{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Compressive Sensing with factorized operator\n", "\n", "This notebooks consider a compressive sensing problem:\n", "\n", "$$\n", "\\arg min_\\mathbf{x} = \\frac{1}{2} \\|\\mathbf{Ax}-\\mathbf{y}\\|_2^2 + \\lambda \\|\\mathbf{x}\\|_1 \n", "$$\n", "\n", "where the matrix $\\mathbf{A}$ is a randomized sampling matrix. \n", "\n", "We investigate here the scenario where the matrix $\\mathbf{A}$ is dense and can be explicitely factorized via Cholesky factorization and used in subsequent operations when computing the proximal of the L2 operator. We will see that this drammatically reduce the cost of the L2 operator, and the overall solution of the problem at hand." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pylops\n", "import pyproximal\n", "\n", "np.random.seed(0)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "n, m = 40, 100\n", "mava = 10\n", "\n", "# model\n", "x = np.zeros(m)\n", "iava = np.random.permutation(np.arange(m))[:mava]\n", "x[iava] = np.random.normal(0, 1, mava)\n", "\n", "# operator\n", "A = np.random.normal(0, 1, (n, m))\n", "Aop = pylops.MatrixMult(A)\n", "y = Aop * x" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(12, 3))\n", "axs[0].plot(x, 'k')\n", "axs[0].set_title('x')\n", "axs[1].plot(y, 'k')\n", "axs[1].set_title('y');" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADMM\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "tau = 3.801281e-03\tniter = 1000\n", "\n", " Itn x[0] f g J = f + g\n", " 1 1.41877e-02 3.499e+01 2.308e+00 3.730e+01\n", " 2 1.64682e-02 2.262e+01 3.391e+00 2.601e+01\n", " 3 1.91209e-02 1.484e+01 4.359e+00 1.920e+01\n", " 4 1.94689e-02 1.037e+01 5.042e+00 1.541e+01\n", " 5 1.83581e-02 7.599e+00 5.544e+00 1.314e+01\n", " 6 1.62899e-02 5.788e+00 5.924e+00 1.171e+01\n", " 7 1.34454e-02 4.564e+00 6.203e+00 1.077e+01\n", " 8 9.97758e-03 3.700e+00 6.406e+00 1.011e+01\n", " 9 6.18277e-03 3.069e+00 6.574e+00 9.642e+00\n", " 10 2.25635e-03 2.594e+00 6.694e+00 9.288e+00\n", " 101 -8.28588e-06 4.620e-01 5.794e+00 6.256e+00\n", " 201 4.75455e-06 4.052e-01 5.258e+00 5.663e+00\n", " 301 1.05431e-05 2.859e-01 5.149e+00 5.435e+00\n", " 401 1.79197e-07 2.197e-01 5.126e+00 5.345e+00\n", " 501 2.87440e-06 1.903e-01 5.143e+00 5.333e+00\n", " 601 1.76532e-07 1.857e-01 5.147e+00 5.333e+00\n", " 701 1.73405e-08 1.853e-01 5.147e+00 5.333e+00\n", " 801 1.72300e-09 1.853e-01 5.147e+00 5.333e+00\n", " 901 1.71462e-10 1.853e-01 5.147e+00 5.333e+00\n", " 992 2.10134e-11 1.853e-01 5.147e+00 5.333e+00\n", " 993 2.05342e-11 1.853e-01 5.147e+00 5.333e+00\n", " 994 2.00660e-11 1.853e-01 5.147e+00 5.333e+00\n", " 995 1.96085e-11 1.853e-01 5.147e+00 5.333e+00\n", " 996 1.91613e-11 1.853e-01 5.147e+00 5.333e+00\n", " 997 1.87244e-11 1.853e-01 5.147e+00 5.333e+00\n", " 998 1.82975e-11 1.853e-01 5.147e+00 5.333e+00\n", " 999 1.78802e-11 1.853e-01 5.147e+00 5.333e+00\n", " 1000 1.74726e-11 1.853e-01 5.147e+00 5.333e+00\n", "\n", "Total time (s) = 0.11\n", "---------------------------------------------------------\n", "\n", "ADMM\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "tau = 3.801281e-03\tniter = 1000\n", "\n", " Itn x[0] f g J = f + g\n", " 1 1.41877e-02 3.499e+01 2.308e+00 3.730e+01\n", " 2 1.64682e-02 2.262e+01 3.391e+00 2.601e+01\n", " 3 1.91209e-02 1.484e+01 4.359e+00 1.920e+01\n", " 4 1.94689e-02 1.037e+01 5.042e+00 1.541e+01\n", " 5 1.83581e-02 7.599e+00 5.544e+00 1.314e+01\n", " 6 1.62899e-02 5.788e+00 5.924e+00 1.171e+01\n", " 7 1.34454e-02 4.564e+00 6.203e+00 1.077e+01\n", " 8 9.97758e-03 3.700e+00 6.406e+00 1.011e+01\n", " 9 6.18277e-03 3.069e+00 6.574e+00 9.642e+00\n", " 10 2.25635e-03 2.594e+00 6.694e+00 9.288e+00\n", " 101 -8.28588e-06 4.620e-01 5.794e+00 6.256e+00\n", " 201 4.75455e-06 4.052e-01 5.258e+00 5.663e+00\n", " 301 1.05431e-05 2.859e-01 5.149e+00 5.435e+00\n", " 401 1.79197e-07 2.197e-01 5.126e+00 5.345e+00\n", " 501 2.87440e-06 1.903e-01 5.143e+00 5.333e+00\n", " 601 1.76532e-07 1.857e-01 5.147e+00 5.333e+00\n", " 701 1.73405e-08 1.853e-01 5.147e+00 5.333e+00\n", " 801 1.72300e-09 1.853e-01 5.147e+00 5.333e+00\n", " 901 1.71462e-10 1.853e-01 5.147e+00 5.333e+00\n", " 992 2.10134e-11 1.853e-01 5.147e+00 5.333e+00\n", " 993 2.05342e-11 1.853e-01 5.147e+00 5.333e+00\n", " 994 2.00660e-11 1.853e-01 5.147e+00 5.333e+00\n", " 995 1.96085e-11 1.853e-01 5.147e+00 5.333e+00\n", " 996 1.91613e-11 1.853e-01 5.147e+00 5.333e+00\n", " 997 1.87244e-11 1.853e-01 5.147e+00 5.333e+00\n", " 998 1.82975e-11 1.853e-01 5.147e+00 5.333e+00\n", " 999 1.78802e-11 1.853e-01 5.147e+00 5.333e+00\n", " 1000 1.74726e-11 1.853e-01 5.147e+00 5.333e+00\n", "\n", "Total time (s) = 0.10\n", "---------------------------------------------------------\n", "\n", "ADMM\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "tau = 3.801281e-03\tniter = 1000\n", "\n", " Itn x[0] f g J = f + g\n", " 1 1.41877e-02 3.499e+01 2.308e+00 3.730e+01\n", " 2 1.64682e-02 2.262e+01 3.391e+00 2.601e+01\n", " 3 1.91209e-02 1.484e+01 4.359e+00 1.920e+01\n", " 4 1.94689e-02 1.037e+01 5.042e+00 1.541e+01\n", " 5 1.83581e-02 7.599e+00 5.544e+00 1.314e+01\n", " 6 1.62899e-02 5.788e+00 5.924e+00 1.171e+01\n", " 7 1.34454e-02 4.564e+00 6.203e+00 1.077e+01\n", " 8 9.97758e-03 3.700e+00 6.406e+00 1.011e+01\n", " 9 6.18277e-03 3.069e+00 6.574e+00 9.642e+00\n", " 10 2.25635e-03 2.594e+00 6.694e+00 9.288e+00\n", " 101 -8.28588e-06 4.620e-01 5.794e+00 6.256e+00\n", " 201 4.75455e-06 4.052e-01 5.258e+00 5.663e+00\n", " 301 1.05431e-05 2.859e-01 5.149e+00 5.435e+00\n", " 401 1.79197e-07 2.197e-01 5.126e+00 5.345e+00\n", " 501 2.87440e-06 1.903e-01 5.143e+00 5.333e+00\n", " 601 1.76532e-07 1.857e-01 5.147e+00 5.333e+00\n", " 701 1.73405e-08 1.853e-01 5.147e+00 5.333e+00\n", " 801 1.72300e-09 1.853e-01 5.147e+00 5.333e+00\n", " 901 1.71462e-10 1.853e-01 5.147e+00 5.333e+00\n", " 992 2.10134e-11 1.853e-01 5.147e+00 5.333e+00\n", " 993 2.05342e-11 1.853e-01 5.147e+00 5.333e+00\n", " 994 2.00660e-11 1.853e-01 5.147e+00 5.333e+00\n", " 995 1.96085e-11 1.853e-01 5.147e+00 5.333e+00\n", " 996 1.91613e-11 1.853e-01 5.147e+00 5.333e+00\n", " 997 1.87244e-11 1.853e-01 5.147e+00 5.333e+00\n", " 998 1.82975e-11 1.853e-01 5.147e+00 5.333e+00\n", " 999 1.78802e-11 1.853e-01 5.147e+00 5.333e+00\n", " 1000 1.74725e-11 1.853e-01 5.147e+00 5.333e+00\n", "\n", "Total time (s) = 0.02\n", "---------------------------------------------------------\n", "\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = pyproximal.L2(Aop, y, niter=20)\n", "f1 = pyproximal.L2(Aop, y, densesolver='scipy')\n", "f2 = pyproximal.L2(Aop, y, densesolver='factorize')\n", "g = pyproximal.L1()\n", "\n", "ATA = Aop.H * Aop\n", "ATA.explicit = False\n", "L = np.abs(ATA.eigs(1)[0])\n", "niter = 1000\n", "tau= 0.95/L\n", "\n", "xinv = pyproximal.optimization.primal.ADMM(f, g, np.zeros_like(x),\n", " tau, niter=niter, show=True)[0]\n", "\n", "xinv1 = pyproximal.optimization.primal.ADMM(f1, g, np.zeros_like(x),\n", " tau, niter=niter, show=True)[0]\n", "\n", "xinv2 = pyproximal.optimization.primal.ADMM(f2, g, np.zeros_like(x),\n", " tau, niter=niter, show=True)[0]\n", "\n", "\n", "fig, axs = plt.subplots(2, 1, figsize=(16, 13))\n", "axs[0].plot(x, 'k')\n", "axs[0].plot(xinv, '--r')\n", "axs[0].plot(xinv1, '--b')\n", "axs[0].plot(xinv2, '--g')\n", "axs[0].set_title('x')\n", "axs[1].plot(y, 'k')\n", "axs[1].plot(Aop @ xinv, '--r')\n", "axs[1].plot(Aop @ xinv1, '--b')\n", "axs[1].plot(Aop @ xinv2, '--g')\n", "axs[1].set_title('y');" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "103 ms ± 594 μs per loop (mean ± std. dev. of 3 runs, 5 loops each)\n", "103 ms ± 4.29 ms per loop (mean ± std. dev. of 3 runs, 5 loops each)\n", "17.2 ms ± 910 μs per loop (mean ± std. dev. of 3 runs, 5 loops each)\n" ] } ], "source": [ "%timeit -n 5 -r 3 pyproximal.optimization.primal.ADMM(f, g, np.zeros_like(x), tau, niter=niter)\n", "%timeit -n 5 -r 3 pyproximal.optimization.primal.ADMM(f1, g, np.zeros_like(x), tau, niter=niter)\n", "%timeit -n 5 -r 3 pyproximal.optimization.primal.ADMM(f2, g, np.zeros_like(x), tau, niter=niter)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(np.float64(0.15373153132284514),\n", " np.float64(0.15373153132284514),\n", " np.float64(0.15373153132285236))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.linalg.norm(x-xinv), np.linalg.norm(x-xinv1), np.linalg.norm(x-xinv2)" ] } ], "metadata": { "kernelspec": { "display_name": "pylops", "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": "3.13.5" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 2 }