{ "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": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "options(warn=-1) # turns off warnings, to turn on: \"options(warn=0)\"\n", "\n", "library(imager)\n", "library(png)\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_general/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_general/\", f, sep=\"\"))\n", "}\n", "\n", "for (f in list.files(path=\"nt_toolbox/toolbox_signal/\", pattern=\"*.R\")) {\n", " source(paste(\"nt_toolbox/toolbox_signal/\", f, sep=\"\"))\n", "}\n", "\n", "source(\"nt_toolbox/toolbox_wavelet_meshes/meshgrid.R\")\n", "options(repr.plot.width=3.5, repr.plot.height=3.5)" ] }, { "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 <- c(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 <- array(runif(2*N[1]), c(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*array(runif(1*N[2]), c(1,N[2]))\n", "r <- .8 + .2*array(runif(1*N[2]), c(1,N[2]))\n", "y <- rbind(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 <- function(x, col){ points(x[1,],x[2,], pch=21, cex=2, col=\"black\", bg=col, lwd=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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PDwcGVpt/pAQlZB0lZhGaQePXrk5Oru3LlTuXJl5SrqA7vMiksB5gElhYtVdlmY\nrrqJ0Shsy9G3b9+c1NncV199lVExIBTYJFTV354lo9zc3K5fv25+/hs3btSvr2rKsjKdswxw\n0ebdSBOW+QWwaNEiscT09PSoqKiwsDC7msTUePz4sVLJ3y39n1AYGGFW+Uhgmmkc3L179/T0\ndPXlKs2EOmCNilfL50JZ0greRJrBwI7IwfR6/YIFCypWzLQxQYZixYpNmjQph92LY8c+2aq0\nLRBj/QsvSFia2MXFJTQ0NIdXFxoaWq6cyeimysBQYALwAdAbKAoTgYGByvHf9gR2/5VzPffc\nczmscybXrl1zccno3mwH6IHuQoWrW2prtMhip3ZERIQY+0r3py8wDPgAGC3MJlHoLMXH5j8J\nwHNyFm9v79TU1Ojo6K+//rp58+biQioeHh69evVavXp1rjRcicvrKI1z6cAws6uoJk9zft4s\nOG7cuPGjR4/UF5qSkqIsr9NT3aslXegjzt70IKKnFgM7oqeCwWD4+++/v/322/fee69fv34j\nR46cPn36vn370tLScn7y5OTkJk2eDC4qA3wL3DP9qjsN9DUdELZw4cKcF200Gq9du1anTh3b\nQY9k2LBh27ZtUx7G2hPY/SrnKlasWK5UW/T+++8rtXobiDUN5pyAtkBPoAngCxQHvE1X2QXQ\nt29fg8GQ6bQJCQnKtmkASpkN8HcFXgEmCu2RkHuE1fxsF3INHDjQ09PTxs2vXbt2zicTiGvy\nHTStzFemg/9s+Pfff+0qdMuWLUre06pvznqhxPPnz+fwwomeHgzsiAqEyMjIevXEIUwoDDQA\nXgZaAuYrZ3h4eADw9vZu1qzZlClTzp49m5PSk5OT586dqyyAYi4gIGDnzp1Go1HZAA1AvD2B\n3W9yLnd391y6Z0/ExcU995zS/oVWwP+ANurCFAATJ0602B42ceJEJY3ORn7THX53qr4nBrMN\narP03nvv5WRAnl6vV3rSV5rVJwwYbDY2UaI02ul0OmWmiErKbaxizwsmCfCQC83e6FWip5PO\nKO/nSEQGg+H8+fO3b99+9OiRp6ent7d33bp1NbBOvcFgCA0NvXTp0ty5c48fP569k3Tq1GnG\njBliC5O9UlNT9+7d+9dff924cSMmJsbZ2dnLy6t+/fq9evVSBpn9888/ShGXgJqqTz5D7o31\n9/e/etWu7b5UuXz5cvPmze/fz9gWwQloBRiBw8Bj67kqVKgwc+bMgQMHmnH2CSAAACAASURB\nVP8qMjKyevXqycnJdlXDCUhS3fQF4HXgd+GhDugI9AFqAu5AHHAcWA2cF9K8++6733//vV21\nEj3//PMXLlwAMBhYZilBErAdOAdcB9KBisBzwH45cdWqVcPCwuwqcfDgwStWrADQ1XSuRpbq\nASEAgE8//fTzzz/PIjXRs8LRkSXRU+HSpUsjR47MNBoMQOnSpYcOHZrD9ioHunz58qhRo2w0\nldlFp9NNnTrVvEsxFz148EBp8vnJngaYl+RKdurUKY/qFh4eXrt2bZX3KiAgYN68eQkJCdbO\nlmkjWgDuwFvAVuAacBc4A8wGMs2sKWLPPTEKw+wA1AGOW0qTDiwGxG7aJUuWZPsuTZo0Salq\nlLpKxgj7iHzwwQf2ltilSxcp72A7b05rudAxY8Zk+3qJnjYM7KigS0pKGjlypBJMWFSoUKGB\nAwfm7gJpeS0xMXH06NG2rwuAr69v1apVxWe8gLeAH4A/gHnAa8J0CsnEiRPztOZt27aVCgpQ\nsSeH9HNZ6KzM00mOsbGxH330kbu7xe5EAHB2dh40aJDF2a+ZNG7cWMz4CnDTSnfqH6ZTTFap\nDlyChFytgUc2E4cAytI7JUqUuHfvXvZu0fnz55XJGQPU1XOIXK5Opztz5oy9JQ4ZknGCznYG\ndrXkcqdNm5a9iyV6CjGwowItKioq0/erDc8///y1a9ccXWVVbt68qXIFDVEJ4GfTRZKln0fA\nF6bdfytXrsy7yi9cuFApaKmKr2cD8Kqc3s3N7fbt23lXN8nt27e///77du3a+fj4ODs7Fy5c\n2Nvbu2XLlnPmzLl165aaM6Snp4td/COyWsD5jBBel1OxZo10W5Tmugo2p0IrP0+2n7Nz57pM\nBg0apJxnUlbRudhumb2laiZPnixl91axDrbyEye8pBcvXpztiyV62jCwo4Lr0aNH4nwCF+Ad\n4IDcsJEAHAU+EEZYA/D397drR69cFB0dvXDhwv79+wcGBlatWjUwMLB///6LFi26e/eu+XUp\ni8Qq3IBWQB+gO9DI0lD9ckCozS/CvUJvXcmSJWNjY/PoStPS0pRGRDdgf1bhywThKiZMmJBH\ntcpdV65cUerc2uaGcsqP2Pw2U0X6k0L6X1WHO8pWcj4+Phan8V67di0iIsLG/hlGo/HWrVvi\nqIbuwHVLZd0R2uoAlC5dOjw8PBs3c9++fcpJ9qm+0t/kLDqdTk0LK9GzgoEdFVw9eyrfYmhs\nfVeGW0Ar4eunbdu2eTrIzNz169fffPNNa3M4nJychg4deuPGDSV9r169MkVsP5p1w0UAH5o2\nwpVV0e8ZJESEeRpCbd68WenOcwHmWQl97gDibvP+/v65vuJuHvnuu++Uap9UHYu8LGepryLx\nVDlxMZt7fmT6CRbu56lTp6Ta7tixY+jQoeIOeABq16793//+9/LlyxYv8NChQ8qy2ADcgH7A\nUuAQcAhYBrxmuiKxs7Pznj17sncz9Xp92bIZG7W0VNd9nwIo4w8aNWqUzb8i0VOJgR0VUHv3\n7lW+VNoAyTa/BtKAbsKX0Pr16/OtnmvXrrUxokvh4eGxbt06o9F48OBB8fk2NvvgTpouh/Ff\nFd+I/eXEpUuXztO9mL7++mvxQmoAXwEngWjgBrATGGs68qxo0aI5X0453/Tvn3EjG6gOuYzA\nGuF6LQ7IE3+UV2x3e4pIA9zkjMuXLz927FizZs1svPAKFy789ttvW2zGPnPmjJ+fX5YvXQDe\n3t5HjhzJyf2cNWuWcrYpKi5zsFD62rVrc1I00dOGgR0VUK1aZTTDlQPuq/gmiAeqyN8EdevW\nzZ9Kfvfddzrdk17TQkALYAwwERgDvGi6ZL9Op5s/f37z5s2VZ5pkFbAagcvChEQXFX2Ch4QS\nDx48mKeXv2jRInFbdxv8/Pyerd3clZGdH9oTdd0VLnmGzZQxQr/5e/YUYQT85YzdunXLcvKN\npEKFCqdPnza/zMjIyKFDh9pYMKhQoUKDBg26efNmDu9nUlKSr6+vctrx1l/Jqab9v02aNMnn\nBniivMbAjgqi27dvKz1936r+wlsufB9cvHgxryu5ceNGpZI6YChww6xKt4DRQnhXqFAhJRAs\nDFxQd10/C9f1c1aJ04W5k99//31e34SdO3faXmFEp9P17t0755FBPlN2kJtrT8hlEJrTnIDP\nrEx03S4EZwDetTOwqwILfID/ANuAk8ARYA3wBuAqJChdurS1btl///132rRpDRo0UHZmc3Z2\nrlu37pQpU3LxfXTy5Emxbfs5YLXpGtf3gUWmd8bLyyvXp0PduXNn27Zty5Yt++WXXzZu3Hjy\n5Em7Nr0lyjkGdlQQLV26VPl2vKv6Cy9RmEgxd+7cPK3h/fv3S5TIaEpzB9barNgG4fteMUj1\ndekBPzlXUxXpX5ATf/zxx3l6EyR6vX716tU9evTI1CXt4+MzevRoZRzYs6VKlYzwaZY9IVc6\nkKkBrSTwJrAY2AH8AXwK1DV7JWS7K1Z5j0wFkiwlDgc6CClr1KgRFxdn46rT09MjIyMjIiLy\nKNbZtGlTkSLiyD24AfWAl4DaZrfOy8srh/2/IoPBsGrVqhYtWoj78Cov1HHjxkVFReVWWUS2\nMbCjgmjKlCnSZ+7zdjZmtJA/rN999908reFHH30kFaQD/lBRsdVmX+cb7LmuMUKgkGVipa/3\n/fffz9ObkElKSsqVK1f2799/5MiRyMjIZ7ohROkxH2XPn+m62V9ZjWKWlrCx9rPbNK8zsNlm\nej3wjpD+k08+ceyN/eeff8TN36wJDAzMxZmwFy5caNq0qe0SixYtOmfOHHb7Uj7I/L8FUUFw\n584d6aC8nRl95IOoqKhcrE8mKSkpCxYskI77A/1UZBlgOj8UQD3LCS1TlryLV5E4Uj7w9va2\np5CccnV1rVatWuvWrZs1a+bj42PeNPIMqVs3o2Vth+10pnbKB4UAWzMaAC8vr48//lg6fgSs\nUF3ED6YPvwW62kzvBPwgbPvx3XffxcTEqC4t99WvXz8kJOTXX399/vnnzX+r0+maNm26fv36\nI0eOqJzYkaW//vorMDAw0059HkBJ02Tx8fHjx4/v379/UlJSrpRLZM0z/MlIlG1Kf429H7HK\n6PW7d+8eOXIkISEhF2ulOHjwoHLm8apzfWT6sJTlVJaVlg/0gN5myjDghnzs7+9vKylZpyxJ\ncw1Yry7LY2CufNwWOALsBt4H6gJiF3VgYOCvv/569erVGTNmKG1XU4BoFUVsNV0t73nT1jhr\nnIB5gDQ/IjExcePGjSoy5aHChQsPHz48NDT08uXLCxYs+OSTT0aMGDFlypQlS5bcuHHj2LFj\nvXr1Euck5cShQ4f69Onz6NEj6WF1YAEQDSQCsYAe2AsMFr5o//zzz6FDhxq5RTvlKUc3GRI5\ngLKURjl1q15FAmOFgWgKFxeXl1566Y8//sjdHhZlP/IKqvfUMgIGQFxn7LI9fXwL5FxuWaWc\nJKd0dXV9tvZYe6qkpqYqszirAw9U/I3E1V+Wm/5qmPy8h4dHYmKiUooYYzUBYm2e/4TZ3nHq\n5xUZhbUeu3Tp4sAbm5+io6OV9fN0wGQgzfq9rSzc2Dlz5ji67qRlbLGjgiggIEA6iAaO20wp\nfaHWAH4QWqoUaWlpe/bs6d+/f4sWLS5fvpxb1VP6eWtY2iLCGh0gbjdxxp4SlcRlbSa7AXwv\nH7/yyivFihWzlZqsc3FxmTp1qnR8BegBxNlMv1IIqesDbwi/OizM1+7Zs6eHx5OtUnr06KGs\nwn0CeBE4YenkBmAx0AZ4ZPp8ezVXIlMWT7506ZI9+Z5hn3322d27GY343wFfCBsWZ9IYOAZU\nspSRKPc5OrIkcgC9Xu/l5SW9BbpZb4RIEHZYEhW19AlevHjxbdu25Ur1Bg4cmGXdLP6Iw6F6\nqs6VLIw1HGM9WawwFM/JyenZWjfuKaTX6zt0eDKptBqww9JtjwFGCn9Wd9OdKkIAZZyjq6ur\n+ZZc8fHx4r55OqAD8C2wEzgBBAGfABYGowEAHtrz2vtNzuXh4eGQ+5nPIiIilEX++qq7RYfz\na+MWKuAY2FEBNWHCBOWrbp2lT2ED0EP4knMChgDbgTjACOiB88D7gJeQxsXF5ejRo/bWxGAw\n7N69e8yYMbVq1ZLawJRVedUsPiL+NBYqo1O9V9UsIdcKK2mOA9WEZOPGjcuLP0pBExcXp8yi\nkLwAfA4sB9YCPwEDTHfXKASslv8iacB8YRViWF+C59GjRz16iK9lq5ycnN5558mwOjUdxMrP\nEjmXp6enWHp6evrRo0eXLVs2e/bsOXPmLF++/Pjx4xqYHPrzzz8rnwxXVN+l3vJdqlatmqOv\ngDSLgR0VUPfv3y9evLj0IethaU2Hr4QvPF/gjPCrSOBd05BO/GqcMGGC7dW8RLt3727UqJG1\nL1p3IEH1d0a82Qpk/jb3E1NaEcRlZl2A4cBO4BYQC9wA1gF9THuE27Ztm5aWlqd/nYIjPj6+\na1fbE0+f/GnGA2uBJcA4wNf0t8OGDbNRyuPHj7/55htlZUSLateuvWvXrpCQEOWZs/YEdlPl\nXG5ubr6+viVLlqxYsaK3t7enp6d5WRUrVpw4ceK9e/fy7T7nOiVWbmnPXRLnply9etXRF0Ha\nxMCOCq7ff/9dmRxXCBgjLFZ8R2gLqQRECM14XwnLFFtTunTpFStW2C49PT39vffey+pMWKb6\nO+M3S9mfB65bz7ITKJ5lDUx16tSJcyZyV1pa2rx585SxAfZycnKaN2+emoJiYmLmzp3bvn37\nokWftAP6+Pi88cYba9askXb+TUhIcHPL+Afha9WvvaNmEy/UKF68+KJFi/L47uaVBg0aSFcx\nyZ7A7r5w+cHBwY6+CNImBnZUoCkrFUtcgVeAacJ6+oWEDs0UoSdFURSoA9QyXXJC8uGHH9ro\ncho3bpyY2AcYAywG1gJLhebAqlYW/c/0kyBM2m3QoEGtWrWUMxcDvjTdjiwdOAS8ZrrcUZMm\nTWxvDFqkSJFPP/1U+vqnXBcfH79ixYpevXr5+vpKoZWXl1e1atXKl7e12GJAQMCBAweyUVxs\nbGx4eHhycrL5r5QWxOrWp3kqPwZgqoopPh6AH+Br6Z8i22+Tp5byd/nensDOKDSrL1++3NEX\nQdrEwI4KutWrV4sTCTN5TfhEHiI8XxgYAvwPSJd/mwpsB7qafsnNmDHDYqG//vqrksYdmAOk\nmH76rxVO0gfQ2/yq0JtO8ti0adODBw/M19/3A1oBgcKqdYp3333XYDBcvnx53Lhx4mbqklq1\nak2ePJl7IjlEenr6rl273nnnnZo1a0otbZ6enjVq1BgxYsTOnTvzYvuNP//888kLOKswZYLp\nS6WE6VQMHdAb2Cu8gB8Du4Huprm8vb3LlCkDwN3d3c/Pr1+/fmvWrElKSsr1S8tFyiKOX9kT\n1aUK/01t2LDB0RdB2sTAjsh48eLFPn36WFyzdJv8ibxYeLIC8Lf1z+6twoD3QoUKHTx4MFNx\nt2/fVgYelQZOWWkIeVEosZP1PW2jTZel6Nixo1RKamrq66+/nuVCrB4eHr/++mumGl67du3o\n0aPBwcEnTpyIiIjIj78BPTUMBkPDhg0zXsDW59MYheUPAbgA00y3tisN7LKed771xUEy3mUV\nKixYsOCp3TiuZcuWUj2H2BPYhQgXePz4cUdfBGkTAzuiDGFhYbNnz27fvr042mkxcB1IFDYT\nKwuEZfXxfUjocAkMDMzU0zRy5EjlW3O39ZNEmS6JXByYApwXEoQCU0zHNvn7+2cakH7q1KlW\nrVpZ3H2rSJEiI0aMYDscmTty5Iira8akGh3wrqXFjSOFF3lJ4BCQJkyd9gTOWX9t/wTY6vUX\ntG/f/sGDB46+HxaMH5+xKYwX8Fh1YDddvq5MS0kT5SKdkXubEAEAzpw5M2PGjO3bt5tv5ugL\n3JSPtwGdAQDJQIrZjpCKb4EP5ePg4OCXX85YwDUlJaVMmTKJiYkA3gYW2qzSFeAV4Krpk86A\nJ5AAPDZ9vkaNGlu3bq1WrRrMxMXF7d279/LlyxEREc7Ozn5+fvXq1WvRooWLi4vN8qngWrJk\nyfDhw5WHJYHewMuAH5ACXAK+kt8UTkAw0BZYBQyU0y81HbogWgSMBJQvnuJAN+BFoBSQAlwF\ngoBzQvrAwMB9+/YpUzqeEocOHVIa7eYDY1VkeQhUA+4BAHr27Llhw4a8qx4VaI6OLIkcLzEx\ncfDgwWq2j6wDfAe0EebMOgNVgHeBQ2aDaSrKaUaNGqWUtWPHk23f/1HxL/49swFJFvXs2fP+\n/fsOvIekPX/99ZeyJJANI+TXah/5mbrC2NNMPwcB5Z+JQsB4K6vlBZmu5zJo0CBH34zM9Hp9\nnTp1pOqVBq6peC+/LVzR1q1bHX0FpFkM7Kigu3PnjrLDmKIkUBXwzmoYUCavAJeEz3FlLRN/\nf3+luFmzMtYD9rZnH9jDVpaTKFKkSJ8+fbKxKjKRGiEhIa+88ortl32I/CpVYsDpVl7GqUB1\nOY0zsNHma/6u6YLbW7ZscfTNyGzLli1K9Z63GdsZhHX+ALRr187RdSct416xVKAlJSV17dr1\n1KlT0sMiwCTgAhALhAG3gbvACqC2urNtA+oDS+WHTeQDaf6BdHz79m3poKo9+8A2B9rKx4GB\ngTNnzlyyZMmePXtiYmL+/PPPwMBA1WciskOdOnW2bt16/PjxDz/8sHr16k5OTtLzyso4foDU\nbPUAeCjnamJ2HskvwBX5eI7pzi7mvIAgoJz8cMKECQaDIVsXkVdeffVVZbzseSAAWADozZKd\nBzoCn8kPy5QpI06KJ8p1KgewEmnT2LFjT548KR03AdYL/aeSEkAnYJrwjA5oB/QEKgOuwD3g\nILAOiAEApALDAQMwXPhOSk1NjYuLK1myJIDHjzOGxtnVFgihA6tSpUoTJ060MzdR9jVp0qRJ\nkyZz5sx5/PjxnTt3XFxcPvvsM2lPrSpyGnFP+7JWzqNsO/Yi8K6Kcn2AOfK4vQsXLhw+fFgZ\n1vaUmD9/fnh4eHBwMID7wCjgU6Cr6YfDSWFAYZEiRdatW1elShXrpyTKKQZ2VHCdPXt22bJl\n0nEzYI+lRYb1QD8gTH7YAFho2kME4DVgFvAl8I3c8zIaqA3EyQmcnJyUtf69vTM2bY+0s7a3\n5AMfHx9b6YjyjLOzc6VKlQCkpKRIzygzGsSxeA9hQQRwVj4epbrE14D35QkHW7Zsyd3ALi4u\n7uTJk9HR0UlJSaVKlfLx8clyme5MnJ2dt27d+sEHH/z444/SM/eENvtMqlSpEhQUVK9evRxX\nnMgWdsVSwTVz5kypc8cTWG8pqgOwDNgnH7cD/mcW1UmKArOAFfI7Kg14Gzgv/7Zs2bLKt4Uy\na/WqMNM2Sw+BM/Jx9erVbSUlynvK/ye35We8hHaCi5aynBMarjqpLsgJeEk+FvexzaHNmzd3\n6NChbNmyHTp0GDRo0MiRI/v27fviiy+WL19++PDh//77r/pTOTs7//DDD3v27FE2GTPn4eHx\n6aefnjt3jlEd5QO22FEBlZKSsnXrVul4LOBtKU2q0An7HLBBmAxr0RtABPAxAOA8kCA/36xZ\ns4iIiJiYGGdn54YNGxYuXFiv1xuBxcLIG9uWA2nycZaD2YnyWtWqVaWD88A9oAzgBDQBjgAA\ngoARZlmUELC4pb1PbFDW74mMtLeZ24KwsLDBgwcfOXLE4m/v37+/ZMmS5cuXjxgxYu7cucpi\nfllq167d6dOnjx49unHjxlOnTsXExKSkpJQtW7ZixYpdunTp2rVrqVKlcl55IjW4jh0VUPv3\n72/bNmNCwlnA4v/Rm4Tx3TuFDWRtMAABwN+mT7q4uKSlKYEZXF1dU1NTIS/imuVwmztAPXkM\nX+PGjU+cOKGiIkR5KCoqqmLFilKD9xx5ycbZwH/kBIeB5qZZfgLGAADKyC9mlT6T/7+qVavW\nhQsXclBrHD58uEePHvfu3ROfdAPcgYdApqkZLVq0CAoKKl3aVhT64MGD4sWLW1wAnMhR+HKk\nAurWrYxBa25WojoAymIG/uqiOgCFgLfMnhSjOgBSVAcgAegsjx+yJh7oKXwRfvnll+oqQpSH\nvL29W7VqJR1/Jc+cGCg0aY8EHplmUUaG3gdS7CkrQjlDzkaXhoaGvvLKK0pUJ83MuAEkA7GA\nHjgGjBVmKR06dKhbt27KaEKJ0Wjcv3//e++9V6tWLXd391KlSrm5uVWtWnX48OFbtmxJT0/P\nSQ2JcoeDl1shcpDZs2dLbwFf66tPNZXfJmNVLzhnFGZaqFQBOGO26tUJYDLQTdh2FkCnTp0c\nfduIMuzfv195ZTYH4gGj6fzxFsA94VUtjo/bZs8byl/O9c4772S7tgkJCZUrV1Yq8DaQaKW4\ny6b/6b399tviJTdt2hTWPffcc+vWrcuNu0uUfWyxowJKWVLf4gw+SZR8UNmeM/sCTsLD6sB0\n4ChwFbgI7ALeM11tOBIIAPoBq4BQYCFQGWgCfAlsBuKFlDt27Gjbtq214UFE+al169Z9+mRs\nNnEEaAaEAJMAZdrqISAA+AOQWrHqCHsfq1/GbZ/wn9Krr76a7drOmzfv+vXr0vEkYCHgYSVl\ndeAIoCxZvnjx4pCQkPT09HHjxrVp0+b48eM2Srl06VKfPn0GDBhgvi0hUb7hGDsqoLZt26Z8\nT0QK/UQiHzm2mweMU31mA+Amb+T6OvCbpSXrYoD3gDV21lkxZsyYefPm2bUuA1Gui4+Pb968\neWhoqPTQCegPdAY+FxYiBlASaAFUBf4nT+7WAXuENbetSQGayyNWS5UqFRER4e5ucfJ6FpKT\nk729vR8+fAigHbDbdG3wh8BNIBooC/gCJQAAEcBzQCIAoH///iVLllywYIGSpRzQCwgEvIEY\n4B9gPRAunLNTp05btmxR1nMmyleObjIkcoyYmBglMPrBSqdMI/ltMt6enqMI4f11wGbKj22+\nN0sC3YG3gSHAy0Cm6XmdO3dOS0tz9F2kgi4yMtJ276Q1ZYALNt8deuB1If2cOXOyXcnNmzcr\n5zkmnz8SmAQ0MNsAph4wAbgJTJKfEefGugKzgGSz2qYDa0xXZh4/fnwu3mci9dhiRwVXu3bt\n9u3bB6AycMkscgLwBrAaAFBPWFs1S8uAIQAAHXAbKG89pQF4Bdhp9nxlYDrQ17Sp7xHwAzBT\n6Jx95513pNX/iRwoJSVl8uTJP/74Y6Z5BlkqBawALC7eEwm8DWyXH9arV+/EiRPqFx/JZOzY\nsdICwtWAK0A6MBP4Sm6Qs8gDGAwsMH2yJLANsLF/3zXgJeAaAKBQoUJnzpypX7++7boZjcaz\nZ88GBwdfvnw5MjLSxcXFz8+vfv36nTt3VhYLJLKPoyNLIofZsGGD8kYYbanNYLXwTjmirrnO\nADSTszRWkf6i6YA8AK8CD62nvwTUFBJv2LDB0XeRyGg0Gm/evDlhwgRl/W1FhQoVXnzxxW7d\nujVv3vzFF18cMGBAw4YNxQQvAQuAf4AYIAzYBAwVNrQA4OXlde3atZzUrUuXLtKpBgP3Vc9w\nh+l7sxCwR8U7+rwwNfiVV16xUSuDwbBmzRplRcBMdDpdp06dQkJCcnLhVDAxsKOCy2AwiL1I\nHwB608/oOGGWQ1MgTcXH+nLho3mOulhQ7Mdqo6KU28KIwCpVqqSkpDj6RhI9cf369QMHDqxd\nu3b//v3h4eHmCdLS0kaNUrupWLVq1UJDQ3NYpcaNGyvvcbG9rRDQH1gFnAdigYvAGmCglYX7\nh6gejKGsSKTT6W7dumWxSvfu3Wvfvn2Wl+/k5PTZZ58ZDIYc3gEqUBjYUYF25cqVMmXKKB+j\njYE9gEH4jJ4ufMiOANJtfqCfAIrIiSsBSeq+BlrIWVyAq+qyLBNqxUY7ehatWLHCdldjoUKF\nhg4dGhsbm/Oy2rVrJ52zlnD+msBZ661uz5vV57jqwO6u0NT3yy+/mNcnPDy8ShWThck9gZeA\nocAAoJFZK36fPn30en3O7wMVEFzuhAq0atWqBQUFlSghzYTDSeAlwBfoB4wEBgObhMQLgW6m\ncyMUBuAXoLU8akcHfG9l81lzyvzBgcKSXbYNBJT+m6CgIHWZiJ4iAwcOvHz58jfffNOqVatM\n87v9/Pzeeeed06dPL1mypGTJkjkvS4kglU1s6wNHrK9MXhs4bLordBErm0Rb5CWslmK+v21C\nQkL37t2vXbsmPawGrAXuA7uBJcBq4BRwF5giLMiybt26iRMnqi6fCjpOniDChQsXunbtGh4e\nnnVSwAMYCPQAKgOuwD3gILDcdP3VCcAsdUXfEbapDQK6q67zeGAuAKBatWpXrlzJIjXRUyw5\nOfn69et37tzx9PT09fUtV65c7p5//vz57733nvKwOBACVMoqVxRQF7gPACgibP2sxgB5MaNe\nvXqtX79e/NWoUaOUlVM6A2ut70D9N9BF2GM3ODj45ZdftqcWVEAxsCMCgOTk5B9++OHrr7/O\ntI9k9pwU/mW37YywqMpV1S12AH4DhgIAPDw8EhNtTO8jKuhu375dsWJF5cvuC2CyuoxzgfHy\ncQRQQXWJg4EVAICuXbuKi61cuHChXr160s5jLwPbLC1yKfoXaAY8AADUrVv3n3/+4b60lCW+\nRIgAwN3d/T//+c/t27eDg4M//PDDbt26NW7c+KWXXho6dOiMGTNUnkR5O223lcpEnHBcQnUu\nMXFSUlKmvWiJSOTj46NMxdUBw1RnfFOYSLHVnhJvCUWLz//8889SVOcGLM4qqgNQUxjmGxIS\ncvDgQXtqQQUUV64nesLZ2fnll1/O1N/xxx9/iA+7AWeBG8IzrsDLQH9gEyB1uvwMfChMpLBB\nHLF3Fyituqp35YOSJUu6uLjYSkpU4DVp0uTMmTMAalnZZsai0kB94DQA4AQwQl2uJEDZd6x6\n9erK80ajcdOmjFG7gwFfdWd7C/hS7pANCgpq06aNunxUcDGwI8pCy/llmgAAIABJREFUVFSU\n+PBboCpwF4gBUoCygJe87FZRObCLAqYDWTb0pQLfCg9PmM7as+2EfFCpUpaDhYgKOqmdDPZ0\np0oqyYHdUdPnQ4A/ga1ABHAXcAO8gMZATyAOSJaTde3aVcly/fr1W7cy2vJ6q66AM9AV+AUA\nwBY7UoOBHVEWMo1gKw4AKGu6fZCkO9BM/gKYCdQE3rR+2jRgOPCP8MzvNtOLkgBl2A7HUxNl\nydk5o9vzsZ0ZlVEO/wJXgOrAv8AkIAgQx6enALeAW8AGYUhGQEBAjRo1lDS3bysTIVDHnjrU\nlQ8iIyOzTKzX6+/evRsTEwOgbNmyXl5e3FS6oOHfmygLmVbbstFhqgMWAC8CCYARGAKcBD4H\nSpmlDAVGAkdMn9wJHABaq6jSHCBGPu7Ro4eKHEQFmjLWLczOjFflg3SgC/AeMB5ItZnFIB9k\nWqMkNjZWObZrERcl8YMHD8x/GxsbGxwcHBERceLEiX///ffKlStJSUlP8pYs2bVr14EDB6pZ\nD5m0gbNiKb/duHEjKCho165d169fj4qKKlOmjK+vb9u2bXv27Fm7dm1H186CAwcOiONafsuq\nXW0D0A9Ilx+WAHoDbYGywGPgFrAF2C4kKAekAA8BABWAY0BFm+ffA3SWGx5atGjxv//9z+5L\nIipgtmzZovSKnrW+gl0mYUDmLdIEnkBXoCVQBkgFrgGb5H5bSb169Q4dOlS0aFHp4fHjxwMD\nM3a+uKF6jB2AecAHAAAfHx+x0e7IkSNffPHF7t279Xp9lidp1arV/Pnz69VTeen0LHPo8shU\nsFy5cmXAgAE2put36NDh5MmTjq5mZmlpacWLF1cq2VHF0vMHLXXUWhQIRJqOtKsMnLd+5vXC\nsqWFCxc+fvy4o28P0TMgJSVFCbDeUL2HxFvye838U2sUEGMpy07TWLB79+7KhmBiTLZWdR2M\nwGtyrmbNmkmnSkhI6N+/v7rPmCdcXV1XrlzpuD8C5RMGdpRPFi5cqGbypk6nmzhxYnp6uqPr\na2Lw4MFiJfer+CwOB2w3P7oCU+VtxwxAX9NffQj8I2xulgrsB3qZnmHevHmOvjFEz4xhwzLW\nOXEC9ql4Cx8Wxir169evVKmMIRWFgOU2Mz4wHVCxatUqpQ5Kp0RP1VFdnDyuF8Cnn35qNBqj\noqIaNGhg8rEJVAYaAc8LiZXaiusoOTk5/fXXX477I1B+YGBH+WHmzJniZ40z0AGYCiwAvgB6\nm60MMnz4cIvn0ev1+/btGzduXKtWrWrVquXv79+sWbP+/fuvWrUqLi4u7+p/+fJlZfA1gArA\nraw+joOFbwUPDw/zoNYJmA6kyekTgFeQWXGgLvCcPOv2yee4Tjd58uS8u14i7bl165a7e8Y+\nf17A3zbfv6HCqiguLi6zZ89W3n1fqIjG7gF+cno/P7/U1FSpDp988okSiqncfFYcpnfq1KnE\nxMT69euLHxFfADeF9GnADqCVkKsQMADQyQ+LFi16/vx5x/4tKE8xsKM8t2nTJqUjwwn4ELhj\n9uEVD8wQOhkBzJkzRzyJwWD4448/xClmmXh6en766ad5F959/PHHYnGVgBPWP4uXCqGYq6vr\n2bNnjUZjXFxcYmLiqlWrdDrlMxY1gR+Aa4ABSAc+VDGhqUyZMmvXrs2jyyTSsJ9++kl5H3kA\n3wKpZm/ex8CPptt8zZ49u3XrjDa4WoBeXUAm7iO2detWqQJRUVGenhnn9gdiVfx/6CSfpGPH\njkbT3oMXgSjreX8ClP8miwFzhdiuc+fODv07UN5iYEd569GjR15eXhkhjrxGgLWf40AZ+aPH\nxcUlLCxMOsnDhw87deqUVcADAD4+PqdOncqLC9Hr9R07dhTLcgKGAkeFDtNk4C+gjWmVli5d\nmulUP//8s9j+p9wcD2ShfPnyEyZMePDgQV5cIFFBMHr0aPE9VQF4F1gCrAWWAO+bzWkYOnRo\nbGys8ob9TnUXqkHYjnb06NFKBaZPV/aSQB3givUz/CF0Zbi4uJw9e/bcuXPKv4UB8kAOGz+r\nhQsZImyPBuDw4cMO/CtQnmJgR3lr6tSpykfJShWfhgeF/zJff/11o9GYlJTUrFkzk/gGeAv4\nHPgK+BB4wfSDuHjx4nk0A+Phw4cdOnQwj7c8gcpARbMO00KFCn399dcWT3Xw4MEspwCXLl16\n2LBhkydPnjZt2m+//Xb69GllFDYRZdu8efPU7Ljq5OQ0c+ZMg8Fw6NAh5cmrqgM7o7BTxYsv\nvqiUnp6e3qVLF+WE7sBE0/BODxwAXjWtzKJFi4xGY4sWLaSHbsA1dXVQ9k8rBFwAvOSHY8eO\nddxfgPIWAzvKQ3q9vly5ctLnSFfVn4YfCh+sd+/eHTBggPLp5g0sBdLNspw2HVNSsWLFqKgo\npRppaWmHDh1au3btL7/8snLlyuDg4Gz32D5+/HjSpElqFvwsU6bMhg0bbN+cZcuWtWvXLtPZ\ndDpdQEDA3LlzExMTs1dJIrJtx44dyu6xFjVq1Gj//v1S4rVr12Z8Iqnuh5V+vpbPVrlyZbH0\nhw8fmu8MVgl4AahrtuxloUKFZsyYYTQaExISlHj0fdV1iBJ2pP0eGGOlSqQlDOwoDx09+mQb\nnj2qP4luCmNBxH6TAOC29Vx6ISIE0KtXL6PRGBoaOmjQoJIlM68G6urq2rlz5+Dg4Oxd161b\nt95++21l9YRMKlSoMH369Pj4eJVnu3fv3oEDB5YvX7506dLg4OBbt25lr1ZEpJ7BYAgODh41\natRzzz1XrFgxAJ6enjVq1BgxYsSOHTvEifkrV66U3touwrgLNT/KMkY+Pj6ZSk9NTR05cmSW\nDYflypXbtGmTlGXOnDnK84ftqUZbOVd3YeSfTqdLSUnJv9tN+YgLFFPui4+PP378+M2bNzdv\n3ixtel0cuGfPPicN5b22PDw8pFXUiwFfAa8Kc80sGgCskY+7dOmyfft2ZY9Ii7p06bJo0aLy\n5currpqJ0NDQ4ODgsLCwpKSkEiVK1KtXr2HDhuKcNSJ61u3bt69du3bScbTqJSoBfARIsVhA\nQMDJkyfNE5w9e/bzzz/ftm1bSkpKpl+VK1furbfemjhxovIPZIcOHYKDgwHogGTAVXU1Jspt\nh/WBhUBT+flr165VrlxZ9WnomcHAjnLTli1b5s6de+jQocePTbZkrG+6KWqW2gO7rfzqBWA0\n8KaVMDEOqAbct/QrJ6AYkGS2HVCFChWCgoICAgLsqSARFRQ3b97088v4j/J3YbngLDUCzgAA\nBgwYsHr1amvJ4uPjg4ODb9y4ERMT4+zs7OXl1aBBg+bNm2dqz6tSpcr169cBlAAs7Cxm3Rzg\nIwBAOWA90EJ+PjIyUtlpjbSEe8VS7oiKihoyZMiuXbss/jbL+Z6KJGCU9agOwBngLeAbYLXZ\ntAkAJYA3gbnCM27ASGAg0Eju4b0GrAPmANEAgMjIyE6dOp04caJq1aqqq0lEBYWvr2/dunVD\nQkIA/Ko6sDsN/C0fv/rqqzZSFi1atFevXjYSSB49eiQdxAN6e768lSjQHbgmHzs5OSkDoElj\nsp4ZRJSlkydPBgQEZIrqPIU10O+oO0800BpYbvpkSaAq4C0MAQbwL9AK2GzpJFeF4wDgIjAP\nCBDG7VUB/gNcAQbKz9y/f79nz/+zd51hUVxd+F2Wjigau4g9dmOJXWPB3sFgV6zYezdR1Nh7\niUaNGokdWywJGqyxxa4fttgrglhBurv7/RjmemZnZ3aGIqjzPvd5GGZvn3LPnHvOe7zMtIwa\nNGjQwKFdu3bcwSGJ144ZDMBwgNsOc3FxadZMzD6uGmx7zQDcUFMwhD/IChzgj0uVKqXX6y0X\n0PCJQxPsNKQUDx48aNasWWhoKPevO7AYuAtEAczx4QHwxFo9MUBL4Dz/rwswHrgOvALuAqHA\nc2A9wCLpRAPtgBPCSi4C+/jjqsA/QEGJ5lyB9cRH7H//+9+KFSus9VGDBg1fIoYMGZIzZ5Jx\nXXcFctUY4Dh/PHLkSLH/VjLg7u7OjncqLhVFNkCKA4H8sRIdoYZPFJpgpyFFMBgMbdu2ffHi\nBfdvR+AWMATgNjXL8NlMQIC1qgYBzLq4CnATmAGUJBncgC7ARWAGr36LB7yEFnVTACMAIBOw\nHXCy1uhCgHEeTJs27f3799ZKaNCg4YtD5syZWVSx10ANYWAJipdAc2INkidPHi8vr1TpA427\nswR4o6zUHCCGP34MJAAA7OzsOnfunCq90pABoQl2GlKE9evXX7zI2QfDF9golKVo/K/ZwGPp\neq4Qya86cBRwl8ipA8YTHoEXwEz++B3ANoMHS9dAYQfM4I+fP39OmUg1aNCggaFr167Dhg3j\njt8A3wO1gTXAbeA18AwIBmoDuYC/SKlnz55VqFChaNGikyZNioqKSkkHqKHeK6ADYPUz9CDA\nonTbAyf54z59+hQrViwlndGQkaF5xWpIPkwmU9GiRe/duwegDHCBBI3g8BLIyavQAFQGjpAg\nORSMpiQTcAvIo6D1tvx+hCPwDHAD/gQYofsNoISyURiBfLwV4NixY2fNmmWlgAYNGr5IGAyG\n8ePHz507N3nFc+XKtWzZsrZt2yaveERERIECBWJjY9mZzsAaad6TI0BbS/6zRYsWPXPmTLZs\n2SyU0fBZQNPYaUg+Ll26xEl1AKaIpDoAXwHVyL/ngJrATVG2OOBP/niQMqkOZEOWFX/A/5RD\nsVQHwAaoyR/fv39fLqsGDRq+YOj1+jlz5uzYscPDw0M+pw2QT/QqCw8P9/Hx+fHHH5PXeo4c\nOYYOHUrPbASqAEGAGVfnHWAA0NiSVOfm5rZ7925Nqvu8oQl2GpKP/fv3cwdZiKrMDO2E/14B\nygF9gMMAty0RDazjjwF0hFIUJ+ZxwQCI761C0ZCB5X/27JnKoho0aPiy4O3tffPmzcWLF9ev\nX9/eXvA9qwPaAweAd8ATIBSIBLaS2A8mk2n69OnMXE8txo0bZ8bK9D+gGZADaAL0AtoDZYBi\nwC+A2Mm/ZMmSFy5csBqlWsOnDk2w05B8PHr0iDv41pK6joMfkF94JhFYDXgCmQEdkAnoz//k\nCJRT04Eq/AFnvce2KNRasrD8UlHCNGjQoIHByclpyJAhhw4dYtHGAGQFDgJbgEbE1NgVaAcc\nBrYROs9x48Ylz5w3S5Ysu3fvFr+mXgMHgLVAIHDNUkFHR8fhw4efOHFCY+v8EqAJdhqSj/Bw\njuIXMjSXTsBiwiEnD+WxeszyhwPHgFX8v0+BaDX1/Mcf5MuXT2UXNGjQ8IUiMTGR7au6AoeB\n+tKZvwf+4j+ADQbD6NGjk2fgXqZMmYMHDyp/U3l4eCxcuPDu3bsLFizQdmC/EGiCnYbkg304\nRspm8wLMjEqk1HtvVXaA5Q8H6hHFWwIQpLiSMOAsf1ylShW5rBo0aNDAY+vWrbdu3eKOlxOK\nTSnUIT74//77Lxf4NRmoUqXKuXPnfHx8dDq5T2Y7O7s2bdrs3Llz2LBhWuiwLwqaYKch+WBf\njVbpOqcAk4neLkEi21sgVE0HWLsveJJ3hp+IN648pvE59Xp9q1at1LSvQYOGLxfbt2/nDsoC\nnZQVGUxMU1jxZCBPnjyBgYHHjx/v0qVLpkyZLOZJTEz8448/Kleu3L59+4cPHya7LQ2fHDTB\nTkPyUb16de7gLvA/2Zw6wB/YBxSxVucuxa2/AY4Jz9C7+X+AEvtkuoHbqlUrRi6vQYMGDTIw\nGo1M5dZJ8VJqD/jwxwcOHJDLqgDZsmU7ffr0u3fvZPKYTKbAwMAyZcrs3Kk8XIWGTxsaj52G\n5CM2NjZHjhzR0dEAvJRFuYkHShBeEgZ7e/uEhAQABYGb0sxMFOMJ92YeIEa0k2sDLAP6Sddw\nEmgFvAIA2NraXr16tXjx4gpa1qBBw5eO8PDw3Llzc8dHgTqKC27nZTu9Xh8XF2dra5u8Djx6\n9Khq1aphYUlkAHqgCdASyA/YAc+BI8AOEqBCr9dv27YttcJgaMjI0DR2GpIPJyen7t27c8d/\nAEr2FVYSqW7EiBFHjhw5derU06dPN2/ezJ18AIxQUM9xErQnNxBOpLqaNWs6ODgAMAL9AV9L\nYWpjgKmAJy/VAZg9e7Ym1WnQoEEhmOsYZL3HxGCZDQbDnDlzuA9atYiNjfXy8mJSXW3gCrAP\n6As0AxoCnYHVwF0SsNtgMHTr1u3aNYtesxo+L5g0aEgBwsPDM2fOzN1LLsBewCSdfgPs+BvP\n3d09JiaG1WM0GqtWrcpuy+HAe+l6ggEp5y5vb++oqKiAgAC9Xs9O6oFqwGBgBjAKaEJ4Bzj0\n7ds3HedQgwYNnxwomflZ2feeWdonfPkULlz43Llzalv/6aefWA1dgARrL15m31yrVq20mA0N\nGQqaYKchpdi+fTtzztIBxYC6QFPAF5gN3AJMwF2gPXmX2dvb//PPP2b13L59O3v27CxPZeAQ\nYBS+oZ4C/QGLWxdclG6j0cjVduDAASW+/Xq9fu7cuR99zjRo0PBpIy4ujr331qkR7MTxyJyd\nnf/44w/lTUdERDBGgqpAvIJGx5LmVLWl4VOEJthpSCmMRmPnzp1lhCdXIY+dra3tb7/9ZrGq\nEydOuLm50bLugA/gB3QFqkuYDhQqVGjMmDHh4eFmtYWFhfn5+VHVnRkaNmx45cqVNJ8gDRo0\nfI6oVKkS9yZprUawYwEMKcuwo6Ojcr3dihUruFI64LyyRuMBRkzs5eWVptOiId2hOU9oSBHe\nvn3bvn175e5d2bNn37Jli6enp1SG69evt2zZkoWglYJer/f19e3cuXPevHlLlJALDBsaGrp/\n//6jR4/eu3cvLCwsa9asHh4e1atXb9asmRZaRxWeP3/+7t07V1fXHDlypHdfMjTevn174MCB\noKCgGzduPHr0yGQyeXh4lCxZskmTJk2aNDH7dNHw6WL69OkcQbEOOAdUUlDkb6Axf7wCeAZM\n5ama8ufPf/36dSnuEorWrVvv2bMHQDXgtOLeTgX8AQCurq4vXrwwC4am4bNCekuWGj5hhIeH\nm8lGmYGWQG+gB9AYcBTebO7u7k+ePLFabUxMzJw5c+i2LIVer+/QocOtW7c+wgA1REZGLlu2\nrEGDBnZ2zDwS9vb2jRs3XrlyZXR0dHp3MGMhPj5+/vz5WbNmlXrfurm5zZ07Ny4uLr17qgix\nsbH3799/+fJlMspGRkZu3bq1U6dOFStWzJUrV968eWvUqDFw4MCDBw8mJiamelfTBY8fP3Zy\nSgoeVgmIsaY2ew0U5e+Er4DXgIm49gOYNGmSknZZWLApajSFZ0hD//33X1pPjoZ0hCbYaUgm\n4uPja9eu/UFoA9YCccJXSRQwF6AKii5duiisPyEhITg4eMCAAQ0aNChfvrynp2f37t1Xr179\n/PnzNB2XBg5Go3HJkiXyyrk8efKsWLGC2TVmEERHR+/cuXP06NG+vr4+Pj79+vWbOnXquXPn\n0rqf9+7d++abb2Smi6Fs2bJ3795N084kG+/fvw8MDOzatau7uzvrcKZMmTw9PefNmyc2eBAj\nKirqp59+ypIli9TwCxcuvH79eoPB8BGGk9YYP348G1dz4K20XBUO1CKTsJA/bwQakHmmLmUW\nYTQaHR2TPpl/VyPYPSetHz58+OPMj4Z0gSbYaUgmJk2axF4TnsBL6RfKPaAseaf8/vvv8jXH\nxMSsXr26WbNmHGsJB71eX79+/SVLlkRGRn6cAX7JePv2bZMmTZTIKADatm2rVnVnMBiOHz8+\nYsSIOnXqlCpVqkiRItWqVfPx8QkICEiefohDaGjogAEDnJ2dLfazUKFCv/76axqpi+7fv58n\nTx5hg+WAwcBiYDEwBChPbU1z5cp1+/bttOhJSnD48OFy5crJXOvMmTPPnDkzISFBqoZz585R\niVAGtWvXDgsL+5ijSwvExsZWq1aNDaoIsB0wCF+A74EAgIb0aiL0+r9IfrLq2WA0Gtku6gY1\ngt1L0srBgwc/zvxoSBdogp2G5ODBgwfsq7EKEGvtnRJOAunkzZv33bt3UjWvWbNGPr51rly5\nVq1aldG0RB8BBoPh1KlTAQEB8+bNmz9//u+//37mzJm0mIeEhIQGDRoIZ70msAQ4CpwHjgIL\ngWr051atWilXwOzatat06dJS19fFxcXf31/mDpHC5s2bXVxcZO4cDuXKlbt//77ayuURFRUl\nlIe+BU5J7IZVZplKly6dcb5SDAbD2LFj5WOPMlSvXj00NFRcydmzZ5m3Jo+ywEhgKbAA8AME\nMl/x4sVfvHjx8QebuggNDS1SRBBSJzfQFRgFjAQ6Al8JZ+QbfhOWJlZ+8ODBVlssUKAAl3mW\nGsHuMunD9evXP8LMaEgvaIKdhuTA358zw4Ue+J+y18oO8lqxqLSLiYlp166dknUFQLNmzV6/\nfv3xB54uCA8PHzFihEghBADu7u7jxo1LiZZLjH79aLQOd2C/xCXdTZlZJ06caLXmuLi4rl27\nKrm+RYsWDQkJUd7nmTNnioSS4kALwAdoIDQHQM6cOS9evJiCGTLHuHHjSPVestZWsSSmFEaO\nHJmK3UgJRo8eLZq9ccAu4AzwN7AYaEq90kuUKPHmzRtaQ2hoqPCTrAFwTjR8I7ATKMYyeXp6\nfgYmdxEREbVq0Y1WSTQHIi3dFh34DG3atLHaXMOGDZNmT41gx0IsOjg4KFGxR0VFZZwPDw2q\noAl2GpKDChUqcO8IH8WvFSPZkPX29jar0Gg0mkl1lYB5wBHgPHAMWAbUFb4i69SpI7Ml9Nlg\n6dKlVh3lsmTJsnr16lRp7uzZs0RCKgU8k72qj5muwdbW9saNGzI1x8fH16tXT9jxHEBPYAow\nCxgFVKablZkyZTp+/LiSPgcEBJA6dUB74KqwnwnADuCD93TevHkfP36cKjP29OlTsvlbE4gD\nooEzwF4gEDjMkzmyFA98x+V2dHTk3GbTFxs3biQT6ASslCAIv0CtKpo1a0YVxu3bU6rKgbIU\n46+AD+a5P//8czqOPbXw/v37NWvWyFgWFge2iog5WRrCbqCaNa22tXjx4qSHDrih7PWbCJTk\nm2jatKlUzbdu3Zo8eXL58uWZU4ijo2O5cuUmTZp08+bNVJ0wDWkITbDToBrv3r1ja/96NZ+M\nzCgvd+7cZnVOnz6drvY7JGo4CBQg78oBAwakywx8HBgMhv79+4sWCGegAOAhCp+BkSNHpnxn\ntnFjxsaQSSSRWEz/Y97PYnmdolevXqSzOYBVQKKl2j7sAufMmfPhw4fyHb5z5w6xxXQBtkt3\nNQ7oySqvV69eCueKA7l1bYG1gJf40gDFgAnAc74n91g85MmTJ6dKN5KNyMhI4iKTCTgpe7nf\nUh+Abdu2cZVcuHCBfA+0kxZgWHoNJEXwy5UrV1RUVPpOQmph7twk+mEnoCpQDWgJjAZOiQzv\nzBLTY7ds2dJqK48fP2Zmdk0VzLWJBGAEEBAQIK7z1atXgwYNos7vZrC1te3Xr19EREQaTJuG\nVIYm2GlQjVu3brGn/ZIawW4bX8rGxoYq2+7evcvW5gLAfdlKIgDmeajT6f799990nIo0hXB3\nTAd8DxwhipBE4CDQmr58Z8yYYTKZjEbjq1evkiHkPX/+nPA5K+dSSKK1t7e3l9of52i3eJQF\nHkrXZgR+ZFkbN24s32cfH7azaQ8cU9DbDxvNe/bsUTtFYhDbecsEPQTOQA9gK/AXkLSbVqlS\npZT3ISWYMmUK6eEfCibwBfu8Kl68OGdb2bt3b76GbJZMyCymf1irFkWNTxEs5rVe1p9MnMrz\nU9GvXz8lDQ0bNozN3nhrlR8ksRxLly79/v17s9rOnDkjb9nMkCNHjiNHjqT+xGlIVWiCnQbV\nOHv2LHvO5YUw8fuFgZqFderUiTtpB1xQUM89IDNfT506ddJvJtIQ27ZtI7OVHTgoPR97mQ2Z\nTqdzd3fnpGR7e/siRYp06dJlypQpS5cunTdv3ubNmy9cuCAj8K1bt45v0QYIU3xh77OObt68\nWVxtYmIiIZHOCTxSUOcH1dqBAwekOvz06VMbG2b4NURZb6OBpDWsQYMGKbxM1EUxebCxsUlf\nIzNi+N9U8RX/sHV76tQpg8FADEAVXgUuJXH6fv/99+k4A6mIR48eMc3lWsWzcJeYIGzYsEFJ\nQy9fvixYsCC7Ch2JNpimBGAukepsbW2PHj1qVtWlS5eosYcD4AP8BgQB+4F1QEehCtrJyekz\n/pz+PKAJdhpU48GDB+whP6PmLc5WA3t7eyZeREdHMxOl/oqrmsZXpdPpUstYKuMgPj6eLLeu\nIosxcToPOCkRIwC4u7sPHz7colfj2LEspGQFNRfWxIhXLW4sCgOTBCir8B2QJCu0bt1aaqKW\nL1/OV6u3Zg5I0yKujJ2d3atXr1JypZ4/p+xgHHICPwFXgVjgHdBVIhLeB/j4+EhZqd+4cWPG\njBkNGjT4+uuvs2bNyoWvmD9//r1791LSbYarV6+SjuxVPIHvmXpy3Lhxjx8/JpUEq7lt/Lky\nBQsWTJXhZARUrFiRG1QxIEHZLHTj587W1lb5DXnlyhUqkGUGBgN/AzeAO8ApYDr1UgEALF26\n1KyS58+fMx9bAK2BB5Z6+Bj4ntSTN29eiy8QDRkEmmCnQTXi4uJsbW2T3hRq3uJD+fdC4cKF\nWW179+5l74sQxVVFAGzLcMWKFek4G2mB33//nbxFFUpCP0tLDhbg7Ow8ffp0M+0dcVltqVKw\nSzKM69Onj3g4Q4eyK5/bkl3dI+BfIBj4V6jMS9oizJQpU2xsrMWJ6tixI19zHTW9fcTm4a+/\n/lJ+XeLj4/fv3z9mzJgOHTo0aNCgffv2bBXn0YN4PT4FzH6VRLly5cysCS9dutS0aVOp/Dqd\nrl27dmrt2RMTEx88eHD+/PmnT59yW6iBgYF8lXpLtEUJwBPgEvA/4JnQHyLJVaJVq1ZnztCg\nBvfVXIgNXBkHB4fPhsCIeqL0UDAFv5K569u3r6q2rly5UqiqoZ6uAAAgAElEQVRQISU3mLOz\n86ZNm8Q1kD10jLVmrjeZVKical7Dx4cm2GlIDph7Y03Fr/B4QmXn5+fHqpozZw53Mp9KUaKK\npdo+D3h7e/ODK6fMNtoEJAJf86XEKiJnwEKcq/bt21OZqVs3pjtoofJq1E8q1qLF1atXzfRP\n1atX56vtTYo8BMaQGEsMRYDRwEPgEjt14cIFixNVp04dPstAlR1O8l789ddflVyR169fT5gw\nQcbnEQAwhtQfJaTldgAGAP8AUfyvJ4GhVM9KCUT8/f2VUMrZ2touW7ZMSecXLVpUt25dYkAJ\nR0fHFi1aMCsIIA/pvBHYDbQXxqkHkAPoDfwDmIAkA9Bvv/32yJEjJE+4mquwiyuj0+ni4+OV\nXIiMD4PBwEgDAIySdZvYSuIuuri4KIm4aIawsLDOnTvL3y2VK1e2uHl6/fp1dkt4KXvRMFoW\nGxub1OUM0pCK0AQ7DckB87eH4v0b6pZF1STDhw/nTlZXuTIzm/kSJUqk41SkOoxGI2F5nalm\nSsbDHCWBX4EIIvwdBLoSdSc6duxoNBqfP3++cePGunXr8qfzAZeVNfoE8AcEdmY2NjY1a9Zc\nsGDB27dvTYRPFZgLmIB4YJQokrAZHAgFhKSXA6EF/lHl7ZOk55g9e7bVK7J///6vvvpK1EMz\n1BWu4JS7p5q0HushUJPl4zadhax4AJyANsBEYBbwA9CUedQC0Ol08+fPl+p5YmLi7NmzZWLX\nEuTlu3Qa+NZa5iZAH+6oUqVKN27cID9dUXMVlnFlsmfPntzHJSPi5s2bbm4fqBNrA8dFYtNl\noBMxrdPpdFu2bEl2i+fOnevXr58Z1aWzs7O3t/e2bduktKETJkxIygk8VXbBnhP75uHDhye7\nwxrSFJpgpyE5iIqKyp07N/d45wDuWHsdnCRrUcWKFWmUArZPV0PlysxWzkyZMqXjVKQ6Xrx4\nQV7Oh9RMySpS0Ab4ydK+J5euUN6YokWLUl0OQWFgkbSlUCwwVt62L3v27IsWLcqenbmLLgci\nKIeZNSQtfBZ3kUwmk6enJ5+zr8rbJ8k4ae3atfKXY/ny5aLJKQSIQ1xQB/FD5Hw9UQhlsxQP\nNGK5Bw8eTMraAWMtOZlGAGOYdG5jY7Njxw5xz589e1azZk0oBbcV+zNgqyx/UraWLVtGRUU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QoW7dumXLJtCvu7m5denS5e+//07HedCg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\ny3AKeHPnqXvNTH96HTfTFP7666+OHTtmypTJai1z5crVr18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/0m2WmA5rzQAAIABJREFULvH8+fOePXsqsz9mzpx59uzZ4i9AkU+kFdDv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Y00Opa9euH3dvpzswn2wA3sI0FQpoRt4XVLZr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\noyciAAzsiPK6iIj0LP1ugE3XiGrJgUu4tZ7DgbXAcQDAkiVLsjewu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1evbtOmjaOjY4Zna9euPWPGjKtXr+bwHVhFw4YNixZNrzGxRPVW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\nmBA7AIAJsQMAmBA7AIAJsQMAmAh2NfwqH6m/NQAAAABJRU5ErkJggg==", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "plot(1, type=\"n\", axes=F, xlab=\"\", ylab=\"\",\n", " xlim=c(min(y[1,])-.1, max(y[1,])+.1),\n", " ylim=c(min(y[2,])-.1, max(y[2,])+.1))\n", "\n", "plotp(x, 'blue')\n", "plotp(y, 'red')" ] }, { "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 <- apply(x**2, 2, sum)\n", "y2 <- apply(y**2, 2, sum)\n", "C <- array(rep(y2, each=N[1]), c(N[1], N[2])) + array(rep(x2, times=N[2]), c(N[1], N[2])) - 2*t(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 <- rep(1, N[1])/N[1]\n", "q <- rep(1, 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 <- rep(1, 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 /(t(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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Bqer6/CwhQWppkzJen0aaWkKDlZqalKS9Pu3e79K3ZUefXVyq+7ds6Li1O/fh4u\nH4C3ItgBwFUXHKyxYzV2rNU8flwpKZWvO8vNde9fUmI9nLdokSS1bauYmMpfnTp5tHgAXoRg\nBwCe1q6dJk3SpEmSVF6unBwr4aWnKzu7mofzTpzQP/+pf/7TanbrVhnyoqPVsqVHiwfQmBHs\nAMBODocGDNCAAbrrLkkqLdW2bda2eYmJ2r69mted7dunffv0j39YX+/Xz0p4MTGKiFBAgKd/\nBACNB8EOABoRp1NDh2roUN13nyTl5Sk5WUlJSklRSooOHXLv75rwy8nRW29Jkq+vhgxRTIxi\nYxUdrSFDeK0t0LTwNx4AGq+WLTV+vMaPt5oHDlgJz/Xr4tedlZQoM1OZmZWvtY2MtBbbxser\nWzePFg/A8wh2AOA1unRRly6aNk2Sysv1739XhryMjGoezjt3Tps2adMmq9m5sxXyIiIUHq72\n7T1aPAAPINgBgFdyONS3r/r21fTp0vc751XkvK1bVVzs/pWDB/Xxx/r4Y6vZs6c1kxcXp/Bw\nXmsLmIBgBwAmqNg5b8YMSSosVEZG5aYqu3ZV85Xdu7V7t9591/r6gAGV921DQ3k4D/BK/MUF\nAAP5+2vYMA0bZjWPHrUSXmKi0tKqfzhv61Zt3ao335SkwEBFRlp3bKOjNXiwnE6P1g/gyhDs\nAMB8HTroppt0001Wc/dupadr82YlJVX/WtuzZ7VxozZutJotWigysnLzvD59PFc5gMviZcFu\n165dc+bMSUhIOHz4sKTc3Nxnnnlm+fLle/fuDQwMjI2N/dnPfvbDH/7Q7jIBoFHr2VM9e+pH\nP5KkkhJlZ1traZOTlZ6u8+fd+xcUaMMGbdhgNXkTBtBoeVOwy8jIGDlyZEFBgauZn58/YsSI\nbdu2uZrnz5//8ssvv/zyywcffHDRokUOh8O+SgHAa/j6KiJCERFWs6hIGRnWTF5WlrZtU0mJ\n+1eqfRNGbKy1T3JIiOeKB+DGm4Ld3LlzCwoKwsLC3n77bUlPPfXUtm3b2rdvP3/+/Jtuuqm4\nuPjjjz/+1a9+9dJLL0VFRd1777121wsA3qd5c2uprEtJiXJyrBfXpqUpJaWa+byqb8KQdM01\nioqyfg0frjZtPFc8AG8Kdhs3bpT0l7/8ZdCgQZI++OADSa+//nrFvdcHHnggMDDwrrvueuWV\nVwh2AFB/vr4aPFiDB+u//kuScnMv2CH54MFqvnLokD77TJ99Jkl+fgoPVzk2kL0AACAASURB\nVHy8NZnXv798fDxaP9DUeFOwO336tKShQ4e6mocOHZI0duzYqn1uvPFGSRX3ZwEADah1a02Y\noAkTrGbFmzCSk5WaWs1i2+Jiq4NLcLAiIhQdbW2e17275yoHmghvCnZdu3b99ttvd+7cGRoa\nKqlnz547duw4e/ZsYGBgRZ/CwkJJPvwnIQBcfW5vwtixo3IyLzNT58659z99WuvXa/16q9mh\ng6KjFR2tqCjFxrIIA2gA3hSAJk2aJOlnP/uZa/3EQw89JOnjij3UJUkffvihpLi4ODsKBICm\ny+FQ//664w698IL+9S/l5Sk9XS+/rLvv1qBB1d+BPXpUK1boySc1daquuUa9eun22/X88/rX\nv6rZgQVAXXjTjN3jjz++bNmy9evXDx48+OGHHx47duz999//2GOP+fv7T548ubi4+L333vv1\nr3/tcDgef/zxOp6ztLR0xYoVrnm+muzevVtSWVlZ/X8EAGgi/Pysxbb33y9Jp08rI0OpqUpL\nq+ubMAYNslZghIcrNFTBwR6tH/BS3hTsrrnmmo0bN959993r1q177LHHKo7/l+uZXkmSn5/f\nokWLRo8eXcdzrlu3bsqUKXXp6Yp3AIArEBys667TdddZzWPHlJJi5bzU1GoWYZSUaMsWbdmi\nv/1Nknx8NGCAoqOtnfPCw9W8uUfrB7yFNwU7ST179ly7du2mTZs+++yzDRs27N27Nzc3t7Cw\nMDg4uFevXiNHjpw5c6ZrzWwdjRo1KiEhobS0tJY+CxYsWLlyZc+ePetbPQBAktS+vSZP1uTJ\nVvPgQSUmWr+qfRNGWZm2bdO2bdYbz/z8FBqquDjrV79+YutSwMXLgp3L8OHDhw8f3iCncjqd\nY8aMqb3P0qVLxYIMALhqOnfWj35U+SaMb76pnMzbsqWaRRjFxda+eosXS1KbNoqNrVyH0bWr\np+sHGg+vDHYAAFP5+mroUA0dqnvukaTSUu3YYe2NXNNi25MnL3gTRqdOioqqzHnXXOPR+gF7\nmRDsXG8PKy8vt7sQAEADczo1cKAGDtQdd0hScbG2brV2zktK0rZtunhh2+HD+vxzff651ezW\nTfHxio21lmLwxjOYzYRgBwBoIioW286cKUn5+VbCS01Vaqr276/mK643nn3wgSQ5HOrXz5rP\ni4pSZKSCgjxaP3C1EewAAN4qJETjxmncOKt55IiV8FzP5x065N6/vFw5OcrJ0dtvS98vtnWt\nwIiJ0dCh8vPzaP1AgyPYAQAM0bGjbrxRN95oNQ8eVEqKkpKUmKj0dOXlufevWGzr2lSleXOF\nhio6WrGxiovTgAEstoX3IdgBAMzUubOmTtXUqZJUXq6dOysn8zIydPq0e/+iImuJxksvSVJw\nsEJDFRlpPaLXpw85D17AhGDHsgkAQO1cT9f166fp0yWprEw5OUpNVUqKEhOVmaniYvevnD6t\nTZu0aZMWLpSk4GCFhVU+n9e/f/XvSQPsZUKwAwDgsvj4WItt77xTkoqKtGWLNZmXnq6vv9b5\n8+5fOX1aGzdq40arGRys6GhrMi8mRl26eLR+oCYEOwBAU9e8ufWyMpfiYn39tfVwXlKStm/X\nxXeGTp/WmjVas8Zqdu5snSEmRtHRatPGc8UDVRHsAAC4gJ+fwsMVHq7775ekU6eUmanMTKWn\nKy1N27dXs3newYNavlzLl1vN7t0VHq7YWA0bpqgotWzp0frRlBHsAACoTatWGj1ao0dbzTNn\nlJ5uPZyXlKR9+6r5yt692rtXn3wiff94n+tNGNHRiohQixYeqx1NDsEOAIDLEBSk667TdddZ\nzSNHrLW0rl/Hj7v3r9g8b+lSSXI6NWhQZc4LC1Pz5h6tH2Yj2AEAcOU6dtQPf6gf/tBqfved\nMjKUmanUVCUmKjfXvX9pqbKzlZ1tbZ7n56ehQ60n86KjNXgwmySjXgh2AAA0mF691KuXfvQj\nSSov17//bb0MIyVFGRk6c8a9f3Gx0tOVnq5XXpGkZs00aJAiI62cFxrKfB4uD8EOAICrwuFQ\n377q21e33y5JpaXavt3KeampysxUYaH7V86ftxZqvP66JPn5KSzM2lQlKkoDBrB5Hi6BYAcA\ngCc4nRo8WIMH6667JKm4WFu3Vs7nbd1azSbJxcVWB5egIGsyz/V+2x49PFo/vALBDgAAG/j5\nKSJCERG67z5JKizU1q3KzFRGhlJTtWVLNfN5Z85o/XqtX28127RReLhiYhQfr8hIde/u0frR\nOBHsAACwn7+/9VydS8V8XsUmyaWl7l85eVIJCUpIsJpt2lgvw4iOVni4unXzXPFoPAh2AAA0\nOm7zeWfOKCPDeulZcrJ27qzmKydP6ssv9eWXVrNdu8o3YcTEqFMnzxUPGxHsAABo7IKCNHKk\nRo60midOKD1dGRlKT9fmzdq7t5qvHD+uL77QF19YzW7dFBOjiAiFhys6mpxnLIIdAABepm1b\njR+v8eOt5tGj1hvPkpKUnKyDB6v5yr592rdP//iH1ezZ07pj68p5HTt6qHJcbQQ7AAC8W4cO\nmjBBEyZYzSNHrB2SXS/DqDbn7d6t3bv14YdWs1s3RUVZD/lFRaldOw9VjgZHsAMAwCgdO+qG\nG3TDDVbz4EEr4aWlKTNThw9X8xXXfN6yZVazZ88Lcl7r1h6qHPVHsAMAwGSdO2vqVE2dajUP\nHrTu2LpefXbkSDVfcc3nffSR1ezTR7GxiotTbKzCwhQY6KHKcQUIdgAANCGdO+vmm3XzzVZz\n/35rsW1qqtLSdOxYNV/ZtUu7dumddyTJ6dSAAYqKUmSkIiMVHq7gYM8Vj0si2AEA0HR17aqu\nXSvn8/bsuSDnnTzp3r+0VF9/ra+/1ptvSpLTqUGDFBenyEiFhSkiQgEBHq0fbgh2AADA0qOH\nevTQj35kNb/91gp5iYlKS9PZs+79S0uVna3sbKvp56fQUEVFKTxckZGKiFCzZp4rHiLYAQCA\nmvTurd69deutklRSou3blZam9HSlpyszU2fOuPcvLlZamtLSrKa/v8LCrJm8mBiFhsrPz6P1\nN0EEOwAAcGm+vhoyREOG6K67JKmsTDk5SklRUpJSUrR1q86dc/9KYaGSkpSUZDWbN7debuv6\n1a+fnE6P/ghNAcEOAABcNh8fDRyogQP1X/8lSaWl+uYbJSYqOVmZmdXnvKKiC3JeYKCGDlVU\nlLW1yqBB8iWV1BtDCAAA6svptObzZsyQpJISbdmixERlZiojQ9nZKipy/8rZsxfkvIAA6zUY\nrpw3YADzeVeCYAcAABqYr6+1H4pLcbGysqx9klNS9M03Ki11/8q5c9q8WZs3W80WLTR0qMLD\nrZw3eDDP59UJwQ4AAFxdfn7WeywefFCSzpxRZqayspSRobQ0bd2qkhL3rxQUKDFRiYlW07UO\nw7VPckyMrr1WPj4e/RG8BcEOAAB4VFCQRozQiBFWs7BQmZnW/nlpadq2rZr5vIp1GAsXSlKL\nFgoNVViYIiMVF6fBg7lvayHYAQAAO/n7Kz5e8fFW8+xZZWQoI0NZWUpPV3a2iovdv1JQ4H7f\nNjRU4eGKi1NcnPr1a7rzeSYEu1deeWX+/Pn79u3r1q3b7bff/pvf/CaAfa8BAPBOgYEaPlzD\nh1vNoiJlZSktzdpaZft2lZW5f6Ui5730kiQFBWnoUMXEKC5O0dFN676tlwW7tWvX/vrXv87I\nyGjfvv1PfvKTJ5988vXXX3/Qdcde2rVr19NPP71q1aqEhASyHQAABmjeXLGxio21ns/Lz1dW\nlrKylJmpzExt2VLNfN6ZMxfM57lyXni4Ro/WLbfI4fBo/R7mTcFu7dq148ePLykpkbR///4/\n/OEPhw4d+vzzz7t06fLGG2/Ex8dnZ2ffcccdiYmJCxYsmDNnjt31AgCABhYSopEjNXKk1Sws\nrHwTRmqqtm6t5vm8ipz30kvat0+/+IWHS/Yob5qa/O1vf1tSUnLzzTcfOnRo3759U6ZMefPN\nN0+cOPH888+PGzcuKCho2LBhCxculPT+++/bXSwAALjq/P31gx/o4Yf16qvKzNSpU1q/Xn/+\ns+6+WwMHVjM5t327HVV6kDfN2KWmpkpatGhRp06dJL388suffPKJpLFjx1b0GTFihKR///vf\nNtUIAABsExR0wXxeXp5139b1lJ6/vx57zNb6rj5vCnYOh0OS3/cbFDq+z+HOKkucz58/L8mn\n6TwkCQAAatCypa67TtddZ3cdHuRNASg2NlbSo48+euTIkaNHj/7sZz9zHV+7dm1Fn/Xr10sa\nOHCgHQUCAADYyZtm7J5++umxY8cuWbJkyZIlriOzZs1auXLl7NmzQ0JCYmJiEhMTZ8+eLen2\n22+v4zlLS0tXrFhRWFhYS5/du3dLKrt4dTUAAEBj4k3Bbvjw4evXr58zZ86mTZuCgoJuu+22\nP/zhD+PGjfvxj39c9TG7qKiohx9+uI7nXLdu3ZQpU+rS88CBA1dSNAAAgKd4U7CTFBcX9+WX\nX1Y9cvPNN3/wwQdPPvlkTk5Ou3btfvzjH8+dO7d58+Z1POGoUaMSEhJKL14bXcVHH3308ssv\n9+/ff9WqVVdceUlJybvvvtu1a1ee/7syZWVlu3fv7tmzJwN4ZRjAemIA64kBrCcGsP7Kysr2\n799/2223+frWN/x8/fXXDVLSVVGOS3nxxRft/n8JAAA0LosWLbI7oVTDy2bsbHHnnXc2b968\nns/Ypaam/vWvf73xxhv79u3bUIU1KTt37vz8888ZwCvGANYTA1hPDGA9MYD15xrD++67Lzo6\nuv5n8/HxufXWW+t/noZnd7JsAF7xg7j2TH7//fftLsRbMYD1xADWEwNYTwxgPTGA9ddExpBb\n9QAAAIYg2AEAABiCYAcAAGAIgh0AAIAhTFgVW/79+gkAAICmjBk7AAAAQxDsAAAADEGwAwAA\nMATBDgAAwBAEOw8JCAiQFBgYaHch3ooBrCcGsJ4YwHpiAOuJAay/JjKGDpaUekZpaenGjRtH\njBjhdDrtrsUrMYD1xADWEwNYTwxgPTGA9ddExpBgBwAAYAhuxQIAABiCYAcAAGAIgh0AAIAh\nCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAA\nAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINh5wtq1a8eNG9emTZvWrVuPGTPm888/t7ui\nxmv8+PGO6rh1Y0jdzJw58+JRqlCX4WriQ1rLAHJN1uLcuXNPP/10WFhYSEhIQEDAgAEDHnvs\nsdzcXLduXIE1qcsAcgXW5NixYzNnzuzatau/v3/v3r1vueWWjIyMans2rSuwHFfZsmXLnE6n\n27AvXrzY7roaqe7du1/yQmVI3RQUFHTo0KGmv851Ga4mPqS1DyDXZE0KCgqio6MvHpkBAwbk\n5uZWdOMKrEkdB5ArsFr5+fl9+vRx+5GdTueKFSvceja1K5Bgd3VV/AvjscceO3r0aF5e3vPP\nP+/j49O8efM9e/bYXV2jc+7cOYfD4evre/78+Zr6MKRVnThxYsWKFWPGjLn4H/QudRmupjyk\nlxxArsla/P73v5fUvn37995779SpU3l5ecuXL+/atauk2bNnu/pwBdaiLgPIFViTuXPnSurT\np8/GjRsLCwu3bds2btw4SVFRUVW7NcErkGB3db366quSxo0bV/XgbbfdJmnu3Ll2VdVobdmy\nRdK1115bSx+GtKpa/gvepS7D1ZSH9JIDyDVZi4iICEkffPBB1YOrV6+W1LlzZ1eTK7AWdRlA\nrsCaDB06VNIXX3xRceTAgQOS/P39q3Zrglcgz9hdXa6/ovfcc0/VgzfddJOkNWvW2FNTI7Zj\nxw5J/fr1q6UPQ1pVxd/kmjrUZbia8pBecgC5Jmuxa9cuSa5pkgoxMTGSTpw44WpyBdaiLgPI\nFViT7777TtIPfvCDiiMlJSWS2rVrV7VbE7wCCXZXV1pamiS3pyhiY2P1/V9XVOUak2uuuWbW\nrFmdOnXy9/cfMmTIggULXH9dXRjSy1KX4WJIa8E1WYu8vLzy8vJWrVpVPZiQkCBpwIABriZX\nYC3qMoBcgTU5ffp0eXl5SEiIq3ngwIFHHnlE0r333lu1W1O8Aj0+R9i0tGnTRtKZM2eqHnSt\neHKbLkZ5efndd98t6eLVXhMmTKh4voQhrVZNf53rMlwMaXnNA8g1eVkSEhLatm0r6a233nId\n4Qq8LBcPIFdgXVQMy6xZs0pLS6v+VhO8Agl2V5drlY3bdeb6Ly2n02lXVY2Wa1I9KipqzZo1\nZ8+ePXTo0J///OcWLVpIeuaZZ1x9GNJq1ZRL6jJcDGl5zQPINVlHx48fv++++1zbcPzv//5v\nxXGuwDqqaQC5AuuiItj5+PjMmDGjqKio4rea4BVIsLu6AgICJOXn51c9WFBQICk4ONiuqrzL\nX//6V0n9+/d3NRnSatWUS+oyXAxpec0DWC2uyapKS0sXLVrkmvPo27fv6tWrq/4uV+Al1T6A\n1eIKdFNWVnbs2LFPPvmkb9++kn79619X/FYTvAJ5xu7qat++vaTjx49XPXj48GFJnTt3tqcm\nbzNt2jR9/5ysGNLLVJfhYkgvF9dkhaNHj44ZM+ahhx4qLy//4x//uHXr1rFjx1btwBVYu0sO\nYLW4At04HI527drddNNNb731liTX/7o0wSuQYHd1DRo0SFJKSkrVg67l66GhofbU5G2Ki4sl\nBQcHu5oM6WWpy3AxpJeLa9KlsLBw/Pjx69evv/HGG7dv3/7oo482a9bMrQ9XYC3qMoDV4gqU\nFBAQ4HA43NLYwIEDJR07dqziSBO8Agl2V9f48eMlLV26tOrBN998U9LEiRPtqakRa9++vcPh\n2L59e9WDrtGLj493NRnSy1KX4WJIa8E1WYvXX399y5Yto0ePXrZsmWt/14txBdaiLgPIFViT\n/v37S1q7dm3Vgxs2bJBU9Y0UTfEKtPtesOGOHz8eFBQk6Yknnjh58uTRo0d/9atfSerSpYvb\nAhyUl5ffcccdkkJDQ9euXXvu3LkDBw688MIL/v7+kv75z3+6+jCk1arpr3NdhoshLa95ALkm\nazFp0iRJaWlptfThCqxFXQaQK7Amzz77rOtnXLFixdmzZ48fP7506VJXPv79739f0a0JXoEE\nu6tuyZIlbivVmzVrdvHL7FBeXr53717X63TcPPzww1W7MaQXq+W/0+oyXAxpTQPINVmLakem\nQkU3rsCa1GUAuQJrcvbs2bCwsItH5vrrr3d7/VpTuwIJdp6wcuXK6667Ljg4uHXr1jfccMOm\nTZvsrqjxys3NnTNnzuDBgwMCAlq2bDly5Mg333zz4m4MqRu3f5W6qctwNfEhrWUAuSZr4lpL\nWHsuceEKrFYdB5ArsCa5ubm/+MUv+vTp06xZs6CgoOjo6Oeee664uPjink3qCnSU1/wuHQAA\nAHgRFk8AAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg\n2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAA\nGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAH\nAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAI\ngh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAA\ngCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2\nAAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACG\nINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEA\nABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJg\nBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABg\nCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAIgh0A\nAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEI\ndgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2AAAA\nhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AHwMg6Hw+Fw1H7kys7jMmPGDIfD8cADD1zc\nuS4ut4y6l9ew5wdgJEd5ebndNQDAZXCFm6r/7Lr4yJWdR1JeXl7nzp3Pnj0bFBR08ODB4ODg\nqp3roqH+odpQPyaAJoUZOwBNVHl5+cUh6e9///vZs2clnTlzZsmSJW6dq6r9OADYgmAHAJVe\nfvllSY888oikl156ye5yAODyEOwAmKbiWbRVq1aNGTOmZcuWrVu3njZtWlZWVrXdKqxdu/ab\nb77p27fvH//4xx49emzdunXDhg0NXt6hQ4fuvffea665JigoKCoq6q233qq2GAC4AgQ7AGZa\nvHjxhAkT1q5dm5+ff+rUqeXLl8fFxX3xxRe1fMU1XffAAw84nc77779fV2HS7ttvv42IiHj9\n9dcPHz5cUFCQnp5+5513zp07t2H/FABNFosnAHiZS64qcDWdTucNN9zw7LPP9u3bd9euXU88\n8cTy5ctbt279zTffdOzY8eJvHTlypFu3bk6n88CBA23atDl27FjXrl0l7d+/v3379nUp45LK\ny8vj4uJSUlLGjh37wgsvXHvttTk5OXPmzPn888/Lyspq/6Gu7E8E0NQwYwfATAMHDly2bFlo\naGhAQMCQIUM++uijmJiY3NzcV155pdr+r732WnFx8a233tqmTRtJ7du3/4//+I/z58+/9tpr\nDVXSp59+mpKSMmTIkBUrVgwZMsTf3z8sLGzZsmXR0dEN9UcAaOIIdgDMNHv2bD8/v4qm0+n8\n+c9/LmnlypUXdy4rK/vLX/4i6cEHH6w4OGvWLEmvvPKKazqt/t577z1Jjz32WPPmzSsO+vj4\nuNZqAED9EewAmGnkyJFuR0aMGCFp+/btF3desWLFnj17wsPD4+PjKw4OHz48LCxs9+7dtT+Z\nV3cpKSnVFnbxEQC4MjxjB8DL1PEZu7y8vJCQkKpfLCoq8vf39/X1LS4urvY89Szj4t+tqry8\nPCgoqKCgoLCwsOqMXUVhtf9Q9S8YQFPAjB0AMwUGBrodcd1RbdGihR3lSFJRUVG1x8+fP+/h\nSgCYimAHwEwnTpxwO3LgwAFJ7dq188CfXu0bKVq2bCnp6NGjbp2PHDnigZIANAUEOwBmSkpK\ncjuybt06SVFRUXaUI0kDBgyQtGnTJrfj69evt6McAAYi2AEw0wsvvFD1cbRz587Nnz9f0uTJ\nk+0qaeLEiZJefPHFqoWVlJS88MILdpUEwDAEOwBmSkhImD59+vbt24uKijIzMydOnJiTk9Or\nV6/p06fbVdL999/ftm3bTZs23X777Tt27CgqKsrKypoyZcqWLVvsKgmAYVgVC8DL1HFV7KxZ\nsxYvXlz1iy1btly/fn1oaGhN56lnGXWxZs2aKVOmnDlzpurBBx980PXuMlbFAqgnZuwAmOnF\nF19cuHDhoEGD/P39O3TocNddd2VkZFSkOruMGTMmPT19+vTpbdu2DQgIGDp06MKFCxctWmRv\nVQCMwYwdANN448yWN9YMoBFixg4AAMAQBDsAAABDEOwAAAAMQbADAAAwBIsnAAAADMGMHQAA\ngCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIQh2\nAAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEAABiCYAcAAGAIgh0AAIAhCHYAAACG\nINgBAAAYgmAHAABgCIIdAACAIQh2AAAAhiDYAQAAGIJgBwAAYAiCHQAAgCEIdgAAAIYg2AEA\nABiCYAcAAGAIgh0AAIAhCHYAAACGINgBAAAYgmAHAABgCIIdAACAIXztLsAL5Ofnv/rqq8XF\nxXYXAgAAGgU/P78ZM2aEhITYXYg7gt2lLVmy5Be/+IXdVQAAgEbE399/1qxZdlfhjmB3aSUl\nJZJee+21sLAwu2sBAAA2y8rKuvfeexvnrTyCXV31798/KirK7ioAAIDNCgsL7S6hRiyeAAAA\nMATBDgAAwBAEOwAAAEMQ7DwqJ0fx8Ro2TDt22F0KAAAwDsHOo+bPV1KSEhP1hz/YXQoAADAO\nwc6jfL4f79277SwDAAAYiWDnUR06WB+OHrW1DgAAYCKCnUd17Gh9OHLE1joAAICJCHYeVRHs\nTpxQSYmtpQAAAOMQ7DyqItiVlen4cVtLAQAAxiHYeVRFsBN3YwEAQEMj2HlUxeIJEewAAEBD\nI9h5VOvWatbM+kywAwAADYtg51EOh9q3tz4T7AAAQMMi2HkaO54AAICrhGDnaQQ7AABwlRDs\nPK0i2PHyCQAA0LAIdp7GjB0AALhKCHaeVrHjCcEOAAA0LF+7C7hse/fufeONN9asWbNjx46T\nJ08WFxcHBgZ27tw5NDR00qRJt956a4sWLeyusTYVM3bHjqmsTD5EawAA0EC8LNgtXrz40Ucf\nLSoqqnrw9OnTOTk5OTk5H3zwwZw5c1599dWJEyfaVeElVQS7khKdPKl27WytBgAAGMSb5os+\n++yzhx56qLi4+Lbbblu6dOnOnTtzc3NLSkoKCgp27dr18ccf33zz3eCvvQAAIABJREFUzQcO\nHJg6dermzZvtLrZGvFUMAABcJd4U7BYsWCDpueeee+edd6ZPn37ttde2atXK6XQGBgb27t17\n2rRp//jHP371q1+dP3/+ySeftLvYGhHsAADAVeJNt2IzMjIk3X333bX0+eUvfzlv3rzk5OQ6\nnrO0tHTFihWFhYWX/HOLi4vrWmit2raV06nSUolgBwAAGpQ3BTsfHx9J58+fr6WP0+nU5YSw\ndevWTZkypS4933nnndGjR9fxtLVwOtW2rbWJHcEOAAA0IG8KdpGRkQkJCfPmzZs3b15Nff70\npz+5etbxnKNGjUpISCh1TaDVYMGCBStXruzSpctlVVuLjh2tYMcexQAAoAF5U7CbM2fOunXr\n5s+fn5GRcc8990RHR3fp0iUgIKCgoOD48eMpKSlvvfXWp59+6uPj85vf/KaO53Q6nWPGjKm9\nz9KlS/X9fGGD6NhR2dkSM3YAAKBBeVOwGz169Icffjhz5sxVq1atWrWq2j5BQUEvv/zyhAkT\nPFzbZeHlEwAA4GrwpmAnadq0aRMmTHjnnXdWr16dlpZ2/PjxvLz/396dx0dV3/sff082khB2\nohBkSdhC9o0EJCxBqFux1Var1rVar3t/XfQ+rNoWtbXe6r22llutt9YNq8VW2gIKagxLKgGS\nzCQkhD2ALLIYwhJCkkl+f8zXmRAmMRCYyZy8no88eOR7cr65n/neg7x7zvl+v7VhYWHR0dEJ\nCQmzZ8++9dZbBw0a5O8yv4I72O3d69c6AACAtQRYsJMUGRl5xx133HHHHf4u5OzFxZlvNm1S\nS4tsNr9WAwAArCKQ1rGzjMRE882xY9q506+lAAAACyHY+cGECZ7vKyv9VwcAALAWgp0fXHih\n3O8Bbtjg11IAAICFEOz8w33TjmAHAADOFYKdf7iDHY9iAQDAuUKw8w+CHQAAOOcIdv6RkGC+\nOXyY1ewAAMC5QbDzj9YTY3nNDgAAnBMEO/8YPlx9+pjveRoLAADOCYKdf9hsio8333PHDgAA\nnBMEO79hxRMAAHBuEez8xn3HrqJCLS1+LQUAAFgCwc5vMjPNN/v3q7zcr6UAAABLINj5zbRp\niow033/wgV9LAQAAlkCw85vwcE2dar7/8EO/lgIAACyBYOdPs2ebb1atUl2dX0sBAACBj2Dn\nT1/7mvmmvl4rV/q1FAAAEPgIdv6UlKShQ833PI0FAABdRLDzJ5vN8zSWYAcAALqIYOdnM2ea\nb8rLtW2bX0sBAAABjmDnZ5dfrrAwSWpp0e9+5+9qAABAICPY+dkFF+jGG833L7+sL77wazUA\nACCQEez878c/ls0mSXV1+tOf/F0NAAAIWAQ7/0tKUm6u+f4Pf1BTk1+rAQAAAYtg1y388Ifm\nm+3b9cwzfi0FAAAELIJdt3DVVUpMNN8/8YTKy/1aDQAACEwEu24hOFh/+pOCgyWpoUG33abG\nRn/XBAAAAg3BrrvIydFPfmK+LynRbbepudmvBQEAgEATYMGupqbmwQcfjImJCQ8PT0tLmz9/\n/unn2Gw2m2uWaaCZO9fzQPatt/T//p9fqwEAAIEmxN8FnIFDhw5Nnjx58+bNrqbD4bjpppu2\nbNny85//3L+FnSu9eulf/1JurvbskaQXXtDRo/rDHxQe7u/KAABAIAikO3a/+tWvNm/ePGLE\niI8//vjIkSMLFy4cNGjQ3Llz8/Pz/V3aORMbqw8+0IABpvnqq5oxQ5995teaAABAgAikYPev\nf/1L0rx582bOnNmnT59vfOMbCxYskHTPPfc0NDT4u7pzJjlZy5YpOto0i4qUlqb33vNrTQAA\nIBAEUrDbuXOnpGnTprmP5OXl3XnnnZs2bZo3b57/6jr3srJUVOR53+7QIV1zjW64Qfv2+bUs\nAADQvQVSsAsJ8fJG4NNPPz1w4MAnn3zywIEDvi/p/ImN1b//re9+13Pk7bc1YYKee04nT/qv\nLAAA0I0FUrCLi4uTtHTp0tYHBw0a9OSTT9bU1Nx+++1N1tqNq29fvfmm3nhDffuaI4cP6yc/\nUUKC/vxnFroDAABtBdKs2Guvvba8vPy+++6z2WyzZs3q37+/6/jdd9/99ttvL168ePbs2c89\n99wZ/U6n07lkyZL6+voOzqmurpbU7Kdl5W66STNn6j//U/Pnq6VFkrZt0/e+pyef1A9/qO99\nT717+6UuAADQ7dhaXGEhEJw4cWLq1KnFxcWuZuvK9+/fP3v27LKyMveRTn6u/Pz8Sy65pDNn\n3n777a+88sqZ1HuOrVyphx/W6tWnHBw0SN/7nu65R7GxfioLAIAeprCwMDc39/nnn//BD37g\n71raCqQ7dhEREStWrHjhhRfeeeedrVu3tv7RBRdcUFRU9MorryxatKi8vPzQoUOd/J3Tp0/P\nz893Op0dnPPss88uXbp01KhRZ135OTF1qj79VO+9p0cf1YYN5uChQ/rNb/Tf/63Zs/Xd7+qa\naxQZ6dcqAQCA/wTSHTt/uf3221999dUnn3zyscce83ctktTcrHff1fPP69NP2/6oXz995zu6\n8UZNmSJvU00AAEBXdec7doE0eQIuQUG67jr9+98qKtI115wS4Gpr9cc/asYMxcTonnv08cey\n1nwSAADQESsEu8DdHLaLsrP1t79pxw79+teaMOGUHx04oBdf1KxZuuAC3XijXntNn3/upyoB\nAICvWCHY9XAxMfrP/1Rlpdau1QMPaPDgU35aU6O//EW33aahQ5WRoUcf1YoV3MYDAMCaCHbW\nkZWl3/1Oe/cqP1/33dc24bW0qLRUv/qVpk/XwIG64go984yKigh5AABYBy/YW01IiPLylJen\n3/5WhYV6/3198IEcDrWeJHP0qN5/X++/L0l9+ig3VzNmaPp0ZWYy5QIAgADGP+OWFRysadM0\nbZqeflqff66lS7VsmT78UPv3n3Jam5CXna1JkzRpknJyFB3tl8IBAMBZskKwY8WWr3Thhbrl\nFt1yi5qb5XCooEAffKDly9tuO3v0qD7+WB9/bJrjx2vGDE2dqpwcjRnj+6oBAMCZsUKwQ+cF\nBSk9Xenp+uEPdeKEiopUUKCCAq1dq7q6tidv3KiNG/XSS5IUHa2cHOXkaPJkTZzo2b4WAAB0\nHwS7nisiQjNmaMYMSWpqUnm5Vq1SQYEKC72sjXLggBYt0qJFkmSzafRopaWZqJeZyXYXAAB0\nCwQ7SFJIiLmT98ADkrR9u1avVlGRVq9WcXHbmbMtLdqyRVu26N13Td+UFGVnKytLmZlKSmIG\nBgAA/sG/wPAiNlaxsbrhBkk6dkyFhfr0UxUVqaSk7dwLSU1NKilRSYlphocrJUVpaeYrOVlR\nUT4tHgCAHotgh68QFaVLL9Wll5rm3r1at06rV2v1aq1dq6NH255fX681a7RmjWkGBysxUTk5\nysgwOa93b98VDwBAj0Kww5kZOlRz5mjOHElyOrVhg3loW1ys9evV2Nj2fKdTZWUqKzPNoCCN\nHavUVKWnKzVVaWkaOtSn9QMAYGEEO5y94GAlJSkpSXfeKUn19XI4VFwsu112u9av14kTbbs0\nN5vJtn/9qzkydKhycpSdbaIeOQ8AgLNGsMM5Ex5u5sm6OJ3auNE8t123znvOk7R3rxYu1MKF\npnnhheZOnutr3DgFB/uofgAAAh3BDudLcLASEpSQoFtukb7MeQ6HSktVXKziYtXWeun1+eda\ntkzLlplmRISSkjzPbZOSWEIPAIB2EezgI+6c55ps29KizZs9z20dDi+L50k6cUJr12rtWs+R\nYcM0YYLS0kzUi49ndRUAAAz+SYR/2GwaN07jxpmcJ2nvXjkcJufZ7dqyRU6nl467d2v3bn30\nkWn26qWkJPPcNjVVqanc0gMA9FwEO3QXQ4dq6FBddplpHj+u9es9Oa+8XMePe+l18qR5sOti\nsyk21pPz0tI0YoSP6gcAwO8Iduimevc+ZSpGc7O2bPHkPIdDe/Z46dXSom3btG2b/v53c2TA\nAM8reqmpSkhQaKiPPgIAAD5GsENgCAoyj26vu84cOXBADoccDpWVyeHQhg1qaPDSsaZG+fnK\nzzfNsDAlJnpyXlqa+vf30UcAAOB8I9ghUEVHa9YszZplmo2Nqqw0iyG7At/pu59JamhQaalK\nSz1HRo3yhLzUVMXG+qJ4AADOB4IdLCI01EyecNu3zyQ81129qio1NXnpWF2t6mrPQnr9+5vf\n48p5SUkKC/NF/QAAdB3BDpY1ZIiGDPHscnvypCoqzPt5rj+9LqR3+LCWL9fy5aYZGqoJEzw5\nLz1dAwf6qH4AAM4UwQ49Ra9eyshQRobnyLZtnpBnt2vHDi+9GhvN49033jBHhg8/JefFxclm\n80X9AAB8JYIdeq64OMXF6eqrTbOm5pT7eRUVamz00mvXLu3apUWLTLNvX6WlKT3dfCUksGAy\nAMBv+CcIMAYMUF6e8vJMs6FBlZWnRL2aGi+9jhzRihVascI0w8OVlKSMDKWnKyNDycmKiPBR\n/QAAEOwA78LCzELHbtXVpzy63b7dS6/6eq1bp3XrTDMkROPHe2bdpqUpOtoXxQMAeiaCHdBZ\no0Zp1Ch94xumWVsrh8MsnlJaqspKL7Num5pUUaGKCs2fb47ExCg9XdnZyslRRgY5DwBwLhHs\ngLPUr5+mTdO0aaZZX6/ycpWWqqREpaUqL9eJE1567dmjPXu0eLFpxsSY+3kTJyonRzExPioe\nAGBJBDvg3AgP18SJmjjRNJuaVFWl0lLz6La0VF984aWXK+ctWWKaw4aZVfRc26CNGaOgIB/V\nDwCwAIIdcF6EhCgpSUlJuvlmc2TXLq1dq08/VUmJ7HbvOW/3bu3e7cl5UVFKSVF2tiZNUkaG\nRo8m5wEAOmKRYGez2SS1tLT4uxCgXcOHa/hwXXONae7c6ZmKUVLifSrGsWP697/173+bpivn\npaYqI0NZWUpMVGioj4oHAAQEiwQ7IOCMGKERIzRnjml+/rnWrJHdLrtdxcXeV0tuk/PCwz0v\n5+XkaMwYlkoGgJ4ukIKd7av+1Wp9AnfvEFguvFBz5nhy3oEDKi7WunXmLb3t23X6FV1fr6Ii\nFRXp97+XpH79zOJ5mZnKyNC4cTy3BYAeJ5CC3YABA2q8LhELWE50tC67TJddZpqHD5uct26d\nqqq0caOXXTFqa1VQoIIC03Q9t3XtiuFaKpnntgBgeYEU7BwOx80337x8+fL+/fu/9NJL1113\nnftHvGMHa+vfX5dcoksuMc2TJ1VWZnJeUZE2bFBzc9subZ7bhoUpOdnczMvMVGoqOQ8ALCiQ\ngt3w4cPz8/OffvrpX/ziF9/5znfef//9F154ISoqyt91Ab7Wq9cpS6scOaKSEpWUqLhYJSXa\ntMlLzmtoUHGxiotNMzxcGRnmfl52thITFRzsu/oBAOdJIAU7SUFBQY8++ujs2bNvvPHGV199\ndeXKlW+99VZ2dra/6wL8qW9fzZihGTNM89gx2e0qKTGzbsvLvTy3ra9vO9/WtemZ68/kZIWH\n+6x8AMA5E2DBziU7O7u0tPT+++9//fXXp0yZ8otf/OKsf5XT6VyyZEl9fX0H51RXV0tqPv0e\nCNAtRUUpN1e5uabZ0KDycnMzr6REZWU6ebJtl2PHVFiowkLTdO2TO3GiWVolJYXntgAQGAIy\n2Enq06fPa6+9dvnll999992PPfbYWf+e5cuXX3XVVZ050xXvgIATFqbMTGVmmmZjoxwOrV5t\nbul5vZ/X0KA1a7RmjWlGRJjntq4tMZKSuJ8HAN1UoAY7l+uvv37y5Mk33XTTqlWrzu43TJ8+\nPT8/3+l0dnDOs88+u3Tp0lGjRp3d/wmgWwkNVVaWsrJMs75eJSVau9Y8t62oUEND2y4nTpxy\nP8+1qcbkySbtJSerVy/f1Q8A6EBgBztJI0eOXLly5Vl3Dw4OzsvL6/ic+fPnSwpiTTBYUXi4\nLr5YF19smo2Nqqw0y+OVlnrPeU1NZiFll7AwMwPDlRfHj2ceBgD4TcAHOwDnUGioUlOVmqq7\n7pKkxkbZ7Z7ntl5zXkODCYIuUVFKSzNfmZlKSlII/5kBAF+xwn9xWcQOOE9CQ09ZV8V1P6+k\nRKtXa+1a7znv2DGtWiX3yxGufc+yspSerrQ0JSXx3BYAziMrBDsAvuG+n3f77ZLU2KiKCq1e\nraIirVunDRt0+tuq7n3P3L8hKcmz71lqKvMwAOBcItgBOEuhoeaR6913S9Lx47Lbzf62rue2\np8+3bWxUaalKS/WnP0lSSIgSE03Oc+2HERHh608BAFZCsANwbvTurSlTNGWKaZ48KYfDbHFb\nUuI95zU1yeGQw6E//1mSQkI0YcIpOa93b59+BAAIdAQ7AOdFr17KzpZ7X5iGBlVUeLY+czh0\n+rrgTU0qL1d5uV57TZKCgxUfr6ws5eQoJ0eJibyfBwBfwQrBjmkTQPfnWhUlPV133CFJTU2q\nrDT7YbhyXl1d2y5OpyoqVFFhcl5oqOLjzcPf7GxlZvLcFgDaskKwAxBwQkKUkqKUFDMPo6lJ\nVVUqLjZRz27X8eNtuzQ2mvt5b7whSaGhmjDBTOZwLa3Sv7+vPwUAdDcEOwD+59rNIilJt94q\nSU6nqqrMzTzXUsmn72/b2KiyMpWVmZxns5nntu6tzwYO9PWnAAC/I9gB6HaCg5WYqMRE3Xyz\n9OX7eXa7mWlRXKyjR9t2aWnRhg3asMHkPEkjRpiX81xL6JHzAPQEBDsA3Z37/TwXp1MbNnj2\nt3U4dPiwl147d2rnTi1YYJojRyojw/M1ZIiPigcAXyLYAQgwwcHmua3btm1mGWTXKnqnz8OQ\ntGOHduzQe++ZZkyMJ+Slp2vECF9UDgDnG8EOQMCLi1NcnG64Qfryfp7drg0b9OmnKilRba2X\nLnv2aM8eLVpkmoMHn3I/b/Ro3xUPAOcQwQ6ApZx+P2/7dpWWmim3xcU6eNBLr4MHtWyZli0z\nzcGDlZOjjAyzukpsrGw2XxQPAF1EsANgcbGxio3VNdeY5o4dnpC3bp0OHfLS5eBBLV6sxYtN\ns18/padr0iRNnEjOA9CtEewA9CwjR2rkSE/Oq6725LziYu85r7ZWBQUqKDDNfv2UkqK0NGVl\nKTNT8fEKDvZN7QDwFQh2AHq0UaM0apS+9S3TrK5WaansdjPfdscOL11qa7VypVauNM2oKKWl\nKT1dqanKyFBSkkJDfVQ8ALRBsAMAD1fOu/pq06ypMSHPNeu2utpLl2PHtGqVVq0yzbAwJSd7\n5mEkJ7P1GQDfIdgBQLsGDFBenvLyTNOd8xwOlZRowwY1NbXt0tBgnuq6hIRowgRPzktLU1SU\n7+oH0NMQ7ACgs9rkvLo62e1at87sb1tZqcbGtl2amswWt6+9JklBQRo3zhPy2PoMwLlFsAOA\nsxQZqYsv1sUXm2ZDg8rLVVJivsrKVF/ftktzs6qqVFWlt94yR4YPN4uqZGUpK0sxMb6rH4D1\nEOwA4NwIC1NmpjIzTbOpSRs2eHKe3a5jx7z02rVLu3bpX/8yzaFDlZlpol5amuLiWFoFwBkg\n2AHAeRESouRkJSfr1lslqblZmzZ5cl5pqfctbvfu1aJFni0x+vZVVpYmTTKPbsl5ADpGsAMA\nXwgKUny84uN1443miGtpFdd8W7vde847ckT5+crPN03XUsmZmeYtvXHjFBTko/oBBASCHQD4\nR5ulVbZvl8Nhptw6HNq+3UuXNksl9+mj1FTz0DY9XUlJCgvzTe0AuimCHQB0C66tz775TdM8\neFBFRVq71qQ9r0voHT3adgm9pCSlp5v7eSkpioz0Te0AuguCHQB0R4MH68ordeWVpnn4sOx2\nzyt6Gzequbltl4YG89M//UmSgoMVH+/JeWlp6tfPpx8BgO8R7AAgAPTvrxkzNGOGaR47ZnJe\naakcDlVUqKGhbRenUxUVqqjQm29Kks2m0aPNK3qutDd4sC8/AQBfINgBQOCJilJurnJzTbOh\nQevXm5znWkKvrq5tl5YWbdmiLVu0YIE5ctFF5hW91FSlpysujqkYQMAj2AFAwAsLM89bXZxO\nVVV5cp7drtpaL70++0yffabFi02zTx+lpCg1VRkZyslRQgI5Dwg8BDsAsJrgYCUmKjFRN98s\nSS0t2rrVs35eSYkOHvTS6+hRFRaqsNA03TnPNes2KUkREb77CADOToAFu61btz7++OP5+fn7\n9u2TVFNT88tf/vIf//jHzp07IyMjs7OzH3jgga9//ev+LhMAuhGbTWPGaMwYXXedObJrl0pL\nzdIqdru2b1dLS9tebXJeSIjGjTPPbTMylJWl/v199xEAdFIgBbvS0tKpU6ceP37c1Txy5Ehu\nbm5lZaWr2dDQsGzZsmXLlt1zzz3z5s2zsTo7ALRj+HANH66rrjLN2lqzeJ7DodJSlZersbFt\nl6YmVVaqstKzy+2YMWap5PR0paUpOtp39QNoTyAFu7lz5x4/fjw1NfWtt96S9OSTT1ZWVkZH\nR//mN7+ZM2dOY2Pje++99/DDD//hD3/IzMy84447/F0vAASGfv00bZqmTTPNEyc8+9va7aqo\n0MmTXnq5pmK8845pDhvmWSqZ3c8AfwmkYLdq1SpJf/zjHxMSEiQtWLBA0iuvvOJ+9nr33XdH\nRkbeeuutL730EsEOAM5ORISmTNGUKabZ2KiqKs9zW7tdhw556bV7t3bv9kzF6NfPvJ/nynmJ\niQoN9VH9QE8WSMHu6NGjkpKTk13NvXv3Spo5c2brc6688kpJ7uezAIAuCg1VcrKSk81UDEnb\nt6u4WOvWqbhYpaXec15trVas0IoVphkWpsRET85LTVXfvj6qH+hRAinYXXTRRdu2bdu8eXNK\nSoqkUaNGbdq0qa6uLrLVpjn19fWSgpijDwDnjWv3s29/2zR37ZLdrtJS87Vjh5cuDQ3mp3/+\nsyTZbIqLU3q6yXlpaYqJ8V39gIUFUgC6/PLLJT3wwAOu+RP33XefpPfee6/1Oe+++66knJwc\nfxQIAD3R8OGaM0c/+5nee0/V1Tp0SB9+qP/6L91wg+LjvS+G51qB5d139eijuvJKDRumCy/U\nZZfp8ce1aJH27fP5ZwCsIpDu2D366KMLFy5csWJFYmLi/fffP3PmzP/4j/946KGHwsPDr7ji\nisbGxnfeeeeRRx6x2WyPPvpoJ3+n0+lcsmSJ6z5fe6qrqyU1n74vIwDgNAMHatYszZplmseP\nm8m2rq/1673sfiZp/34tXaqlS01zyBDPEnppaRo7VsHBPqofCGiBFOyGDh26atWq2267bfny\n5Q899JD7+C233OL+PjQ0dN68eTPc+yl+leXLl1/lnvHfIVe8AwCckd69dfHFuvhi02xs1Pr1\nnpzncOjYMS+99u3Tvn2enBcZqaQkT85LTlZUlI/qBwJLIAU7SaNGjSooKCgsLFy0aNHKlSt3\n7txZU1NTX1/fp0+f2NjYqVOn3nXXXa45s500ffr0/Px8p9PZwTnPPvvs0qVLR40a1dXqAaDH\nCw01r9a5NDdr82ZPzrPbdeCAl151dVqzRmvWmGZQkMaMMVvcpqcrM5NV9AAjwIKdy5QpU6a4\nJ+J3TXBwcF5eXsfnzJ8/X0zIAIDzIChI48dr/Hhdf705smfPKUurbNmi01+EaW7Wpk3atEkL\nFpgjI0cqK0uZmWbKLVMx0GMFZLADAFhVTIxiYnTFFaZ57JjKy81beg6HystVV+el144d2rFD\nf/ubaUZHe57bpqZq/HiF8M8degYrXOmu3cNaTt/pEAAQ4KKiNHmyJk82TadTmzfLbldJiYqK\nVFysL7eZPMWBA/rwQ334oWmGhys52bO0SkqKevf2Uf2Aj1kh2AEAeojgYMXHKz7ePLp1OrVp\nk+e5rd2uzz/30qu+XmvXau1azy8ZO/aUDdAuuMB3HwE4rwh2AIBAFRysCRM0YYLnFb19+07J\neZs36/TZcU6nqqpUVaW33zZH2OgWlkGwAwBYx5AhGjJEl15qmnV1Ki83G2PY7e2+osdGt7AM\ngh0AwLIiI5WTI/duRK5Ht66Q5/rz4EEvvdrb6NY9G6NfPx/VD5wpKwQ7pk0AADrD/ej2xhvN\nkdpalZeruFjFxaqsVHm5l40x3Bvdug0YoIQEZWaar/h4NsZAd2GFYAcAwNnp10+5ucrNNc3D\nhz3v59ntqqxUY6OXXjU1KixUYaFpDhigzExNmqSJE5WaqpEjfVQ8cDqCHQAARv/+mjFD7m0p\nGxrMBmiunOdw6OhRL71qavTRR/roI9McMMA8sXX9ySt68CWCHQAA3oWFKSNDGRmm2dKibdtU\nUqKSEhUXq6REhw556VVTo08+0SefeH5JYqJSU03US0tT//4+qh89EMEOAIBOsdk0erRGj9a1\n15ojO3aouNhzS++zz7z0Ov0VvVGjPPfz0tIUG+uL4tFDEOwAADhLI0dq5Ehdc41pHjrkeWhr\nt2vDBjU1eelVXa3qav3jH6bpXl0lNVXp6UpMVFiYj+qH9RDsAAA4NwYN0iWX6JJLTPPkSa1f\nb0KewyGHQ7W1Xnq1WV0lNPSU1VXS0lhdBWeAYAcAwHnRq5dZD8Vt2zZPyLPbtWOHl16Njea2\nn1tcnCfkpafroovOe+UIXAQ7AAB8JC5OcXGeR7c1NZ7ntg6HKiq8r66ybZu2bdPf/26agwd7\ndsVIS9P48ayiBw+CHQAA/jFggPLylJfnObJnj1ktubhY69Zp3z4vvQ4ePGV1lZAQjRunxESz\nZvKkSYqO9kXx6J4IdgAAdBcxMYqJ0Zw50perq7in3Nrt2r3bS5emJlVWqrLSNIODNW6c57lt\nWho5r2ch2AEA0B25V1f59rfNkQMHPLvc2u3atElOZ9teTqc2bNCGDfrLX8yRYcPMKnrp6UpN\n1ZgxCgry3aeAjxHsAAAIDNHRmj1bs2ebZl2dyso8Ua+8XCdOeOm1e7d279aSJaYZFaXkZM9s\njKQkRUb6qH74AMEOAICAFBmpSZM0aZJpOp3auNHczHNFvYOiu+arAAAQCUlEQVQHvfQ6dkyf\nfqpPPzVN16Nb964YaWm68EIf1Y/zgWAHAIAVBAcrIUEJCbrxRnNk1y7PlNvSUm3bppaWtr3c\nj27fftscGTLE5DzXo9uxY5l1G0gIdgAAWNPw4Ro+XF//umkePWqW0HPlvPXrVV/vpde+fdq3\nT0uXmmZkpOfRbWqqUlLUu7eP6sdZINgBANAj9Omj3Fzl5ppmU5M2bjS39FxfBw546VVXp6Ii\nFRWZZlCQxozxPLdNTVVMjI/qR2cQ7AAA6IlCQpSYqMREz6PbPXs8Cybb7dqyRc3NbXs1N2vT\nJm3apL/+1RyJjj4l540frxDChf8w9gAAQPpyFb0rrjDN48dVVubJeeXlqqvz0uvAAX34oT78\n0DTDw5WUZN7Pc3316eOj+iGCHQAA8Kp3b02erMmTTdPp1ObN5v08V9rzujFGfb3WrdO6daZp\nsykuTuPGKSHB5LwJExQa6qOP0AMR7AAAwFcLDlZ8vOLj9Z3vmCOff+55P8/h8L5gckuLtm7V\n1q16/31zJCxMSUnmua1r+m2/fr77FJZHsAMAAGfjwgt16aW69FLTrKvT+vWenFdWpmPHvPRq\naFBJiUpKPEdiY03Oc/05apQParcsgh0AADgHIiOVna3sbNNsbtbWrZ6c195et5K2b9f27Xrv\nPdPs398zFSMtTQkJCgvzRf3WQLADAADnXlCQxo7V2LG69lpz5NAhORwqL1d5uRwOVVZ6n41x\n+LAKClRQYJqhoUpM9Dy3TUvTgAG++QQBiWAHAAB8YdAgzZypmTNN0+nU1q0qK9OaNbLbVVWl\nXbu89GpsNLf93EaO9Dy3TUtTbKxsNl/UHxAIdgAAwA9c29SOG6dvf9sc+eILz3Nb1y29xkYv\nHXfs0I4d+uc/TbNvXyUnKyXF3NVLSlJUlI8+QjdkhWD30ksv/eY3v9m1a9fw4cNvuOGGn/70\npxEREf4uCgAAnJmBA0+5pdfQoIqKU6Le4cNeeh05osJCFRaaZlCQ4uKUlqaUFPMVG+uj+ruD\nAAt2BQUFjzzySGlpaXR09He/+90nnnjilVdeueeee1w/3bp161NPPfXRRx/l5+eT7QAACGhh\nYUpPV3q658j27WavW1fO277dS6/mZm3Zoi1b9O675ki/fibhTZuma6+1+HPbQAp2BQUFs2fP\nbmpqkvTZZ58988wze/fuXbx48bBhw1599dVJkyaVl5ffdNNNq1evfvbZZx9//HF/1wsAAM6l\n2FjFxuqb3zTNw4dVVma2x3A4VFHhfTZGba1WrtTKlZo3T7t26cc/9mXJvhbk7wLOwM9+9rOm\npqarr7567969u3btuuqqq15//fVDhw49//zzs2bNioqKmjx58gsvvCDpr+4d7AAAgEX1769p\n03T//Xr5Za1ZoyNHVFWld97RT3+qr39dI0Z46VJV5fMqfSuQ7titW7dO0rx584YMGSLpxRdf\n/Oc//ylppvtpvJSbmytpy5YtfqoRAAD4R3Cwxo/X+PG67jpzpKbGLJVcVqbiYoWH66GH/Fri\n+RdIwc5ms0kK/XKHOduXD8mDg4Pd5zQ0NEgKCgqkO5EAAOB8GDBAM2Zoxgx/1+FDgRSAsrOz\nJf3oRz/6/PPP9+/f/8ADD7iOF7gXMZRWrFghacKECf4oEAAAwJ8C6Y7dU089NXPmzDfeeOON\nN95wHbn33nuXLl364IMP9u3bd+LEiatXr37wwQcl3XDDDZ38nU6nc8mSJfX19R2cU11dLam5\nublL1QMAAJxngRTspkyZsmLFiscff7ywsDAqKur6669/5plnZs2a9a1vfav1a3aZmZn3339/\nJ3/n8uXLr7rqqs6cubu9Le4AAAC6h0AKdpJycnKWLVvW+sjVV1+9YMGCJ554YuPGjYMHD/7W\nt741d+7cXr16dfIXTp8+PT8/3+l0dnDO3/72txdffHH8+PEfffTRWVfe1NT09ttvX3TRRbz/\nd3aam5urq6tHjRrFAJ4dBrCLGMAuYgC7iAHsuubm5s8+++z6668PCelq+KmoqDgnJZ0XLfgq\nv//97/39/yUAANC9zJs3z98JxYsAu2PnFzfffHOvXr26+I7dunXrXn755SuvvHLs2LHnqrAe\nZfPmzYsXL2YAzxoD2EUMYBcxgF3EAHadawy///3vZ2Vldf23BQUFXedeVaVb8XeyPAcC4oO4\n1kz+61//6u9CAhUD2EUMYBcxgF3EAHYRA9h1PWQMeVQPAABgEQQ7AAAAiyDYAQAAWATBDgAA\nwCKsMCu25cv5EwAAAD0Zd+wAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBzkciIiIkRUZG+ruQ\nQMUAdhED2EUMYBcxgF3EAHZdDxlDG1NKfcPpdK5atSo3Nzc4ONjftQQkBrCLGMAuYgC7iAHs\nIgaw63rIGBLsAAAALIJHsQAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDY\nAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAA\nWATBDgAAwCIIdr5QUFAwa9asgQMHDhgwIC8vb/Hixf6uqPuaPXu2zZs2pzGkbdx1112nj5Jb\nZ4arhw9pBwPINdmBEydOPPXUU6mpqX379o2IiIiPj3/ooYdqamranMYV2J7ODCBXYHsOHDhw\n1113XXTRReHh4XFxcddee21paanXM3vWFdiC82zhwoXBwcFthv1///d//V1XNzVixIivvFAZ\n0jaOHz9+wQUXtPfXuTPD1cOHtOMB5Jpsz/Hjx7Oysk4fmfj4+JqaGvdpXIHt6eQAcgV6deTI\nkdGjR7f5yMHBwUuWLGlzZk+7Agl255f7H4yHHnpo//79tbW1zz//fFBQUK9evXbs2OHv6rqd\nEydO2Gy2kJCQhoaG9s5hSFs7dOjQkiVL8vLyTv8PvUtnhqsnD+lXDiDXZAd+/etfS4qOjn7n\nnXcOHz5cW1v7j3/846KLLpL04IMPus7hCuxAZwaQK7A9c+fOlTR69OhVq1bV19dXVlbOmjVL\nUmZmZuvTeuAVSLA7v/7v//5P0qxZs1ofvP766yXNnTvXX1V1W2VlZZLGjBnTwTkMaWsd/C94\nl84MV08e0q8cQK7JDqSnp0tasGBB64Mff/yxpJiYGFeTK7ADnRlArsD2JCcnS3r//ffdR3bv\n3i0pPDy89Wk98ArkHbvzy/VX9Pbbb299cM6cOZI++eQT/9TUjW3atEnSuHHjOjiHIW3N/Te5\nvRM6M1w9eUi/cgC5JjuwdetWSa7bJG4TJ06UdOjQIVeTK7ADnRlArsD2bN++XdLFF1/sPtLU\n1CRp8ODBrU/rgVcgwe78Ki4ultTmLYrs7Gx9+dcVrbnGZOjQoffee++QIUPCw8OTkpKeffZZ\n119XF4b0jHRmuBjSDnBNdqC2tralpaV///6tD+bn50uKj493NbkCO9CZAeQKbM/Ro0dbWlr6\n9u3rau7evfsHP/iBpDvuuKP1aT3xCvT5PcKeZeDAgZKOHTvW+qBrxlOb28VoaWm57bbbJJ0+\n2+trX/ua+/0ShtSr9v46d2a4GNKW9geQa/KM5OfnDxo0SNKbb77pOsIVeEZOH0CuwM5wD8u9\n997rdDpb/6gHXoEEu/PLNcumzXXm+l9awcHB/qqq23LdVM/MzPzkk0/q6ur27t37u9/9rnfv\n3pJ++ctfus5hSL1qL5d0ZrgY0pb2B5BrspMOHjz4/e9/37UMx89//nP3ca7ATmpvALkCO8Md\n7IKCgu68886TJ0+6f9QDr0CC3fkVEREh6ciRI60PHj9+XFKfPn38VVVgefnllyWNHz/e1WRI\nvWovl3RmuBjSlvYH0CuuydacTue8efNc9zzGjh378ccft/4pV+BX6ngAveIKbKO5ufnAgQP/\n/Oc/x44dK+mRRx5x/6gHXoG8Y3d+RUdHSzp48GDrg/v27ZMUExPjn5oCzTe/+U19+Z6sGNIz\n1JnhYkjPFNek2/79+/Py8u67776Wlpbnnntu/fr1M2fObH0CV2DHvnIAveIKbMNmsw0ePHjO\nnDlvvvmmJNefLj3wCiTYnV8JCQmS1q5d2/qga/p6SkqKf2oKNI2NjZL69OnjajKkZ6Qzw8WQ\nnimuSZf6+vrZs2evWLHiyiuvrKqq+tGPfhQWFtbmHK7ADnRmAL3iCpQUERFhs9napLEJEyZI\nOnDggPtID7wCCXbn1+zZsyXNnz+/9cHXX39d0mWXXeafmrqx6Ohom81WVVXV+qBr9CZNmuRq\nMqRnpDPDxZB2gGuyA6+88kpZWdmMGTMWLlzoWt/1dFyBHejMAHIFtmf8+PGSCgoKWh9cuXKl\npNY7UvTEK9Dfz4It7uDBg1FRUZIee+yxL774Yv/+/Q8//LCkYcOGtZmAg5aWlptuuklSSkpK\nQUHBiRMndu/e/dvf/jY8PFzSBx984DqHIfWqvb/OnRkuhrSl/QHkmuzA5ZdfLqm4uLiDc7gC\nO9CZAeQKbM/TTz/t+oxLliypq6s7ePDg/PnzXfn417/+tfu0HngFEuzOuzfeeKPNTPWwsLDT\nN7NDS0vLzp07XdvptHH//fe3Po0hPV0H/zutM8PFkLY3gFyTHfA6Mm7u07gC29OZAeQKbE9d\nXV1qaurpI3PJJZe02X6tp12BBDtfWLp06bRp0/r06TNgwIBLL720sLDQ3xV1XzU1NY8//nhi\nYmJERES/fv2mTp36+uuvn34aQ9pGm39K2+jMcPXwIe1gALkm2+OaS9hxLnHhCvSqkwPIFdie\nmpqaH//4x6NHjw4LC4uKisrKyvqf//mfxsbG08/sUVegraX9vXQAAAAQQJg8AQAAYBEEOwAA\nAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg\n2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEA\nAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgE\nwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4A\nAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAi\nCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYA\nAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAW\nQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbAD\nAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAi/j+52+Xnbvk7xAAA\nAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"||pi^T-q||\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/optimaltransp_5_entropic/exo1.R\")" ] }, { "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": [ "a_diag <- array(0, c(length(a), length(a)))\n", "diag(a_diag) <- a\n", "\n", "b_diag <- array(0, c(length(b), length(b)))\n", "diag(b_diag) <- b\n", "\n", "Pi <- (a_diag %*% xi) %*% b_diag" ] }, { "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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ImNLNj1MW/ePN4p3tINGzYox7VCkPe8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\n+Mc/VkYBw1/84hep57G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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=4, repr.plot.height=4)\n", "\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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6WUWJwNHjzYZrMhuk4N+OjVq1cgEEBul8/no3xeiFr08544caJQpDCugjBkVVsa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PPy8IAhrj8kthTFLb0GLt2rWI0SDdkDH2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VqggMau9ysaxpfhCuEOUplaWloatiMFjHLA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\nHp98mE+9m5OTU7x48Ugkos9jdPXVV/P+Im7t88IM6QrVcdosNOHnn39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77rqrsKdJOAgLNI82RpTDzZyqf6rpOTM8gWzOEuxSli/eNTU1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\nyA4OAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"gamma= 0.001\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/optimaltransp_5_entropic/exo2.R\")" ] }, { "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": [ "a_diag <- array(0, c(length(a), length(a)))\n", "diag(a_diag) <- a\n", "\n", "b_diag <- array(0, c(length(b), length(b)))\n", "diag(b_diag) <- b\n", "\n", "Pi <- (a_diag %*% xi) %*% b_diag" ] }, { "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": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "nonzero <- function(X){\n", " n_r <- dim(X)[1]\n", " idx <- which(X != 0)\n", " I <- mod(idx-1,n_r)+1\n", " J <- ceiling(idx/n_r)\n", " return(list(I=I, J=J))\n", "}" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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yasWrVK07SffvoJwMSJE+X5fwO6Gi6aFQjQSyUyJC823K/a4tyqVSu7ByU3ietq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\nAgeASGAyAKAcEGj7EKZPn/64Hrudffv27d69226l1WoVqf4ATJ0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S4NlnnxXXfc/wNK4DzwMlHOWSvKXc/tatW59mgSnjYGBHGZrMVCxk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\nMArYDGQAe4FQoJZw90rACGADH4xXu8zlN65atao23V4Oi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2HQtnr16j/8Efs/jnLDrhw/gpycHG2mg1JgPLCMGW1qMDkZmhZ35sUOCAho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DkyevRoObtXoHDhwoIrShxa/NfZ2Tk4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\nJCr7DwKgz2AtAWQBI5SdGzZ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AM7IiIi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\nsggGdkREREQWwcCOiIiIyCL+H0OKSZKxFHrtAAAAAElFTkSuQmCC", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "plot(1, type=\"n\", axes=F, xlab=\"\", ylab=\"\",\n", " xlim=c(min(y[1,])-.1, max(y[1,])+.1),\n", " ylim=c(min(y[2,])-.1, max(y[2,])+.1))\n", "\n", "plotp(x, 'blue')\n", "plotp(y, 'red')\n", "\n", "A <- Pi * (Pi > min(1./N)*.7)\n", "nonzero_A <- nonzero(A)\n", "i <- nonzero_A$I ; j <- nonzero_A$J\n", "for (cpl in 1:length(i)){\n", " lines(c(x[1,i][cpl], y[1,j][cpl]), c(x[2,i][cpl], y[2,j][cpl]), lwd=2)\n", "}\n", "\n", "\n", "A <- Pi * (Pi > min(1./N)*.3)\n", "nonzero_A <- nonzero(A)\n", "i <- nonzero_A$I ; j <- nonzero_A$J\n", "for (cpl in 1:length(i)){\n", " lines(c(x[1,i][cpl], y[1,j][cpl]), c(x[2,i][cpl], y[2,j][cpl]), lwd=1, lty=2)\n", "}" ] }, { "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": 23, "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": 24, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "t <- 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": 25, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "Gaussian <- function(t0,sigma){ exp(-(t-t0)**2/(2*sigma**2)) }\n", "normalize <- function(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": 26, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "vmin <- .02\n", "p <- normalize( p+max(p)*vmin)\n", "q <- normalize( q+max(q)*vmin)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the histograms." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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0w2EwDwkdQLdi6Xy/vCe3Lu9OnTk3/6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\nBMEOAABACYIdAACAEv8DRwStvQch9G0AAAAASUVORK5CYII=", "text/plain": [ "plot without title" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "par(mfrow=c(2,1))\n", "\n", "plot(t, p, col=\"blue\", type=\"h\", xlab=\"\", ylab=\"\")\n", "plot(t, q, col=\"blue\", type=\"h\", xlab=\"\", ylab=\"\")" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Regularization strength $\\ga$." ] }, { "cell_type": "code", "execution_count": 28, "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": 29, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "grid <- meshgrid_2d(t,t)\n", "Y <- grid$X ; X <- grid$Y\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": 30, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "b <- rep(1, N)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "One sinkhorn iteration." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "a <- p/(xi%*%b)\n", "b <- q /(t(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": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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kzRlCmqVEk+PnrtNVWtalxWADCaXaLt3BLU3d396NGja9euffnll5OObNq0qXHj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YDMPy+vmbghyxZs0ai8WS4X/+7Nmzje4L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\nwQ4AAMAkCHYAAAAm8X/in88TWIMplQAAAABJRU5ErkJggg==", "text/plain": [ "Plot with title \"||pi^T-q||\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=7)\n", "\n", "source(\"nt_solutions/optimaltransp_5_entropic/exo3.R\")" ] }, { "cell_type": "code", "execution_count": 33, "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": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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/3kCGgAr8W3QpuZNkQroDViNE62K8tyPp+bmc/4J6CNgAbwenyd0My2262KaDPT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\nA0BSBDQAJEVAA0BSBDQAJPV/SgPbIvuUPiQAAAAASUVORK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a_diag <- array(0, c(length(a), length(a)))\n", "diag(a_diag) <- a\n", "\n", "b_diag <- array(0, c(length(b), length(b)))\n", "diag(b_diag) <- b\n", "\n", "Pi <- (a_diag %*% xi) %*% b_diag\n", "\n", "options(repr.plot.width=4, repr.plot.height=4)\n", "\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": 35, "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": 36, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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DILrPaNpMPUlvYcV23ujsHJpc1uldQd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\nvOeeaKEQc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WI6ABrBfVg/Z9Xy0prLV8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\nRK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(log(Pi+1e-5))\n", "lines(s*N,t*N, col='red', lwd=3, xlim=c(0,N), ylim=c(0,N))" ] }, { "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": 37, "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": 38, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "names <- c('disk','twodisks','letter-x','letter-z')\n", "vmin <- .05\n", "P <- array(0, c(N,N,length(names)))\n", "for (i in 1:length(names)){\n", " p <- as.matrix( load_image(paste(\"nt_toolbox/data/\", names[i],\".png\",sep=\"\"),N) )\n", " p <- normalize(rescale(p)+vmin)\n", " P[,,i] <- p\n", "}\n", "\n", "K <- length(names)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the input histograms." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAJYCAIAAAAxBA+LAAAABmJLR0QA/wD/AP+gvaeTAAAN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\nAKQJIQBpQghAmhACkPYPtuH8cIIwg/0AAAAASUVOR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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=5, repr.plot.height=5)\n", "\n", "for (i in 1:K){\n", " imageplot(P[,,i], '',c(2,2,i))\n", "}" ] }, { "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": 40, "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": 41, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "n <- 41 # width of the convolution kernel\n", "t <- seq(-n/(2*N),n/(2*N),length=n)\n", "g <- exp(-t**2/gamma)\n", "g2 <- g %*% t(g)\n", "xi <- function(x){ t( as.matrix( convolve( as.cimg( t( as.matrix( convolve(as.cimg(x), as.cimg(g2)) ) ) ), as.cimg(g2) ) ) ) }" ] }, { "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": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=7, repr.plot.height=3.5)\n", "imageplot(P[,,1],'',c(1,2,1))\n", "imageplot(xi(P[,,1]),'',c(1,2,2))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "deletable": true, "editable": true }, "source": [ "Weights for isobarycenter." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "lambd <- rep(1, 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": 44, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "b <- array(1, c(N,N,K))\n", "a <- 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": 45, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "for (k in 1:K){\n", " a[,,k] <- P[,,k]/xi(b[,,k])\n", "}" ] }, { "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": 46, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "q <- rep(0, N)\n", "\n", "for (k in 1:K){\n", " q <- q + lambd[k] * log(pmax(1e-19*rep(1, length(b[,,k])), b[,,k]*xi(a[,,k])))\n", "}\n", "\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": 47, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "for (k in 1:K){\n", " b[,,k] <- q/xi(a[,,k])\n", "}" ] }, { "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": 48, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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Q2zZiEpSVC+F49lRySRatUwfjySkhAXh169SlxVJS0Ns2fD3R0tW2Llygp42zOW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\nRK5CYII=", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "source(\"nt_solutions/optimaltransp_5_entropic/exo4.R\")" ] }, { "cell_type": "code", "execution_count": 49, "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": 50, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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WiBYgegBYodgBYodgBaoNgBaIFiB6AFih2AFih2AFqg2AFogWIHoAWKHYAWKHYA\nWqDYAWiBYgegBYodgBYodgBaoNgBaIFiB6AFih2AFih2AFqg2AFogWIHoAWKHYAWKHYAWqDY\nAWiBYgegBYodgBYodgBaoNgBaIFiB6AFih2AFih2AFqg2AFogWIHoAWKHYAWKHYAWqDYAWiB\nYgegBYodgBYodgBaoNgBaIFiB6AFih2AFih2AFqg2AFogWIHoAWKHYAWKHYAWqDYAWjhfyfk\nNZqLG8xCAAAAAElFTkSuQmCC", "text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=3.5, repr.plot.height=3.5)\n", "\n", "imageplot(as.cimg(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": 51, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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3/+/OnTJ9wtilvtvdHGfEG5FHGOcIsZ/TP0LZSTtSjX19d3d3f39/e83XY4HEKE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9Oy6YoJ5WFiOiUtd1IhUbpHtsfFHVbeY5bcE2pvtmxWbkRbsPLMnpQ4nU5TSoeHhxY5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\nX758+fjx46dPnxRNVNVNPAQwynvoAF4VHckue1fiYEOh+J0rwdTZYqGib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1EfCo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\nUrRiWcFsldwcHR19+vRJ8WxV3bhHxVWRHti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"text/plain": [ "Plot with title \"\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "options(repr.plot.width=9, repr.plot.height=9)\n", "\n", "source(\"nt_solutions/optimaltransp_5_entropic/exo5.R\")" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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": "raw", "metadata": { "deletable": true, "editable": true }, "source": [ "" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 1 }