{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Dictionary Learning\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"], "metadata": {}, "cell_type": "markdown"}, {"source": ["Instead of using a fixed data representation such as wavelets or Fourier,\n", "one can learn the representation (the dictionary) to optimize the\n", "sparsity of the representation for a large class of exemplar."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('solutions/sparsity_4_dictionary_learning')"]}, {"source": ["Dictionary Learning as a Non-convex Optimization Problem\n", "--------------------------------------------------------\n", "Given a set $Y = (y_j)_{j=1}^m \\in \\RR^{n \\times m} $ of $m$ signals\n", "$y_j \\in \\RR^m$, dictionary learning aims at finding the best\n", "dictionary $D=(d_i)_{i=1}^p$ of $p$ atoms $d_i \\in \\RR^n$ to sparse\n", "code all the data.\n", "\n", "\n", "In this numerical tour, we consider an application to image denoising, so\n", "that each $y_j \\in \\RR^n$ is a patch of size $n=w \\times w$ extracted\n", "from the noisy image.\n", "\n", "\n", "The idea of learning dictionaries to sparse code image patch was first\n", "proposed in:\n", "\n", "\n", "Olshausen BA, and Field DJ.,\n", "\n", "Nature, 381: 607-609, 1996.\n", "\n", "\n", "The sparse coding of a single data $y=y_j$ for some $j=1,\\ldots,m$\n", "is obtained by minimizing a $\\ell^0$ constrained optimization\n", "$$ \\umin{ \\norm{x}_0 \\leq k } \\frac{1}{2}\\norm{y-Dx}^2 . $$\n", "where the $\\ell^0$ pseudo-norm of $x \\in \\RR^p$ is\n", "$$ \\norm{x}_0 = \\abs{\\enscond{i}{x(i) \\neq 0}}. $$\n", "\n", "\n", "The parameter $k>0$ controls the amount of sparsity.\n", "\n", "\n", "Dictionary learning performs an optimization both on the dictionary $D$\n", "and the set of coefficients $ X = (x_j)_{j=1}^m \\in \\RR^{p \\times m} $\n", "where, for $j=1,\\ldots,m$, $ x_j $\n", "is the set of coefficients of the data $y_j$. This joint optimization reads\n", "$$ \\umin{ D \\in \\Dd, X \\in \\Xx_k } E(X,D) = \\frac{1}{2}\\norm{Y-DX}^2 =\n", "\\frac{1}{2} \\sum_{j=1}^m \\norm{y_j - D x_j}^2. $$\n", "\n", "\n", "The constraint set on $D$ reads\n", "$$ \\Dd = \\enscond{D \\in \\RR^{n \\times p} }{\n", " \\forall i=1,\\ldots,p, \\quad \\norm{D_{\\cdot,i}} \\leq 1 }, $$\n", "(the columns of the dictionary are unit normalized).\n", "The sparsity constraint set on $X$ reads\n", "$$ \\Xx_k = \\enscond{X \\in \\RR^{p \\times m}}{ \\forall j, \\: \\norm{X_{\\cdot,j}}_0 \\leq k }. $$\n", "\n", "\n", "We propose to use a block-coordinate descent method to minimize $E$:\n", "$$ X^{(\\ell+1)} \\in \\uargmin{X \\in \\Xx_k} E(X,D^{(\\ell)}), $$\n", "$$ D^{(\\ell+1)} \\in \\uargmin{D \\in \\Dd} E(X^{(\\ell+1)},D). $$\n", "\n", "\n", "One can show the convergence of this minimization scheme, see for\n", "instance\n", "\n", "\n", "P. Tseng, ,\n", "J. Optim. Theory Appl., 109, 2001, 475-494.\n", "\n", "\n", "We now define the parameter of the problem.\n", "\n", "\n", "Width $w$ of the patches."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["if not(exist('w'))\n", " w = 10;\n", "end"]}, {"source": ["Dimension $n= w \\times w$ of the data to be sparse coded."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = w*w;"]}, {"source": ["Number of atoms $p$ in the dictionary."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["p = 2*n;"]}, {"source": ["Number $m$ of patches used for the training."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["m = 20*p;"]}, {"source": ["Target sparsity $k$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["k = 4;"]}, {"source": ["Patch Extraction\n", "----------------\n", "Since the learning is computationnaly intensive, one can only apply it to\n", "small patches extracted from an image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["if not(exist('f'))\n", " f = rescale( crop(load_image('barb'),256) );\n", "end\n", "n0 = size(f,1);"]}, {"source": ["Display the input image."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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AjphyPJxJluV1XbdQKMAV1uFtvh1IKfvYhBMjn1CMAjtS0YkyBLu4d2vwTbrr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3t6egD6nZyc2O32//7v/8bIMRgMQAjn5uaoj/nIyAikyyYnJ09PTxERjoyM/Pu/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\nAABW+ht4xh5yD4ckRgAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(clamp(f));"]}, {"source": ["Random patch location."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["q = 3*m;\n", "x = floor( rand(1,1,q)*(n0-w) )+1;\n", "y = floor( rand(1,1,q)*(n0-w) )+1;"]}, {"source": ["Extract lots of patches $y_j \\in \\RR^n$, and store them in a matrix $Y=(y_j)_{j=1}^m$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[dY,dX] = meshgrid(0:w-1,0:w-1);\n", "Xp = repmat(dX,[1 1 q]) + repmat(x, [w w 1]);\n", "Yp = repmat(dY,[1 1 q]) + repmat(y, [w w 1]);\n", "Y = f(Xp+(Yp-1)*n0);\n", "Y = reshape(Y, [n q]);"]}, {"source": ["We remove the mean, since we are going to learn a dictionary of\n", "zero-mean and unit norm atom."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Y = Y - repmat( mean(Y), [n 1] );"]}, {"source": ["Only keep those with largest energy."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["[tmp,I] = sort(sum(Y.^2), 'descend');\n", "Y = Y(:,I(1:m));"]}, {"source": ["We consider a dictionary $D \\in \\RR^{n \\times p} $ of $p \\geq n$ atoms in $\\RR^n$.\n", "The initial dictionary $D$ is computed by a random selection of patches, and we normalize them to be unit-norm."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["ProjC = @(D)D ./ repmat( sqrt(sum(D.^2)), [w^2, 1] );\n", "sel = randperm(m); sel = sel(1:p); \n", "D0 = ProjC( Y(:,sel) );\n", "D = D0;"]}, {"source": ["Display the initial dictionary."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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53g94+kdBvYEVRVEUo6QeYEVRFMUomfsSIvWAYYneRRLMLbUkzFuM9sghpqzD\nIHo76UfORMf4R4fJbci5IrUNY09SpKMnFxU9+uijI2At4/gijBx66KERMBwedthh1mCLXGo9tEdC\nU+4hREghYnzhC1+IgIRIz2RZdK4Gce1IiLaidkNuhU5Z0prdCdRwK5cq6Nlzzz0jIIsRkUhn7KZ0\ntgMPPNAa+D8Jrc58j53PEiIxh3SmzixhimREp23p8HNbqQkU2zUwcj8wzknuO4V6jTGj9Mgjj4xg\niuzcki+OW89AchTZv0dOVFab3m48ZOtpT6/hKz/Nu2ucc/Spdt1S8V+XYIpM6hdDTd6WbupHHnkk\nAgoq3c9RELpvueUWa5ii6SnzoZ6IGiXKnbQ0ulTsVbfFhgwVhY9HQb2BFUVRFKOkHmBFURTFKFmA\nm6soiqIoRkS9gRVFURSjpB5gRVEUxSipB1hRFEUxSuoBVhRFUYySeoAVRVEUo2TuJzJroCA/Ue+P\nddddN4JcMk5qrURUObOaxCsG2FcSaylnVk609a+55poRrLHGGhHIcW4p41UhPvmqL3vZyyZWPogi\nimeddVYEiihqO6LVyAknnBCBWnattZ133jkCGazbbbfdxFZ01lA9L/cH8anib1deeWUEZ599dgSr\nrLJKBPPmzYsgd2rPeeXBBz7wgQgk2wo+/vGPR5CTiKUhq33ncHxRNro82Yw2E3ZGy/mPfOQjESjW\nt/HGG0cgETXH2re7BH1RRJm5uSak/Fap8a6+/HStcHJyvWGZ06InUBZPL6Fdd93Vpy6Z7GMVIJXZ\n1EVF/5Fcf+/73//+xBbdUEcddVQEyy+/fARywyUOtzSoJAirWikp2GA74IAD+mO0vLoBxx13XARn\nnHFGBEapMeYmban/yPnnnx/Bc889F0Hfhcfm1Jls6YbSrsVQl5etU4+mPyo0ttT356Mf/ejEFpUd\n+JM/+ZMInFv1MFvqPqPoovqKct6NhzxmBsuEzirqDawoiqIYJfUAK4qiKEbJ3JcQ6TBKq2mPonxc\n7lvhvV4JMq/bejSTdAZRCU2HCwKgGoDannr3zyiS1h9FT+68oNk0dYvKp0+K4myW0dykJUkqV6Wb\nQC07h5O7vdBLH3rooYkvqsCmYpudt6pB1C1U/I3QoQpcxpknzTmlugBPF2NhMY1pNL3VRUV3D9Jo\nS82mVaXL5ekmcC3yhVY0z1ErWGcEqlyX1ewpPXxByCKk61rSkmxFYSNa0qPs1SabbBKBDjWDuGRu\nB8srSJiLN1pMYU81/d761rf2+9xDj3Xva6JNTHPJaG65pVKecpkAACAASURBVIsbShVB9RV7CdFF\nMcZaOktGuA7vCnsaY3S8PKpzc5YJ/HrQHs2YZAnRFtVidZOqQWraYkr9zFlIvYEVRVEUo6QeYEVR\nFMUoqQdYURRFMUrm/hyYFuAaeJOqf/3rX0dgVqwl9ZmR2pwHUd6UDGU8Q182n2EWTfcv6nyeiTFJ\nQNo2c2M6pCd3gufOX2SRRSL40pe+FMGtt94awYorrjixOQbfvHw+JxOQ9fXiyi2LTH2ZTZQMoHK0\nhAEt1pizB7F+lvf58+dHwAcsaaGlSSDTdSY2nFJd1QdxCSzGzO1aSFp4+ctfPhG0NIno0PJs5R+C\nXTVt6YT3x/V/Cl+4fmA77rijT3X/0uJL77crrrgiAskkbPRs8YPYeZfM5OtTTz0VgZna1to//uM/\nRtD3imPu16tvEPfpgw8+GIEOZO4Cw4bv/+mnn7YGE5/u0z/kIg7e1K6Ua2dqyg+FybM8FTo4TR7I\nTDCTJ2cj/2Kw9fsp0wbML5I0CXkCo6DewIqiKIpRUg+woiiKYpTMfQmRr5Q2qDs4kYdYkRdjctV9\nnDJA8RiEDuD1nPDFSE3GzFoBL7UNceT3xnpkCZHrlzBCuKAF+Yg0odxAS0qj89ZDGyTPZs2Ef9d5\n4/D2Rcbowfz/HmKLS0a8pdo988wzllcFg1yjnAppRZv5QXq/PgWM/nnfffdFQH7Juo31s/Lfcccd\nM23OcVGb86ZXXXXVCJZddtkIqGoEnzyQ+kSOPmfgBz/4QQQGxkYbbeRT8iClURUVF53VfoMNNoiA\n1X4QznV1NBwF1Z2Zu6XxY1dVGzGiSIKDyNZw+E6XEeJepqplCzv1m66Yq41MYCjmGwqGOkiplqcV\nZ/Kv0wRKwFiVJAeTCK21tdZaKwIj1kV37aiLF110kS+61rOWegMriqIoRkk9wIqiKIpRMvclRG/l\nRCQSgfduXriWXGcW8ykX4pSX+pYchrQjeoV9GCzeSuiw6X5VPdkWRb4jDzITWkzxgsFaG7ya9M8e\nX7SqJ5980qdkCvusPjJXGG0Hlhmkr1DQFyHN9A5DO+MkUxcHsTznJNVXAQ6XlXSWi5+SahV8mVJS\nwYXOpSWMNxK06g/OpCIgWfiiHE4p4EJtVmuDJNhSZVvVb5XN3WWXXSaWueCCCyLYY489ZtpcSydQ\nfeSf/exnEVDqVKhpSXF1u9HoKOq06EFIlEY1eZ+MyQlpTA46AHlrDe8e+mTWwynb2aEaGD/GpFFt\nNqFN9QNzY5555pkR8FtSF1tS4J0QMwuqC9n03Xff7YvbbrvtTJueJdQbWFEURTFK6gFWFEVRjJK5\nLyFKrvQu702fupgVMGoG15mGSVtttVUEgy6jHp40+lifk5jtYUQnmklWEmZC6mJLr/+9cEpFoWiR\nSrJGQXybUszX8mTGLAmSKRwa7yV9gyrLTJg7afX0CZ5EpEGVjA2PNEcwtKrBKsDgQrQGAiARaf31\n14+A48tJbunMy7nOLbsmcOlVZc176HAcLOWHgiorvyUdcsr4kb982GGHRZDluC222CICAqMGWtqA\nMbDRHiU7txeKgYEzaYQwatJgcxatgUp7dNRuWOd2EKeLoxhkzAsvvDACGlq+SS3GrDgoWQeDOj8J\n2qduH0PR/e6HIltkp0xY0GA1+ZMJrv1hSzMLt912WwTuXHXM2Rf7tPHZTL2BFUVRFKOkHmBFURTF\nKJn7EiL9oVckmHNyDTfploxe6q2RBLNcMwUyFzmOUMYnlkUe2gW9yxetqpcpsuJBmvNHW7Qq+icp\nI+s2g9nNM23RF7MTUv4pGdN5u//++yMg18jMneLQa0MJniQ+ZybXQnRWbchiAp20BlO2HZrxQIch\nhe2www4RUHIELeldJKCcpTuBfVCjL6NMnx5jREtCpROSMZB6hVYTr+OPPz6Ck08+2afnnntuBLrd\nH3300RNf3H///SOgX1188cXWcOyxx05s0Xn40Y9+FIHLyhIpj76lu4ws5mBJ5dOHjTFPzTYUib1G\niDsri9KXX355BC76lF5rvUmyJQcp2dN5MGIJelaet5Jz2ye46aabIjCYB8eYHG3jk1LNjmhoZRl8\n9lNvYEVRFMUoqQdYURRFMUrmvoSokBr1QOuBQR8agZHepX85h96UemiDq/UXutxghnLfeYHlqZcE\nB1GxzRepKNxQvaVNOmT+dMqGWAcJOFn5cZYYnCwmG5RFjeqSxbeePsEzJ4BPLNOGSkfSo+zelEzt\nNtROxSnVw0KTl89//vMRSD1uSe+yhikZqcS0vOcLLbRQBAQlYp0RxeGZ29gb6lMkROy7774RHHDA\nAf7Ik7bNNttEcNVVV0WgOiLrIJmRo68NSYhqSBp4nHLOjPzijCb3vsj1OkWVzfTdiNx3feGCrOpz\nnDqBU8yr7t9sLVb/013jsvYnxO2QU6Fze5cJSIjUSMJ1PpPf/va3IzCqDV3FJJkPp7tzZxtj2tei\nKIqiQD3AiqIoilEy9yVEqt1qq60WgWxBr885bZDm5k2fSqNzcZ8XmSEgkIP6snsEnyyFEZ0YIH2x\nb4eB/MpPrCM7EA36jiTrrLNOvwa2qylZt4xV5JHsQrQhegg1Q+E+tk9KDo/oIC6ZXWW6cyYHVTJi\nLF3IqqbXQuyFlL6ttqGlnl42jJFJ5cBmkXMC5sM8tIwHJr1vfOMbEVCfqHCD7VSmlNBUwFA/ZSJh\nS9bEq6++OgIlEPfee+8I6JlkRn8ZxDBg6yUADmYcE70dPiOf4b3CCitM2aLDdzVpiT7q/+LstXSz\n2MMpvdHpfnloWa1fA8flLwZnP8XQpt77TqkfK/e7GZCWTJtuaou5c5353Idl9lNvYEVRFMUoqQdY\nURRFMUrqAVYURVGMkrk/B6bduzbkcs65unMzKlMXr3zlKyOQmq4csFmxQUwR8ZFzV/cTNnnqojd/\nY4oOntdA6yfHM++S15deeukITGaY22utfelLX4pA5eIehyPD36xGa22llVaKwFyCGr5SFJwZs2i/\n+MUvZtpcSz5ycxL2wYxUnnhwTpS1dcItpo39IP2UoWkJH5k/EHzwgx+0BpMlgp/85Cczbe69731v\nBJdccok/muHQeYuD/9JLL41AkY6VV17ZF022ZVv/BKpmmAPLO6/IiErWa6+9dgQc/yp3XHvttREo\n7zuIw3/1q18dATO3JIqcoKLcsGFjnsb1leIyiNkmF9Fsd193wxjzrTZUHGfKtKJ5WXO9LZV0MSVs\nDRYzOM1o5roqU2ri+Glab731IpDsYbq0pcNXVsa9yWFvZ/xgjoJ6AyuKoihGST3AiqIoilGyQH5f\nLoqiKIqxUG9gRVEUxSipB1hRFEUxSuoBVhRFUYySeoAVRVEUo6QeYEVRFMUomfuJzEcccUQECt3K\nmpQt+Nhjj1neH+UP5uKegazGQQ+nJNB11103Apmeuom/4x3viGAwJ1qqrIqc0nV33333iYVzLy65\npWeeeWYEKsnqWSWrcdVVV41g/vz51iDNWVN5VV9hDTpCZaTiCrSGOvvssyNYc801I5A8K6O5pUq1\nWHjhhSPYaaedIpB+K3lWVmxr7eijj45ACrAU71NOOSUCtYzlp2dOPPHECPSTUwxaAVkJtgceeGAE\ncuRbyi296KKLInARVZHGhz/84QhyWeQrrrgiAgm8u+22WwTvec97Ijj88MMjMM5bumTO/Lx58ya2\naGck17usLaWxOwp1AF772tdOrMoaZNG2F16OQBKxTUsz/9WvfhVBLmIr211q/BJLLBGBZGp9sKTo\nZtSMPu+88yaOQgFiJ/yrX/1qBDmJ2HiT0Sz9v8/aXnTRRSPII8rPiDVYv79AVd/cOs7vTy4XEDz6\n6KMRyMp3dRRfbunXxq/HO9/5zok1bLTRRhEYWi2d8FlLvYEVRVEUo6QeYEVRFMUomfsSIsHHe732\nQiqJ5ZJx1Ay6oqbj3v2nFC1srS233HIRKKto0/oY6XCfK/h5eVc8UBm9Kd3oL7vsMvG73vWuCJRA\nPOeccyZWtdZaa0Wg2KOakK2173znOxHkFvUTKOZGx9trr718+oUvfCGCjTfeOALq5emnnx4BUYhU\nddBBB820uZa0yuOOOy4CxQOpavvuu6/lffrxj388gq233jqCb33rWxEceeSRU7Z4xx13RLDhhhtG\noDQfNdIyP/rRjyIgM7Ykik45k3AC119/fX889dRTI3DUPj3jjDMioAMTIVsaEiTlXkKEspm5db0/\n6nBG3BPotUZ7nNIrq6XbgUxNclQwcI011rC8+1TBQ4Khu8ZNOigh0tPomdrOuTpveMMbIlAUMSvY\nDz/8cARKTfY6HtzUuZmcOoe0ROfWR8suu+zEF3UEbC8UZicwAUFktpX8m3bDDTdEoKSqW9jKNZ8z\nzTEK6g2sKIqiGCX1ACuKoihGydyXEBdbbLEIvPvTH0iI7EMtiQYcOFyLg7pfD8XDC3vfkIX8kldF\nnNFUYkoXFRCyWmvbb799BOyLDzzwQAR77rlnBKxfOnHcc8891qDpAydkDyVwjz32iOCaa67x6fnn\nnx8BRZQ8SCgjjn3iE5+IQFuHQSym2wvj3xe/+MUIvvnNb1r+sMMOm9iZ/fbbLwKq2lVXXTVli1ts\nsUUEhFDcfPPNETD7OWlatrek+5Fqp4gzRil3XF4/RZQpjmXOtWC0a8mBdsABB8y0RRY4IhKBLu+z\nxXLLoYmPaKTTJcS3v/3tEVC3aPLsgmTDlkagxdyJtqhxDMdvxn3tPmITfeKJJyJYZJFFIiAqUtFb\nOjl0P2bmnsUXXzwCGmlLUxLuMorr2972tgh0ybGV3OGID3YKWf7t/6KRTd9cySWzV1MUy1lIvYEV\nRVEUo6QeYEVRFMUomfsSIndNb2Hyl5y6SGGzGFGRhDiY+goJmN/97ncn1sDS9uSTT0aQRUIWKbnJ\nXG05yXSCvDMkLPmtRANOp69//esRkClyMvWSSy4ZAemj58orr4yAh3DTTTf16Uc+8pEIvvzlL0fA\nrMif6aPNNttsYplBaHSUwEMPPTQCyiE9s6X86K985SsREN+IkIIVV1yx32JO5wzYFyUmuyguUzaw\n0Y3ZPnOa8wRkyWwm7HVC2eVOF5Ewt3LefPPNI2A/mwIRyVBpSXwjauUU44kv0hIJ44NYf5/H3auF\nLYl17kTuXzephNxB9EZ3u5HN2fBIo/TJQcnOYu7lHrnADKstHayfhfvuuy8CUqoW1f6SfYxT7kR7\nZSv+wtjZ0uHLaO6FUD9E03/cZhv1BlYURVGMknqAFUVRFKOkHmBFURTFKJn7c2B0c6q3ipnIlvFs\nJg7MohGjmVAHUbzAnJaJBFML9ipL6sRxFQSU4p1ias9FOn75y19GcMstt0Rw8MEHR6CeiPkngjvt\nvqXyxCb8eh555JEITjjhhAgUvGip/CuvvEkgNnozTAqFcLcPoqytia6vfe1rEeyzzz4R3HbbbZY3\nk2QfNtlkk4ldZe4/6aST+i3+7ne/i4BN/xvf+EYErh3rNn98nnPipVbioa8KjUFzv9nET33qUxGY\n6DL7yPOtUHJL1WfydZkJ94X0j5bq7Rq6ve3eR4bKdBu9mRipHaayzBcawHl/eOsZ8RX1GKyF3R+F\naS05J34E3K3KqeRb0rydws3ZZD+B3APTXS3dufbZDev3QUVdKM7bUq2QHvN2dt4+5FkuM4sOR86A\naiCYkicwC6k3sKIoimKU1AOsKIqiGCVzX0IEfYNmwhlML2rJh+qPREVaUF6+x2IkAi5wufpKCbDa\nt6REMQffdNNNEx/15PqnxD1Ch2z/q6++emLT2267bQS5Gsidd94ZQS4nOoGSwdaZbfRacHHbK+/L\nBK8oLU9/rsRh/SCdqV1LOaR/aoHWkoRo09ROBTJ4lwe57rrrIuCedxGXWmqpCAgybO5Zf3atWeSz\nLjQB2erSSy/1x9VXXz0CF0VtjlVWWSUCR2o/WxJmB9XRwF1AZ9MrqyV5sJcQe53QfTRdQqTx9nWB\nFdSg9LakwVLUnXBVdRTzzaodSP2afinA4erbZ8VrcjIA0dIeTrHR0/Hy0KJ/6mFmePuhuP322yNw\n/1IC21ANFCjZI3/DVqiyLemfZg36IsWUYUc6CuoNrCiKohgl9QAriqIoRsn/QxKid2Qusj7DvyWr\nmBd8SFafXmOXBEEQoONRaXT8ynoFB6B2WRo79cULkBuTWy1xxqeMfEQDTZIuvvhia1Ceg/eyZ+ed\nd45AxYEs3x1zzDER0BL1AyONauKl5ogGV21IQmSh5MdTaoQQmm14lMaPfexjEShzTJc75JBDZjrA\nlkp4cPTRKtU4sPN04FwYgsylYMcULUiJBAfYkvqkjIiAIuoocgt5n7rWu+6668QWe20wq3D9+CE5\nCuAA81DssUWle91iG2ywQQT5BFqeic5dQJwXDIql1DDqpVvewVrGqnJFEtZBfr/sk5yAmZDyn7+o\nSo5hYB8IoWRMjs2WFNQeI5ARlM+Zpbkl5dAPF3HV1TSqVf4dBfUGVhRFUYySeoAVRVEUo2TuS4iU\nwynaYG76zpUksLy/THchev1XFnPLLbeMgCoyWMyXH6wvrDnFwJardtJDCIB6jfMdHXXUURFwZDFB\ntSRy5rTWCTSv2n333SNgw2spSZnnsNcJyX2EryOOOGKmzbUk3ymky5gnpTenAJM0jzzyyAiIilKG\nL7/88ilbfP/73x/BmmuuGQErF7OZHGda32te8xprIJySpKZYSRXnJSK1pAQ6ao3BnEl2RDvcUoFj\nB9tLiHQ/0ha5LNObD4lO7hqjeroLkXtT/rJb0ojK3jkxNYzUpibvFKG7pXRdLkTLU9XofrRBcm5L\nB0tYm5I6TXfNAiD90+1G5bMPREI3afY6Tqmu68w4LrMheW6iT4WmydMzKd5552c/9QZWFEVRjJJ6\ngBVFURSjZO5LiIQOul9vJszSB5+S5f3lDylq11Izb6IBv98CCywQAb0iKxJe53/xi19MbCgXPJxg\n/vz5YouRFOwMZUBxNjmzOZFZx7LcmWmCG2+8MYIdd9wxglwDkGylnZWafnRCvbhkQMt6HoT7jnKo\nxuOFF14YQe4HxglJz6R2Mrydf/75EQwa2DbeeOMIXCm1EK+//voISEa2kmVM6hPFTCG+Ho3ts9Yn\n55oZVdoyiYkYe9ppp/ki76V2az3GvN2jYLchF6Kgb003pVldhlDGnSvvW9793XffbXmCoUtgeeoi\nT+kg3KH0Mb3fHD5BWFXA7MYkQtqi9Ooeqeu5jqikZhZKqr72eLp/kaCdorzzPc6MnXfh8swCjZf5\n0A+Lj/yFbXIU1BtYURRFMUrqAVYURVGMkrkvIdLHCIZZMQuyL5HkaLH+vXuKvNaSTtj3RGf+8Z6+\n8MIL+yK72kMPPTSxM1KheyRgttRDnRKlkQQJiF7BqyYXOO8Pk17ftZ1I+O53vzsCAl1rbeutt45A\nKxOfqnzIRKeQI8viIPQQXru99947Ag69LbbYwvLSkNkjBdbgKAYlRI5BfVskw3KEahNDycnd6H1K\n4+0HXr/DpMuWtEolEJXm497kz9Qlp7W2zTbbRMC12GM8KLuXM5QpbL1yOEUwnK4lOg/O5EILLRSB\nMUw2bOmGJXIaqKecckoESyyxxJQtsg4S563Khrj12G5zOrbF/HFKWrHbIWvFvJ3Mh5/85CcjcHfT\n/exndldO+bWhVfLK0jyzvZnR1NyE3yi6MUNjb9KezdQbWFEURTFK6gFWFEVRjJIF1N8riqIoihFR\nb2BFURTFKKkHWFEURTFK6gFWFEVRjJJ6gBVFURSjpB5gRVEUxSipB1hRFEUxSuZ+JQ6oPHvLLbdE\noN+SAhYtlXiQtb7DDjtEoIKqRlCDSfJ9/VMlPNRi0LYn1wW2/B//8b9eF1nxipAqZoHcvui8886L\nQI3gT3/60xGosyAtXxp/rh8hM9/hf+ELX5jYoroYWmQpGZz3WRc0J/zNb35zBFoc2U8lhltrN998\n88QW+6Ie6gK7BOogtFRd4rrrrovAuf3e974XgWIE/QG21j71qU9FsMkmm0Sga5qyuUoM6+aVe4wd\ncsghESita/meww47LIJcFuQTn/hEBNttt10EijioRHzQQQdFkIuhqJ5sf1STgRZZim7kDlKqZjhL\nKlCoG6vusyN1xdsLK0EE66+/fgS6eUGR4lxZQ20R50TFZ3fiscceG4H6MhnFNQQuwYMPPjix8wof\nK6HSUmM5t8O+++7bH2ygoIbfkNba/vvvH4FBosi1jnHqg/iNsqqWim73bb1c3+WXXz4CJchvuukm\niymmI2lK4RsXXQkY5aHbC6v8zE7qDawoiqIYJfUAK4qiKEbJ3JcQ6WMq5NKXvFBTh1rq1kNMI1JR\nn0h8g/iUbkN16Qtl5kZfSv2+6lWvioC8o9VQT27887rXvS4CxWFJBAq80hL1Gcrt0H74wx/OfGT/\nSl+zVenbvLa+FbqPrCEXkJ3CyiuvHMH9998fwQMPPBDBnnvuGQEdpiWR6p577ong5S9/eQS0Svrn\nIFp8KatqnTZE11WV9dZbb7UGnZaWWmqpCHSEUte13+GsHS2zzDIROL3GsJ3XnkpB4ZYUtkFhLfjt\nb38bAZEw6+E6bz311FMROG/PPvtsBArdLrbYYv0acqO74Nprr43ACXzf+94XgZGfUTSZkOVgNfqy\nD0Z+xq6qGuxOtDMvfelLI1h22WUjyL243A7KKE8p5usobCXjTvT7oHSvmQXlv/MvzJTquvaZcqih\nmg5zLbUZO+ussyLQ3kzVb9eOWDoK6g2sKIqiGCX1ACuKoihGydyXEPW5oaustNJKEdDQciNzuh9D\nFBWFtqBN+CD0MUoClY/5kHKYXYiaflEGWMWmyAi5VRglgVmRR9HhsCc5nFzQmcpHYuqh+zkz2XLm\nj46RCuc82E9S1XQ4Jw8//PAI9E5zrrI/86677oqAkLXkkktG8Ktf/SqC7JzsoRQ5S4QsnlWtnnxE\n2GxJgiYHERh7CZGInT+iPfqiMexqvulNb4qAra6lPliOuseFJiFm2Yr4RtK0Y5/73Oci4G1zCa64\n4gpr4N4EUcsX/eWJJ56IwC2ZP6Wv8j3S/Zy3QQmRRrfqqqtG4EqRc+m0PH4sry3dwqyJWS2fgMqa\nG7+5cwmn1mkxYillmOLdhvyc/e65qd1rHL8t+Y1NgqyyyioRODNsvb1hdTZTb2BFURTFKKkHWFEU\nRTFK5r6EyLBEv2IP4/khM7b0Xs+6w4lEdeESHIQUw5VEh6En0BKpBy2lW5JK3vjGN0aQtakJCE2t\ntSeffDICqsvWW28dAdWO6mI/uenyhv4QO6ITkh19nG9OuKMmv1AXya3TtUQWOznRBx98cAROsrzX\n1trLXvayCDbaaKMIyKTkFHbTQcikd955ZwRkrt58SMDR0L2l68LWZefl7cKqlltuOX+kf5IHf/az\nn0VghFDJvvWtb/VrM6J6qHAkoyxV8aTR8Wya9GpoYXre69prrx0B6dVgMxSzhMgt7Bb2KWFczvu2\n227bb5E+Zos33HBDBIRu+e8GEqdrS/ZFQr2dcTg9OR3bnW6LtGWXwJ3itGcBf4rnWU409dJ+5nkB\nXk07M2/evAj8LNx2220REKVHQb2BFUVRFKOkHmBFURTFKJn7EmIu9BdQqxjMvN231hZeeOGJ5WlH\nXsBZfQZhLOQRIpQRDCUmM8W1JHTQbSgDUwQ9cllLEpZ9sKuMebQgNfqyaYoIOSXPl+JBdKJZtSTF\nWMzhUw5pjxSMnI7d40p95zvfiYBUcvXVV/f7QFByaJTAxx9/PALnYRBK4ze/+c2JXXVKeQLtlW+1\nZCTjCZxyEZ3JLAjLBHdZDd3Xv/71ETjbcpxbGqjcmz1OuDVk+c7+OFgyu8HJVseyOF2VNZgdDgGQ\n5paHgZvF4ZAcqbiXXXbZlC06fOPt29/+dgRS4wUuohHSWtt0000ndv7ee++daXNuunzvmD4gSruI\nAjcI+T3f1H4WekiO6667bgRGac5h70eX2+eSSy6JgEpPdx0F9QZWFEVRjJJ6gBVFURSjZO5LiNQn\nb+Je8KlqOTlRYwICDhcZ4WJ6BT+Jrlp4WJU3d2meWeFkPSJayrLsU1+R7UbWYB/IGvJ8CZuDOgw5\niFeqxzLshbmio5NDzRDQYfo2NLkeYw8bHkHGuZU8Swtqyb158cUXR+Ba08Sy97KHKYtk5IQ4CstQ\nn3JfHou5xFMkRGpSbivj2mV5MCB0G7ouSkuXOBfEm6CvhZjX4PRS1ymNbHvuLDJ41sN7OGOdUiIh\nrS/XzzS6JJXfcccdEXzgAx+IIJ/wHmZF9kjqpd4ufIZnnHFGBFzKLeVHO89qC/S4iLmgJZxw66cT\nkl55SrOSPIU11lgjAoNTgnYWHl07vyeG1lVXXTWx/BTFchZSb2BFURTFKKkHWFEURTFK6gFWFEVR\njJK5PwemDQ/9VwGOfnqspfIHJh5MMhHcs1u6Z5111omA/VfzISU87AwJvqUW46zbnMqDqnqQG0GZ\nQTEJZDrEvJrDN+1kLqeltP/3v//9M22RpG6mJM9g+bQ3B5v66v330+fATM+YwTJtwMt+1FFHWd7B\n9sVeFafQEmkQl8BRKAzhKBRlMMaybZ0jPFd2mAlFGXIlDiPQJVZFWqlWcx55gu1d73pXBIZBj1kT\nU02OoqXx9uijj/Y7FshDcH2nFIBuKZNB/zDTlgZSxkV317gokj1MAg1iSkkOgGGmoLDkgWuuuSYC\nXcdyrITHlJo4RkjGMPDD4izlxI/AD1GeZTfesrc+MGzMPvb3Wktzje4C5cs1zFtzzTUjyOXFZz/1\nBlYURVGMknqAFUVRFKNk7kuIGkepjED6oMxoaNSSomIxXuS+u/wgWgeRPnq1irpIS2yp7RPLOw1k\nyns9kaelAg30ivnz50dAq6Q+0dlyLeNddtklgilGXoIPeS0LgL0Y2DczI2OSqqYXN6HZWkxJWWpS\nNqBfeumlEajEofotaSUXXOhhvCYxca47pbRBiRnOmjQbvQAAIABJREFUf0uqDrVzsGfVxBqymCZ/\nwz5obO/6uohZdKJ1G/w9pK1cgKPfeTumXRahm8RHZ5uuAxvqH/zgByMwvBXIyL5/++CPFDMlPDbf\nfPMpW7Q/0jCIaW55wibpO1vzZYBYA02+Z7AgtaEuhcZ48LNglKpIYrstWf97CdEIcTXdIHk8mARx\nNV1EhyMz4ZhjjpnpAGch9QZWFEVRjJJ6gBVFURSjZO5LiFQd79SMW3QYrb9aeitnFqK5USRy8d8e\n1kEqHMsT3xrvHBUlxzat38+Uxk5EpLzzzISsZVxnJCM1BXIFVdLKlC5ElleAI1fioCvS9KgofZEO\npqnp6pMt7rrrrhEob0Fzy9VL2dVU9SUAXn755RNrGIRkZGxQO0k6JCArN6JaEhg13JpS3ISSQ5/M\nayCdrbDCChE4k5y0+SIaLYPuvsAYs0z2EIpt0elyZrbbbrsIDJXpTd1UnyFsugtY+7KNsy8y4ob6\n3ve+F8H2228/ZYvuU+t/3/veF4FrQdDrq9i0dO3cubnX1wRu/FyRxBEtueSSE5+6dk7IKqusEoHf\nqJbOkjXAnWW+gwHVRy0NXX90AknrfifzCJz91BtYURRFMUrqAVYURVGMkv+HJETKD53NK3lOEyas\nkYOYx/j9+lq0Ga//K620UgS69fC2KUGbhS+6ENue5XsDEhRjbUlJsPOUJTqP0qhsV1lM63svZWdd\nkHvPT6yqJUmKrkhU9EVH7YtTMrXzYgQ9yo/s0dzPnsxFdCLXUBel0w4iyVQZZYdD2XMUq6222sS3\nWurj7ouMfD103RtvvLH/I9mKzOVw+mzflgpS259eSzSiBpu6GfO+aMeIVAbSTTfdFMEU02NLY1LO\ntdxhjlBDpaXT64bV7f4b3/hGBOS1fpS2NCRI1n2l2jxsguxJdhE1ddttt90Gjy7vQ5YQ/Va4+m5S\nxyU/nd6Ym9XZdA+F0y+GSsF+7vJq5S+TrB2OI53uzp1t1BtYURRFMUrqAVYURVGMkgVyN6miKIqi\nGAv1BlYURVGMknqAFUVRFKOkHmBFURTFKKkHWFEURTFK6gFWFEVRjJK5n8gsMfmII46IQH/kCy64\nIIL11lvP8ptuumkEyoWdf/75EehIsueee0agDURG/rLF1KaT0XzKKadEkNvgnnPOORF8+MMfjkCW\nrrzdPo8y56hK2OxThhVa1MxCb4Wc0ivD8Ytf/GIEigdCY5qtt946gsMPP9ynV111VQRnn312BIrg\nqVx37rnnRnDhhRdGsNNOO1lDf4wyc++4444I9MW47LLLIsgFLd/znvdEoK+KBM/1118/gpNOOikC\nJyQjz9eq5O1KCXeu+t7TrbUVV1xxYse0uuhrBjohCgC2VFtPwq+BgYMPPnjicFpKaz300EMj0KAH\nUnpPOOGECFzNlo5agrkGHO6j0047LQJpxTmfXb4zPvvZz0ZgcOrybCuDicxGtRHrAHVE6htGt5Tu\nfcstt0TgLnBLKsLpXKk82dKwPPbYYyP40pe+NLFXkCb8jne8wx8vuuiiCJyQxRdfPIKNNtooAj9E\nfnxyw6brr78+gj4R3s/Chz70oQhkQPtLS114tthiiwgk+FtMW6J8+FOytmcJ9QZWFEVRjJJ6gBVF\nURSjpB5gRVEUxSiZ+3NgdHmleIm8pOFc+PI73/lOBEpz6gVuAsaqBlFWlSb+3ve+NwLa/emnnx7B\nUUcd5Yv33HNPBNoCqV5qDmP6HNjvf//7CPTiUszXNIPmZNddd10E+fDf/e53RzA4qRDogG5zSgC3\nVKpVGVMt4S32ox/9KAK9l1yLQR566KEI1DtWcdX0Rm6FrjqqSco99tgjAjNSDn9wDsyGlOJ17QRQ\nzib3m1e71gXqiyDDbE2uJKt7kxGlKusuu+wSgVnVPAVoOsdqe8wFmsoy79Va23333SPYbLPNIjCD\ntfPOO0dgZs4YNls8iGvhPLizNO4yolqaKzIZprqxCrwmiQf52te+FoGpL+t0yUwauUzbbLONNZjo\n8rMwpSLzMsssE0E+kxdffHEEWpGZa1TR2+FosWaevqXZaPOd8OPmQvvVymdGtW7Ff5deeukI+jE5\npRHgLKTewIqiKIpRUg+woiiKYpSM6W3x3wZ7qD43q6++egRsyl/96lctrysSUUv3cULWE088MWWL\nNLpLLrkkAkLEGmusEcHNN98cQTatsqfrOLXmmmtGQJfryYqWxlEkAgqbDTlq4hjpMu/Dm9/85pm2\n6CNryOZv7Ys0KqO6OG/sv8zcU5SZlk4gDYRJ/a677opAr6yWLgHplYS4wQYbRPC5z31uyhYNA8Zu\nAXURjtTZa0mzpU31XwTNM5+Hr3zlKxHQFTW2Jxnx39OjWroE8+bNm2mL1CrWamJXa22HHXaIgKRs\nQ7THj370oxHss88+ERAV8xqgSRuh1eDUGSufQGPYaKE0Up4N+EGI2GuttVYEBhJZkoZmVTmrRJIG\nvz55v0erOZkGeXleeUPR8pJqjj/++Agot/nTXkLUxIvabKjkMynPQR6CW9i1yG0FR0S9gRVFURSj\npB5gRVEUxSiZ+xIi3Y/M5S17UEMj+LBIKZZB6OgrKWSIVPSHn/70pxFstdVWEfBHcfS1ZF4ixbAS\nTREtOaxaa6uuumoEa6+9dgSMW4x/TojSElmftOncon4CqsjTTz/d7x6pjYADizmT5Fw67SAEPUrO\nkksuGQEzoY9a8oOpm0CVpS5Ot8xRljgnXSlFQMhQ1MJ8FAbSHyIhGoq33XabPzqTxDRiHfOhq88l\n2FrbfPPNJ77Y46P3v//9/RqUjdh3330j2HLLLSPgWtxvv/0iMM6zEbSXEBn/fv3rX0dwww03REDe\nz95X4rCaOIRWF/FXv/pVBLTojKNgyn344YcjoLAx8hlRanO0dDtYPktzEyiGonZGS3cihZbLURUM\nX9xxxx0ngvZCR+IEfricW5MU+YeFeKu+DLOi3weDMxtBZz/1BlYURVGMknqAFUVRFKNk7kuI9Apv\n2aw44FRsqeqr0qskBeau6dD9VltttQi86W+77bYRkIzIIy15pTi+OAwpAz2veMUrxMxFr3vd6yJQ\ngJhyeNNNN0XA8JatXLRNy/dQF3nh6JMtaSzSM6kZzjPhgjYoaEmRA+nj6quvjkAhVFqfIsIt1WB1\nNTlC1a7NFVd7mLLohIaBgDZoGVJV3jHizBSjF6Ndlhl5UJ23+fPnR3DkkUdGcNZZZ03sTEup2Tfe\neGMEhiLuu+++COiNBkZLcuJxxx0XATsizVZCLq+jYs2DGKgEQ4HxYK9aGhJ0PzImCZoul41/kEvO\nvuhK0beNEIr6vffeaw32h9adBcYJWF5lPecdW2eddSJgf3UCFUo+9dRTI/jMZz5jDVlOnMB4MLRY\nKFVdaGn2hBXZMHNvqniQfdGzn3oDK4qiKEZJPcCKoiiKUTL3JUSv8/QEdiNpgCxqbahSIimM5Wl6\nBTbC2oYbbhiBnkDyKKkuxJOWTFOUQFUKCTg92RZFq9Tvx6e8lDyHDGwamOVPecB6+tJ/UjLzzlMj\nmQ8JHeyLVjVdQnzjG98YgZTMXXfdNQJX8/bbb7c8CZEqS96hJpF0BnFodqxvRkVNMmboURlyjYPt\nYV/M5k+aG5ufg7VFXsre9deSwtaLe5/+9KcjoGhtvPHGPqVMUiOVQKQ0WsNhhx0WgZqfgziBdp6O\np/6egdHSBSVzKThAOmPaHJQQGVPlvxvz/UWxe852S8OAV/PEE0+c6QAd/iGHHOKP3/rWtyKgf9IJ\nGRRVnmTszInMEp97/J64ZRxgri0gx99kgaFLxSUh5pZss596AyuKoihGST3AiqIoilEy9yVEr9Le\nmjmL5EWS11oyI3GRUQ4pHlPyQ1tSqwhZ3ut1lGCiO/nkk31xk002iWDllVeOgI73gQ98YKbN8Rnm\nQyO/UMBoiU6IYOGFF7YGwmkWUiYgvTpXlL2WfFBsnPqjL7roohFw67koWTvqk5opqPQuXTCIhISs\nloTQ9dZbb+JwKGBygQche0p07c2rtESpzVn8JItRq6YkMnONZlcqyxyPIiGLFZAEpLZha+1Tn/pU\nBNleO4EUb2JsLpzI0nnhhRdOrFO6PaciqXzPPfecaXMtjQepsr2jj8DbXiiCBUpBOiH9Mhn6vKsp\n01/xQJfMX7ITUuFHLYH+9m//dqbNqVWoc0pLI1YjJOeWlqgfjbPNZdpeqI3PhBvKGHOTtiST9hKi\ng5Ww71dxFNQbWFEURTFK6gFWFEVRjJJ6gBVFURSjZO7PgZkkMCehhKgCoOY5WqqRwcKuITcjfu77\nPmWLamia8TrnnHMi4Jh/05ve5IumZ9T8PfbYYyMYNEkHeQaLc90MB1M7rd+smLm9XD9Cod7cI20C\nmQmM1/kEyiLo53V6F7jJqmeffXamzbU0laU3kolGpZNzboNpho997GMRKO+rloc6F4P0MwG9Rd58\ngzmwXGvDDJnFTDz0k2Fmd3L2gkkjq1I8Ze+9947A4WeUHTFB2MOvbwJG6/qWJmz233//CJZffvkI\ntAEzXE2P5Y5iPW5Ac5wmwwR5otGg8kWDxIzp9Mqzhnqf+OHudoNIQckTme47c66CHqf0Ix/5iD+q\nhuzX4KCDDorAmeS/lwyw6aabWoPJ3TzLO3GAhjdy2SDj0w8XY73x5oeobPRFURRF8e9OPcCKoiiK\nUTL3JURp/HQYnm+NyfNbM688hcRf3vrWt0Yga30QQpk1kBTIUKyxTMkt+ZKVXiVKkJgYqZFVFMfI\nN6zGK6WRRip5IHuRGW3Zantoj7aS5TsyJsuyUiZqsNIrqIu5m1cPv751apKkVIQeUa21L3zhCxEw\nl1M7iW+GAV0u4/DpXc6bgKRM+MoVdfsqwFNgts7Xl/Jj/QazfIw777wzgiuvvNIXFaogUvX46OMf\n/3gE6sW0lAFiTKq7YcRa5sADD4yAC7y1duihh05skRLodqNdO65ckMXJNMKJexSwKfWRW3LGG29K\nclg5odI6c9UbJWDU21VXuuf000+PwAlprZ155pkRKIvszKiiwjTv3snFu622lxCJzH3hmNyiT/cv\nOrAJAlkBlvEbMgrqDawoiqIYJfUAK4qiKEbJ3JcQ1bvsGZStCD58bmQE5PZXPaxfanoy5knR5xLk\nAWtDnbS472699dYIegkx+/eoW4QRx6hyKHMgne2nP/2pNRAZFNToofw4D7kaCBPmW97ylgjUNJH2\nv/jii0egSIdTNAgVV/kMVi7ianbcEXzYEWmJXGdqcyhFkXGWWFVJguqqUBfpjdle2JsP+49Ag1XV\noqU6sE64XvV2ZoUVVoggl+vV4ov02kN6NRQVhmhJcTWGNa867bTTIlB5VtexPJh7CZF8Z5Q6M04g\nTawlpdHVp25RDq1qEGZXp9ft4AT2C+dCMPZZueop7bLOOOOMCPK1cB5otgrukATV2TFuFfVoU8tq\nG5zPPPPMRECVba0tuOCCEZg0ITLzZ7pbKb2joN7AiqIoilFSD7CiKIpilCwwpUdRURRFUcxa6g2s\nKIqiGCX1ACuKoihGST3AiqIoilFSD7CiKIpilNQDrCiKohglY8pZ+7eheYqc2fvvvz8CXbdzNxD1\n0yCZUfFAyYy//vWv+y1q+cHhqXOHHFjtKuSTtlSETdKxknfySaWRIndaueWWWyK49NJLI5Azu+22\n207szIknnjixM6212267LQL5rYsuuujEFhVqkxd51lln+fSAAw6IQP8Ihf7uvffeiS3KR84J2lbb\no0mE0n9OkXJwLRXNe+CBByJwpeR+PvzwwxHklE8oaHneeedFIPdTs5ItttgiAtUUc4a75e2Y5Nld\ndtllpgPMbVxe8YpXRHD55ZdHoBqn9G3p9jfffLMv2mdFOGVtY7nllovg7LPPnti9li6iTh9y8Lfc\ncssIlN3TTmWzzTazhqeeempiixKljbFjjjkmApdJxcWWqlbKbjbUt9lmmwgWWWSRCHQgyqj4d8IJ\nJ0wcrJzoefPmRaDn0frrr28Nko7l9e++++4RSCGHupS5JKYsflnbii6qjCqP2yXIPywqiObfikBp\nUOUaVE/VqKi1ttdee0WgJqTUZjnyRmnuJjP7qTewoiiKYpTUA6woiqIYJXNfQqQ/eGsmCWojotha\n/lQpNsXBrGp6H1gbUk+PckiX88JOuGipb4JSgRpqkK16CZG201L1PPKggod6vH7mM5+JQMW8XAxQ\nk5GTTjopgiwPBrSdHXfcMQJtIPLa7Jg+HZ/4xCciOPfccyeOK5+HHk0frrjiigh0hVbmzkluSWEj\nc+mCQZyZXvONQESToQz7y9ve9rYINIWhTrekK9rDQa0yILcafi0JX9dcc00Er3nNayIwxlwvUlhL\nSubf/M3fzLRFe6VLuPbfLanErh216sMf/vBE8Oijj0ZgPAxivGkzpJ+IEUWFa0n2PPzwwyNQCdNH\nJ5988pQt0j81m3Y7aCKz8sorR6BsJgG/tbb66qtH4Or3Oh6MqCzGkhP7T8n7+hMhD5XcMH0CPVNW\nXHHFCAY7m5MxdbKmTrtB7Ewu1Jm10NlJvYEVRVEUo6QeYEVRFMUoqQdYURRFMUrm/hxY3wne/JNp\ngNxFmzpMX+67j0+fAzODZY7t2muvjUDXqw996EP9qizG/Wwupzf3gzW2pWkGBmVdiFiQGdAvuOCC\nCMy1tDTNwIrdz4G9613vikB3eT3RW5qH42w2j6KnlMkwMwpa17fk4YY+SWZ3VlpppQg0Ubvuuuss\nz8KuUdlDDz0UganNPGfWo3+Y+S3TVNo+mZkzEWVCpbW29NJLRyD7gh+6R7JH7uC1zDLLRMCnvsEG\nG0Twgx/8IILnnnsuglVWWcUXnUBe+R6ZDJ/85CcjMNPW0vjU68vkqy5WZphMl5raHMQ0JJ+6/Aq9\n3PJUqMlUp9dokS5in3M3ODCsm5wznWaiy0wez72J6pbmAi+88MIIGPFdC7iX2eIz/c+Ia+eLBnNe\ng8V6/v7v/z4CmSdPPvlkBH/2Z3/WL2+GzFSrCTlbdIO0mgMriqIoin8n6gFWFEVRjJK5LyF6C/ZO\n3WuJufyB8hw6i5OAvG5Pf7PmVdWGnJZIFFpiiSUioB21pBVoMa7qgYbfPSTBllQX9vQjjjgiAsII\nUXGfffaJINcU2HPPPSOg2/Qwi1MsHWlr7ctf/nIEJESb5uDn2KbkZN2mlxB1gmdrZij/67/+6wh+\n/OMfW37hhReOwCmlwRKypvOOd7wjAnqXs8QfT4/6y7/8ywj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"output_type": "display_data"}], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "plot_dictionnary(D, [], [8 12]);"]}, {"source": ["Update of the Coefficients $X$\n", "--------------------------------\n", "The optimization on the coefficients $X$ requires, for each $y_j =\n", "Y_{\\cdot,j}$ to compute $x_j = X_{\\cdot,j}$ that solves\n", "$$ \\umin{ \\norm{x_j}_0 \\leq k } \\frac{1}{2} \\norm{y-D x_j}^2. $$\n", "\n", "\n", "This is a non-smooth and non-convex minimization, that can be shown to be\n", "NP-hard. A heuristic to solve this method is to compute a stationary\n", "point of the energy using the Foward-Backward iterative scheme (projected gradient descent):\n", "$$ x_j \\leftarrow \\text{Proj}_{\\Xx_k}\\pa{\n", " x_j - \\tau D^* ( D x_j - y )\n", " }$\n", " \\qwhereq \\tau < \\frac{2}{\\norm{D D^*}}. $$\n", "\n", "\n", "Denoting $\\abs{\\bar x(1)} \\leq \\ldots \\leq \\abs{\\bar x(n)}$ the ordered\n", "magnitudes of a vector $ x \\in \\RR^n $, the orthogonal projector on\n", "$\\Xx_k$ reads $z = \\text{Proj}_{\\Xx_k}(x)$ with\n", "$$ \\forall i=1,\\ldots,n, \\quad\n", " z(i) = \\choice{ x(i) \\qifq \\abs{x(i)} \\geq \\abs{\\bar x(k)}, \\\\\n", " z(i) = 0 \\quad \\text{otherwise}.\n", " }$\n", "$$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["select = @(A,k)repmat(A(k,:), [size(A,1) 1]);\n", "ProjX = @(X,k)X .* (abs(X) >= select(sort(abs(X), 'descend'),k));"]}, {"source": ["__Exercise 1__\n", "\n", "Perform the iterative hard thresholding,\n", "and display the decay of the energy $J(x_j) = \\norm{y_j-D x_j}^2$ for several $j$.\n", "_Remark:_ note that the iteration can be performed in parallel on all\n", "$x_j$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Update the Dictionary $D$\n", "---------------------------\n", "Once the sparse coefficients $X$ have been computed, one\n", "can udpate the dictionary. This is achieve by performing the minimization\n", "$$ \\umin{D \\in \\Dd} \\frac{1}{2}\\norm{Y-D X}^2. $$\n", "\n", "\n", "One can perform this minimization with a projected gradient descent\n", "$$ D \\leftarrow \\text{Proj}_{\\Cc}\\pa{ D - \\tau (DX - Y)X^* } $$\n", "where $ \\tau < 2/\\norm{XX^*}. $\n", "\n", "\n", "Note that the orthogonal projector $\\text{Proj}_{\\Cc}$ is implemented in the function\n", "|ProjC| already defined."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 2__\n", "\n", "Perform this gradient descent, and monitor the decay of the energy."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["__Exercise 3__\n", "\n", "Perform the dictionary learning by iterating between sparse coding and\n", "dictionary update."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the dictionary."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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n9kDf2r9c6/LYmq1D7Cfda6+9BmdRqafuBf7MZz7TAxNP0k57w88999we2Lvd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\nhBDCLFn+EiLrl5drCpWNqHXbIP/Phz/84R5Q4Y4++uge1FS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RCV8EQPW6FiJPBwGH6sLZ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\nyuPIX8PmAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "plot_dictionnary(D,X, [8 12]);"]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}