{ "cells": [ { "cell_type": "markdown", "metadata": {}, "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": {}, "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": 43, "metadata": {}, "outputs": [], "source": [ "using PyPlot\n", "using NtToolBox" ] }, { "cell_type": "markdown", "metadata": {}, "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": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = [300,200];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dimension of the clouds." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ "d = 2;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Point cloud $x$, of $N_1$ points inside a square." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = rand(2,N[1])-.5;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Point cloud $y$, of $N_2$ points inside an anulus." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": 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": {}, "source": [ "Shortcut for displaying point clouds." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plotp = (x,col) -> scatter(x[1,:], x[2,:], s=200, edgecolors=\"k\", c=col, linewidths=2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display of the two clouds." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "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": {}, "source": [ "Cost matrix $C_{i,j} = \\norm{x_i-y_j}^2$." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": 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": {}, "source": [ "Target histograms, here uniform histograms." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true }, "outputs": [], "source": [ "p = ones(N[1])/N[1]\n", "q = ones(N[2])/N[2];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gamma = .01;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gibbs Kernel." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xi = exp(-C/gamma);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialization of $b_0=\\ones_{N_2}$ ($a_0$ does not need to be\n", "initialized)." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "b = ones(N[2]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One sinkhorn iterations." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = p./(xi*b)\n", "b = q./(xi'*a);" ] }, { "cell_type": "markdown", "metadata": {}, "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": 56, "metadata": {}, "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": 57, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the final matrix." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Pi = (diagm(a)*xi)*diagm(b);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "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": {}, "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": 60, "metadata": {}, "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": 61, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the obtained optimal $\\pi$." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Pi = (diagm(a)*xi)*diagm(b);" ] }, { "cell_type": "markdown", "metadata": {}, "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": 63, "metadata": {}, "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": {}, "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": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 200;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use here a 1-D square Euclidean metric." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t = collect(0:N-1)/N;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the histogram $p,q$ as translated Gaussians." ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": 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": {}, "source": [ "Add some minimal mass and normalize." ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": true }, "outputs": [], "source": [ "vmin = .02;\n", "p = normalize( p+maximum(p)*vmin)\n", "q = normalize( q+maximum(q)*vmin);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the histograms." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "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": {}, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gamma = .03^2;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Gibbs kernel is a Gaussian convolution,\n", "$$ \\xi_{i,j} = e^{ -(i/N-j/N)^2/\\gamma }. $$" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Y,X =meshgrid(t,t)\n", "xi = exp(-(X-Y).^2/gamma);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initialization of $b_0=\\ones_{N}$." ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": true }, "outputs": [], "source": [ "b = ones(N);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One sinkhorn iteration." ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": true }, "outputs": [], "source": [ "a = p./(xi*b)\n", "b = q./(xi'*a);" ] }, { "cell_type": "markdown", "metadata": {}, "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": 73, "metadata": {}, "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": 74, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the coupling. Use a log domain plot to better vizualize it." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "image/png": 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HgzGfbyW9fSLhAdAFCQ9gRE166du3b692DXluXu7QkuPx8fEqBb579y4iIj5+/BgR90mv9uFlkssxv8f3798fPD9c3blvKU/CA6ALEh7ABs+Z9LY50Xw41hPTDw4O1lZuZtL78OFDRNyvwqwJL2t3ef05fv369cHPr6+vJTwAWCIJD2CGl6zptZJUPp87rWRN7+Dg4EE9b/iarOFlTa+V8DLR/f333xER8eXLlwePLy4u9u6sPBMewBaeMvG1bmm2PmPqFmdErE18OSmen59HxP3El7c4WxPe58+fIyLir7/+Wv08J8994ZYmAF2Q8AAeYZukl8lubsJrfVaOp6enD1Le8L0z4eUtzkx6uZjll19+iYiI3377LSLuE14mu//+978REfHnn3++aNP9W5DwAOiChAfwBGNJb+5ClrnJrya829vbte3HUj6ui1nev38fEfdJ79dff42I+4T3+++/R8R98vvPf/6z+h4SHgAsiIQH8AzGkl5u25UJbtg4Phyr+vzY0UTZMpBJL987X5tJr9b0Munl6s1Pnz5FxH2yy+R3fn6+es99aU+Q8ADogoQH8Izu7u6ah8immuBq4ptT06t1vWFT+lBrC7JMepnwcvVmjh8/flz97r7040l4AHRBwgN4Zq1DZFNNcpmk6jFAc5LfcOXm2HuNHR4bsb7ZdCa9rOF9/PhxtdIzd2lZOgkPgC5IeAAvpJX0sr9tqpY39fzwM4a7sESs9+fVpJerNltJ78OHD2t1waX340l4AHRBwgN4YbXO1kp6mb5q395YXa7Vq9fqz0t1J5ZMeHXPzU+fPq3eY19IeAB0QcIDeCV1x5Jc/djaiSVTWF29eXh4ONmzV8/Oa/XnZZ2u9ue9f/9+VedTwwOABZHwAF7Z3KRXE16msqOjo7XUV2Uay5SWv5vPt/rzspZ3fn6+lvCWTsIDoAsSHsAbybSVe1Vm0ssz6mqyy8R3fHzc3J2l1gFrf16rljd2fl7+Od+znu6+NBIeAF2Q8ADeSF31uE3SG9bzhq+pCa9+Via5WsvL54erNtXwAGCBJDyAN1Z3Sbm6uoqI9qrNk5OTtURWH7eSXuuE9Jr0Tk9Pm7u1LNV+fAsAmCDhAeyIVtL78eNHRDys4WWSq2MmtFaNr56Qnisva1/eycnJ3iU8Ex7Ajpma+L58+bKajHLiqo/rBNhqV6i3PIe3T1tHDS3VfkzbADBBwgPYUa0tyA4PDx8sLom4bxjPsSa+eqsz5eP8rOHilboAZun241sAwAQJD2DHZb0tF5hcXFysDo/9/PlzRNwnuzzmp5X46nFB+Xxtgh+myFb9b2kkPAC6IOEB7Li6avP6+jp+/vwZERFfv36NiPWEV8f8edblsnbX2jbs8PBwrbVh6SQ8ALog4QEsxDDpZW/e9+/fI+K+FpeJbniQ63CsSa9uWzZcrVmb1pduP74FAEyQ8AAW5u7ubrVi8/LyMiJitWozk14muvfv3z8Ya9KrxwUNe/9qwrNKEwAWQMIDWJi7u7sHKzYj7ndhyZpeHh775cuXiIj48OFDRKwnvUyEmd6GCa8eKrt0+/EtAGCChAewQFMnKmTCy2T38ePHiIj49OlTRNwnwazlZb1uWJ+rB9Au3X58CwCYIOEBLFjdZzNXbWbSy51YMvHlmEkva3q1L+/u7m7156ldWZZCwgOgCxIewIKN7bMZEau9NrM/L5Ne1u5yzNfVvryI9f67pZPwAOiChAewB6Zqea2klwkv+/KGu6nkn9XwAGBBJDyAPdCq5dUdWFo1vOzjG/bj1RqehAcACyDhAeyRmvSylpdJLpNd1vYyAebrsh8v4j7RDVduLtl+fAsAImL61mZOdDnWW5r5exrPAWChJDyAPdRqU8hEl2Mmv0x4+fqIkPAAYIkkPIA91Krl1aSXjzclvH05CHbZVw8AM0l4AHsoE16rlpe1u1rDy0R4cHCwSnTZlqCGBwALIOEB7LGa8DLJZdLLMWt8+brj4+PV6sxMeGp4ALAAEh7AHqurNacSXr4uIpoJb3iE0JJIeAB0QcID6MDUas2xhFd3WlHDA4AFkPAA9lit4dXVmnWcU8NbqmVfPQDMJOEBdKTurZnJblMNLxNePTXBKk0A2EESHkAHWqcnzEl4JycnEXGf8JZKwgOgCxIeQEda5+ONnYdXV2ku/eRzCQ+ALkh4AB1onY+XSW/OKs2ln4sn4QHQBQkPoCNTCW9Yw9u3hGfCA+hQqz0hJ7y7u7u1zaOXPuG5pQlAFyQ8gI5MNaAPb2lmkqu3NJe6ifQyrxoAtiThAXQok96mGl4r4anhAcAOk/AAOtKq4dW2hNvb2+YqzXx+accESXgAdEHCA+jQVAP6sIbXSnhLs8yrBoAtSXgAHau1vE2rNJd+EKyEB0AXJDyADtUaXvbh5Xh7eztZw7NKEwB2kIQH0KFWP96whpdqwlPDA4AdJuEBdKx1asKwhpc1u7pKc2l7akp4AHRBwgPoWD01IWt4w3Pxag1vqacmSHgAdEHCA+hQXaVZ+/Hy+Yj1k8/V8ABgh0l4AB1TwwOAPSPhAXSstafmzc3N6mfZh1cT3tLOxVvW1QLAI0l4AB2rCS/H4SrNVsLLGt5STk0w4QGwmuguLy9Xj3MCq8cE5RZjbmkCwA6S8AA6tumYIItWAGCBJDwA1hLe9fX12iKU1kGwS1m0IuEB0AUJD4DRhJfPZa2u1vIy4S2FhAdAFyQ8gI7NWaWZNbrsv8txaccESXgAdEHCA2DtmKCrq6sH24tF3NfwJDwA2GESHgCjB8Fmwqt7adZ+PAkPAHaIhAfA6EGwtYZXT0tQwwOAHSThATBaw8u0l+oqzaWdmrCMqwSAJ5LwAJhVw8taXT0XL5/f9VMTJDwAuiDhAbCSCe/6+nr150xstf9ODQ8AdpCEB8DoqQmtVZqZ9E5PTx88VsMDgB0g4QGwMlylWWt4dU/NpdXwTHgArIzd0szncmLLiW5pW4wtY1oGgCeS8AAYXbSS24ylVuP5Uo4JkvAA6IKEB8BKJrzhopVaw1vqMUESHgBdkPAAWBkeE5Q1vFbCU8MDgB0k4QGwMrZKsx4TNHUQ7K5uMSbhAdAFCQ+AlU01vFRreJn0dn2Lsd2+OgB4JhIeACtzEl7dU1MNDwB2iIQHwJrr6+u4urqKiFg7CLZVw8vnd5WEB0AXJDwAVubU8FKt4e36npoSHgBdkPAAWMmEd3NzM7uGJ+EBwA6R8ABYM0x4WcvL9FdPPj89PY0ICQ8AdoKEB8Ca29vbtYQ3dfL5ru+4IuEB0AUJD4CV4SrNTHa5SrPW8FoJb1dreCY8ANYMb2nmhJe3NHOia7Un7OoxQbt5VQDwzCQ8ANZsWrRSG83zlmarPcGiFQB4RRIeAGvu7u5Wye7y8jIipg+CrccE7driFQkPgC5IeACsub29XSW7ukozTR0EK+EBwBuQ8ABYM6zh1X68XHWZNbzaeL6rDegSHgBdkPAAWHN3d7dKdHWLsVS3GMs+vF3dRFrCA6ALEh4Aa7ap4dVVmru6p+ZuXQ0AvBAJD4BRUwmvdUxQjmp4APAGJDwA1gxXabZOTagJr/bh7dqOKxIeAF2Q8AAYlQkv99TMhFdXadYanoQHAG9IwgNgVNbqMtnVHVcywdWEd3Z29uD5THhvvVpTwgOgCxIeAGvGVmlOnXzequXtyo4ru3EVAPDCJDwARmWSqzuttBJeTXb52CpNAHhFEh4Ao3I1Zdbupk5NqDW8uorzrVdpmvAAGFXbEuoWY3UT6byVmQfB5rgrDehuaQLQBQkPgFGZ4LZNePWYIAkPAF6RhAfAqJrwcvFKqz2hdRBsbUB/q8UrEh4AXZDwABjVquHlmAmvJrhMdrlKc1e2GJPwAOiChAfARnUT6akaXo6Z8DLxqeEBwCuQ8AAYlQmsJrzaj9eq4e1aP56EB0AXJDwANsqEVzeRrjW4uol0reHl8/m6rAG+Vi1PwgOgCxIeAKMyedWDYGsNL2Vtrtbuaj+eGh4AvCAJD4CNasKre2rWUxNae2q+dT+ehAdAFyQ8ADaaquHlz2vCq+fj5eO36seT8ADogoQHwEaPPTUhH5+dnUXE/WrNmvAODg5epY4n4QHQBQkPgI1qwru4uHjwOFdr1p1UWqs0axLM339pEh4AXZDwANhoqoZXE1qrH691Avpr1fBMeABs1DomqNWAXhet5ETX2kz6tdoT3NIEoAsSHgCztI4JmmpAr7c0xxLea2wzJuEB0AUJD4BZag2vJrz8ed1CrCa8scUrr3EYrIQHQBckPAA2qgfBZg0vx0x4+bq5qzWHSfA1ms8lPAC6IOEBMEttQK9Jr9bwasLbtFpzuJH08LOek4QHQBckPABmqQfB5ibSdbVmJrjaj7dpx5VMgy+5WlPCA6ALEh4As7RqeHUT6daOK/VA2BxPTk5WafElSXgAdEHCA2ArdU/NmvQy4WVdrtWPNzwYth4eW3v6noOEB0AXJDwAZqnn4rV2XKkJr7Wn5rt371aPM/3VlCjhAcCWJDwAtlJPTWj149UTzTedj1d3Z3mJnVckPAC6IOEBMEs9NSETXdbwMullAszXZ0qre2oO+/Ey7dX3yM96DhIeAF2Q8ADYSia3Vg0vx0xwmfBa/XhnZ2er1FdXaz7nHpsSHgBdkPAA2ErdUzMTXu3HyzHTW6a1ukrz9PR0bfeVesbeczDhAbCV1ibS9dZmvQ1ZG9GHm0lnE/r3798f/Kw2sz+FW5oAdEHCA2ArrS3GMuHlmOks01qqB8KenZ2tFrjUW5s1LT4l6Ul4AHRBwgPgUVoN6HWLsTnHBWXCy1rez58/H7ymNrM/hoQHQBckPAC20tpiLFNZbVPI9JbGthob1vOGY21PkPAAYIKEB8CjzO3Hy7EeFzRsRK/JLse64vMpjegSHgBdkPAAeJTWFmO1lnd+fh4R9+msrtY8Ojp6sM1YxP1qTQkPALYk4QHwKHN3XMkaXqa3seOCcsVm7cPLx7W37zEkPAC6IOEB8Chz+/FyzJWXmezSsIaXe2jWZJejGh4ATJDwAHiSmvDqas2s7eVYz8U7ODhYPZcpsCY7NTwAmEnCA+BJ5vbj1dWaw1recF/NiPWkpw8PAGaS8AB4klY/Xia8WsvLFDdMeGNn5EXcJz0JDwBmkvAAeJJWP16rlldT2/Hx8Wr3lVy5WWt5+d7OwwOACRIeAM8iU1hrtWaOmdqyXnd4eLiW8HLM12ayk/AAYIKEB8CzqKs1Wwkv98nMlZhHR0ertJdJL2t49b3z549hwgPgWeWEVzeTbi1eOT4+XjsUNsc68dWNp7fhliYAXZDwAHgWdWFJLl5pNaJnwjs5OVktUskEVxextBLfNiQ8ALog4QHwrLI9YWqrsfPz84j4p9aXyS0Xr7QSn7YEAJgg4QHwIqa2Gvvx40dE/FPLyxaFWqOrjehPaUuQ8ADogoQHwLOqm0m3ann5+OLi4sGKzYj7pvRMdFnby/ExJDwAuiDhAfAi6lZjWcurNb3Ly8tV2sttxzIdTu28sg0JD4AuLDbhPaUXA4D+SHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdMGEB0AXTHgAdOH/L2uoG5+LkIsAAAAASUVORK5CYII=", "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": {}, "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": 76, "metadata": { "collapsed": true }, "outputs": [], "source": [ "s = xi*(b.*t).*a./p;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the transport map, super-imposed over the coupling." ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "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": {}, "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": 78, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 70;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load input histograms $ (p_k)_{k=1}^K $." ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "collapsed": 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": {}, "source": [ "Display the input histograms." ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "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": {}, "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": 123, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gamma = .04^2;" ] }, { "cell_type": "markdown", "metadata": {}, "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": 82, "metadata": { "collapsed": 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": 95, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xi2 = x -> g*x*g;" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the application of the $\\xi$ kernel on one of the input histogram." ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "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": 139, "metadata": {}, "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": {}, "source": [ "Weights for isobarycenter." ] }, { "cell_type": "code", "execution_count": 125, "metadata": { "collapsed": true }, "outputs": [], "source": [ "lambd = ones(K)/K;" ] }, { "cell_type": "markdown", "metadata": {}, "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": 126, "metadata": { "collapsed": true }, "outputs": [], "source": [ "b = ones(N,N,K)\n", "a = copy(b);" ] }, { "cell_type": "markdown", "metadata": {}, "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": 127, "metadata": { "collapsed": true }, "outputs": [], "source": [ "for k in 1:K\n", " a[:,:,k] = P[:,:,k]./xi(b[:,:,k])\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "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": 128, "metadata": { "collapsed": 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": {}, "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": 129, "metadata": { "collapsed": true }, "outputs": [], "source": [ "for k in 1:K\n", " b[:,:,k] = q./xi(a[:,:,k])\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "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": 140, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/optimaltransp_5_entropic/exo4.jl\");" ] }, { "cell_type": "code", "execution_count": 133, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0016" ] }, "execution_count": 133, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma" ] }, { "cell_type": "code", "execution_count": 131, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the barycenter." ] }, { "cell_type": "code", "execution_count": 141, "metadata": { "scrolled": false }, "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(q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercise 5__\n", "\n", "Compute barycenters for varying weights $\\la$ corresponding to\n", "a bilinear interpolation inside a square." ] }, { "cell_type": "code", "execution_count": 142, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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