{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# -*- coding: utf-8 -*-\n", "# Copyright 2024 - United Kingdom Research and Innovation\n", "# Copyright 2024 - The University of Manchester\n", "#\n", "# Licensed under the Apache License, Version 2.0 (the \"License\");\n", "# you may not use this file except in compliance with the License.\n", "# You may obtain a copy of the License at\n", "#\n", "# http://www.apache.org/licenses/LICENSE-2.0\n", "#\n", "# Unless required by applicable law or agreed to in writing, software\n", "# distributed under the License is distributed on an \"AS IS\" BASIS,\n", "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n", "# See the License for the specific language governing permissions and\n", "# limitations under the License.\n", "#\n", "# Authored by: CIL contributors " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# CIL Preconditioner and step size methods demonstration \n", "This notebook runs on CIL Master (built on 20/06/2024) and demonstrates the new callback functionality " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/bih17925/miniconda3/envs/cil_testing2/lib/python3.10/site-packages/h5py/__init__.py:36: UserWarning: h5py is running against HDF5 1.14.3 when it was built against 1.14.2, this may cause problems\n", " _warn((\"h5py is running against HDF5 {0} when it was built against {1}, \"\n" ] } ], "source": [ "from cil.utilities import dataexample\n", "from cil.utilities.display import show2D\n", "from cil.recon import FDK\n", "from cil.processors import TransmissionAbsorptionConverter, Slicer\n", "import numpy as np\n", "import matplotlib.pyplot as plt \n", "from cil.plugins.tigre import ProjectionOperator\n", "from cil.optimisation.algorithms import GD\n", "from cil.optimisation.functions import LeastSquares, L2NormSquared\n", "from cil.optimisation.operators import MatrixOperator\n", "from cil.optimisation.utilities import callbacks, StepSizeMethods, preconditioner\n", "from cil.framework import VectorData,\n", "\n", "\n", "# set up default colour map for visualisation\n", "cmap = \"gray\"\n", "\n", "# set the backend for FBP and the ProjectionOperator\n", "device = 'gpu'\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "FDK recon\n", "\n", "Input Data:\n", "\tangle: 60\n", "\thorizontal: 128\n", "\n", "Reconstruction Volume:\n", "\thorizontal_y: 128\n", "\thorizontal_x: 128\n", "\n", "Reconstruction Options:\n", "\tBackend: tigre\n", "\tFilter: ram-lak\n", "\tFilter cut-off frequency: 1.0\n", "\tFFT order: 8\n", "\tFilter_inplace: False\n", "\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "#%% Load data\n", "ground_truth = dataexample.SIMULATED_SPHERE_VOLUME.get()\n", "\n", "data = dataexample.SIMULATED_CONE_BEAM_DATA.get()\n", "twoD = True\n", "if twoD:\n", " data = data.get_slice(vertical='centre')\n", " ground_truth = ground_truth.get_slice(vertical='centre')\n", "\n", "absorption = TransmissionAbsorptionConverter()(data)\n", "absorption = Slicer(roi={'angle':(0, -1, 5)})(absorption)\n", "\n", "ig = ground_truth.geometry\n", "\n", "#%%\n", "recon = FDK(absorption, image_geometry=ig).run()\n", "#%%\n", "show2D([ground_truth, recon], title = ['Ground Truth', 'FDK Reconstruction'], origin = 'upper', num_cols = 2)\n", "\n", "# %%\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient descent with fixed step size " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "8cbdd0b17f9943b59695f4273cd8894d", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/50 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alpha=0.1\n", "A = ProjectionOperator(image_geometry=ig, \n", " acquisition_geometry=absorption.geometry)\n", "\n", "F = 0.5*LeastSquares(A = A, b = absorption)+ alpha*L2NormSquared()\n", "algo=GD(initial=ig.allocate(0), objective_function=F, step_size=1/F.L )\n", "algo.run(50)\n", "show2D([ground_truth, recon, algo.solution], title = ['Ground Truth', 'FDK Reconstruction', 'L2 regularised solution'], origin = 'upper', num_cols = 3)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Objective value')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(2,51),algo.objective[2:])\n", "plt.xlabel('Iteration')\n", "plt.ylabel('Objective value')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient descent default behaviour \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f2249c5cc29446789f297a5d154a5928", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/50 [00:00 7\u001b[0m \u001b[43malgo_default\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m50\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 8\u001b[0m show2D([ground_truth, recon, algo_default\u001b[38;5;241m.\u001b[39msolution], title \u001b[38;5;241m=\u001b[39m [\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mGround Truth\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mFDK Reconstruction\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mTik solution\u001b[39m\u001b[38;5;124m'\u001b[39m], origin \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mupper\u001b[39m\u001b[38;5;124m'\u001b[39m, num_cols \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m3\u001b[39m)\n", "File \u001b[0;32m~/miniconda3/envs/cil_testing2/lib/python3.10/site-packages/cil/optimisation/algorithms/Algorithm.py:240\u001b[0m, in \u001b[0;36mAlgorithm.run\u001b[0;34m(self, iterations, callbacks, verbose, **kwargs)\u001b[0m\n\u001b[1;32m 238\u001b[0m \u001b[38;5;66;03m# call `__next__` upto `iterations` times or until `StopIteration` is raised\u001b[39;00m\n\u001b[1;32m 239\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmax_iteration \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39miteration \u001b[38;5;241m+\u001b[39m iterations\n\u001b[0;32m--> 240\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m _ \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mzip\u001b[39m(\u001b[38;5;28mrange\u001b[39m(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39miteration, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39miteration \u001b[38;5;241m+\u001b[39m iterations), \u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m 241\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[1;32m 242\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m callback \u001b[38;5;129;01min\u001b[39;00m callbacks:\n", "File \u001b[0;32m~/miniconda3/envs/cil_testing2/lib/python3.10/site-packages/cil/optimisation/algorithms/Algorithm.py:108\u001b[0m, in \u001b[0;36mAlgorithm.__next__\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 106\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mconfigured:\n\u001b[1;32m 107\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mAlgorithm not configured correctly. Please run set_up.\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m--> 108\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mupdate\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 109\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39miteration \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;241m1\u001b[39m\n\u001b[1;32m 111\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_update_previous_solution()\n", "File \u001b[0;32m~/miniconda3/envs/cil_testing2/lib/python3.10/site-packages/cil/optimisation/algorithms/GD.py:115\u001b[0m, in \u001b[0;36mGD.update\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 111\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mpreconditioner \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 112\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mpreconditioner\u001b[38;5;241m.\u001b[39mapply(\n\u001b[1;32m 113\u001b[0m \u001b[38;5;28mself\u001b[39m, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mgradient_update, out\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mgradient_update)\n\u001b[0;32m--> 115\u001b[0m step_size \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mstep_size_rule\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mget_step_size\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 117\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mx\u001b[38;5;241m.\u001b[39msapyb(\u001b[38;5;241m1.0\u001b[39m, \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mgradient_update, \u001b[38;5;241m-\u001b[39mstep_size, out\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mx)\n", "File \u001b[0;32m~/miniconda3/envs/cil_testing2/lib/python3.10/site-packages/cil/optimisation/utilities/StepSizeMethods.py:138\u001b[0m, in \u001b[0;36mArmijoStepSizeRule.get_step_size\u001b[0;34m(self, algorithm)\u001b[0m\n\u001b[1;32m 135\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39malpha \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mbeta\n\u001b[1;32m 137\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m k \u001b[38;5;241m==\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmax_iterations:\n\u001b[0;32m--> 138\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[1;32m 139\u001b[0m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mCould not find a proper step_size in \u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m loops. Consider increasing alpha or max_iterations.\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;241m.\u001b[39mformat(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mmax_iterations))\n\u001b[1;32m 140\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39malpha\n", "\u001b[0;31mValueError\u001b[0m: Could not find a proper step_size in 40.0 loops. Consider increasing alpha or max_iterations." ] } ], "source": [ "alpha=0.1\n", "A = ProjectionOperator(image_geometry=ig, \n", " acquisition_geometry=absorption.geometry)\n", "\n", "F = 0.5*LeastSquares(A = A, b = absorption)+ alpha*L2NormSquared()\n", "algo_default=GD(initial=ig.allocate(0), objective_function=F )\n", "algo_default.run(50)\n", "show2D([ground_truth, recon, algo_default.solution], title = ['Ground Truth', 'FDK Reconstruction', 'Tik solution'], origin = 'upper', num_cols = 3)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This does not work because in 40 iterations, the Armijio step size rule as not found a suitable step size. We can alter the number of iterations in the step size rule to allow it to run without error: " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f6aa7066c1ed40878521cb5cbf8ab9e5", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/50 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "alpha=0.1\n", "A = ProjectionOperator(image_geometry=ig, \n", " acquisition_geometry=absorption.geometry)\n", "\n", "F = 0.5*LeastSquares(A = A, b = absorption)+ alpha*L2NormSquared()\n", "algo_armijio=GD(initial=ig.allocate(0), objective_function=F, step_size=StepSizeMethods.ArmijoStepSizeRule(max_iterations=50))\n", "algo_armijio.run(50)\n", "show2D([ground_truth, recon, algo_armijio.solution], title = ['Ground Truth', 'FDK Reconstruction', 'Tik solution'], origin = 'upper', num_cols = 3)\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Objective value')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(2,51),algo.objective[2:], label='step_size=1/F.L')\n", "plt.plot(range(2,51),algo_armijio.objective[2:], label='Armijio rule')\n", "\n", "plt.xlabel('Iteration')\n", "plt.ylabel('Objective value')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient descent custom step size rule " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "46274dd94a3c4d129ec70931010be41d", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/50 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "class shrinking_step_size(StepSizeMethods.StepSizeRule):\n", " def __init__(self, initial=0.1, shrinkage=0.999):\n", " self.shrinkage=shrinkage\n", " self.initial=initial\n", " \n", " def get_step_size(self, algorithm):\n", " return self.initial*self.shrinkage**algorithm.iteration\n", " \n", "alpha=0.1\n", "A = ProjectionOperator(image_geometry=ig, \n", " acquisition_geometry=absorption.geometry)\n", "\n", "F = 0.5*LeastSquares(A = A, b = absorption)+ alpha*L2NormSquared()\n", "algo_custom=GD(initial=ig.allocate(0), objective_function=F, step_size=shrinking_step_size(initial=1/F.L) )\n", "algo_custom.run(50)\n", "show2D([ground_truth, recon, algo_custom.solution], title = ['Ground Truth', 'FDK Reconstruction', 'Tik solution'], origin = 'upper', num_cols = 3)\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(2,51),algo.objective[2:], label='step_size=1/f.L')\n", "plt.plot(range(2,51),algo_armijio.objective[2:], label='Armijio rule')\n", "plt.plot(range(2,51),algo_custom.objective[2:], label='custom rule')\n", "plt.xlabel('Iteration')\n", "plt.ylabel('Objective value')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Preconditioners " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consider $b=(0,0)^T$, $A=\\begin{pmatrix}\n", "1 & 0.3 \\\\\n", "0 & 0.1 \n", "\\end{pmatrix}$ , we can visualise the minimisation problem to find $x^*$ such that $Ax^*=y$.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def f(x,y):\n", " return np.linalg.norm(np.matmul(np.array([[1,0.3],[0, 0.1]]), np.array([x,y]))-np.array([0,0]))\n", " " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y1')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.figure()\n", "\n", "x_ = np.linspace(-0.5, 0.5, num=200)\n", "y_ = np.linspace(-0.5, 0.5, num=200)\n", "x,y = np.meshgrid(x_, y_)\n", "\n", "levels = np.zeros((200,200))\n", "for i in range(200):\n", " for j in range(200):\n", " levels[i,j]=f(x_[i],y_[j])\n", "\n", "c = plt.contour(x, y, levels, 10)\n", "plt.colorbar()\n", "plt.xlabel('x1')\n", "plt.ylabel('y1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We precondition by the sensitivity of the matrix $A$ given by a vector $1/(A^T \\mathbf{1})$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "precon=preconditioner.Sensitivity(operator=MatrixOperator(np.array([[1,0.3],[0.01, 0.1]])))\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y1')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x,y):\n", " return np.linalg.norm(precon.array.as_array()*(np.matmul(np.array([[1,0.3],[0.01, 0.1]]), np.array([x,y]))-np.array([0,0])))\n", "plt.figure()\n", "\n", "x_ = np.linspace(-0.5, 0.5, num=200)\n", "y_ = np.linspace(-0.5, 0.5, num=200)\n", "x,y = np.meshgrid(x_, y_)\n", "\n", "levels = np.zeros((200,200))\n", "for i in range(200):\n", " for j in range(200):\n", " levels[i,j]=f(x_[i],y_[j])\n", "\n", "c = plt.contour(x, y, levels, 10)\n", "plt.colorbar()\n", "plt.xlabel('x1')\n", "plt.ylabel('y1')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e4c469b87e4243f196af4f3512639ffe", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/300 [00:00" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(2,301),algo.objective[2:], label='Armijio')\n", "plt.plot(range(2,301),algo_precon.objective[2:], label='preconditioner and Armijio rule')\n", "plt.xlabel('Iteration')\n", "plt.ylabel('Objective value')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using a callback, we can see the progress of the algorithm and we see that the initial steps of the preconditioned algorithm get is much closer than in the unconditioned case. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "class save_solutions(callbacks.Callback):\n", " def __init__(self):\n", " self.solutions=[np.array([0.,1.])]\n", " \n", " def __call__(self, algorithm):\n", " self.solutions.append(algorithm.solution.as_array().copy())\n", " \n", "callback_no_precon=save_solutions()\n", "algo=GD(initial=VectorData(np.array([0.,1.])), objective_function=F, step_size=1/F.L)\n", "algo.run(300,callbacks=[callback_no_precon])\n", "\n", "\n", "callback_precon=save_solutions()\n", "algo_precon=GD(initial=VectorData(np.array([0.,1.])), objective_function=F, preconditioner=preconditioner.Sensitivity(operator=A), step_size=1/F.L)\n", "algo.run(300,callbacks=[callback_precon])\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x,y):\n", " return np.linalg.norm(np.matmul(np.array([[1,0.3],[0, 0.1]]), np.array([x,y]))-np.array([0,0]))\n", "\n", "plt.figure()\n", "\n", "x_ = np.linspace(-1, 1, num=200)\n", "y_ = np.linspace(-1, 1, num=200)\n", "x,y = np.meshgrid(x_, y_)\n", "\n", "levels = np.zeros((200,200))\n", "for i in range(200):\n", " for j in range(200):\n", " levels[i,j]=f(x_[i],y_[j])\n", "\n", "c = plt.contour(x, y, levels, 10)\n", "plt.colorbar()\n", "plt.xlabel('x1')\n", "plt.ylabel('y1')\n", "\n", "\n", "\n", "plt.plot(np.array(callback_no_precon.solutions)[::5,1], np.array(callback_no_precon.solutions)[::5,0], label='Not preconditioned')\n", "plt.plot(np.array(callback_precon.solutions)[::5,1], np.array(callback_precon.solutions)[::5,0], label='Preconditioned')\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "#TODO: Can we go on to explain this in terms of length of rays in the CT case?? What does preconditioned by sensitivity mean for CT? " ] } ], "metadata": { "kernelspec": { "display_name": "cil_testing2", "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 2 }