(\\xi) = \\uargmin{ \\pi \\in \\Cc } \\KLdiv{\\pi}{\\xi}.$$\n", "\n", "Iterative Bregman Projection Algorithm\n", "--------------------------------------\n", "Given affine constraint sets $(\\Cc_1,\\ldots,\\Cc_K)$, we aim at computing\n", "$$\\KLproj_\\Cc(\\xi) \\qwhereq \\Cc = \\Cc_1 \\cap \\ldots \\cap \\Cc_K.$$\n", "\n", "\n", "This can be achieved, starting by $\\pi_0=\\xi$, by iterating\n", "$$\\forall \\ell \\geq 0, \\quad \\pi_{\\ell+1} = \\KLproj_{\\Cc_\\ell}(\\pi_\\ell),$$\n", "where the index of the constraints should be understood modulo $K$,\n", "i.e. we set $\\Cc_{\\ell+K}=\\Cc_\\ell$.\n", "\n", "\n", "One can indeed show that $\\pi_\\ell \\rightarrow \\KLproj_\\Cc(\\bar \\pi)$.\n", "We refer to [BauschkeLewis](#biblio) for more details about this\n", "algorithm and its extension to compute the projection on the intersection of\n", "convex sets (Dikstra algorithm).\n", "\n", "Iterative Projection for Regularized Transport aka Sinkhorn's Algorithm\n", "-----------------------------------------------------------------------\n", "We can re-cast the regularized optimal transport problem within this\n", "framework by introducing\n", "$$\\Cc_1 \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N} }{\\pi \\ones = p}\n", "\\qandq\n", " \\Cc_2 \\eqdef \\enscond{\\pi \\in (\\RR^+)^{N \\times N} }{\\pi^T \\ones = q}.$$\n", "\n", "\n", "The KL projection on $\\Cc_1$ sets are easily computed by divisive\n", "normalization of rows. Indeed, denoting\n", "$\\pi = \\KLproj_{\\Cc_1}(\\bar \\pi)$, one has\n", "$$\\forall (i,j), \\quad\n", " \\pi_{i,j} = \\frac{ p_i \\bar\\pi_{i,j} }{ \\sum_{s} \\bar\\pi_{i,s} }$$\n", "and similarely for $\\KLproj_{\\Cc_1}(\\bar \\pi)$ by replacing rows by\n", "colums.\n", "\n", "\n", "A fundamental remark is that, if $\\bar\\pi = \\diag(a) \\xi \\diag(b)$ (a\n", "so-called diagonal scaling of the kernel $\\xi$), then one has\n", "$$\\KLproj_{\\Cc_1}(\\bar \\pi) = \\diag(\\tilde a) \\xi \\diag(b)\n", " \\qandq\n", " \\KLproj_{\\Cc_2}(\\bar \\pi) = \\diag(a) \\xi \\diag(\\tilde b)$$\n", " where the new scaling reads\n", " $$\\tilde a = \\frac{p}{\\xi(b)} \\qandq \\tilde b = \\frac{q}{\\xi^T(a)}$$\n", "where $\\frac{\\cdot}{\\cdot}$ is entry-wise division.\n", "\n", "\n", "This means that the iterates of Bregman iterative projections, starting\n", "with $a_0 \\eqdef \\ones$ always have the form\n", "$\\pi_\\ell = \\diag(a_\\ell) \\xi \\diag(b_\\ell)$\n", "and these diagonal scaling weights are updated as follow\n", "$$a_{\\ell+1} \\eqdef \\frac{p}{\\xi(b_\\ell)}\n", " \\qandq\n", " b_{\\ell+1} \\eqdef \\frac{q}{\\xi^T(a_{\\ell+1})}.$$\n", "This algorithm is in fact the well known Sinkhorn algorithm [Sinkhorn](#biblio).\n", "\n", "Transport Between Point Clouds\n", "------------------------------\n", "We first test the method for two input measures that are uniform measures\n", "(i.e. constant histograms) supported on two point clouds\n", "(that do not necessarily have the same size).\n", "\n", "\n", "We thus first load two points clouds $x=(x_i)_{i=1}^{N_1}, y=(y_i)_{i=1}^{N_2},$\n", "where $x_i, y_i \\in \\RR^2$.\n", "\n", "\n", "Number of points in each cloud." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = [300,200];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dimension of the clouds." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "d = 2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Point cloud $x$, of $N_1$ points inside a square." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "x = rand(2,N[1])-.5;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Point cloud $y$, of $N_2$ points inside an anulus." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "theta = 2*pi*rand(1,N[2])\n", "r = .8 + .2*rand(1,N[2])\n", "y = [cos(theta).*r; sin(theta).*r];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut for displaying point clouds." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "plotp = (x,col) -> scatter(x[1,:], x[2,:], s=200, edgecolors=\"k\", c=col, linewidths=2);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display of the two clouds." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,10))\n", "\n", "plotp(x, \"b\")\n", "plotp(y, \"r\")\n", "\n", "axis(\"off\")\n", "xlim(minimum(y[1,:])-.1,maximum(y[1,:])+.1)\n", "ylim(minimum(y[2,:])-.1,maximum(y[2,:])+.1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Cost matrix $C_{i,j} = \\norm{x_i-y_j}^2$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "x2 = sum(x.^2,1)\n", "y2 = sum(y.^2,1)\n", "C = repeat(y2,outer=(N[1],1)) + repeat(x2',outer=(1,N[2])) - 2*x'*y;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Target histograms, here uniform histograms." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "p = ones(N[1])/N[1]\n", "q = ones(N[2])/N[2];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma = .01;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Gibbs Kernel." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "xi = exp(-C/gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialization of $b_0=\\ones_{N_2}$ ($a_0$ does not need to be\n", "initialized)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "b = ones(N[2]);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One sinkhorn iterations." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "a = p./(xi*b)\n", "b = q./(xi'*a);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 1__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$\\norm{ \\pi \\ones - p }, \\norm{ \\pi^T \\ones - q }$\n", "(you need to think about how to compute these residuals from $(a,b)$ alone).\n", "isplay the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/optimaltransp_5_entropic/exo1.jl\");" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the final matrix." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Pi = (diagm(a)*xi)*diagm(b);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(5,5))\n", "imageplot(Pi)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Display the regularized transport solution for various values of $\\gamma$.\n", "For a too small value of $\\gamma$, what do you observe ?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/optimaltransp_5_entropic/exo2.jl\");" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the obtained optimal $\\pi$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Pi = (diagm(a)*xi)*diagm(b);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Keep only the highest entries of the coupling matrix, and use them to\n", "draw a map between the two clouds.\n", "First we draw \"strong\" connexions, i.e. linkds $(i,j)$ corresponding to\n", "large values of $\\pi_{i,j}$.\n", "We then draw weaker connexions." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,10))\n", "\n", "plotp(x, \"b\")\n", "plotp(y, \"r\")\n", "\n", "A = Pi .* (Pi .> minimum(1./Array(N))*.7)\n", "i,j = findn(A)\n", "plot([x[1,i],y[1,j]],[x[2,i],y[2,j]],\"k\",lw = 2)\n", "\n", "A = Pi .* (Pi .> minimum(1./Array(N))*.3)\n", "i,j = findn(A)\n", "plot([x[1,i],y[1,j]],[x[2,i],y[2,j]],\"k:\",lw = 1)\n", "\n", "axis(\"off\")\n", "xlim(minimum(y[1,:])-.1,maximum(y[1,:])+.1)\n", "ylim(minimum(y[2,:])-.1,maximum(y[2,:])+.1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Transport Between Histograms\n", "----------------------------\n", "We now consider a different setup, where the histogram values\n", "$p,q$ are not uniform, but the measures are defined on a uniform grid\n", "$x_i=y_i=i/N$. They are thue often refered to as \"histograms\".\n", "\n", "\n", "Size $N$ of the histograms." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 200;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use here a 1-D square Euclidean metric." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "t = collect(0:N-1)/N;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the histogram $p,q$ as translated Gaussians." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Gaussian = (t0,sigma) -> exp(-(t-t0).^2/(2*sigma.^2))\n", "normalize = p -> p/sum(p)\n", "\n", "sigma = .06;\n", "p = Gaussian(.25,sigma)\n", "q = Gaussian(.8,sigma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Add some minimal mass and normalize." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "vmin = .02;\n", "p = normalize( p+maximum(p)*vmin)\n", "q = normalize( q+maximum(q)*vmin);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the histograms." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize = (10,7))\n", "\n", "subplot(2, 1, 1)\n", "bar(t, p, width = 1/length(t), color = \"darkblue\")\n", "subplot(2, 1, 2)\n", "bar(t, q, width = 1/length(t), color = \"darkblue\");" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma = .03^2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The Gibbs kernel is a Gaussian convolution,\n", "$$\\xi_{i,j} = e^{ -(i/N-j/N)^2/\\gamma }.$$" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Y,X =meshgrid(t,t)\n", "xi = exp(-(X-Y).^2/gamma);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Initialization of $b_0=\\ones_{N}$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "b = ones(N);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One sinkhorn iteration." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "a = p./(xi*b)\n", "b = q./(xi'*a);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$\\norm{ \\pi \\ones - p }, \\norm{ \\pi^T \\ones - q }$. You need to think how to compute it from $(a,b)$.\n", "Display the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/optimaltransp_5_entropic/exo3.jl\");" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the coupling. Use a log domain plot to better vizualize it." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Pi = (diagm(a)*xi)*diagm(b);\n", "figure(figsize=(5,5))\n", "imageplot(log(Pi+1e-5))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One can compute an approximation of the transport plan\n", "between the two measure by computing the so-called barycentric projection map\n", "$$t_i \\in [0,1] \\longmapsto s_j \\eqdef \\frac{\\sum_{j} \\pi_{i,j} t_j }{ \\sum_{j} \\pi_{i,j} }\n", " = \\frac{ [a \\odot \\xi(b \\odot t)]_j }{ p_i }.$$\n", "where $\\odot$ and $\\frac{\\cdot}{\\cdot}$ are the enry-wise multiplication and division.\n", "\n", "\n", "This computation can thus be done using only multiplication with the\n", "kernel $\\xi$." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "s = xi*(b.*t).*a./p;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the transport map, super-imposed over the coupling." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(5,5))\n", "\n", "imageplot(log(Pi+1e-5))\n", "plot(s*N,t*N, \"r\", linewidth=3)\n", "xlim(0,N)\n", "ylim(N,0);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Wasserstein Barycenters\n", "-----------------------\n", "Instead of computing transport, we now turn to the problem of computing\n", "barycenter of measures. A barycenter $q$ solves\n", "$$\\umin{q} \\sum_{k=1}^K W_\\ga(p_k,q)$$\n", "where $\\la_k$ are positive weights with $\\sum_k \\la_k=1$. This\n", "follows the definition of barycenters proposed in\n", "[AguehCarlier](#biblio).\n", "\n", "\n", "With of the histograms." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "N = 70;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Load input histograms $(p_k)_{k=1}^K$." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "names = [\"disk\",\"twodisks\",\"letter-x\",\"letter-z\"]\n", "vmin = .05\n", "P = zeros(N,N,length(names))\n", "for i in 1:length(names)\n", " p = load_image(string(\"NtToolBox/src/data/\" , names[i] , \".png\"),N) \n", " p = normalize(rescale(p)+vmin)\n", " P[:,:,i] = p\n", "end\n", " \n", "K = length(names);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the input histograms." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(5,5))\n", "for i in 1:K\n", " imageplot(P[:,:,i], \"\",[2,2,i])\n", " end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In this specific case, the kernel $\\xi$ associated with the\n", "squared Euclidean norm is a convolution with a Gaussian filter\n", "$$\\xi_{i,j} = e^{ -\\norm{i/N-j/N}^2/\\gamma }$$\n", "where here $(i,j)$ are 2-D indexes.\n", "\n", "\n", "The multiplication against the kernel $\\xi(a_\\ell)$\n", "can now be computed efficiently, using fast convolution methods.\n", "This\n", "crucial points was exploited and generalized in [SolomonEtAl](#biblio)\n", "to design fast optimal transport algorithm.\n", "\n", "\n", "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "gamma = .04^2;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Define the $\\xi$ kernel.\n", "We use here the fact that the convolution is separable to implement it\n", "using only 1-D convolution, which further speeds up computations." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = 41 # width of the convolution kernel\n", "t = collect(linspace(-n/(2*N),n/(2*N),n))\n", "g = exp(-t.^2/gamma)'\n", "g2 = g*g' \n", "xi = x -> conv2(conv2(x, g)',g)'[Base.div(n,2)+1:Base.div(n,2)+size(x,1),Base.div(n,2)+1:Base.div(n,2)+size(x,2)];" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "xi2 = x -> g*x*g;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the application of the $\\xi$ kernel on one of the input histogram." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,5))\n", "imageplot(P[:,:,1],\"\",[1,2,1])\n", "imageplot(xi(P[:,:,1]),\"\",[1,2,2])" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,5))\n", "imageplot(P[:,:,1],\"\",[1,2,1])\n", "x= P[:,:,1]\n", "(n,m)= size(x)\n", "N = min(n,m);\n", "\n", "# std in pixel\n", "sigma = .05; \n", "\n", "xi = function(x)\n", " Y,X = meshgrid( collect(1:n)/N, collect(1:n)/N ); \n", " kx = exp(-(X-Y).^2/gamma);\n", " return kx*x*kx\n", "end\n", "\n", "imageplot(xi(P[:,:,1]),\"\",[1,2,2])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Weights for isobarycenter." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "lambd = ones(K)/K;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "It is shown in [BenamouEtAl](#biblio) that the problem of Barycenter computation\n", "boilds down to\n", "optimizing over couplings $(\\pi_k)_k$, and that this can be achieved\n", "using iterative Bregman projection that defines iterates $(\\pi_{k,\\ell})_k$.\n", "These iterates can be written using diagonal scalings\n", "$\\pi_{k,\\ell} \\eqdef \\diag(a_{k,\\ell}) \\xi \\diag(b_{k,\\ell}).$\n", "\n", "\n", "Initialize the scaling factors." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "b = ones(N,N,K)\n", "a = copy(b);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The first step of the Bregman projection method corresponds to the\n", "projection on the fixed marginals constraints $\\pi_k \\ones=p_k$. This\n", "is achieved by updating\n", "$$\\forall k=1,\\ldots,K, \\quad a_{k,\\ell+1} = \\frac{p_k}{ \\xi( b_{k,\\ell} ) }.$$" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "for k in 1:K\n", " a[:,:,k] = P[:,:,k]./xi(b[:,:,k])\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The second step of the Bregman projection method corresponds to the\n", "projection on the equal marginals constraints $\\forall k, \\pi_k^T \\ones=q$. This\n", "is achieved by first computing the target barycenter using a geometric means\n", "$$\\log(q_\\ell) \\eqdef \\sum_k \\lambda_k \\log( b_{k,\\ell} \\odot \\xi( a_{k,\\ell} ) ).$$" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = zeros(N,N)\n", "\n", "for k in 1:K\n", " q = q + lambd[k] * log(max(1e-19, b[:,:,k].*xi(a[:,:,k])))\n", "end \n", "q = exp(q);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "And then one can update the other maginals to be equal to this barycenter at step $\\ell$.\n", "$$\\forall k=1,\\ldots,K, \\quad b_{k,\\ell+1} \\eqdef \\frac{q_\\ell}{ \\xi(a_{k,\\ell+1}) }.$$" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "for k in 1:K\n", " b[:,:,k] = q./xi(a[:,:,k])\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 4__\n", "\n", "Implement the iterative algorithm to compute the iso-barycenter of the measures.\n", "Plot the decay of the error $\\sum_k \\norm{\\pi_k \\ones - p_k}$." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "deletable": true, "editable": true, "scrolled": false }, "outputs": [ { "data": { "image/png": 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vv5TP51OTJk0K/TUjI6WpU6UlS6Szz7a1o0elESOktm2ldeuKonMAAICi5bqg1qdPH2VlZWn6cetqZGRk6KWXXlKrVq1UvXr1P/2127WTvvlGGj5c8vls7auvpKZNpQcflH6fXQUAAHAF1wW1li1b6pprrtGoUaM0cuRIzZgxQ5deeql++OEH/bMI9oYqXVp64gnp88+lunVtLStLmjBBatxY+uSTv/wWAAAARcJ1QU2SXnnlFd11112aPXu2hg0bpuzsbC1YsEBt27Ytsvdo00Zas0Z66CEpPNzWtm61OxrcfLP0yy9F9lYAAAB/iiuDWkREhP7xj39o586dOnz4sL788kt17NixyN8nKkoaO1ZatcoGtxwvvig1aCC99ppkTJG/LQAAwGlxZVALtvPOkz77THruOSkuztZ+/lm6/nqpSxfp+++d7Q8AAIQmgtrv/H7p73+XNm6Urr46r/7hhzbITZliP8sGAAAQLAS1P6hWTZo7V3rnHSnnBtP0dOm+++ziuStXOtsfAAAIHQS1E+jZU9qwQbrzzrylPFatsttQ3X03m7wDAIDiR1A7ibg46amn7E4GjRrZ2rFjdvHc886TFixwtj8AAOBtBLXTcOGFUlKSNHmyvVNUkn78UerWTerXT9q929n+AACANxHUTlN4uDRypN1u6viVQt54wy7lMWOGvdoGAABQVAhqhXT22dJHH0mzZkkVK9rab79Jt90mXXKJvWsUAACgKBDU/gSfT7rhBhvKbrwxr/7559L550uPPGI3fQcAAPgrCGp/QcWK0ksvSYsW2SttkpSZKT36qA1sS5c62h4AACjhCGpF4LLLpLVrpQcekMLCbG3zZjsVOmiQ9OuvzvYHAABKJoJaEYmOliZMkJKTpVat8uozZ9qbDebMYd9QAABQOAS1Itaokf2s2jPPSGXK2NqePdK110pXXilt3+5oewAAoAQhqBWDUqWkO+6wNxv06pVXX7jQLpT7xBPsGwoAAE6NoFaMqleX5s2zR86+oYcPS/fck7eILgAAwIkQ1IKgVy+7b+iQIXn7hiYn203e2TcUAACcCEEtSOLipGnTpGXL2DcUAACcHoJakLVqZac8J01i31AAAHByBDUHhIdL999f8L6h9etL06ezbygAACCoOaqgfUP375cGD2bfUAAAQFBz3Kn2DR0zRjpyxLn+AACAcwhqLnH8vqF16thaZqY0dqwNbEuWONoeAABwAEHNZS67TPrmm8B9Q7dskdq3l265Rdq3z9H2AABAEBHUXChn39BVqwL3Df3Pf+y+obNns28oAAChgKDmYg0bSl98YfcNjYuztb177WfaLr3ULqILAAC8i6Dmcn6/3Td0wwbpqqvy6kuW2M+ujRolpaU51x8AACg+BLUSonp16a237A4GZ51la1lZ0uTJdmeD+fOd7Q8AABQ9gloJ07WrXSj3oYekiAhb++EHqWdPqUcPaft2R9sDAABFiKBWAkVH22U71q4N3Nng3Xelc8+121NlZDjXHwAAKBoEtRKsbl27s8GcOVJ8vK2lp9ulPc4/X/rf/5ztDwAA/DUEtRLO55P69pU2bZLuusvefCDZx5ddJvXvz0bvAACUVAQ1j4iLk6ZOlZKSAtdee/VVqV496emnpexs5/oDAACFR1DzmCZN7Npr06dLf/ubrR04IN15p9SypfTll872BwAATh9BzYP8fmnQIGnzZunmm/PqyclS69Z2K6q9e53rDwAAnB6CmodVqiS98IL0+edSo0Z59f/8x96IMG2aXYsNAAC4E0EtBLRta6+m/etfeVtR7d8vDR0qNW8uffaZs/0BAICCEdRCRFiYDWZbtkgDB+bVv/lGatfO3h26a5dz/QEAgPwIaiGmShU79bl8udSsWV495+7QKVOkzEzn+gMAAHkIaiGqVStpxQrp+eel8uVt7dAh6b777GK5ixc72x8AACCohbRSpaTBg+106ODBdvFcSdq40W5N1bev9OOPzvYIAEAoI6hBFSrYK2tffy1deGFe/c03pQYNpIkTpaNHnesPAIBQRVBDrubNpWXL7GfYKlWytcOHpdGjpYYNpYULne0PAIBQQ1BDAL/f3hW6ZYu9SzRn79Bt26SuXaWePaXvvnO2RwAAQgVBDQUqV86uu7ZqlXTxxXn1+fOlc8+VxoyR0tOd6w8AgFBAUMNJNW4sLVlil++Ij7e1o0elsWNtYHvnHckYZ3sEAMCrCGo4JZ9Puu46u3fovffaxXMlaft2qXdvOyW6ZYujLQIA4EkENZy2MmWkxx6zuxlcdlle/YMP7M0Go0bZtdgAAEDRIKih0Bo0kD7+2C7fUaOGrWVmSpMnS/XrS3PmMB0KAEBRIKjhT/H5pD597OK4o0dLERG2vnOndO219orb+vXO9ggAQElHUMNfEhMjjR9vQ1nXrnn1Tz6xW1Hdfbd04IBz/QEAUJIR1FAk6tSR3nvPLt9Ru7atZWdLU6dKdetKr7zCdCgAAIVFUEOR8fmk7t2lDRvs8h1RUba+Z480YIBdj231amd7BACgJCGoochFRUkPPWQ/v9a7d179iy/sNlVDhkj79jnXHwAAJYWrgtrLL78sv9+f7yhVqpT27t3rdHsopFq1pLfftst31K1ra8eOSc88I9WrJ82caR8DAICChTndwB/5fD6NGzdOtWrVCqiXK1fOmYbwl3XqJK1daz+vNm6clJYmpaZKgwZJ06dLTz8ttWzpdJcAALiP64KaJHXu3FnNmjVzug0UoYgIaeRI6frrpfvuk15/3da//lpq1Uq65RZp4kSpUiVn+wQAwE1cNfV5vEOHDukY82Kec8YZUmKiXb7jvPNszRg7DVq3rp0WzcpytkcAANzCdUHNGKP27dsrLi5OpUuXVs+ePbVt2zan20IRa99eWrXKTofGxdnab7/ZGw1atLA3HgAAEOpcFdRKly6tgQMH6tlnn9U777yjkSNHavHixWrbtq127tzpdHsoYuHh0l132c3eb7wxr75mjXTRRXZJj5QU5/oDAMBpPmOKZxlSY4wyMjJO69zIyMgTPvfFF1+oXbt2Gjx4sJ599tkTnpecnKzmzZsrKSmJz7eVUF98Ya+oHb/WWpky0iOPSHfeaYMdAABuEKzcUWxBbcmSJbr00ktP3YDPp40bN6puzvoNBWjTpo1SU1O1ZcuWE56TM2Dt2rVT2bJlA55LSEhQQkLC6TcPx2Rn2ztBR4+Wfv01r37uudK0aVKHDs71BgAITYmJiUpMTAyo7d+/X0uXLi25QW3Pnj368MMPT+vc3r17q0yZMid8vl+/flq8eLFSU1NPeA5X1LwlNVV64AF7k8HxP6F9+0pTpkg1ajjXGwAAwcodxbY8R5UqVTRgwIAi+VrfffedKrFuQ0ipWNFeWRs0yE6Hrlhh62+8YfcUfeghafhw6SSz5gAAlHiuupmgoCtm77//vpKSktSlSxcHOoLTLrhAWr7cXlmrWNHWDh+WRo2SGjWyux4AAOBVrlrwtk2bNmratKlatGihsmXLKikpSS+++KJq1qypUaNGOd0eHOL32wVxr7pKevhh6dln7dZTW7dKXbpIPXvaZT5q13a6UwAAiparrqhde+212rZtmyZNmqShQ4fqo48+0uDBg7VixQqmPqG//c3eUJCcbJfvyPHf/9qbDR59VEpPd64/AACKmquC2tixY5WUlKR9+/bpyJEj+v777zVt2jRCGgKcf760dKn0yitS1aq2duSIXcbj3HNtcCueW2QAAAguVwU14HT5fFL//nax3HvukcJ+n8Tfvl3q1Uu68ko7NQoAQElGUEOJFhdnl+tYsyZwjbWFC6WGDe0SH2lpzvUHAMBfQVCDJ5x7rrRokV2+44wzbC0jQ5o0SapfX3rzTaZDAQAlD0ENnuHzSddcI23aZK+kRUTY+o4ddqHcjh2lDRuc7REAgMIgqMFzYmKkCROkdevs8h05/vc/eyPCPfdIBw441x8AAKeLoAbPOuccacECexdorVq2lpUlPfGEVK+eNHs206EAAHcjqMHTfD6pRw875fnII1JUlK3v3i3dcIPUrp20erWjLQIAcEIENYSE6GhpzBgb2Hr1yqt//rnUvLndT/TXX53rDwCAghDUEFJq15bmzbPLd5xzjq0dOyY984xUt670wgv2MQAAbkBQQ0jq3Flau9Yu31G6tK2lpkq33iq1bi19/bWz/QEAIBHUEMIiI6X777fLefTrl1dfsUK68ELptttseAMAwCkENYS8GjWk11+XFi+2C+dK9m7QGTPsdOizz0rZ2c72CAAITQQ14HcdOtg7QJ94QipTxtZ+/VX6v/+TWrSQli1ztj8AQOghqAHHCQ+Xhg+Xtmyxy3fkWL1aattWuvFGu7QHAADBQFADClC1qjRrlvTZZ3Y3gxyzZtnp0KlTpcxM5/oDAIQGghpwEhddJK1caZfvKFfO1g4elO6+W2raVPrkE2f7AwB4G0ENOIWwMOmOO+x06K232t0OJGn9evu5tmuvtRu/AwBQ1AhqwGmqVMneCfrll9IFF+TV58yR6teX/vEP6ehR5/oDAHgPQQ0opJYtbVibMUOqUMHW0tLsmmyNG0sffuhsfwAA7yCoAX+C32+nQbdssct3+H//P2nLFrvrQe/e0vbtjrYIAPAAghrwF5QvLz39tJSUZJfvyPHOO1KDBtLYsVJ6unP9AQBKNoIaUASaNLFLecyaJVWpYmtHjkhjxkjnnSfNn293OwAAoDAIakAR8fnsIrlbttjlO0qVsvXvv5d69pS6dZO2bnW2RwBAyUJQA4pYXJz0+OPSmjXSpZfm1d9/X2rYUBo92t58AADAqRDUgGJy3nl2o/c5c6Tq1W0tI0OaONF+fm3uXKZDAQAnR1ADipHPJ/XtK23aZJfvCA+39Z9+kq65Rrr8cmnjRmd7BAC4F0ENCILYWGnSJGndOqlTp7z64sV27bV775UOHHCuPwCAOxHUgCCqW1dauNAu31Grlq1lZdnPtNWvL736KtOhAIA8BDUgyHw+exfohg12+Y7ISFtPSZH695cuucTeiAAAAEENcEh0tPTIIzaw9eiRV//sM6lZM+nOO6XffnOsPQCACxDUAIeddZb03/9KCxZIderY2rFjdseDunWl//zHPgYAhB6CGuASXbvamw0mTpRKl7a1n3+WbrlFat1aWrnS2f4AAMFHUANcJDJSGjXKLufRt29efcUKqWVLafBgKTXVuf4AAMFFUANcqEYNu1DuokV2cVzJ3g06fbqdDn3uOSk729keAQDFj6AGuNhll9k7QKdMsWuxSdKvv0p33CFdcIG0fLmz/QEAihdBDXC58HDpnnvsZu/9++fVV62S2rSRbrpJ2rPHsfYAAMWIoAaUEPHx0iuvSEuX2t0Mcrz8sp0O/de/7OK5AADvIKgBJczFF0tJSdK0aVK5crZ24IB0111S06bSp5862h4AoAgR1IASKCxMGjJE2rzZLt+RY9066dJLpYQEaedO5/oDABQNghpQglWuLM2cKX35pdSiRV799delevWkf/5Tyshwrj8AwF9DUAM84MILbVibPl2qUMHW0tKkkSOlRo