{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Optimal Transport with Linear Programming\n", "=========================================\n", "\n", "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) 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", "$\\newcommand{\\Om}{\\Omega}$" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This numerical tours details how to solve the discrete optimal transport\n", "problem (in the case of measures that are sums of Diracs) using linear\n", "programming." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "deletable": true, "editable": true, "scrolled": true }, "outputs": [], "source": [ "using PyPlot\n", "using NtToolBox" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Optimal Transport of Discrete Distribution\n", "------------------------------------------\n", "We consider two dicretes distributions\n", "$$ \\forall k=0,1, \\quad \\mu_k = \\sum_{i=1}^{n_k} p_{k,i} \\de_{x_{k,i}} $$\n", "where $n_0,n_1$ are the number of points, $\\de_x$ is the Dirac at\n", "location $x \\in \\RR^d$, and $ X_k = ( x_{k,i} )_{i=1}^{n_k} \\subset \\RR^d$ for $k=0,1$\n", "are two point clouds.\n", "\n", "\n", "We define the set of couplings between $\\mu_0,\\mu_1$ as\n", "\n", "$$ \\Pp = \\enscond{ (\\ga_{i,j})_{i,j} \\in (\\RR^+)^{n_0 \\times n_1} }{\n", " \\forall i, \\sum_j \\ga_{i,j} = p_{0,i}, \\:\n", " \\forall j, \\sum_i \\ga_{i,j} = p_{1,j} } $$\n", "\n", "\n", "The Kantorovitch formulation of the optimal transport reads\n", "\n", "$$ \\ga^\\star \\in \\uargmin{\\ga \\in \\Pp} \\sum_{i,j} \\ga_{i,j} C_{i,j} $$\n", "where $C_{i,j} \\geq 0$ is the cost of moving some mass from $x_{0,i}$\n", "to $x_{1,j}$.\n", "\n", "\n", "The optimal coupling $\\ga^\\star$ can be shown to be a sparse matrix\n", "with less than $n_0+n_1-1$ non zero entries. An entry $\\ga_{i,j}^\\star \\neq 0$\n", "should be understood as a link between $x_{0,i}$\n", "and $x_{1,j}$ where an amount of mass equal to $\\ga_{i,j}^\\star$ is transfered.\n", "\n", "\n", "In the following, we concentrate on the $L^2$ Wasserstein distance.\n", "$$ C_{i,j}=\\norm{x_{0,i}-x_{1,j}}^2. $$\n", "\n", "\n", "The $L^2$ Wasserstein distance is then defined as\n", "$$ W_2(\\mu_0,\\mu_1)^2 = \\sum_{i,j} \\ga_{i,j}^\\star C_{i,j}. $$\n", "\n", "\n", "The coupling constraint\n", "$$\n", " \\forall i, \\sum_j \\ga_{i,j} = p_{0,i}, \\:\n", " \\forall j, \\sum_i \\ga_{i,j} = p_{1,j}\n", "$$\n", "can be expressed in matrix form as\n", "$$ \\Sigma(n_0,n_1) \\ga = [p_0;p_1] $$\n", "where $ \\Sigma(n_0,n_1) \\in \\RR^{ (n_0+n_1) \\times (n_0 n_1) } $." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Cols = (n0,n1) -> sparse(vec(repeat(1:n1, outer=(1,n0))'), vec(reshape(collect(1:n0*n1),n0,n1) ), Int.(ones(n0*n1)) );\n", "\n", "Rows = (n0,n1) -> sparse( vec(repeat(1:n0, outer=(1,n1))'), vec(reshape(collect(1:n0*n1),n0,n1)' ), Int.(ones(n0*n1) ));\n", "Sigma = (n0,n1) -> [Rows(n0,n1); Cols(n0,n1)];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We use a simplex algorithm to compute the optimal transport coupling\n", "$\\ga^\\star$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "deletable": true, "editable": true, "scrolled": false }, "outputs": [], "source": [ "maxit = 1e4\n", "tol = 1e-9\n", "otransp = (C,p0,p1) -> reshape(perform_linprog(Array(Sigma(length(p0),length(p1))),[vec(p0);vec(p1)], C, maxit, tol), length(p0), length(p1));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dimensions $n_0, n_1$ of the clouds." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n0 = 60\n", "n1 = 80;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute a first point cloud $X_0$ that is Gaussian, and a second point cloud $X_1$ that is Gaussian mixture." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "gauss = (q,a,c) -> a*randn(2, q) + repeat(c', outer=(1,q))\n", "X0 = randn(2,n0)*.3\n", "X1 = [gauss(Base.div(n1,2),.5, [0 1.6]) gauss(Base.div(n1,4),.3, [-1 -1]) gauss(Base.div(n1,4),.3, [1 -1])];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Density weights $p_0, p_1$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "normalize = a-> a/sum(a)\n", "p0 = normalize(rand(n0, 1))\n", "p1 = normalize(rand(n1, 1));" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Shortcut for display." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "myplot = (x,y,ms,col) -> scatter(x,y, s=ms*20, edgecolors=\"k\", c=col, linewidths=2);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the point clouds.\n", "The size of each dot is proportional to its probability density weight." ] }, { "cell_type": "code", "execution_count": 8, "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", "axis(\"off\")\n", "\n", "for i in 1:length(p0)\n", " myplot(X0[1,i], X0[2,i], p0[i]*length(p0)*10, \"b\")\n", "end\n", "\n", "for i in 1:length(p1)\n", " myplot(X1[1,i], X1[2,i], p1[i]*length(p1)*10, \"r\")\n", " \n", "xlim(minimum(X1[1,:])-.1,maximum(X1[1,:])+.1)\n", "ylim(minimum(X1[2,:])-.1,maximum(X1[2,:])+.1)\n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the weight matrix $ (C_{i,j})_{i,j}. $" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "C = repeat( sum(X0.^2,1)', outer=(1, n1) ) + repeat( sum(X1.^2,1), outer=(n0,1) ) - 2*X0'*X1;" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Gamma = otransp(C, p0, p1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Check that the number of non-zero entries in $\\ga^\\star$ is $n_0+n_1-1$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of non-zero: 139 (n0 + n1-1 = 139)\n" ] } ], "source": [ "println(\"Number of non-zero: $(length(Gamma[Gamma.>0])) (n0 + n1-1 = $(n0 + n1-1))\" )" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Check that the solution satifies the constraints $\\ga \\in \\Cc$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Constraints deviation (should be 0): 4.9279582884301896e-17, 7.359808400080195e-18\n" ] } ], "source": [ "println(\"Constraints deviation (should be 0): $(norm(sum(Gamma,2)-vec(p0))), $(norm(sum(Gamma, 1)'-vec(p1)))\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Displacement Interpolation\n", "--------------------------\n", "For any $t \\in [0,1]$, one can define a distribution $\\mu_t$ such\n", "that $t \\mapsto \\mu_t$ defines a geodesic for the Wasserstein metric.\n", "\n", "\n", "Since the $W_2$ distance is a geodesic distance, this geodesic path solves the\n", "following variational problem\n", "\n", "$$ \\mu_t = \\uargmin{\\mu} (1-t)W_2(\\mu_0,\\mu)^2 + t W_2(\\mu_1,\\mu)^2. $$\n", "This can be understood as a generalization of the usual Euclidean\n", "barycenter to barycenter of distribution. Indeed, in the case that\n", "$\\mu_k = \\de_{x_k}$, one has $\\mu_t=\\de_{x_t}$ where $ x_t =\n", "(1-t)x_0+t x_1 $.\n", "\n", "\n", "Once the optimal coupling $\\ga^\\star$ has been computed, the\n", "interpolated distribution is obtained as\n", "\n", "$$ \\mu_t = \\sum_{i,j} \\ga^\\star_{i,j} \\de_{(1-t)x_{0,i} + t x_{1,j}}. $$\n", "\n", "\n", "Find the $i,j$ with non-zero $\\ga_{i,j}^\\star$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "([32,13,45,56,26,10,32,8,18,25 … 53,1,52,35,55,31,60,1,41,58],[1,2,2,3,4,5,6,7,7,7 … 76,77,77,78,78,79,79,80,80,80],[0.0153754,0.00758918,0.00179225,0.00931836,0.00540233,0.000804079,0.00391476,0.00715802,0.00813156,0.000680036 … 0.0196654,0.0141461,0.00265769,0.00844133,0.00146386,0.00760516,0.00800825,0.0124461,0.00522099,0.00752341])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "I,J,Gammaij = findnz(Gamma)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the evolution of $\\mu_t$ for a varying value of $t \\in [0,1]$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "139" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "length(Gammaij)" ] }, { "cell_type": "code", "execution_count": 15, "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 =(15,10))\n", "tlist = collect(linspace(0, 1, 6))\n", "\n", "for i in 1:length(tlist)\n", " t = tlist[i]\n", " Xt = (1-t)*X0[:,I] + t*X1[:,J]\n", " subplot(2,3,i)\n", " axis(\"off\")\n", " for j in 1:length(Gammaij)\n", " myplot(Xt[1,j],Xt[2,j],Gammaij[j]*length(Gammaij)*6,[t,0,1-t])\n", " end\n", " title(\"t = $t\") \n", " xlim(minimum(X1[1,:])-.1,maximum(X1[1,:])+.1)\n", " ylim(minimum(X1[2,:])-.1,maximum(X1[2,:])+.1)\n", " \n", "end" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Optimal Assignement\n", "-------------------\n", "In the case where the weights $p_{0,i}=1/n, p_{1,i}=1/n$ (where $n_0=n_1=n$) are\n", "constants, one can show that the optimal transport coupling is actually a\n", "permutation matrix. This properties comes from the fact that\n", "the extremal point of the polytope $\\Cc$ are permutation matrices.\n", "\n", "\n", "This means that there exists an optimal permutation $ \\si^\\star \\in \\Sigma_n $ such\n", "that\n", "\n", "$$ \\ga^\\star_{i,j} = \\choice{\n", " 1 \\qifq j=\\si^\\star(i), \\\\\n", " 0 \\quad\\text{otherwise}.\n", " } $$\n", " \n", "where $\\Si_n$ is the set of permutation (bijections) of\n", "$\\{1,\\ldots,n\\}$.\n", "\n", "\n", "This permutation thus solves the so-called optimal assignement problem\n", "\n", "$$ \\si^\\star \\in \\uargmin{\\si \\in \\Sigma_n}\n", " \\sum_{i} C_{i,\\si(j)}. $$\n", "\n", "\n", "Same number of points." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n0 = 40\n", "n1 = n0;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute points clouds." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "X0 = randn(2,n0)*.3\n", "X1 = [gauss(Base.div(n1,2),.5, [0 1.6]) gauss(Base.div(n1,4),.3, [-1 -1]) gauss(Base.div(n1,4),.3, [1 -1])];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Constant distributions." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "p0 = ones(n0)/n0\n", "p1 = ones(n1)/n1;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Compute the weight matrix $ (C_{i,j})_{i,j}. $" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "C = repeat( sum(X0.^2,1)', outer=(1,n1) ) + repeat( sum(X1.^2,1), outer=(n0,1) ) - 2*X0'*X1;" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the coulds." ] }, { "cell_type": "code", "execution_count": 20, "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", "axis(\"off\")\n", "\n", "myplot(X0[1,:],X0[2,:],10,\"b\")\n", "myplot(X1[1,:],X1[2,:],10,\"r\")\n", " \n", "xlim(minimum(X1[1,:])-.1,maximum(X1[1,:])+.1)\n", "ylim(minimum(X1[2,:])-.1,maximum(X1[2,:])+.1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Solve the optimal transport." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "deletable": true, "editable": true, "scrolled": false }, "outputs": [], "source": [ "Gamma = otransp(C, p0, p1);" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Show that $\\ga$ is a binary permutation matrix." ] }, { "cell_type": "code", "execution_count": 22, "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(Gamma)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the optimal assignement." ] }, { "cell_type": "code", "execution_count": 23, "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": [ "I,J = findn(Gamma)\n", "\n", "figure(figsize = (10,7))\n", "axis(\"off\")\n", "\n", "for k in 1:length(I)\n", " h = plot([X0[1,I[k]]; X1[1,J[k]]],[X0[2,I[k]]; X1[2,J[k]]],\"k\", lw = 2)\n", "end\n", " \n", "myplot(X0[1,:],X0[2,:],10,\"b\")\n", "myplot(X1[1,:],X1[2,:],10,\"r\")\n", " \n", "xlim(minimum(X1[1,:])-.1,maximum(X1[1,:])+.1)\n", "ylim(minimum(X1[2,:])-.1,maximum(X1[2,:])+.1);" ] }, { "cell_type": "raw", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Julia 0.5.0", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.0" } }, "nbformat": 4, "nbformat_minor": 1 }