{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dictionary Learning\n", "===================\n", "\n", "*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", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\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" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from nt_toolbox.signal import load_image, imageplot, plot_dictionary\n", "from nt_toolbox.general import crop" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "w = 10" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Dimension $n= w \\times w$ of the data to be sparse coded." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "n = w*w" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number of atoms $p$ in the dictionary." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "p = 2*n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Number $m$ of patches used for the training." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "m = 20*p" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Target sparsity $k$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "k = 4" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Patch Extraction\n", "----------------\n", "Since the learning is computationnaly intensive, one can only apply it to\n", "small patches extracted from an image." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "f = crop(load_image(\"nt_toolbox/data/barb.bmp\"), 256)\n", "n0 = f.shape[0]" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the input image." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbwAAAGxCAYAAAAZLgMBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGnh0m8TLOgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize = (5,5))\n", "imageplot(f)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Random patch location." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "q = 3*m\n", "\n", "# Random sampling of coordinates of the top left corner or the patches\n", "x = (np.random.random((1, 1, q))*(n0-w)).astype(int)\n", "y = (np.random.random((1, 1, q))*(n0-w)).astype(int)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Extract lots of patches $y_j \\in \\RR^n$, and store them in a matrix $Y=(y_j)_{j=1}^m$." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "[dY, dX] = np.meshgrid(range(w), range(w))\n", "dX = np.tile(dX, (q, 1, 1)).transpose((1, 2, 0))\n", "dY = np.tile(dY, (q, 1, 1)).transpose((1, 2, 0))\n", "Xp = np.tile(x, (w, w, 1)) + dX\n", "Yp = dY + np.tile(y, (w, w, 1))\n", "\n", "# Extract patches\n", "Y = f.flatten()[Yp+Xp*n0]\n", "Y = Y.reshape((w*w, q))" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We remove the mean, since we are going to learn a dictionary of\n", "zero-mean and unit norm atom." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "Y -= Y.mean(axis=0)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Only keep those with largest energy." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "energies = np.sum(Y**2, axis=0)\n", "indexes = np.argsort(energies)[::-1]\n", "Y = Y[:, indexes[:m]];" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def projC(Y):\n", " ''' Scale the patches to unit norm '''\n", " norm = np.tile(np.linalg.norm(Y, axis=0), (Y.shape[0], 1))\n", " Y = np.divide(Y, norm)\n", " return Y \n", "\n", "# Pick p indexes at random to pick patches from Y\n", "sel = np.random.permutation(range(m))[:p]\n", "D = projC(Y[:, sel])\n", "D0 = D.copy()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the initial dictionary." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAINCAYAAABBDWdeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "plot_dictionary(D)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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", "$$ \\forall i=1,\\ldots,n, \\quad\n", " z(i) = \\choice{ x(i) \\qifq \\abs{x(i)} \\geq \\abs{\\bar x(k)}, \\\\\n", " z(i) = 0 \\quad \\text{otherwise}.\n", " }$\n", "$$" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "def projX(X, k):\n", " ''' Sparsity projection, keeps the k largest coefficients '''\n", " X = X * (abs(X) >= np.sort(abs(X), axis=0)[-k, :])\n", " return X" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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", "$x_j$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAF0CAYAAABPH2E+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/sparsity_4_dictionary_learning/exo1" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "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." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 2__\n", "\n", "Perform this gradient descent, and monitor the decay of the energy." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAFdCAYAAAB1gNVOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nImlIAUBERCQNKQCIiIikof8D+LuJtkD0Q+UAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/sparsity_4_dictionary_learning/exo2" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "__Exercise 3__\n", "\n", "Perform the dictionary learning by iterating between sparse coding and\n", "dictionary update." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg0AAAFdCAYAAACAfl7+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEhIlDSIiIhISJQ0iIiISkv8PPt8ulAo94RkAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run -i nt_solutions/sparsity_4_dictionary_learning/exo3" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "## Insert your code here." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Display the dictionary." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgQAAAINCAYAAABBDWdeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "plot_dictionary(D)" ] }, { "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": "3.4.5" } }, "nbformat": 4, "nbformat_minor": 0 }