{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 1D Post-stack inversion with proximal solvers" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import os\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from scipy.signal import filtfilt\n", "\n", "from pylops.basicoperators import *\n", "from pylops.signalprocessing import *\n", "from pylops.utils.wavelets import *\n", "from pylops.avo.poststack import *\n", "from pylops.optimization.sparsity import *\n", "\n", "from pyproximal.proximal import *\n", "from pyproximal.proximal import VStack as VStackprox\n", "from pyproximal.optimization.primal import *\n", "from pyproximal.optimization.primaldual import *\n", "from pyproximal.optimization.bregman import *\n", "from pyproximal.optimization.segmentation import *\n", "\n", "np.random.seed(0)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# os.environ['NUMBA_NUM_THREADS']" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def RRE(x, xinv):\n", " return np.linalg.norm(x-xinv) / np.linalg.norm(x)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def PSNR(x, xinv):\n", " return 10 * np.log10(len(xinv) * np.max(xinv) / np.linalg.norm(x-xinv))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider the following problem\n", "\n", "$$\n", "\\mathbf{x} = arg min_\\mathbf{x} \\frac{\\sigma}{2} ||\\mathbf{W}\\mathbf{D}\\mathbf{x} - \\mathbf{y} ||_2^2 + ||\\mathbf{D} \\mathbf{x}||_1\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### True proximal of convolution operator" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "nt = 101\n", "dt = 0.004\n", "t = np.arange(nt)*dt\n", "wav, th, wavc = ricker(t[:11], f0=20)\n", "\n", "x = 1800 * np.ones(nt)\n", "x[nt//4:nt//2] = 2000\n", "x[nt//2:2*nt//3] = 1700\n", "x = np.log(x)\n", "\n", "# Add gradient at the end \n", "#istart = nt-35\n", "#iend = nt-20\n", "#xgrad = np.arange(iend - istart) * (x[0] - x[istart-1]) / (iend - istart) + x[istart-1]\n", "#x[istart:iend] = xgrad\n", "#x[iend:] = x[0]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Background model\n", "x0 = filtfilt(np.ones(30)/30, 1, x)\n", "\n", "# Data\n", "Lop = PoststackLinearModelling(wav, nt)\n", "y = Lop * x\n", "y = y + np.random.normal(0, 0e-3, x.shape)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma=0.01\n", "l1 = VStackprox([L1(sigma=sigma), L2(sigma=sigma)], [60, nt-60])#L1(sigma=sigma)\n", "l2 = L2(Op=Lop, b=y, niter=10)\n", "Dop = FirstDerivative(nt, edge=True, kind='forward')\n", "\n", "# Split-Bregman\n", "mu = 1.3\n", "lamda = 0.15\n", "niter = 100\n", "niterinner = 3\n", "xsb = splitbregman(Lop, y, [Dop], x0=x0, niter_outer=niter, niter_inner=niterinner, mu=mu, epsRL1s=[lamda], \n", " tol=1e-4, tau=1, **dict(iter_lim=30, damp=1e-3))[0]\n", "\n", "# L-ADMM\n", "#tau = 1. / np.real((Lop.H*Lop).eigs(neigs=1, which='LM')[0]) # optimal tau=1/maxeig(Lop^H Lop)\n", "#mu = 0.99 * tau / np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0]) # optimal mu=tau/maxeig(Dop^H Dop)\n", "L = 8 #np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0])\n", "tau = 1.\n", "mu = 0.99 * tau / L # optimal mu<=tau/maxeig(Dop^H Dop)\n", "xladmm, zladmm = LinearizedADMM(l2, l1, Dop, tau=tau, mu=mu, x0=x0, niter=500)\n", "\n", "fig, axs = plt.subplots(2, 1, figsize=(10, 7))\n", "fig.suptitle('post-stack inversion', fontsize=14, fontweight='bold')\n", "axs[0].plot(t, y, 'k', lw=2, label=r'$y$')\n", "axs[1].plot(t, x, 'k', lw=2, label=r'$x$')\n", "axs[1].plot(t, x0, 'k', lw=1, label=r'$x0$')\n", "axs[1].plot(t, xladmm, 'b', lw=2, label=r'$x_{L-ADMM}$')\n", "axs[1].plot(t, xsb, 'r', lw=2, label=r'$x_{Split-Bregman}$')\n", "axs[1].legend();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bregman\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "Inner Solver: \n", "alpha = 5.000000e-02\ttolf = 1.000000e-10\ttolx = 1.000000e-10\n", "niter = 10\n", "\n", " Itn x[0] f g J = f + g\n", " 1 7.50201e+00 7.580e-04 1.202e-02 1.278e-02\n", " 2 7.49608e+00 8.650e-07 1.350e-02 1.350e-02\n", " 3 7.49588e+00 4.477e-07 1.350e-02 1.350e-02\n", " 4 7.49582e+00 3.193e-07 1.350e-02 1.350e-02\n", " 5 7.49578e+00 2.581e-07 1.350e-02 1.350e-02\n", " 6 7.49574e+00 2.223e-07 1.350e-02 1.350e-02\n", " 7 7.49571e+00 1.985e-07 1.350e-02 1.350e-02\n", " 8 7.49569e+00 1.811e-07 1.350e-02 1.350e-02\n", " 9 7.49566e+00 1.676e-07 1.350e-02 1.350e-02\n", " 10 7.49563e+00 1.569e-07 1.350e-02 1.350e-02\n", "\n", "Total time (s) = 1.65\n", "---------------------------------------------------------\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma = 0.05\n", "l1 = VStackprox([L1(), L2()], [60, nt-60]) #L1()\n", "l2 = L2(Op=Lop, b=y, niter=20, warm=True)\n", "Dop = FirstDerivative(nt, edge=True, kind='forward')\n", "\n", "# approach with norms of 2 operators (CHECK!)\n", "#tau = 1. / np.real((Lop.H*Lop).eigs(neigs=1, which='LM')[0]) # optimal tau=1/maxeig(Lop^H Lop)\n", "#mu = 0.99 * tau / np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0]) # optimal mu=tau/maxeig(Dop^H Dop)\n", "\n", "# most common approach\n", "L = np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0])\n", "tau = 1.\n", "mu = 0.99 * tau / L # optimal mu<=tau/maxeig(Dop^H Dop)\n", "\n", "xb = Bregman(l2, l1, x0, LinearizedADMM, A=Dop, alpha=sigma, \n", " niterouter=10, show=True, **dict(tau=tau, mu=mu, niter=400))\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "fig.suptitle('post-stack inversion', fontsize=14, fontweight='bold')\n", "ax.plot(t, x, 'k', lw=2, label=r'$x$')\n", "ax.plot(t, x0, 'k', lw=1, label=r'$x0$')\n", "ax.plot(t, xladmm, 'b', lw=2, label=r'$x_{L-ADMM}$')\n", "ax.plot(t, xb, 'r', lw=2, label=r'$x_{Bregman/L-ADMM}$')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And PrimalDual solver" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Primal-dual: min_x f(Ax) + x^T z + g(x)\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "Additional vector (z): None\n", "tau = 0.33587572106361\t\tmu = 0.3535533905932738\n", "theta = 1.00\t\tniter = 200\n", "\n", " Itn x[0] f g z^x J = f + g + z^x\n", " 1 7.49553e+00 1.370e-02 2.890e-03 0.000e+00 1.659e-02\n", " 2 7.49518e+00 5.442e-03 3.668e-03 0.000e+00 9.109e-03\n", " 3 7.49471e+00 3.333e-03 3.860e-03 0.000e+00 7.193e-03\n", " 4 7.49426e+00 2.504e-03 3.837e-03 0.000e+00 6.342e-03\n", " 5 7.49398e+00 2.078e-03 3.926e-03 0.000e+00 6.003e-03\n", " 6 7.49393e+00 1.816e-03 4.082e-03 0.000e+00 5.898e-03\n", " 7 7.49415e+00 1.636e-03 4.156e-03 0.000e+00 5.791e-03\n", " 8 7.49463e+00 1.501e-03 4.129e-03 0.000e+00 5.630e-03\n", " 9 7.49532e+00 1.397e-03 4.046e-03 0.000e+00 5.442e-03\n", " 10 7.49618e+00 1.312e-03 3.920e-03 0.000e+00 5.232e-03\n", " 21 7.50728e+00 7.669e-04 3.479e-03 0.000e+00 4.246e-03\n", " 41 7.52023e+00 3.954e-04 3.195e-03 0.000e+00 3.591e-03\n", " 61 7.52081e+00 2.492e-04 3.123e-03 0.000e+00 3.372e-03\n", " 81 7.51287e+00 1.888e-04 2.988e-03 0.000e+00 3.177e-03\n", " 101 7.50578e+00 1.611e-04 2.893e-03 0.000e+00 3.055e-03\n", " 121 7.50126e+00 1.411e-04 2.827e-03 0.000e+00 2.968e-03\n", " 141 7.49834e+00 1.244e-04 2.773e-03 0.000e+00 2.897e-03\n", " 161 7.49675e+00 1.084e-04 2.743e-03 0.000e+00 2.851e-03\n", " 181 7.49588e+00 8.974e-05 2.717e-03 0.000e+00 2.807e-03\n", " 192 7.49560e+00 7.967e-05 2.700e-03 0.000e+00 2.780e-03\n", " 193 7.49558e+00 7.879e-05 2.699e-03 0.000e+00 2.778e-03\n", " 194 7.49556e+00 7.793e-05 2.697e-03 0.000e+00 2.775e-03\n", " 195 7.49553e+00 7.708e-05 2.696e-03 0.000e+00 2.773e-03\n", " 196 7.49551e+00 7.623e-05 2.695e-03 0.000e+00 2.771e-03\n", " 197 7.49549e+00 7.540e-05 2.694e-03 0.000e+00 2.770e-03\n", " 198 7.49547e+00 7.457e-05 2.693e-03 0.000e+00 2.768e-03\n", " 199 7.49544e+00 7.376e-05 2.692e-03 0.000e+00 2.766e-03\n", " 200 7.49542e+00 7.295e-05 2.691e-03 0.000e+00 2.764e-03\n", "\n", "Total time (s) = 0.08\n", "---------------------------------------------------------\n", "\n", "Adaptive Primal-dual: min_x f(Ax) + x^T z + g(x)\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "Additional vector (z): None\n", "tau0 = 3.358757e-01\tmu0 = 3.535534e-01\n", "alpha0 = 5.000000e-01\teta = 9.500000e-01\n", "s = 1.000000e-01\tdelta = 1.500000e+00\n", "niter = 80\t\ttol = 1.000000e-10\n", "\n", " Itn x[0] f g z^x J = f + g + z^x\n", " 2 7.49532e+00 1.370e-02 2.895e-03 0.000e+00 1.660e-02\n", " 3 7.49449e+00 3.815e-03 3.887e-03 0.000e+00 7.702e-03\n", " 4 7.49311e+00 1.940e-03 4.146e-03 0.000e+00 6.086e-03\n", " 5 7.49251e+00 1.351e-03 4.287e-03 0.000e+00 5.639e-03\n", " 6 7.49241e+00 9.318e-04 4.754e-03 0.000e+00 5.686e-03\n", " 7 7.49266e+00 7.886e-04 4.973e-03 0.000e+00 5.762e-03\n", " 8 7.49412e+00 7.429e-04 5.030e-03 0.000e+00 5.773e-03\n", " 9 7.49583e+00 6.301e-04 5.286e-03 0.000e+00 5.916e-03\n", " 10 7.49773e+00 5.929e-04 5.309e-03 0.000e+00 5.902e-03\n", " 17 7.51904e+00 2.539e-04 4.526e-03 0.000e+00 4.780e-03\n", " 25 7.52814e+00 1.278e-04 3.770e-03 0.000e+00 3.898e-03\n", " 33 7.53140e+00 1.110e-04 3.519e-03 0.000e+00 3.631e-03\n", " 41 7.53011e+00 9.744e-05 3.643e-03 0.000e+00 3.740e-03\n", " 49 7.52569e+00 8.694e-05 3.286e-03 0.000e+00 3.373e-03\n", " 57 7.51919e+00 8.060e-05 3.181e-03 0.000e+00 3.261e-03\n", " 65 7.51340e+00 7.296e-05 3.132e-03 0.000e+00 3.205e-03\n", " 72 7.50854e+00 6.480e-05 2.957e-03 0.000e+00 3.022e-03\n", " 73 7.50729e+00 6.494e-05 2.932e-03 0.000e+00 2.997e-03\n", " 74 7.50705e+00 6.390e-05 2.919e-03 0.000e+00 2.983e-03\n", " 75 7.50581e+00 6.396e-05 2.900e-03 0.000e+00 2.963e-03\n", " 76 7.50557e+00 6.288e-05 2.889e-03 0.000e+00 2.952e-03\n", " 77 7.50443e+00 6.276e-05 2.873e-03 0.000e+00 2.936e-03\n", " 78 7.50419e+00 6.202e-05 2.863e-03 0.000e+00 2.925e-03\n", " 79 7.50311e+00 6.116e-05 2.850e-03 0.000e+00 2.911e-03\n", " 80 7.50289e+00 6.121e-05 2.841e-03 0.000e+00 2.902e-03\n", " 81 7.50205e+00 6.076e-05 2.829e-03 0.000e+00 2.890e-03\n", "\n", "Total time (s) = 0.07\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma=0.01\n", "l1 = VStackprox([L1(sigma=sigma), L2(sigma=sigma)], [60, nt-60]) #L1(sigma=sigma)\n", "l2 = L2(Op=Lop, b=y, niter=10)\n", "Dop = FirstDerivative(nt, edge=True, kind='forward')\n", "\n", "# most common approach\n", "L = 8. # np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0])\n", "#tau = 1.\n", "#mu = 0.99 / (tau * L)\n", "tau = 0.95 / np.sqrt(L)\n", "mu = 0.95 / (tau * L)\n", "\n", "xpd = PrimalDual(l2, l1, Dop, x0, tau=tau, mu=mu, niter=200, show=True)\n", "\n", "xpd_ada, steps = AdaptivePrimalDual(l2, l1, Dop, x0, tau=tau, mu=mu, s=0.1,\n", " niter=80, show=True)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "fig.suptitle('post-stack inversion', fontsize=14, fontweight='bold')\n", "ax.plot(t, x, 'k', lw=2, label=r'$x$')\n", "ax.plot(t, x0, 'k', lw=1, label=r'$x0$')\n", "ax.plot(t, xladmm, 'b', lw=2, label=r'$x_{L-ADMM}$')\n", "ax.plot(t, xpd, 'r', lw=2, label=r'$x_{Primal-Dual}$')\n", "ax.plot(t, xpd_ada, 'g', lw=2, label=r'$x_{Ada-Primal-Dual}$')\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(steps[0], 'k')\n", "plt.plot(steps[1], 'r');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also choose the niter in L2 to be adaptive, start with fewer and then increase" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def niter(count, niter0, k, nitermax):\n", " niter = min(int(niter0 + k * count), nitermax)\n", " return niter\n", "\n", "plt.figure()\n", "plt.plot(np.array([niter(i, 5, 0.1, 10) for i in np.arange(100)]), 'k');" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Primal-dual: min_x f(Ax) + x^T z + g(x)\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "Additional vector (z): None\n", "tau = 1.0\t\tmu = 0.12375\n", "theta = 1.00\t\tniter = 200\n", "\n", " Itn x[0] f g z^x J = f + g + z^x\n", " 1 7.48278e+00 2.534e-02 8.576e-03 0.000e+00 3.391e-02\n", " 2 7.48455e+00 3.822e-03 5.657e-03 0.000e+00 9.480e-03\n", " 3 7.48640e+00 1.859e-03 4.846e-03 0.000e+00 6.705e-03\n", " 4 7.48751e+00 1.576e-03 4.484e-03 0.000e+00 6.060e-03\n", " 5 7.48810e+00 1.470e-03 4.197e-03 0.000e+00 5.667e-03\n", " 6 7.48871e+00 1.306e-03 4.144e-03 0.000e+00 5.449e-03\n", " 7 7.49000e+00 1.133e-03 4.335e-03 0.000e+00 5.468e-03\n", " 8 7.49212e+00 1.018e-03 4.411e-03 0.000e+00 5.429e-03\n", " 9 7.49455e+00 9.055e-04 4.353e-03 0.000e+00 5.258e-03\n", " 10 7.49702e+00 8.201e-04 4.175e-03 0.000e+00 4.995e-03\n", " 21 7.51420e+00 3.169e-04 3.339e-03 0.000e+00 3.656e-03\n", " 41 7.52226e+00 1.428e-04 3.241e-03 0.000e+00 3.383e-03\n", " 61 7.50948e+00 8.959e-05 2.928e-03 0.000e+00 3.018e-03\n", " 81 7.49262e+00 7.543e-05 2.756e-03 0.000e+00 2.832e-03\n", " 101 7.48146e+00 7.063e-05 2.952e-03 0.000e+00 3.022e-03\n", " 121 7.47838e+00 6.040e-05 3.035e-03 0.000e+00 3.095e-03\n", " 141 7.48181e+00 4.579e-05 3.028e-03 0.000e+00 3.074e-03\n", " 161 7.48808e+00 3.358e-05 2.933e-03 0.000e+00 2.967e-03\n", " 181 7.49384e+00 2.572e-05 2.858e-03 0.000e+00 2.884e-03\n", " 192 7.49614e+00 2.389e-05 2.841e-03 0.000e+00 2.865e-03\n", " 193 7.49631e+00 2.383e-05 2.839e-03 0.000e+00 2.863e-03\n", " 194 7.49648e+00 2.378e-05 2.838e-03 0.000e+00 2.862e-03\n", " 195 7.49665e+00 2.376e-05 2.836e-03 0.000e+00 2.860e-03\n", " 196 7.49681e+00 2.374e-05 2.834e-03 0.000e+00 2.858e-03\n", " 197 7.49696e+00 2.375e-05 2.832e-03 0.000e+00 2.856e-03\n", " 198 7.49711e+00 2.377e-05 2.830e-03 0.000e+00 2.854e-03\n", " 199 7.49725e+00 2.381e-05 2.828e-03 0.000e+00 2.851e-03\n", " 200 7.49739e+00 2.386e-05 2.825e-03 0.000e+00 2.849e-03\n", "\n", "Total time (s) = 0.13\n", "---------------------------------------------------------\n", "\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigma=0.01\n", "l1 = VStackprox([L1(sigma=sigma), L2(sigma=sigma)], [60, nt-60]) #L1(sigma=sigma)\n", "l2 = L2(Op=Lop, b=y, niter=lambda x: niter(x, 5, 0.1, 10))\n", "Dop = FirstDerivative(nt, edge=True, kind='forward')\n", "\n", "# most common approach\n", "L = 8. # np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0])\n", "tau = 1.\n", "mu = 0.99 / (tau * L)\n", "\n", "xpd_ada = PrimalDual(l2, l1, Dop, x0, tau=tau, mu=mu, niter=200, show=True)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "fig.suptitle('post-stack inversion', fontsize=14, fontweight='bold')\n", "ax.plot(t, x, 'k', lw=2, label=r'$x$')\n", "ax.plot(t, x0, 'k', lw=1, label=r'$x0$')\n", "ax.plot(t, xpd, 'b', lw=2, label=r'$x_{Primal-Dual}$')\n", "ax.plot(t, xpd_ada, 'r', lw=2, label=r'$x_{Primal-Dual}$ Ada')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Approximated proximal of convolution operator" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we use the fact that the modelling operator is a convolution to speed up the solution of the proximal operator.\n", "\n", "First we ensure that we can rewrite our modelling operator as pure convolution and use that filter as input to our fast L2Convolve" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Linearized-ADMM\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "tau = 1.000000e+00\tmu = 2.475599e-01\tniter = 1000\n", "\n", " Itn x[0] f g J = f + g\n", " 1 7.49707e+00 1.883e-02 2.467e-03 2.130e-02\n", " 2 7.49919e+00 8.626e-03 3.115e-03 1.174e-02\n", " 3 7.50121e+00 5.155e-03 3.226e-03 8.381e-03\n", " 4 7.50285e+00 3.685e-03 3.569e-03 7.254e-03\n", " 5 7.50404e+00 2.952e-03 3.738e-03 6.689e-03\n", " 6 7.50481e+00 2.527e-03 3.784e-03 6.311e-03\n", " 7 7.50522e+00 2.259e-03 3.774e-03 6.033e-03\n", " 8 7.50537e+00 2.077e-03 3.706e-03 5.784e-03\n", " 9 7.50536e+00 1.943e-03 3.645e-03 5.589e-03\n", " 10 7.50531e+00 1.836e-03 3.642e-03 5.477e-03\n", " 101 7.49348e+00 2.868e-04 3.038e-03 3.325e-03\n", " 201 7.48695e+00 1.295e-04 2.814e-03 2.944e-03\n", " 301 7.48549e+00 7.956e-05 2.747e-03 2.826e-03\n", " 401 7.48932e+00 6.839e-05 2.709e-03 2.777e-03\n", " 501 7.49089e+00 6.954e-05 2.679e-03 2.749e-03\n", " 601 7.49261e+00 7.034e-05 2.662e-03 2.732e-03\n", " 701 7.49384e+00 6.761e-05 2.651e-03 2.718e-03\n", " 801 7.49488e+00 6.629e-05 2.642e-03 2.709e-03\n", " 901 7.49583e+00 6.633e-05 2.635e-03 2.702e-03\n", " 992 7.49663e+00 6.682e-05 2.630e-03 2.697e-03\n", " 993 7.49664e+00 6.682e-05 2.630e-03 2.697e-03\n", " 994 7.49665e+00 6.683e-05 2.630e-03 2.697e-03\n", " 995 7.49666e+00 6.683e-05 2.630e-03 2.697e-03\n", " 996 7.49666e+00 6.684e-05 2.630e-03 2.697e-03\n", " 997 7.49667e+00 6.685e-05 2.630e-03 2.697e-03\n", " 998 7.49668e+00 6.685e-05 2.630e-03 2.697e-03\n", " 999 7.49669e+00 6.686e-05 2.630e-03 2.697e-03\n", " 1000 7.49670e+00 6.686e-05 2.630e-03 2.697e-03\n", "\n", "Total time (s) = 0.04\n", "---------------------------------------------------------\n", "\n", "Bregman\n", "---------------------------------------------------------\n", "Proximal operator (f): \n", "Proximal operator (g): \n", "Linear operator (A): \n", "Inner Solver: \n", "alpha = 1.000000e-01\ttolf = 1.000000e-10\ttolx = 1.000000e-10\n", "niter = 5\n", "\n", " Itn x[0] f g J = f + g\n", " 1 7.51210e+00 2.982e-03 2.094e-02 2.392e-02\n", " 2 7.49974e+00 3.810e-05 2.680e-02 2.684e-02\n", " 3 7.49933e+00 3.687e-05 2.683e-02 2.686e-02\n", " 4 7.49903e+00 3.640e-05 2.685e-02 2.689e-02\n", " 5 7.49882e+00 3.618e-05 2.687e-02 2.691e-02\n", "\n", "Total time (s) = 0.08\n", "---------------------------------------------------------\n", "\n" ] }, { "data": { "image/png": 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "derivative = np.array([0.5, 0, -0.5])\n", "h = np.convolve(derivative, wav, mode='same')\n", "\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(h, 'k')\n", "\n", "# data\n", "nfft = nt\n", "y1 = np.fft.ifft(np.fft.fft(x, nfft) * np.fft.fft(h, nfft))\n", "\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(y, 'k')\n", "plt.plot(y1, '--r')\n", "\n", "# LinearizedADMM inversion\n", "sigma=0.01\n", "l1 = VStackprox([L1(sigma=sigma), L2(sigma=sigma)], [50, nt-50]) #L1(sigma=sigma)\n", "l2 = L2Convolve(h=h, b=y, nfft=nt)\n", "Dop = FirstDerivative(nt, edge=True, kind='forward')\n", "\n", "L = np.real((Dop.H*Dop).eigs(neigs=1, which='LM')[0])\n", "tau = 1.\n", "mu = 0.99 * tau / L # optimal mu<=tau/maxeig(Dop^H Dop)\n", "xladmm, zladmm = LinearizedADMM(l2, l1, Dop, tau=tau, mu=mu, x0=x0, niter=1000, show=True)\n", "\n", "# Bregman inversion\n", "sigma=0.1\n", "l1 = VStackprox([L1(), L2()], [50, nt-50]) #L1()\n", "xb = Bregman(l2, l1, x0, LinearizedADMM, A=Dop, niterouter=5, alpha=sigma, \n", " show=True, **dict(tau=tau, mu=mu, niter=400))\n", "\n", "# recenter signal \n", "xladmm = np.pad(xladmm[:-wavc], (wavc, 0), constant_values=x0[0])\n", "xb = np.pad(xb[:-wavc], (wavc, 0), constant_values=x0[0])\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10, 3))\n", "fig.suptitle('post-stack inversion', fontsize=14, fontweight='bold')\n", "ax.plot(t, x, 'k', lw=2, label=r'$x$')\n", "ax.plot(t, x0, 'k', lw=1, label=r'$x0$')\n", "ax.plot(t, xladmm, 'b', lw=2, label=r'$x_{L-ADMM}$ Fastconv')\n", "ax.plot(t, xb, 'r', lw=2, label=r'$x_{Bregman}$ Fastconv')\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This seems to work under the following conditions:\n", "\n", "1. we need to assume that our filter has a certain phase (not centered to zero)... and then recenter things ourselves\n", "2. the model at the top and base should have same AI, otherwise the modelling artificially creates a discontinuity and a new event in the data... if not the case, we need pad the base with an artificial gradient\n", "3. we need to separate the regularization between the model part and the gradient" ] } ], "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": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "235.64337158203125px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }