{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Generalized Forward-Backward Proximal Splitting\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": ["This tour explores the use of an advanced non-smooth optimization scheme\n", "to handle composite inverse problems resolution.\n", "\n", "\n", "This tour is written by .\n", "\n", "\n", "We use a proximal splitting algorithm detailed in\n", "\n", "\n", "Hugo Raguet, Jalal M. Fadili and Gabriel Peyre,\n", "_Generalized Forward-Backward Splitting Algorithm_,\n", ", 2011."], "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/optim_6_gfb')"]}, {"source": ["Convex Optimization with Generalized Forward-Backward Splitting\n", "---------------------------------------------------------------\n", "We consider general optimization problems of the form\n", "$$ \\umin{x} F(x) + \\sum_{i=1}^n G_i(x) $$\n", "where $F$ is a convex, differentiable function, with Lipschitz-continuous gradient\n", "and the $G_i$'s are convex functions\n", "\n", "\n", "To use proximal algorithm, one should be able to compute the proximity operator of the $G_i$'s, defined as:\n", "$$ \\text{prox}_{\\gamma G_i}(x) = \\uargmin{y} \\frac{1}{2} \\norm{x-y}^2 + \\gamma G_i(y). $$\n", "\n", "\n", "The algorithm reads:\n", "$$ \\text{for all } i, \\quad z_{i,t+1} = z_{i,t} + \\text{prox}_{n \\gamma G_i}( 2 x_t - z_{i,t} - \\gamma \\nabla F(x_t) ) - x_t$$\n", "$$ x_{t+1} = \\frac{1}{n} \\sum_{i=1}^n z_{i,t+1}. $$\n", "\n", "\n", "It can be shown that if $0 < \\gamma < 2 \\beta$ where\n", "$\\frac{1}{\\beta}$ is a Lipschitz constant of $\\nabla F$,\n", "then ${(x_t)}_t$ converges to a minimizer of $F + \\sum_{i=1}^n G_i$.\n", "\n", "Joint Inpainting and Deblurring\n", "-------------------------------\n", "We consider a linear imaging operator $\\Phi : f \\mapsto \\Phi(f)$\n", "that maps high resolution images to low dimensional observations.\n", "Here we consider a composition of a pixel masking operator $M$ and of a blurring operator $K$.\n", "\n", "\n", "Load an image $f_0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["name = 'lena';\n", "N = 256;\n", "f0 = load_image(name);\n", "f0 = rescale(crop(f0,N));"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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pU2elPEqtIN9eQg4sSJAgQYLcSQke2K2K/KpyuSzyp2az+U0aG1lkEGlj5BIR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\noh1FixFYtGjRokU7khYdWLRo0aJFO5IWHVi0aNGiRTuSFh1YtGjRokU7khY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"output_type": "display_data"}], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "imageplot(f0);"]}, {"source": ["First, we define the masking operator. It is a projector on the set of\n", "valid pixels. It is equivalently implemented as a diagonal operator that multiplies the\n", "image by a binary mask"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rho_M = .7;\n", "mask = rand(N,N) > rho_M;\n", "M = @(f) mask.*f;"]}, {"source": ["Then, we define the blurring operator $K$, which is is a convolution with a kernel $k$: $K(f) = k \\star f$.\n", "\n", "\n", "We load a gaussian kernel $k$ of variance $\\si_K=2$. Note that the Young's inequality\n", "gives for any $f$\n", "$$ \\norm{f \\star k}_2 \\leq \\norm{f}_2 \\norm{k}_1 $$\n", "We normalize $k$ so that $\\norm{k}_1=1$ which ensures $\\norm{K}=1$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sig_K = 2;\n", "[X,Y] = meshgrid( [0:N/2-1 -N/2:-1] );\n", "k = exp( - (X.^2+Y.^2) / (2*sig_K^2) );\n", "k = k./sum(abs(k(:)));"]}, {"source": ["A convolution is equivalent to a multiplication in the Fourier domain.\n", "$$ \\Ff(f \\star k) = \\Ff(f) \\cdot \\Ff(k),\n", "\\quad\\text{so that}\\quad K(f) = \\Ff^{-1}(\\Ff(f) \\cdot \\Ff(k)) $$\n", "where $\\Ff$ is the 2-D Fourier transform.\n", "\n", "\n", "We thus implement $K$ using the Fourier transform of the kernel."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Fk = fft2(k);\n", "K = @(f) real( ifft2( fft2(f).*Fk ) );"]}, {"source": ["The masking and blurring operator $ \\Phi = M \\circ K $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Phi = @(f)M(K(f));"]}, {"source": ["Compute the observations $ y = \\Phi f_0 + w $, where $w$ is a Gaussian white noise\n", "of variance $\\si_w$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sig_w = .025;\n", "y = Phi(f0) + sig_w*randn(N,N);"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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ITEysq6vDcaSurg6MfFEUDQYDftXS0sICirHzEpHRaBw2bBhkVUdHh8FgADlb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WoV8bdYLCbiwuoiVhdcQ5fLNXHiRG4xZ86cYDCIi5CdnQ0Lht1ub2hoYO55vV5JHKKhqlpV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\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"output_type": "display_data"}], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "imageplot(y);"]}, {"source": ["Splitting Total Variation Regularization\n", "----------------------------------------\n", "We want to solve the noisy inverse problem $ y = \\Phi x + w$ using a total\n", "variation regularization:\n", "$$ \\umin{x} \\frac{1}{2} \\norm{y - \\Phi x}^2 + \\la \\norm{x}_{\\text{TV}}. $$\n", "\n", "\n", "The total variation pseudo-norm is defined as the sum over all pixels $ p=(p_1,p_2) $\n", "of the norm of the image gradient $\\text{grad}(x)_p$ at $p$.\n", "\n", "\n", "The gradient is computed using finite differences\n", "$$ \\text{grad} \\, : \\,\n", " \\choice{\n", " \\mathbb{R}^{N \\times N} \\rightarrow \\mathbb{R}^{N \\times N \\times 2} \\\\\n", " \tx \\mapsto ( x \\star h_1, x \\star h_2 ),\n", " }$\n", "$$\n", "where $h_1$ and $h_2$ are two 2-D filters.\n", "\n", "\n", "One usually computes the gradient using finite differences along vertical and horizontal directions.\n", "This corresponds to convolutions $ \\text{grad}(x) = (x \\star h_1,x \\star h_2)\n", "\\in \\RR^{N \\times N \\times 2} $ where\n", "$$\n", " h_1 =\n", " \\begin{pmatrix}$\n", " 0 & 0 & 0 \\\\\n", " 0 & -1 & 0 \\\\\n", " 0 & 1 & 0\n", " \\end{pmatrix}$\n", " \\qandq\n", " h_2 =\n", " \\begin{pmatrix}$\n", " 0 & 0 & 0 \\\\\n", " 0 & -1 & 1 \\\\\n", " 0 & 0 & 0\n", " \\end{pmatrix}.\n", " $$\n", "Note that we write 2-D filters as $3 \\times 3$ matrices, which\n", "implicitely assumes that the central index (position 0) is at the center of this matrix.\n", "\n", "\n", "Following the method introduced in:\n", "\n", "\n", "P. L. Combettes and J.-C. Pesquet,\n", "_A proximal decomposition method for solving convex variational inverse problems_,\n", "Inverse Problems, vol. 24, no. 6, article ID 065014, 27 pp., December 2008.\n", "\n", "\n", "we use diagonal filters:\n", "$$\n", " h_1 =\n", " \\begin{pmatrix}$\n", " 0 & 0 & 0 \\\\\n", " 0 & -1 & 0 \\\\\n", " 0 & 0 & 1\n", " \\end{pmatrix}$\n", " \\qandq\n", " h_2 =\n", " \\begin{pmatrix}$\n", " 0 & 0 & 0 \\\\\n", " 0 & 0 & 1 \\\\\n", " 0 &-1 & 0\n", " \\end{pmatrix}$\n", "$$\n", "is more interesting for us, since those kernels are orthogonals: they do not overlap.\n", "We will use these diagonal filters to split the total variation into simpler\n", "functions.\n", "\n", "\n", "The TV norm can be written as the $\\ell_1-\\ell_2$ norm $G(u)$ of the gradient $ u=\\text{grad}(x) $\n", "$$\n", " \\norm{x}_{\\text{TV}} = G( \\text{grad}(x) )\n", " \\qwhereq\n", " G(u) = \\sum_{p} \\norm{u_p} = \\sum_p \\sqrt{ {u_{1,p}}^2 + {u_{2,p}}^2 }$\n", "$$\n", "where $u = ( (u_{1,p},u_{2,p}) )_{p} \\in \\RR^{N \\times N \\times 2} $ is\n", "a vector field.\n", "\n", "\n", "The proximal operator of $G$ is the soft thresholding of the\n", "norm of each vector $ u_p \\in \\RR^2 $ in the vector field, which corresponds to\n", "$$\n", " \\text{prox}_{\\gamma G}(u)_{p} = \\max\\pa{0, 1-\\frac{\\gamma}{\\norm{u_{p}}}} u_{p} .\n", "$$\n", "If the norm of $u_{p}$ is lower than $\\gamma$, then $u_p$ is set to zero; otherwise, both coordinates of $u_p$ are shrinked by the same factor.\n", "\n", "\n", "We define the proximity operator of $G$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["G = @(u) sqrt( sum( u.^2, 3 ) );\n", "proxG = @(u,gamma) repmat( max(0,1 - gamma./G(u) ), [1 1 2] ).*u;"]}, {"source": ["We would like to compute the proximity operator of\n", "$ \\norm{\\cdot}_{\\text{TV}} = G \\circ \\text{grad} $.\n", "This is much more complicated than computing the proximity operator of\n", "$G$ because the linear operator $\\text{grad}$ introduces\n", "dependancies between pixels.\n", "\n", "\n", "Denoting $ u=\\text{grad}(x)=(u_{1,p},u_{2,p})_{p=(p_1,p_2)} $\n", "the gradient vector, we note that we can split the TV pseudo norm\n", "according to the parity of $p_1=2r_1+s_1$ and $p_2=2r_2+s_2$\n", "(which corresponds to $s_i$ being either 0 or 1)\n", "$$ \\norm{x}_{\\text{TV}} =\n", " \\sum_{s_1,s_2=0,1}$\n", " \\sum_{(r_1,r_2)}$\n", " \\sqrt{\n", " {u_{1,2 r_1+s_1,2r_2+s_2}}^2 +\n", " {u_{2,2 r_1+s_1,2r_2+s_2}}^2\n", " }.\n", "$$\n", "\n", "\n", "This can be re-written more compactly as a split of the TV pseudo-norm\n", "using using $n=4$ simple functions $ (G_i)_{i=1}^4 $:\n", "$$\n", " \\norm{x}_{\\text{TV}} = \\sum_{i=1}^{4} G_i(x)\n", " \\qwhereq\n", " \\choice{\n", " G_i = G \\circ L_i, \\\\\n", " L_i = S \\circ \\text{grad} \\circ T_{s^{(i)}}$\n", " }$\n", "$$\n", "where $T_s$ is the shifting operator that translates the pixels by\n", "$s=(s_1,s_2)$ (with periodic boundary condition, i.e. modulo $N$)\n", "$$\n", " T_s(x)_p = x_{p_1-s_1 \\text{ mod } N, p_2-s_2 \\text{ mod } N}$\n", "$$\n", "and $S : \\RR^{N \\times N} \\rightarrow \\RR^{N/2 \\times N/2}$\n", "is the sub-sampling operator of a vector field by a factor of\n", "two along vertical and horizontal directions\n", "$$\n", " S(u)_{p_1,p_2} = u_{2p_1,2p_2}.\n", "$$\n", "The four shifts are\n", "$$ s \\in \\{ (0,0), (1,0), (0,1), (1,1) \\} . $$\n", "\n", "\n", "We create the subsampled gradient operator $L_1 = S \\circ \\text{grad}$\n", "(shift $s =(0,0)$)."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["L = @(x) cat( 3, x(2:2:end,2:2:end)-x(1:2:end,1:2:end), x(1:2:end,2:2:end)-x(2:2:end,1:2:end) );"]}, {"source": ["We create the four shifted version $L_1,L_2,L_3,L_4$ and store them using a\n", "cell array, so that |Li{i}| implements $L_i$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["LShift = @(x,s) L( circshift(x,s) );\n", "Li = {@(x)LShift(x,[0,0]), @(x)LShift(x,[1,0]), @(x)LShift(x,[0,1]), @(x)LShift(x,[1,1]) };"]}, {"source": ["Define the four functionals $ (G_i)_{i=1}^4 $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["for i=1:4\n", " Gi{i} = @(x) sum( sum( G( Li{i}(x) ) ) );\n", "end"]}, {"source": ["Since $L_1 = S \\circ \\text{grad} $ its ajoint reads\n", "$L_1^* = \\text{grad}^* \\circ U$ where $U$ is the upsampling operator\n", "$$ U(v)_{2p_1+s_1,2p_2+s_2} =\n", " \\choice{\n", " v_{p_1,p_2} \\qifq s_1=s_2=0, \\\\\n", " 0 \\quad \\text{otherwise}.\n", " }$\n", "$$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["U = @(x)upsampling( upsampling( x, 1, 2 ), 2, 2 );"]}, {"source": ["The adjoint of the gradient $ \\text{grad}^* =-\\text{div}$\n", "$$\n", " \\text{grad}^*(u) = u_1 \\star \\bar h_1 + u_2 \\star \\bar h_2 \\in\n", " \\RR^{N \\times N}$\n", "$$\n", "is obtained using the reversed filters\n", "$$\n", " \\bar h_1 =\n", " \\begin{pmatrix}$\n", " 1 & 0 & 0 \\\\\n", " 0 & -1 & 0 \\\\\n", " 0 & 0 & 0\n", " \\end{pmatrix}$\n", " \\qandq\n", " \\bar h_2 =\n", " \\begin{pmatrix}$\n", " 0 &-1 & 0 \\\\\n", " 1 & 0 & 0 \\\\\n", " 0 & 0 & 0\n", " \\end{pmatrix}$\n", "$$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["revIdx = [N 1:N-1];\n", "gradS = @(u)(u(revIdx,revIdx,1) - u(:,:,1)) + (u(:,revIdx,2) - u(revIdx,:,2));"]}, {"source": ["Define the adjoint operators of $L_1$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["L1S = @(v)gradS(U(v));"]}, {"source": ["Define the adjoint $L_{i}^*$ of $L_{i}$. Since $L_i = L_1 \\circ\n", "T_{s_i}$, one has $L_i^* = T_{s_i}^* \\circ L_i^* = T_{-s_i} \\circ\n", "L_i^*$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["LShiftS = @(gx,s) circshift( L1S( gx ), -s ); \n", "LiS = { @(x)LShiftS(x,[0,0]), @(x)LShiftS(x,[1,0]), @(x)LShiftS(x,[0,1]), @(x)LShiftS(x,[1,1]) };"]}, {"source": ["Computing the finite differences with above\n", "mentioned orthogonal kernels implies the crucial property that the four operators\n", "$$ L_i : \\mathbb{R}^{N \\times N} \\mapsto \\mathbb{R}^{\\frac{N}{2} \\times \\frac{N}{2} \\times 2} $$\n", "are _tight frames_, _i.e._ satisfy\n", " $$\n", " L_i \\circ L_i^* = b \\, \\text{Id}$\n", " $$\n", "for some $b \\in \\RR$."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 1__\n", "\n", "Check that each subsampled gradient $L_i$ is indeed a tight frame, and\n", "determine the value of $b$.\n", "You can for instance apply the operators to random vector fields."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["We are now ready to compute the proximity operators of each $ G_i $.\n", "Recall that rules of proximal calculus gives us that if $L \\circ L^* = b \\, \\text{Id} $, then\n", "$$ \\text{prox}_{G \\circ L} = \\text{Id} + \\frac{1}{b} L^* \\circ \\left(\n", " \\text{prox}_{b G} - \\text{Id} \\right) \\circ L $$\n", "\n", "\n", "Create the proximity operator of $ G_i $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["proxG_Id = @(u,gamma)proxG(u,gamma) - u;\n", "proxGi = @(x,gamma,i)x + (1/b)*LiS{i}( proxG_Id( Li{i}(x), b*gamma ) );"]}, {"source": ["Using Smoothness of Data-Fidelity\n", "---------------------------------\n", "We rewrite the initial optimization problem as\n", "$$ \\umin{x} E(x,\\la) = F(x) + \\la \\sum_{i=1}^4 G_i(x) $$\n", "where the data-fidelity term is\n", "$$ F(x) = \\frac{1}{2} \\norm{y - \\Phi x}^2 . $$"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["F = @(x) (1/2)*sum( sum( (Phi(x) - y).^2 ) );\n", "E = @(x,lambda) F(x) + lambda * ( Gi{1}(x) + Gi{2}(x) + Gi{3}(x) + Gi{4}(x) );"]}, {"source": ["Computing the proximity operator of $F$\n", "requires the resolution of a linear system. To avoid such a\n", "time-consuming task, the GFB makes use of the smoothness of $F$.\n", "Its gradient is\n", "$$ \\nabla F(x) = \\Phi^* (\\Phi(x) - y). $$\n", "\n", "\n", "_Important:_ be careful not to confuse $\\text{grad}(x)$ (the gradient\n", "of the image) with $\\nabla F$ (the gradient of the functional).\n", "\n", "\n", "We define the adjoint operator $ \\Phi^* $ of $\\Phi$.\n", "One has $\\Phi^* = K^* \\circ M^* = K \\circ M$ since\n", "$ M^* = M $ because it is an orthogonal projector and\n", "$ K^* = K $ because it is a convolution with a symetric kernel."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Phis = @(f)K(M(f));"]}, {"source": ["Create the gradient operator $ \\nabla F $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["nablaF = @(x)Phis( Phi(x) - y );"]}, {"source": ["Moreover, $ \\nabla F $ is affine, so that it is Lipschitz-continuous with Lipschitz constant equal\n", "to the norm of its linear part\n", "$$ \\frac{1}{\\beta} = \\norm{\\Phi^* \\circ \\Phi} \\leq \\norm{M} \\times \\norm{K} = 1, $$\n", "since $ \\norm{M} = 1 $ because it is a projector and\n", "$ \\norm{K} = 1 $ because it is a convolution with a normalized kernel.\n", "Hence in the following we define $\\be = 1$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["beta = 1;"]}, {"source": ["Solving with Generalized Forward-Backward\n", "-----------------------------------------\n", "We are now ready to minimize the functional $E(x,\\la)$.\n", "\n", "\n", "Set the number of parts $n$ in the non-smooth splitting"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 4;"]}, {"source": ["Define the GFB step size $\\gamma$ that should satisfy $0 < \\gamma < 2 \\be$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["gamma = 1.8*beta;"]}, {"source": ["Choose a regularization parameter $ \\la>0 $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambda = 1e-4;"]}, {"source": ["__Exercise 2__\n", "\n", "The parameter $ \\la $ does not appear explicitely in the iterations of the generalized forward-backward algorithm. Where does it step in ?\n", "t scales the functionals $G_i$ and $\\text{prox}_{n \\gamma G_i}$\n", "hould be replaced by $\\text{prox}_{n \\lambda\\gamma G_i}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["The iterates $x_t$ of the GFB will be stored in a variable |x| that we\n", "initialize to $x_0=0$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = zeros(N,N);"]}, {"source": ["The auxiliary variables $z_{i,t}$ will be stored in a $N \\times N\n", "\\times n$ array |z| initialized to 0, so that |z(:,:,i)| stores\n", "$z_{i,t}$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["z = zeros(N,N,n);"]}, {"source": ["__Exercise 3__\n", "\n", "Compute 100 iterations of the generalized forward-backward,\n", "while monitoring the value $E(x_t,\\la)$ of the objective\n", "at iteration $t$. Display the evolution of the objective along\n", "iterations: it must decrease.\n", "= plot(log10(ObjList(1:round(end*.7))-min(ObjList)));\n", "itle( 'log_{10}(E(x_t,\\lambda) - E(x^{*},\\lambda))' );"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAGwCAIAAADOgk3lAAAACXBIWXMAAAsSAAALEgHS3X78AAAA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\nYABE+hdbVo+VSwcleAAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Now that we know how to minimize our functional, we must seek for the most relevent regularization parameter $ \\la $.\n", "Because we know the original image $ f_0 $, we can compare it to the recovered image $x$ for different values of $\\la$. Use the signal-to-noise ratio (SNR) as criterium.\n", "\n", "\n", "Define a range of acceptable values for $\\la$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lambdaList = logspace( -4, -2, 10 );"]}, {"source": ["__Exercise 4__\n", "\n", "Display the resulting SNR as a function of $\\la$.\n", "Take the best regularization parameter and display the\n", "corresponding recovery."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the final image, that has been saved in the variable |recov|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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RZauoVCr7+/uGK6PuzHw+ZzSbkaCPnof2UhgoL8SdnZ08v0euFPQl42Kt6RdQ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\nwRrHN5wW88ViwV1+a2sLNVAuX76MsCXndfJf4NFoRHGI233zzTcicvPmT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Dk0TlEUNZtN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\n/wcizOohc/j8NgAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf\n", "imageplot(recov)\n", "title( sprintf( '\\\\lambda=%.1e; SNR=%.2fdB', bestLambda, SNRmax ) );"]}, {"source": ["Bonus: Composite Regularization\n", "-------------------------------\n", "The degradation operator $\\Phi$ is very aggressive. To achieve better recovery,\n", "it is possible to mix several priors. Let us add a wavelet analysis sparsity prior\n", "in the objective\n", "$$\n", " \\umin{x} F(x) + \\la \\sum_{i=1}^4 G_i(x)\n", " + \\mu G_5(x)\n", " \\qwhereq G_5(x) = \\norm{\\Psi x}_1\n", "$$\n", "where $\\Psi$ is an orthogonal wavelet transform and $\\norm{\\cdot}_1$\n", "is the $\\ell_1$-norm.\n", "\n", "\n", "The number $n$ of simple functionals is now 5."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 5;"]}, {"source": ["Create the wavelet transform $\\Psi$."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 40, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Jmin = 4;\n", "Psi = @(x)perform_wavortho_transf(x,Jmin,+1);"]}, {"source": ["Define its adjoint $\\Psi^*$, where we use the fact that\n", "the adjoint of an othogonal operator is its inverse."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 41, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Psis = @(x)perform_wavortho_transf(x,Jmin,-1);"]}, {"source": ["Similarly to the $\\ell_1-\\ell_2$-norm, the proximity operator of the $\\ell_1$-norm\n", "is a soft-thresholding on each coefficients.\n", "Because $\\Psi$ is orthogonal, it is also a tight frame operator\n", "with bound $b=1$.\n", "\n", "\n", "Create the proximity operator of $ G_5 $."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 42, "cell_type": "code", "language": "python", "metadata": {}, "input": ["l1norm = @(wx)abs(wx);\n", "proxl1 = @(wx,gamma) max(0,1 - gamma./l1norm(wx) ).*wx;\n", "proxG5 = @(x,gamma) Psis( proxl1(Psi(x),gamma) );"]}, {"source": ["__Exercise 5__\n", "\n", "Solve the composite regularization model. Keep the previous value of\n", "$\\la$, set $\\mu = 10^{-3}$,\n", "and perform 500 iterations. Display the results and compare\n", "visually to the previous one. Is the SNR significantly improved ?\n", "Conclude on the SNR as a quality criterium, and on the usefulness of mixing different regularizations priors."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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CQkJCwp1EssC2CipZ1MVU73O8IvU+tzFElDkM7xW1XQBaRaANK8yOUNGGCciI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\nIVqJBJgQQohWIgEmhBCilUiACSGEaCUSYEIIIVqJBJgQQohWIgEmhBCil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"output_type": "display_data"}], "prompt_number": 43, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 44, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}], "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"}]}}}