{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hIxzrw5FGxex" }, "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": "code", "execution_count": 3, "metadata": { "colab": {}, "colab_type": "code", "id": "BHk4LBfwGxez" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "7uFrL_P8Gxey" }, "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", "$$ \\DeclareMathOperator{\\KL}{KL}\n", "\\newcommand{\\KLdiv}[2]{\\KL\\pa{#1 | #2}}\n", "\\newcommand{\\KLproj}{\\text{Proj}^{\\tiny\\KL}}\n", "\\renewcommand{\\epsilon}{\\varepsilon}\n", "\\def\\ones{\\mathbb{I}} $$" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "BufUM6ULGxe1" }, "source": [ "Entropic Regularization of Optimal Transport\n", "--------------------------------------------\n", "We consider two input histograms $a,b \\in \\Si_n$, where we denote the simplex in $\\RR^n$\n", "$$ \\Si_n \\eqdef \\enscond{ a \\in \\RR_+^n }{ \\sum_i a_i = 1 }. $$\n", "We consider the following discrete regularized transport\n", "$$ W_\\epsilon(a,b) \\eqdef \\umin{P \\in U(a,b)} \\dotp{C}{P} - \\epsilon E(P). $$\n", "where the polytope of coupling is defined as\n", "$$ U(a,b) \\eqdef \\enscond{P \\in (\\RR^+)^{n \\times m}}{ P \\ones_m = a, P^\\top \\ones_n = b }, $$\n", "where $\\ones_n \\eqdef (1,\\ldots,1)^\\top \\in \\RR^n $,\n", "and for $P \\in \\RR_+^{n \\times m}$, we define its entropy as\n", "$$ E(P) \\eqdef -\\sum_{i,j} P_{i,j} ( \\log(P_{i,j}) - 1). $$\n", "\n", "\n", "When $\\epsilon=0$ 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 m} $ 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", "$$ W_\\epsilon(a,b) = \\epsilon \\umin{P \\in U(a,b)} \\KLdiv{P}{K}\n", "\t\\qwhereq\n", "\tK_{i,j} \\eqdef e^{ -\\frac{C_{i,j}}{\\epsilon} } $$\n", "of the Gibbs kernel $K$ according to the Kullback-Leibler divergence.\n", "The Kullback-Leibler divergence between $P, K \\in \\RR_+^{n \\times m}$ is\n", "$$ \\KLdiv{P}{K} \\eqdef \\sum_{i,j} P_{i,j} \\pa{ \\log\\pa{ \\frac{P_{i,j}}{K_{i,j}} } - 1}. $$\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", "$$ \\KLproj_\\Cc(\\xi) = \\uargmin{ \\pi \\in \\Cc } \\KLdiv{\\pi}{\\xi}. $$" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "_FZI_Ax0Gxe2" }, "source": [ "Iterative Bregman Projection Algorithm\n", "--------------------------------------\n", "Given affine constraint sets $ (\\Cc_1,\\Cc_2) $, we aim at computing\n", "$$ \\KLproj_\\Cc(K) \\qwhereq \\Cc = \\Cc_1 \\cap \\Cc_2 $$\n", "(this description can of course be extended to more than 2 sets). \n", "\n", "This can be achieved, starting by $P_0=K$, by iterating $\\forall \\ell \\geq 0$, \n", "$$ P_{2\\ell+1} = \\KLproj_{\\Cc_1}(P_{2\\ell}) \n", " \\qandq \n", " P_{2\\ell+2} = \\KLproj_{\\Cc_2}(P_{2\\ell+1}). $$\n", "\n", "One can indeed show that $P_\\ell \\rightarrow \\KLproj_\\Cc(K)$.\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)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "kdlrOxLLGxe3" }, "source": [ "Sinkhorn's Algorithm\n", "-----------------------------------------------------------------------\n", "\n", "A fundamental remark is that the optimality condition of the entropic regularized problem shows that the optimal coupling $P_\\epsilon$ necessarily has the form \n", "$$P_\\epsilon = \\diag{u} K \\diag{v}$$\n", "where the Gibbs kernel is defined as\n", "$$K \\eqdef e^{-\\frac{C}{\\epsilon}}.$$\n", "\n", "One thus needs to find two positive scaling vectors $u \\in \\RR_+^n$ and $v \\in \\RR_+^m$ such that the two following equality holds\n", "$$P \\ones = u \\odot (K v) = a \n", "\\qandq\n", "P^\\top \\ones = v \\odot (K^\\top u) = b.$$\n", "\n", "Sinkhorn's algorithm alternate between the resolution of these two equations, and reads\n", "$$u \\longleftarrow \\frac{a}{K v} \\qandq v \\longleftarrow \\frac{b}{K^\\top u}.$$\n", "This algorithm was shown to converge to a solution of the entropic regularized problem by [Sinkhorn](#biblio)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "MlnC-MghGxe3" }, "source": [ "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}, y=(y_i)_{i=1}^{m}, $\n", "where $x_i, y_i \\in \\RR^2$.\n", "\n", "\n", "Number of points in each cloud, $N=(n,m)$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": {}, "colab_type": "code", "id": "p-New-DnGxe4" }, "outputs": [], "source": [ "N = [300,200]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KtavjS8tGxe6" }, "source": [ "Dimension of the clouds." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": {}, "colab_type": "code", "id": "xGFbWEWoGxe7" }, "outputs": [], "source": [ "d = 2" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "h0A_gi9ZGxe9" }, "source": [ "Point cloud $x$, of $n$ points inside a square." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": {}, "colab_type": "code", "id": "hy3tbYI3Gxe-" }, "outputs": [], "source": [ "x = np.random.rand(2,N[0])-.5" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "rbHe15dVGxfA" }, "source": [ "Point cloud $y$, of $m$ points inside an anulus." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": {}, "colab_type": "code", "id": "ydX__xgLGxfB" }, "outputs": [], "source": [ "theta = 2*np.pi*np.random.rand(1,N[1])\n", "r = .8 + .2*np.random.rand(1,N[1])\n", "y = np.vstack((np.cos(theta)*r,np.sin(theta)*r))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "8zfAGx3nGxfD" }, "source": [ "Shortcut for displaying point clouds." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": {}, "colab_type": "code", "id": "LZYxUdgKGxfE" }, "outputs": [], "source": [ "plotp = lambda x,col: plt.scatter(x[0,:], x[1,:], s=200, edgecolors=\"k\", c=col, linewidths=2)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "x6Uq_xsZGxfG" }, "source": [ "Display of the two clouds." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 592 }, "colab_type": "code", "id": "lDP22-DcGxfG", "outputId": "a7279480-a9e0-49e0-bb64-22c7e782ad05" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "plotp(x, 'b')\n", "plotp(y, 'r')\n", "plt.axis(\"off\")\n", "plt.xlim(np.min(y[0,:])-.1,np.max(y[0,:])+.1)\n", "plt.ylim(np.min(y[1,:])-.1,np.max(y[1,:])+.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Fm62FbUOGxfK" }, "source": [ "Cost matrix $C_{i,j} = \\norm{x_i-y_j}^2$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": {}, "colab_type": "code", "id": "4Hndddz1GxfL" }, "outputs": [], "source": [ "x2 = np.sum(x**2,0)\n", "y2 = np.sum(y**2,0)\n", "C = np.tile(y2,(N[0],1)) + np.tile(x2[:,np.newaxis],(1,N[1])) - 2*np.dot(np.transpose(x),y)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "11OyjdrIGxfO" }, "source": [ "Target histograms $(a,b)$, here uniform histograms." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": {}, "colab_type": "code", "id": "kQXUqz-eGxfO" }, "outputs": [], "source": [ "a = np.ones(N[0])/N[0]\n", "b = np.ones(N[1])/N[1]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3RDM57fnGxfR" }, "source": [ "Regularization strength $\\epsilon>0$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": {}, "colab_type": "code", "id": "l1BHj8iQGxfS" }, "outputs": [], "source": [ "epsilon = .01;" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "CtJL1FSUGxfU" }, "source": [ "Gibbs Kernel $K$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": {}, "colab_type": "code", "id": "Pqe9NtWvGxfV" }, "outputs": [], "source": [ "K = np.exp(-C/epsilon)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "R0EWnFxcGxfX" }, "source": [ "Initialization of $v=\\ones_{m}$ ($u$ does not need to be\n", "initialized)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": {}, "colab_type": "code", "id": "ZnKYmmXTGxfX" }, "outputs": [], "source": [ "v = np.ones(N[1])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "A5dz5S9aGxfZ" }, "source": [ "One sinkhorn iterations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": {}, "colab_type": "code", "id": "RAgUNsDPGxfZ" }, "outputs": [], "source": [ "u = a / (np.dot(K,v))\n", "v = b / (np.dot(np.transpose(K),u))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "2sx0BXudGxfb" }, "source": [ "__Exercise 1__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$$ \\norm{ P \\ones - a }_1 \\qandq \\norm{ P^\\top \\ones - b } $$\n", "(you need to think about how to compute these residuals from $(u,v)$ alone).\n", "isplay the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "colab_type": "code", "id": "zJbQhoeEGxfc", "outputId": "74e7ff6e-9ae9-407e-cf89-e0efef5e6a9b" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "epsilon = .01;\n", "K = np.exp(-C/epsilon)\n", "v = np.ones(N[1])\n", "niter = 5000\n", "Err_p = []\n", "Err_q = []\n", "for i in range(niter):\n", " # sinkhorn step 1\n", " u = a / (np.dot(K,v))\n", " # error computation\n", " r = v*np.dot(np.transpose(K),u)\n", " Err_q = Err_q + [np.linalg.norm(r - b, 1)]\n", " # sinkhorn step 2\n", " v = b /(np.dot(np.transpose(K),u))\n", " s = u*np.dot(K,v)\n", " Err_p = Err_p + [np.linalg.norm(s - a,1)]\n", "plt.figure(figsize = (10,7))\n", "plt.subplot(2,1,1)\n", "plt.title(\"$||P 1 - a||$\")\n", "plt.plot(np.log(np.asarray(Err_p)), linewidth = 2)\n", "plt.subplot(2,1,2)\n", "plt.title(\"$||P^T 1 - b||$\")\n", "plt.plot(np.log(np.asarray(Err_q)), linewidth = 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "l-BjCy2PGxfg" }, "source": [ "Compute the final matrix $P$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": {}, "colab_type": "code", "id": "XhDpEQ5HGxfh" }, "outputs": [], "source": [ "P = np.dot(np.dot(np.diag(u),K),np.diag(v))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "_K4p6BG1Gxfj" }, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 269 }, "colab_type": "code", "id": "tcwVI2MPGxfk", "outputId": "7a867821-5259-4bfd-af29-e0f75956ea36" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.imshow(P);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "FGxtM7MFGxfm" }, "source": [ "__Exercise 2__\n", "\n", "Display the regularized transport solution for various values of $\\epsilon$.\n", "For a too small value of $\\epsilon$, what do you observe ?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 595 }, "colab_type": "code", "id": "KknSNAcCGxfn", "outputId": "ebe38c6f-efc0-4413-875c-6a35307a6b2c" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,10))\n", "glist = [.1,.01,.005,.001]\n", "niter = 300\n", "clamp = lambda x,a,b: min(max(x,a),b)\n", "for k in range(len(glist)):\n", " epsilon = glist[k]\n", " K = np.exp(-C/epsilon)\n", " v = np.ones(N[1])\n", " for i in range(niter):\n", " u = a / (np.dot(K,v))\n", " v = b /(np.dot(np.transpose(K),u))\n", " P = np.dot(np.dot(np.diag(u),K),np.diag(v))\n", " #imageplot(clamp(Pi,0,np.min(1/np.asarray(N))*.3),\"$\\gamma=$ %.3f\" %gamma, [2,2,k+1])\n", " plt.subplot(2,2,k+1)\n", " plt.imshow(np.clip(P,0,np.min(1/np.asarray(N))*.3));\n", " #\"$\\gamma=$ %.3f\" %gamma, [2,2,k+1])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "yJWgh5LKGxfr" }, "source": [ "Compute the obtained optimal $P$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": {}, "colab_type": "code", "id": "uEZbq83ZGxfs" }, "outputs": [], "source": [ "P = np.dot(np.dot(np.diag(u),K),np.diag(v))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "rIZQEeqcGxfv" }, "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 $P_{i,j}$.\n", "We then draw weaker connexions." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 592 }, "colab_type": "code", "id": "BBMA0LXQGxfw", "outputId": "79be5431-1e84-403d-d9e7-6bd82596f636" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,10))\n", "\n", "plotp(x, 'b')\n", "plotp(y, 'r')\n", "\n", "A = P * (P > np.max(P)*.8)\n", "i,j = np.where(A != 0)\n", "plt.plot([x[0,i],y[0,j]],[x[1,i],y[1,j]],'k',lw = 2)\n", "\n", "A = P * (P > np.max(P)*.2)\n", "i,j = np.where(A != 0)\n", "plt.plot([x[0,i],y[0,j]],[x[1,i],y[1,j]],'k:',lw = 1)\n", "\n", "plt.axis(\"off\")\n", "plt.xlim(np.min(y[0,:])-.1,np.max(y[0,:])+.1)\n", "plt.ylim(np.min(y[1,:])-.1,np.max(y[1,:])+.1)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "mRGN3ZuuGxfz" }, "source": [ "Transport Between Histograms\n", "----------------------------\n", "We now consider a different setup, where the histogram values\n", "$a,b$ 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": { "colab": {}, "colab_type": "code", "id": "htVQ6WePGxf0" }, "outputs": [], "source": [ "N = 200" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "eFRMBizFGxf2" }, "source": [ "We use here a 1-D square Euclidean metric." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": {}, "colab_type": "code", "id": "diGwF9rYGxf4" }, "outputs": [], "source": [ "t = np.arange(0,N)/N" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "TQiUBADIGxf6" }, "source": [ "Define the histogram $a,b$ as translated Gaussians." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": {}, "colab_type": "code", "id": "Q4vSUIEHGxf6" }, "outputs": [], "source": [ "Gaussian = lambda t0,sigma: np.exp(-(t-t0)**2/(2*sigma**2))\n", "normalize = lambda p: p/np.sum(p)\n", "sigma = .06;\n", "a = Gaussian(.25,sigma)\n", "b = Gaussian(.8,sigma)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "i9M4CgM6Gxf8" }, "source": [ "Add some minimal mass and normalize." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": {}, "colab_type": "code", "id": "mPscgneUGxf9" }, "outputs": [], "source": [ "vmin = .02;\n", "a = normalize( a+np.max(a)*vmin)\n", "b = normalize( b+np.max(b)*vmin)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fRsQVbaXGxf_" }, "source": [ "Display the histograms." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 432 }, "colab_type": "code", "id": "Z24_euveGxf_", "outputId": "5837ccd0-022f-4275-effe-6bb7b5a1a5f0" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (10,7))\n", "plt.subplot(2, 1, 1)\n", "plt.bar(t, a, width = 1/len(t), color = \"darkblue\")\n", "plt.subplot(2, 1, 2)\n", "plt.bar(t, b, width = 1/len(t), color = \"darkblue\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "FZFY3K3pGxgC" }, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": {}, "colab_type": "code", "id": "sdQCFFKIGxgD" }, "outputs": [], "source": [ "epsilon = (.03)**2" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Hke_alUyGxgF" }, "source": [ "The Gibbs kernel is a Gaussian convolution,\n", "$$ K_{i,j} \\eqdef e^{ -(i/N-j/N)^2/\\epsilon }. $$" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "colab": {}, "colab_type": "code", "id": "TY4bmXh0GxgG" }, "outputs": [], "source": [ "[Y,X] = np.meshgrid(t,t)\n", "K = np.exp(-(X-Y)**2/epsilon)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "C-bu3FygGxgJ" }, "source": [ "Initialization of $v=\\ones_{N}$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "colab": {}, "colab_type": "code", "id": "I4vLQF6RGxgK" }, "outputs": [], "source": [ "v = np.ones(N)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "P1eIPDAqGxgU" }, "source": [ "One sinkhorn iteration." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "colab": {}, "colab_type": "code", "id": "hdfOVelsGxgV" }, "outputs": [], "source": [ "u = a / (np.dot(K,v))\n", "v = b / (np.dot(np.transpose(K),u))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "i1X6IbVAGxga" }, "source": [ "__Exercise 3__\n", "\n", "Implement Sinkhorn algorithm.\n", "Display the evolution of the constraints satisfaction errors\n", "$ \\norm{ P \\ones - a }_1, \\norm{ P^\\top \\ones - b }_1$. You need to think how to compute it from $(u,v)$.\n", "Display the violation of constraint error in log-plot." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "colab_type": "code", "id": "H1ajyvgAGxgb", "outputId": "174969a7-dd0b-4665-fd30-6cad82ee0df6" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "v = np.ones(N)\n", "niter = 2000\n", "Err_p = []\n", "Err_q = []\n", "for i in range(niter):\n", " # sinkhorn step 1\n", " u = a / (np.dot(K,v))\n", " # error computation\n", " r = v*np.dot(np.transpose(K),u)\n", " Err_q = Err_q + [np.linalg.norm(r - b, 1)]\n", " # sinkhorn step 2\n", " v = b /(np.dot(np.transpose(K),u))\n", " s = u*np.dot(K,v)\n", " Err_p = Err_p + [np.linalg.norm(s - a,1)]\n", "plt.figure(figsize = (10,7))\n", "plt.subplot(2,1,1)\n", "plt.title(\"$||P1 -a||_1$\")\n", "plt.plot(np.log(np.asarray(Err_p)), linewidth = 2)\n", "plt.subplot(2,1,2)\n", "plt.title(\"$||P^T 1 -b||_1$\")\n", "plt.plot(np.log(np.asarray(Err_q)), linewidth = 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3uYgnaBqGxgi" }, "source": [ "Display the coupling. Use a log domain plot to better vizualize it." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "Et8h5Iq3Gxgj", "outputId": "6157614c-9b16-4190-8efb-7cc72706bad6" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "P = np.dot(np.dot(np.diag(u),K),np.diag(v))\n", "plt.figure(figsize=(5,5))\n", "plt.imshow(np.log(P+1e-5))\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "D7wwnz-pGxgo" }, "source": [ "One can compute an approximation of the transport plan\n", "between the two measure by computing the so-called barycentric projection map\n", "$$ t_i \\in [0,1] \\longmapsto s_j \\eqdef \\frac{\\sum_{j} P_{i,j} t_j }{ \\sum_{j} P_{i,j} }\n", " = \\frac{ [u \\odot K(v \\odot t)]_j }{ a_i }. $$\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 $K$." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "colab": {}, "colab_type": "code", "id": "dsnnS_qaGxgq" }, "outputs": [], "source": [ "s = np.dot(K,v*t)*u/a" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "dlCSSzERGxgv" }, "source": [ "Display the transport map, super-imposed over the coupling." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "cN02sn13Gxgw", "outputId": "566805af-d559-48be-a6ae-144a3c5bf904" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "plt.imshow(np.log(P+1e-5))\n", "plt.plot(s*N,t*N, 'r', linewidth=3);\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hSYCFpkiGxg3" }, "source": [ "__Exercise (bonus)__\n", "\n", "Try different regularization strength $\\epsilon$." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "9RPBqH0Ezjvh" }, "source": [ "Using GPUs\n", "-----------------------" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "kGhILmt9xu8B" }, "source": [ "We will use here [Pytorch](https://pytorch.org/) to implement Sinkhorn on the GPU. If you are running the code on Google Colab, this means you need to switch on in the preferences the use of a GPU." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "NAHof2CXyV4L", "outputId": "a652c997-1ad1-46e5-a35f-85e7a067be88" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cpu\n" ] } ], "source": [ "import torch\n", "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n", "print( device )" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "D9BNJqSN_5V1" }, "source": [ "Since CUDA uses float number on 32 bits, one needs to use a quite large value for $\\epsilon$ to avoid overflow." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": {}, "colab_type": "code", "id": "deGYKr51_3wg" }, "outputs": [], "source": [ "epsilon = (.06)**2\n", "K = np.exp(-(X-Y)**2/epsilon)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "43VLmQHb0_4J" }, "source": [ "Convert Sinkohrn variables and host them on GPU (if available)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": {}, "colab_type": "code", "id": "vNoqBwVQ0O2D" }, "outputs": [], "source": [ "u = torch.ones(N);\n", "v = torch.ones(N);\n", "K1 = torch.from_numpy(K).type(torch.FloatTensor); \n", "a1 = torch.from_numpy(a).type(torch.FloatTensor); \n", "b1 = torch.from_numpy(b).type(torch.FloatTensor); \n", "K1.to(device);\n", "u.to(device); v.to(device);\n", "a1.to(device); b1.to(device);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hbBZMACcATWx" }, "source": [ "When using Pytorch, it is good practice to implement matrix operation as summation and dummy variables. We show here how to implement one iteration of Sinkhorn this way." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": {}, "colab_type": "code", "id": "JC99FbLs1WDF" }, "outputs": [], "source": [ "u = a1 / (K1 * v[None,:]).sum(1)\n", "v = b1 / (K1 * u[:,None]).sum(0)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "x8vB89l4AyQL" }, "source": [ "__Exercise:__\n", "\n", "Implement the full algorithm." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 446 }, "colab_type": "code", "id": "MeUfBp5z0FBd", "outputId": "489a0bd7-c773-42c5-f5e9-25d2f1aa61c8" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "v = torch.ones(N)\n", "niter = 2000\n", "Err_p = torch.zeros(niter)\n", "Err_q = torch.zeros(niter)\n", "for i in range(niter):\n", " # sinkhorn step 1\n", " u = a1 / (K1 * v[None,:]).sum(1) \n", " # error computation\n", " r = v*(K1 * u[:,None]).sum(0)\n", " Err_q[i] = torch.norm(r - b1, p=1)\n", " # sinkhorn step 2\n", " v = b1 / (K1 * u[:,None]).sum(0)\n", " s = u*(K1 * v[None,:]).sum(1)\n", " Err_p[i] = torch.norm(s - a1,p=1)\n", "plt.figure(figsize = (10,7))\n", "plt.subplot(2,1,1)\n", "plt.title(\"$||P1 -a||_1$\")\n", "plt.plot(np.log(np.asarray(Err_p)), linewidth = 2)\n", "plt.subplot(2,1,2)\n", "plt.title(\"$||P^T 1 -b||_1$\")\n", "plt.plot(np.log(np.asarray(Err_q)), linewidth = 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iUvgQQpuA6sN" }, "source": [ "__Exercice__\n", "To avoid underflow, replace the matrix/vector multiplication in a log-sum-exp style, and use the log-sum-exp stabilization trick." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "yu1mFp0tGxg3" }, "source": [ "Wasserstein Barycenters\n", "-----------------------\n", "Instead of computing transport, we now turn to the problem of computing\n", "barycenter of $R$ input measures $(a_k)_{k=1}^R$. A barycenter $b$ solves\n", "$$ \\umin{b} \\sum_{k=1}^R W_\\ga(a_k,b) $$\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)." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "VwasrOSyGxg4" }, "source": [ "Dimension (width of the images) $N$ of the histograms." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "Jtz4gKsmGxg6" }, "outputs": [], "source": [ "N = 70" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "ChVYzac2Gxg_" }, "source": [ "You need to install imageio, for instance using\n", "> conda install -c conda-forge imageio\n", "\n", "If you need to rescale the image size, you can use\n", "> skimage.transform.resize" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "EJp5p372GxhA" }, "source": [ "Load input histograms $(a_k)_{k=1}^R$, store them in a tensor $A$." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "n4eVXYnFGxhB" }, "outputs": [], "source": [ "# local url\n", "base_path = \"nt_toolbox/data/\"\n", "# global url\n", "base_path = \"https://raw.githubusercontent.com/gpeyre/numerical-tours/master/python/nt_toolbox/data/\"\n", "import imageio\n", "rescale = lambda x: (x-x.min())/(x.max()-x.min())\n", "names = ['disk','twodisks','letter-x','letter-z']\n", "vmin = .01\n", "A = np.zeros([N,N,len(names)])\n", "for i in range(len(names)):\n", " a = imageio.imread(base_path + names[i] + \".bmp\") # ,N) \n", " a = normalize(rescale(a)+vmin)\n", " A[:,:,i] = a\n", "R = len(names)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "sRO0PjYWGxhH" }, "source": [ "Display the input histograms." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "xidTTKFWGxhI", "outputId": "ea85f212-de3d-4369-af15-c9dcdc8c8ee0" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAATUAAAEyCAYAAACbGke8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5,5))\n", "for i in range(R):\n", " plt.subplot(2,2,i+1)\n", " plt.imshow(A[:,:,i])\n", " plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6YsV9OTiGxhM" }, "source": [ "In this specific case, the kernel $K$ associated with the\n", "squared Euclidean norm is a convolution with a Gaussian filter\n", "$$ K_{i,j} = e^{ -\\norm{i/N-j/N}^2/\\epsilon } $$\n", "where here $(i,j)$ are 2-D indexes.\n", "\n", "\n", "The multiplication against the kernel, i.e. $K(a)$, \n", "can now be computed efficiently, using fast convolution methods. \n", "This crucial points was exploited and generalized in [SolomonEtAl](#biblio)\n", "to design fast optimal transport algorithm." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Q-cOsDcaGxhN" }, "source": [ "Regularization strength $\\epsilon>0$." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "HRtmRMcRGxhO" }, "outputs": [], "source": [ "epsilon = (.04)**2" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "EttIWSJSGxhS" }, "source": [ "Define the $K$ 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": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "RNt6jb6UGxhY" }, "outputs": [], "source": [ "t = np.linspace(0,1,N)\n", "[Y,X] = np.meshgrid(t,t)\n", "K1 = np.exp(-(X-Y)**2/epsilon)\n", "K = lambda x: np.dot(np.dot(K1,x),K1)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "QMM383AYGxhc" }, "source": [ "Display the application of the $K$ kernel on one of the input histogram." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 320 }, "colab_type": "code", "id": "JMOqdfV5Gxhf", "outputId": "5cb73c09-0f27-4dc3-b1f9-ac51bc5bbbc8" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,5))\n", "plt.subplot(1,2,1)\n", "plt.imshow(A[:,:,0])\n", "plt.title(\"$a$\")\n", "plt.axis('off');\n", "plt.subplot(1,2,2)\n", "plt.imshow(K(A[:,:,0]))\n", "plt.title(\"$K(a)$\")\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "yiAg9H48Gxhi" }, "source": [ "Weights $\\la_k$ for isobarycenter." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "bxfBpn_nGxhj" }, "outputs": [], "source": [ "lambd = np.ones(R)/R" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "z9yaLXeYGxhn" }, "source": [ "It is shown in [BenamouEtAl](#biblio) that the problem of Barycenter computation\n", "boilds down to\n", "optimizing over couplings $(P_k)_{k=1}^R$, and that this can be achieved\n", "using iterative a Sinkhorn-like algorithm, since the optimal coupling has the scaling form\n", "$$P_k = \\diag{u_k} K \\diag{v_k}$$\n", "for some unknown positive weights $(u_k,v_k)$." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "hL5A2KYWGxho" }, "source": [ "Initialize the scaling factors $(u_k,v_k)_k$, store them in matrices." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "VYSKCeSNGxhr" }, "outputs": [], "source": [ "v = np.ones([N,N,R])\n", "u = np.copy(v)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "EKNbR6msGxhv" }, "source": [ "The first step of the Bregman projection method corresponds to the\n", "projection on the fixed marginals constraints $P^k \\ones = a_k$. This\n", "is achieved by updating\n", "$$ \\forall k=1,\\ldots,R, \\quad u_k \\longleftarrow \\frac{a_k}{ K( v_k ) }. $$" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "9IiHaKioGxhw" }, "outputs": [], "source": [ "for k in range(R):\n", " u[:,:,k] = A[:,:,k]/K(v[:,:,k])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "zOMHr2SZGxh0" }, "source": [ "The second step of the Bregman projection method corresponds to the\n", "projection on the equal marginals constraints $\\forall k, P_k^\\top \\ones=b$ for a common barycenter target $b$. This\n", "is achieved by first computing the target barycenter $b$ using a geometric means\n", "$$ \\log(b) \\eqdef \\sum_k \\lambda_k \\log( u_{k} \\odot K ( v_{k} ) ). $$" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "fDeHOT-bGxh0" }, "outputs": [], "source": [ "b = np.zeros(N)\n", "for k in range(R):\n", " b = b + lambd[k] * np.log(np.maximum(1e-19*np.ones(len(v[:,:,k])), v[:,:,k]*K(u[:,:,k])))\n", "b = np.exp(b)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "X9UlK6ZZGxil" }, "source": [ "Display $b$." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "5kW0_Ay4Gxil", "outputId": "bdd4b7e6-f8f6-49cd-bb7f-001b410627e5" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.imshow(b);\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "sHWK7Mr8Gxio" }, "source": [ "And then one can update the scaling by a Sinkhorn step using this newly computed histogram $b$ as follow (note that $K=K^\\top$ here):\n", "$$ \\forall k=1,\\ldots,R, \\quad v_{k} \\longleftarrow \\frac{b}{ K(u_{k}) }. $$" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "ubG1EJ1FGxip" }, "outputs": [], "source": [ "for k in range(R):\n", " v[:,:,k] = b/K(u[:,:,k])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "L_I20evnGxiq" }, "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{P_k \\ones - a_k} $." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "2LDGxfHyGxir", "outputId": "5837784d-7d53-4b74-b633-c785b618f489" }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "niter = 1600\n", "v = np.ones([N,N,R])\n", "u = np.copy(v)\n", "Err_q = np.zeros(niter)\n", "for i in range(niter):\n", " for k in range(R):\n", " Err_q[i] = Err_q[i] + np.linalg.norm(u[:,:,k]*K(v[:,:,k]) - A[:,:,k], 1)\n", " u[:,:,k] = A[:,:,k]/K(v[:,:,k])\n", " b = np.zeros(N)\n", " for k in range(R):\n", " b = b + lambd[k] * np.log(np.maximum(1e-19*np.ones(len(v[:,:,k])), v[:,:,k]*K(u[:,:,k])))\n", " b = np.exp(b)\n", " for k in range(R):\n", " v[:,:,k] = b/K(u[:,:,k])\n", "plt.figure(figsize=(7,5))\n", "plt.plot(np.log(Err_q),linewidth = 2)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "3fVgsgwJGxiu" }, "source": [ "Display the barycenter." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 268 }, "colab_type": "code", "id": "JolUVUdyGxiu", "outputId": "4d50e844-f819-47a2-ffef-ca493f648935" }, "outputs": [ { "data": { "image/png": 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U1hmiStS91DY9yXmVqTvmsHOIrwJT95ATQ+5hrv5pDTWbmbozbRcxqTsn0ZyQ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\nY9xZ/ZSKilxh3GEX81FkpKC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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plt.imshow(b)\n", "plt.axis('off');" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "RANVYHnJGxiz" }, "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": 0, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 323 }, "colab_type": "code", "id": "5qmrV239Gxi0", "outputId": "3cc49ddd-ea9f-4dee-be13-6c70c1548b34" }, "outputs": [ { "data": { "image/png": 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9PzARW3GBO8EIZsvF2wRru4todZLakizT8ehIgw8TRbDTwF5tUFgysOxxozfB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6fZlGfKaZUA5imX0tMcCVT57dPmUlS2/LnxKIF8HAEp7XBmyNgzSMyTCal6si0rO/5ycMqGX7XD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\nQ/NlBlsUmpYyeRCNo5o2TksjBiE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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "m = 5\n", "[T,S] = np.meshgrid(np.linspace(0,1,m), np.linspace(0,1,m))\n", "T = np.ravel(T,order=\"F\")\n", "S = np.ravel(S,order=\"F\")\n", "niter = 1000\n", "plt.figure(figsize=(10,5))\n", "for j in range(m**2):\n", " # weights\n", " lambd = np.hstack((S[j]*T[j], (1-S[j])*T[j], S[j]*(1-T[j]), (1-S[j])*(1-T[j])))\n", " # computation\n", " v = np.ones([N,N,R])\n", " u = np.copy(v)\n", " for i in range(niter):\n", " for k in range(R):\n", " u[:,:,k] = A[:,:,k]/K(v[:,:,k])\n", " b = np.zeros(N)\n", " for k in range(R):\n", " b = b + lambd[k] * np.log(np.maximum(1e-19*np.ones(len(v[:,:,k])), v[:,:,k]*K(u[:,:,k])))\n", " b = np.exp(b)\n", " for k in range(R):\n", " v[:,:,k] = b/K(u[:,:,k])\n", " # display\n", " plt.subplot(m,m,j+1)\n", " plt.imshow(b)\n", " plt.axis('off')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "_XRcPiatGxi1" }, "source": [ "Bibliography\n", "------------\n", "\n", "\n", "\n", "* [Villani] C. 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. Convolutional Wasserstein distances: Efficient optimal transportation on geometric domains. Transaction on Graphics, Proc. SIGGRAPH, 2015.\n", "* [BenamouEtAl] J-D. Benamou, G. Carlier, M. Cuturi, L. Nenna, G. Peyr . Iterative Bregman Projections for Regularized Transportation Problems. SIAM Journal on Scientific Computing, 37(2), pp. A1111-A1138, 2015." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "raw", "id": "AmRpj78PGxi2" }, "source": [ "" ] } ], "metadata": { "accelerator": "GPU", "colab": { "collapsed_sections": [ "_XRcPiatGxi1" ], "name": "Sinkhorn", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.1" } }, "nbformat": 4, "nbformat_minor": 1 }