{ "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": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: Method definition ndgrid(AbstractArray{T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:3 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:3.\n", "WARNING: Method definition ndgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:6 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:6.\n", "WARNING: Method definition ndgrid_fill(Any, Any, Any, Any) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:13 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:13.\n", "WARNING: Method definition ndgrid(AbstractArray{#T<:Any, 1}...) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:19 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:19.\n", "WARNING: Method definition meshgrid(AbstractArray{T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:33 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:33.\n", "WARNING: Method definition meshgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:36 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:36.\n", "WARNING: Method definition meshgrid(AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}, AbstractArray{#T<:Any, 1}) in module NtToolBox at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:44 overwritten at /Users/gpeyre/.julia/v0.5/NtToolBox/src/ndgrid.jl:44.\n" ] } ], "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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ZlKfH6S0QmWTO5AAAAKUYcgAAgFIMOQAAQCmGHAAAoBTFAwAwxkbZxJw2IV9eXjbZ+fl5fOyLi4uun9lbPADTapQ1m9bhsDWb1vcoa3aS17EzOQAAQCmGHAAAoBRDDgAAUIohBwAAKEXxwDMbdmXnSd7YBZW5GjvjKF2tPF0p/erqqsnOzs6a7Pj4OD7OyclJk6UNz2lj89LSUpPNzs42mTVGNaOUDKT1ldbhsDWb1nf6HEifF+lzZZI5kwMAAJRiyAEAAEox5AAAAKUYcgAAgFIUDwDAGOu9Cnna2Jyufn56etpkwzYxf/v2rev+vRub5+barx2peEAZAZMircVRikHS+krrcNiaTfdPnwPp86L3s2ZSOJMDAACUYsgBAABKMeQAAAClGHIAAIBSFA8AwIRJm4F7Nzanq6d//fo1Ps7R0VHXbXd3d5tsdXW1yebn55tsZqb9f6viASZFbwnI9fV1k52dnTVZWl+963AwyOu7txhkkksGEmdyAACAUgw5AABAKYYcAACgFEMOAABQiuKBMZE2WVbbAAbjzmZnXlr63O/9+5Cusn5zc9Nk5+fnTTZsE/Ph4WGTpU3Q6erra2trTbawsNBks7OzTZaes/XJS3vqdZfWTVpfaR0OW7PpcdLxpOPu/d45Kd9PnckBAABKMeQAAAClGHIAAIBSDDkAAEApigcAYMI8V/HA58+fm+zg4KDJ9vb2mmxzc7PJVlZWmmx+fr7JZmba/8EqHuClpXV3d3fXZNfX1012dnbWZF++fGmytL7SOnzJ4oFJ4UwOAABQiiEHAAAoxZADAACUYsgBAABKUTwwxnqvcg08nk3MVJM2Et/e3jbZ5eVlk3379i3+zLTh+dOnT022u7vbZFtbW0321MUD1jE/ylOXDBwdHTXZ/v5+k6X1ldbhsDWb1nf6HEifF9U4kwMAAJRiyAEAAEox5AAAAKUYcgAAgFIUDwDAGEsboHs33PdulD49PY33Pzw8bLKPHz822evXr5ssFQ+srq422eLiYpPNzs42WSoj6C0ogL+T1ljamH9zc9NkFxcXTfb169cmSyUDHz58aLK0vtI6HLZm0/pOnwO9JrnwypkcAACgFEMOAABQiiEHAAAoxZADAACUonhgwqQNlZO8KQyeg43ITIPezdPp6ufpKumDQf8G6lQykLK1tbUmW15ebrK5ufbrSSojSLdTRsDfeep1cnx83GQHBwdNlkoG3r9/32RpfaV1OGzNpuNOz28avjs6kwMAAJRiyAEAAEox5AAAAKUYcgAAgFIUDxSgjAD+YoMx0yB9xvf+LUhXP7+6uoqPk66q/vnz5yZLhQIbGxtNtrq62mQrKytNtrCw0GSpeGBpaanJlBHwX09dMtC7HlKhwB9//NF1u/Tz0uMOW7Npffd+J6z23dGZHAAAoBRDDgAAUIohBwAAKMWQAwAAlKJ4AACmSO/G68FgMLi4uGiydPX1dJX2VEaQslRGkIoHUnlAooxgOj11ycDJyUmTpVKADx8+NNmff/7ZZKl4IK2btL7SOhy2ZtNznlbO5AAAAKUYcgAAgFIMOQAAQCmGHAAAoBTFA0X1XvkaJplNwvCX9Bnf+7cgXSV9MBgMrq+vm+zs7KzJDg8PmywVACwvLzfZ4uJik83Ozsbj+b/SJuv0XNKxzM/Pdz1ueg199jyf9H7tfQ/f3Nw0WSoZOD09bbJUMpDKA/797393Ze/fv2+ytG7S+krrcNia7f2uNw3fCZ3JAQAASjHkAAAApRhyAACAUgw5AABAKYoHpogyAiaZjb7weKOUEQwG/VeHPz4+brK0sX9hYaHJ5ub6voqkjdZpQ/bu7m6TbWxsNFkqQUjHl8oIZmba/xErKHic3kKB3nKJ9F64uLhosvReTSUDHz58aLJUKPCvf/2ryf7zn/802f7+ftexpPWV1uFjvr9N63c9Z3IAAIBSDDkAAEAphhwAAKAUQw4AAFCK4oEpp4yAcWSzLjyvYZ/7adN3uor8+fl5k6XN+SlL0kbrq6urJktXh0/Hsre312RbW1tNtrq62mSpjCCVKoxSUJBMwudg7/eFUQoF0vstlQyk98LXr1+b7ODgoMnev3/fZH/++WeTpeKBVDKQft7R0VGTpfdqer7ptfJd7f/nTA4AAFCKIQcAACjFkAMAAJRiyAEAAEpRPECjd7OjTW881iRspIXq0mf3sLWZbtt7tfm0ETxJm6p7r15/enra9bjpdm/evGmy7e3tJktlBCsrK02WCgrm5tqvWamgIL3+vdlzSe+F3iy9Z1K5RPq9p8356XecNvbv7+832YcPH5rsjz/+6MpSoUB6jHQs6ZjT802v1WO+b/lu9hdncgAAgFIMOQAAQCmGHAAAoBRDDgAAUIriAb5b2gBpwxv/pWQAJsewz+7ez/m0Wfrq6qrrvql4IF31/fLysslSocDx8XGTpSvfpyyVEbx+/brJNjY2miwVFCwuLjZZKihIZQS9BQXPpff33ltMkd4faXN++n1++fKlyXpLBlJ5QG+hwOHhYdfxpbKEpy4Z8H3r/+dMDgAAUIohBwAAKMWQAwAAlGLIAQAASlE8wJPq3RRpw9zkUigA0yN9VqfPgFQekO7bWzxwe3vbZGmjetrgncoIUslA2rz++fPnJtvb22uy7e3tJtva2mqytbW1JltZWWmyVEYwN9d+RZuZaf83/SM+k0f5PaUN9qP8no6Ojprs4OCgyT59+tRkHz9+bLJUKJB+7+lYUjFCKsRIxRlKBp6fMzkAAEAphhwAAKAUQw4AAFCKIQcAAChF8QAvQkHB+FEoAPToLSNIt+vdfP3Um9zTVel7N7Tv7u422c7OTpOlMoLNzc0mW19fb7Ll5eUmm5+fb7JURvBcxQPp9U8b7C8uLprs5OSkyb59+9Zk6XdyeHjYZKkoIGXpvqlQIJUgpOeR3m/pdekt4kh873k6zuQAAAClGHIAAIBSDDkAAEAphhwAAKAUxQOMtVE2VE7j5j3lAcBLGKWMIG3SThvan6OM4MuXL022v7/fZFtbW13ZxsZGV7aystJkCwsLTTZuxQOjvNYpS6UAvVkqMkiFApeXl012dXXVZOn59hZnKBkYD87kAAAApRhyAACAUgw5AABAKYYcAACgFEMOAABQinY1ytI0BvByRmlc681S41pqwEotYKllK7VxHR0dNVlqQ1tfX2+ytbW1JltdXW2ypaWlJkvtarOzs032XEZ5Xc/OzposvdYnJydNltraUpYeNx1fb2taem+N0oamSe35OZMDAACUYsgBAABKMeQAAAClGHIAAIBSXj2M4U4oG8YBXs4Y/lkYC2nTd8rS3zB/1x5nlNcr3Xdmpv2fbvrdzc21fUzz8/Nd2eLiYpOlQoF0u96Sgd7nNqreTfe9ZQRXV1dNlooC0u1ubm66MoUCk6G3VCT97lL2d5zJAQAASjHkAAAApRhyAACAUgw5AABAKe0OOwCAF5Q2IveWEaT7ps3mKUsbm9Mm97TZ/+Liosl6yw3S7dJjvGSBRe/rml7D3lKAdLve313KEiUD08OZHAAAoBRDDgAAUIohBwAAKMWQAwAAlKJ4AAAYe72bvtPm/N77ps3waUN7eoy0aT7drrdQoLdk4EeUEfS+Xr1Xr0+vYe99e7NRKBSoyZkcAACgFEMOAABQiiEHAAAoxZADAACUongAAChjlIKC3p83ymOkcoMfUR7wUkYpLXhqCgWmmzM5AABAKYYcAACgFEMOAABQiiEHAAAoRfEAADB1RtmUPkppwVMfS3VeG76XMzkAAEAphhwAAKAUQw4AAFCKIQcAAChF8QAAwCPYDA/jz5kcAACgFEMOAABQiiEHAAAoxZADAACUongAAL5T2oD+6tWrFzgSgMn0o4o8nMkBAABKMeQAAAClGHIAAIBSDDkAAEApigcA4An9qE20AJPuOT8fnckBAABKMeQAAAClGHIAAIBSDDkAAEApigcAoEPaMNu7iTbd7tWrVyMfE8C4GuXz8SkKCpzJAQAASjHkAAAApRhyAACAUgw5AABAKYoHAKBD2gh7f3/fZAoFAPopHgAAAOhgyAEAAEox5AAAAKUYcgAAgFJePTzFzh4AAIAx4UwOAABQiiEHAAAoxZADAACUYsgBAABKMeQAAAClGHIAAIBSDDkAAEAphhwAAKAUQw4AAFCKIQcAACjFkAMAAJRiyAEAAEox5AAAAKUYcgAAgFIMOQAAQCmGHAAAoBRDDgAAUIohBwAAKMWQAwAAlGLIAQAASjHkAAAApRhyAACAUgw5AABAKYYcAACgFEMOAABQiiEHAAAoxZADAACUYsgBAABKMeQAAAClGHIAAIBSDDkAAEAphhwAAKAUQw4AAFDK/wAJljmBG8kf0gAAAABJRU5ErkJggg==", "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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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "include(\"NtSolutions/optimaltransp_5_entropic/exo4.jl\");" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "0.0016" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the barycenter." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false, "deletable": true, "editable": true, "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": { "deletable": true, "editable": true }, "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": 53, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", 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Villani, (2009). Optimal transport: old and new, volume 338. Springer Verlag.\n", "* [Cuturi] M. Cuturi, (2013). Sinkhorn distances: Lightspeed computation of optimal transport. In Burges, C. J. C., Bottou, L., Ghahramani, Z., and Weinberger, K. Q., editors, Proc. NIPS, pages 2292-2300.\n", "* [AguehCarlier] M. Agueh, and G Carlier, (2011). Barycenters in the Wasserstein space. SIAM J. on Mathematical Analysis, 43(2):904-924.\n", "* [CuturiDoucet] M. Cuturi and A. Doucet (2014). Fast computation of wasserstein barycenters. In Proc. ICML.\n", "* [BauschkeLewis] H. H. Bauschke and A. S. Lewis. Dykstra's algorithm with Bregman projections: a convergence proof. Optimization, 48(4):409-427, 2000.\n", "* [Sinkhorn] R. Sinkhorn. A relationship between arbitrary positive matrices and doubly stochastic matrices. Ann. Math. Statist., 35:876-879, 1964.\n", "* [SolomonEtAl] J. Solomon, F. de Goes, G. Peyr , M. Cuturi, A. Butscher, A. Nguyen, T. Du, and L. Guibas. 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