{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gradient Descent Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tour explores the use of gradient descent method for unconstrained and constrained optimization of a smooth function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Important:* Please read the [installation page](http://gpeyre.github.io/numerical-tours/installation_python/) for details about how to install the toolboxes.\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\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", "$\\newcommand{\\al}{\\alpha}$\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" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient Descent for Unconstrained Problems" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the problem of finding a minimum of a function $f$, hence solving\n", "$$\\umin{x \\in \\RR^d} f(x)$$\n", "where $f : \\RR^d \\rightarrow \\RR$ is a smooth function.\n", "\n", "Note that the minimum is not necessarily unique.\n", "In the general case, $f$ might exhibit local minima, in which case the proposed algorithms is not expected to find a global minimizer of the problem.\n", "In this tour, we restrict our attention to convex function, so that the methods will converge to a global minimizer.\n", "\n", "The simplest method is the gradient descent, that computes\n", "$$ x^{(k+1)} = x^{(k)} - \\tau_k \\nabla f(x^{(k)}), $$\n", "where $\\tau_k>0$ is a step size, and $\\nabla f(x) \\in \\RR^d$ is the gradient of $f$ at the point $x$, and $x^{(0)} \\in \\RR^d$ is any initial point.\n", "\n", "In the convex case, if $f$ is of class $C^2$, in order to ensure convergence, the step size should satisfy\n", "$$ 0 < \\tau_k < \\frac{2}{ \\sup_x \\norm{Hf(x)} } $$\n", "where $Hf(x) \\in \\RR^{d \\times d}$ is the Hessian of $f$ at $x$ and $\\norm{\\cdot}$ is the spectral operator norm (largest eigenvalue). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient Descent in 2-D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider a simple problem, corresponding to the minimization of a 2-D quadratic form\n", "$$ f(x) = \\frac{1}{2} \\pa{ x_1^2 + \\eta x_2^2 } ,$$\n", "where $\\eta>0$ controls the anisotropy, and hence the difficulty, of the problem." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Anisotropy parameter $\\eta$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "eta = 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Function $f$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "f = lambda x : ( x[0]**2 + eta*x[1]**2 ) / 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Background image of the function." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "tx = np.linspace(-.3,1,101)\n", "ty = np.linspace(-.6,.6,101)\n", "[v,u] = np.meshgrid(ty,tx)\n", "F = ( u ** 2 + eta * v ** 2 ) / 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the function as a 2-D image." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf(tx,ty,F.transpose(),10);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gradient." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "Gradf = lambda x : np.array([x[0],eta*x[1]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The step size should satisfy $\\tau_k < 2/\\eta$.\n", "We use here a constant step size." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "tau = 1.6/eta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Initial point for the descent." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "x0 = np.array( [.9,.3] )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercice 1:__\n", "\n", "Perform the gradient descent using a fixed step size $\\tau_k=\\tau$.\n", "Display the decay of the energy $f(x^{(k)})$ through the iteration.\n", "Save the iterates so that X(:,k) corresponds to $x^{(k)}$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optim_1_gradient_descent/exo1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the iterations." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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5ffLYb/W5ffLY77T6PGYYuPvyOp14zczmu/tuM5sP7K2y2yCw3t23Rc/5EfBe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\nICIiwP8HOWMWA2W+qm4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.contourf(tx,ty,F.transpose(),10);\n", "plt.plot(X[0,:], X[1,:], 'k.-');\n", "plt.axis('equal'); " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercice 2:__\n", "\n", "Display the iteration for several different step sizes." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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K//muMdN8oG+a1dEo32+s5dHGep6riyde71gR5R2zhsj+j/A3tXV8M/BX+EyE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\nUYD/H4FDp0s3Mp+xAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optim_1_gradient_descent/exo2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Exercice 3:__\n", "\n", "Implement the optimal step size selection (exact linesearch)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/optim_1_gradient_descent/exo3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient and Divergence of Images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Local differential operators like gradient, divergence and laplacian are the building blocks for variational image processing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load an image $x_0 \\in \\RR^N$ of $N=n \\times n$ pixels." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/gpeyre/anaconda/envs/p34/lib/python3.4/site-packages/IPython/core/magics/pylab.py:161: UserWarning: pylab import has clobbered these variables: ['pylab', 'f']\n", "`%matplotlib` prevents importing * from pylab and numpy\n", " \"\\n`%matplotlib` prevents importing * from pylab and numpy\"\n" ] } ], "source": [ "#from __future__ import division\n", "from nt_toolbox.general import *\n", "from nt_toolbox.signal import *\n", "%pylab inline" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/gpeyre/anaconda/envs/p34/lib/python3.4/site-packages/skimage/transform/_warps.py:84: UserWarning: The default mode, 'constant', will be changed to 'reflect' in skimage 0.15.\n", " warn(\"The default mode, 'constant', will be changed to 'reflect' in \"\n" ] } ], "source": [ "n = 256\n", "name = 'nt_toolbox/data/lena.png'\n", "x0 = load_image(name, n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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cuYaEQ8NVyqYiETUGen+KHigLPC8d3a1bt/CP//iP+N73vufjABQNk9OgvDC8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\n7aHHAdgEaVM2Ebl6D+r6/hne1ceKeS+Cu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5UcCsXQ3t5uca1vWyYdEFnwEnC/AcVwl94N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\nOPq0oOc1MHfBWgr/fsbsl1GmvWVGPBDsQ0UUhL9fX6bssxjvt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(x0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a continuous function $g$, the gradient reads\n", "$$\\nabla g(s) = \\pa{ \\pd{g(s)}{s_1}, \\pd{g(s)}{s_2} } \\in \\RR^2.$$\n", "(note that here, the variable $d$ denotes the 2-D spacial position).\n", "\n", "We discretize this differential operator on a discrete image $x \\in \\RR^N$ using first order finite differences. \n", "$$(\\nabla x)_i = ( x_{i_1,i_2}-x_{i_1-1,i_2}, x_{i_1,i_2}-x_{i_1,i_2-1} ) \\in \\RR^2.$$\n", "Note that for simplity we use periodic boundary conditions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute its gradient, using finite differences." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def grad(x):\n", " hdiff = x - x[r_[len(x)-1,:len(x)-1],:]\n", " vdiff = x - x[:,r_[len(x)-1,:len(x)-1]]\n", " return concatenate((hdiff[...,newaxis],vdiff[...,newaxis]),axis=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thus has $\\nabla : \\RR^N \\mapsto \\RR^{N \\times 2}.$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "v = grad(x0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can display each of its components." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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5paHU6pvjAIBSXGwEN+qk/d9VwKfgSSlQx3Gwt7eHTCZj+ruzs4PPf/7zeOCB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\nSUtacofL/wPdstbX9GdSygAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(v[:,:,0], 'd/dx', (1,2,1))\n", "imageplot(v[:,:,1], 'd/dy', (1,2,2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can display its magnitude $\\norm{(\\nabla x)_i}$, which is large near edges." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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8CZLT/rNBItjf25N53kF4R+ARWKFQ0A9+8AMdOnRIQ0NDFm4Rcv3Mz/yMTp48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rnn8Oyzz8oEpnA4jAcffBD/9V//hcrKSvzbv/0bFhYW4PV6JS4/duwYTCYTgsEgNm7cKCk0CurE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\nN1CvQM8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(sqrt(sum(v * v,axis=2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The divergence operator maps vector field to images. \n", "For continuous vector fields \\(v(s) \\in \\RR^2\\), it is defined as\n", "$$\\text{div}(v)(s) = \\pd{v_1(s)}{s_1} + \\pd{v_2(s)}{s_2} \\in \\RR.$$\n", "(note that here, the variable \\(s\\) denotes the 2-D spacial position).\n", "It is minus the adjoint of the gadient, i.e. $\\text{div} = - \\nabla^*$.\n", "\n", "It is discretized, for $v=(v^1,v^2)$ as\n", "$$\\text{div}(v)_i = v^1_{i_1+1,i_2} - v^1_{i_1,i_2} + v^2_{i_1,i_2+1} - v^2_{i_1,i_2} .$$" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "div = lambda x : x[r_[1:len(x),0],:,0] - x[:,:,0] + x[:,r_[1:len(x),0],1] - x[:,:,1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Laplacian operatore is defined as $\\Delta=\\text{div} \\circ \\nabla = -\\nabla^* \\circ \\nabla$.\n", "It is thus a negative symmetric operator." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "delta = lambda x : div(grad(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display $\\Delta x_0$." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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yo4geCnojg5FAAT0ZhgFAeMkuoEgI5mQyWTgmDY+FV/aQEWH0aU0fjgDdeT+P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czPz+P1119HJBJBfX098vPzpTPzxMQEmpqaMDs7K5wGv9+Po0ePorOzE/feey8OHTqE0dFRZGZm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(delta(x0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check that the relation $\\norm{\\nabla x} = - \\dotp{\\Delta x}{x}.$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Should be 0:\n", " -1.13686837722e-13\n" ] } ], "source": [ "print('Should be 0:\\n', (grad(x0) * grad(x0)).sum() + (delta(x0) * x0).sum() )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient Descent in Image Processing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider now the problem of denoising an image $y \\in \\RR^d$ where $d = n \\times n$ is the number of pixels ($n$ being the number of rows/columns in the image)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add noise to the original image, to simulate a noisy image." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "sigma = 0.1\n", "y = x0 + sigma * randn(n,n)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the noisy image $y$." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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MT0+LW+zSpUtsbm6yu7uLSqXCaDRyfHxMoVAgFosRj8fp6emhUqmQSqUoFosABINB9Ho9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(clamp(y))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Denoising is obtained by minimizing the following functional\n", "$$\\umin{x \\in \\RR^d} f(x) = \\frac{1}{2} \\norm{y-x}^2 + \\la J_\\epsilon(x)$$\n", "where $J_\\epsilon(x)$ is a smoothed total variation of the image.\n", "$$J_\\epsilon(x) = \\sum_i \\norm{ (G x)_i }_{\\epsilon}$$\n", "where $(Gx)_i \\in \\RR^2$ is an approximation of the gradient of $x$ at pixel $i$ and for $u \\in \\RR^2$, we use the following smoothing of the $L^2$ norm in $\\RR^2$\n", "$$\\norm{u}_\\epsilon = \\sqrt{ \\epsilon^2 + \\norm{u}^2 },$$\n", "for a small value of $\\epsilon>0$.\n", "\n", "The gradient of the functional read\n", "$$\\nabla f(x) = x-y + \\lambda \\nabla J_\\epsilon(x)$$\n", "where the gradient of the smoothed TV norm is\n", "$$\\nabla J_\\epsilon(x)_i = G^*( u ) \\qwhereq u_i = \\frac{ (G x)_i }{\\norm{ (G x)_i }_\\epsilon} $$\n", "where $G^*$ is the adjoint operator of $G$ which corresponds to minus a discretized divergence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Value for $\\lambda$." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "la = 0.3 / 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Value for $\\epsilon$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "epsilon = 1e-3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TV norm." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "norm_eps = lambda u : sqrt(eps**2 + sum(u * u, axis=2))\n", "J = lambda x : sum(sum(norm_eps(grad(x))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Function $f$ to minimize." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "f = lambda x : 1/2 * norm(x-y)**2 + la * J(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gradient of $J_\\epsilon$. Note that |div| implement $-G^*$." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "normalize_vec = lambda u : u / tile(norm_eps(u)[...,newaxis], (1, 1, 2))\n", "gradTV = lambda x : - divergence(normalize_vec(grad(x)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gradient of the functional." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "Gradf = lambda x : x - y + la * gradTV(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The step size should satisfy\n", "$$0 < \\tau_k < \\frac{2}{ 1 + 4 \\lambda / \\epsilon }.$$\n", "Here we use a slightly larger step size, which still work in practice." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "tau = 1.8/( 1 + la*8/epsilon )\n", "tau = tau*4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Exercice 3:_\n", "Implement the gradient descent. Monitor the decay of $f$ through the iterations." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display the resulting denoised image." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "#imageplot(clamp(x))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Constrained Optimization Using Projected Gradient Descent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider a linear imaging operator $\\Phi : x \\mapsto \\Phi(x)$ that maps high resolution images to low dimensional observations.\n", "Here we consider a pixel masking operator, that is diagonal over the spacial domain." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To emphasis the effect of the TV functional, we use a simple geometric image." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "n = 64\n", "radius = 0.6\n", "t = linspace(-1,1,n)\n", "[Y,X] = meshgrid(t,t)\n", "x0 = (maximum( abs(X),abs(Y) ) < radius) * 1.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider here the inpainting problem.\n", "This simply corresponds to a masking operator.\n", "Here we remove the central part of the image." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "nt_solutions/optim_1_gradient_descent/exo3.py:3: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n", " x = x0\n" ] } ], "source": [ "a = 4\n", "Lambda = ones((n,n))\n", "Lambda[n/2-a:n/2+a,:] = 0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Masking operator $\\Phi$.\n", "Note that it is symmetric, i.e. $\\Phi^*=\\Phi$." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "Phi = lambda x : x * Lambda\n", "PhiS = Phi " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Noiseless observations $y=\\Phi x_0$." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "y = Phi(x0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Display." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imageplot(x0, 'Original', (1,2,1))\n", "imageplot(y, 'Damaged', (1,2,2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want to solve the noiseless inverse problem $y=\\Phi f$ using a total variation regularization:\n", "$$\\umin{ y=\\Phi x } J_\\epsilon(x).$$\n", "We use the following projected gradient descent\n", "$$x^{(k+1)} = \\text{Proj}_{\\Hh}( x^{(k)} - \\tau_k \\nabla J_{\\epsilon}(x^{(k)}) )$$\n", "where $\\text{Proj}_{\\Hh}$ is the orthogonal projection on the set of linear constraint $\\Phi x = y$, and is easy to compute for inpainting" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "ProjH = lambda x : x + PhiS( y - Phi(x) )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Exercice 4:_\n", "Display the evolution of the inpainting process." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Exercice 5:_\n", "Try with several values of $\\epsilon$." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "raw", "metadata": {}, "source": [ "" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 1 }