{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "8f30536d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Requirement already satisfied: numpy in /venvs/tutorial/lib/python3.10/site-packages (1.23.2)\n", "Requirement already satisfied: scipy in /venvs/tutorial/lib/python3.10/site-packages (1.9.1)\n", "Requirement already satisfied: matplotlib in /venvs/tutorial/lib/python3.10/site-packages (3.5.3)\n", "Requirement already satisfied: cycler>=0.10 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (0.11.0)\n", "Requirement already satisfied: pillow>=6.2.0 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (9.2.0)\n", "Requirement already satisfied: kiwisolver>=1.0.1 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (1.4.4)\n", "Requirement already satisfied: pyparsing>=2.2.1 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (3.0.9)\n", "Requirement already satisfied: python-dateutil>=2.7 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (2.8.2)\n", "Requirement already satisfied: packaging>=20.0 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (21.3)\n", "Requirement already satisfied: fonttools>=4.22.0 in /venvs/tutorial/lib/python3.10/site-packages (from matplotlib) (4.37.1)\n", "Requirement already satisfied: six>=1.5 in /venvs/tutorial/lib/python3.10/site-packages (from python-dateutil>=2.7->matplotlib) (1.16.0)\n" ] } ], "source": [ "!python -m pip install numpy scipy matplotlib" ] }, { "cell_type": "code", "execution_count": 2, "id": "01743345", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.sparse import csc_matrix\n", "from scipy.optimize import linprog, milp, Bounds, LinearConstraint" ] }, { "cell_type": "markdown", "id": "874361fb", "metadata": {}, "source": [ "# Background\n", "\n", "See the `scipy.optimize.linprog`-based tutorial `compressed_sensing_milp_tutorial_1.ipynb` for more Compressed Sensing background. " ] }, { "cell_type": "markdown", "id": "7501d783", "metadata": {}, "source": [ "# Integer Linear Programming Solution\n", "\n", "Compressed Sensing problems can be solved using SciPy's `optimize.milp` solver. We will follow the solution strategy in [Karahanoglu et al](https://ieeexplore.ieee.org/document/6638790). The strategy in this paper does not relax the problem to the $\\ell_1$ form, but directly solves the $\\ell_0$ NP-hard optimization problem.\n", "\n", "For this MILP problem, we will solve a slightly easier CS problem due to the amount of time it takes any solver to chew through an NP-hard problem. The authors waited 100 seconds for their small toy problems, but we will make a few simplificiations that will allow the HiGHS solver to run very quickly.\n", "\n", "The signal $x$ this time around will be a $k$-sparse binary signal (i.e., exactly $k$ ones, all other entries are zero). The sensing matrix $A$ will be Gaussian distributed as before." ] }, { "cell_type": "code", "execution_count": 3, "id": "29cb1cbb", "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2, ax3) = plt.subplots(1, 3)\n", "\n", "k, M, N = 25, 100, 256\n", "cl, cu = 0, 1 # lower/upper bounds of signal, x\n", "\n", "# generate a random measurement matrix (normal) that satisfied the RIP\n", "A = np.random.normal(loc=0, scale=1/N, size=(M, N))\n", "\n", "ax1.imshow(A)\n", "ax1.set_title(\"Sensing matrix, $A$\")\n", "ax1.set_xticks([])\n", "ax1.set_yticks([])\n", "\n", "# k-sparse binary-valued signal, x\n", "x = np.random.permutation([1.0]*k + [0.0]*(N-k))\n", "\n", "ax2.stem(x)\n", "ax2.set_title(\"Signal to reconstruct, $x$\")\n", "ax2.set_xticks([])\n", "\n", "# simulate measurement according to A\n", "b = A @ x\n", "\n", "ax3.plot(b)\n", "ax3.set_title(\"Measured signal, $b$\")\n", "ax3.set_xticks([])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c4c358c3", "metadata": {}, "source": [ "This MILP strategy breaks the problem into two parts:\n", "1. find the indices of the nonzero components of $x_i$\n", "2. estimate the values $\\hat{x}_i$ at those indices\n", "\n", "To solve the first subproblem, we create binary decision variables $t_i$ such that $t_i = 1$ if $x_i$ is non-zero and, conversely, $t_i = 0$ if $x_i$ is zero.\n", "\n", "We can recall the definition of the $\\ell_0$ psuedo-norm:\n", "\n", "$$ || x ||_0 = \\sum_i x_i^0 = \\sum_i (x_i \\ne 0)$$\n", "\n", "With our definition of $t_i$ and letting $z = [x, t]$, we get the equivalent cost coefficients, `c`:\n", "\n", "$$ c z = 1^T t $$\n", "\n", "and zeros assumed for all other coefficients." ] }, { "cell_type": "code", "execution_count": 4, "id": "41b314ef", "metadata": {}, "outputs": [], "source": [ "c = [0]*N + [1]*N" ] }, { "cell_type": "markdown", "id": "e748d341", "metadata": {}, "source": [ "Let's also not forget to inform the solver of the type and bounds of the decision variables. All $t_i$ are binary (integer with lowerbound 0, upperbound 1) and $x_t$ are assumed continuous for generality (even though they are binary in this example). We can add bounds to $x_t$ to assist the solver in reducing the feasible search space:\n", "\n", "$$ t_i \\in \\{0, 1\\} $$\n", "$$ c_l \\leq x_i \\leq c_u $$\n", "\n", "$c_l$ and $c_u$ are chosen such that all $x_t \\in [c_l, c_u]$. While it's an interesting problem to determine what these parameters should be, we'll leave these as empirically chosen in general and select $[0, 1]$ here because we know that $x_t$ is binary. Incorrect choices may make the problem infeasible (if too narrow an interval) or reduce the utility of search space reduction (too wide an interval)." ] }, { "cell_type": "code", "execution_count": 5, "id": "18540e36", "metadata": {}, "outputs": [], "source": [ "# 0 -> continuous, 1 -> integer-valued\n", "integrality = [0]*N + [1]*N\n", "bounds = Bounds(lb=[cl]*N + [0]*N, ub=[cu]*N + [1]*N)" ] }, { "cell_type": "markdown", "id": "0b78916f", "metadata": {}, "source": [ "With a suitable cost function and restrictions on $t_i$, the first subproblem is nearly solved. We need one more set of constraints to ensure that nonzero elements of $x$ can only appear at the locations marked by $t$. We can do that by introducing the inequalities:\n", "\n", "$$ c_l t_i \\leq x_i \\leq c_u t_i $$\n", "\n", "Grouping the decision variables, we get:\n", "\n", "$$ x_i - c_u t_i \\leq 0 $$\n", "$$ -x_i + c_l t_i \\leq 0 $$\n", "\n", "or in equivalent matrix form:\n", "\n", "$$\n", "A_{\\text{ub}} z =\n", "\\begin{bmatrix}\n", "I & -c_uI \\\\\n", "-I & Ic_l\n", "\\end{bmatrix}\n", "\\begin{bmatrix}\n", "x \\\\\n", "t\n", "\\end{bmatrix}\n", "\\leq 0 = b_{\\text{ub}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 6, "id": "7e4af7ad", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "A_ub = np.hstack((np.eye(N), np.eye(N)*-cu))\n", "A_ub = np.vstack((A_ub, np.hstack((np.eye(N)*-1, np.eye(N)*cl))))\n", "A_ub = np.vstack((A_ub, [0.0]*N + [1.0]*N))\n", "b_ub = [0.0]*(2*N) + [0.5*M]\n", "\n", "plt.imshow(A_ub)\n", "plt.title(\"Upper bound constraints, A_ub\")\n", "plt.xticks([])\n", "plt.yticks([])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a290a960", "metadata": {}, "source": [ "The second subproblem can be solved by adding the data fidelity constraints the same way we did in the linear programming example:\n", "\n", "$$\n", "A_{\\text{ub}} z =\n", "\\begin{bmatrix}\n", "A & 0\n", "\\end{bmatrix}\n", "\\begin{bmatrix}\n", "x \\\\\n", "t\n", "\\end{bmatrix}\n", "= b = b_{\\text{ub}}\n", "$$\n", "\n", "The only difference this time is that we use the `scipy.optimize.LinearConstraint` objects instead of the `A_eq` matrix:" ] }, { "cell_type": "code", "execution_count": 7, "id": "bd7b7f7b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/venvs/tutorial/lib/python3.10/site-packages/scipy/sparse/_index.py:146: SparseEfficiencyWarning: Changing the sparsity structure of a csc_matrix is expensive. lil_matrix is more efficient.\n", " self._set_arrayXarray(i, j, x)\n" ] } ], "source": [ "A_eq = csc_matrix((M, 2*N))\n", "A_eq[:, :N] = A\n", "b_eq = b\n", "\n", "constraints = [\n", " LinearConstraint(A=A_ub, lb=-np.inf, ub=b_ub),\n", " LinearConstraint(A=A_eq, lb=b_eq, ub=b_eq),\n", "]" ] }, { "cell_type": "markdown", "id": "bf02d673", "metadata": {}, "source": [ "The paper suggests we add one more additional constraint that sets an upper limit on the sparsity of the recovered signal. This means we want to tell the solver that we expect the number of non-zero coefficients to be less than some number. This will hopefuly assist the solver in reducing the feasible solution space and getting to a solution faster. The additional sparsity constraint is parametrized with $r \\in (0, 1]$:\n", "\n", "$$ || x ||_0 \\leq rM $$\n", "\n", "For many practical applications, $k$ (the $k$ in $k$-sparse) is not known a priori, however $k \\ll M$ is generally a good assumption. Choosing $r = 0.5$ is a good trade-off here and can be adjusted based on particular problems:" ] }, { "cell_type": "code", "execution_count": 8, "id": "ac037135", "metadata": {}, "outputs": [], "source": [ "r = 0.5\n", "A_ub = [0]*N + [1]*N\n", "b_ub = r*M\n", "constraints.append(\n", " LinearConstraint(A=A_ub, lb=-np.inf, ub=b_ub)\n", ")" ] }, { "cell_type": "markdown", "id": "fd8e65d2", "metadata": {}, "source": [ "With that, we are ready to solve!" ] }, { "cell_type": "code", "execution_count": 9, "id": "453cffe9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running HiGHS 1.2.2 [date: 2022-08-26, git hash: n/a]\n", "Copyright (c) 2022 ERGO-Code under MIT licence terms\n", "Presolving model\n", "358 rows, 512 cols, 26624 nonzeros\n", "357 rows, 512 cols, 26209 nonzeros\n", "Objective function is integral with scale 1\n", "\n", "Solving MIP model with:\n", " 357 rows\n", " 512 cols (256 binary, 0 integer, 0 implied int., 256 continuous)\n", " 26209 nonzeros\n", "\n", " Nodes | B&B Tree | Objective Bounds | Dynamic Constraints | Work \n", " Proc. InQueue | Leaves Expl. | BestBound BestSol Gap | Cuts InLp Confl. | LpIters Time\n", "\n", " 0 0 0 0.00% 0 inf inf 0 0 0 0 0.1s\n", " T 0 0 0 0.00% 0 25 100.00% 0 0 0 442 0.2s\n", "\n", "Solving report\n", " Status Optimal\n", " Primal bound 25\n", " Dual bound 25\n", " Gap 0% (tolerance: 0.01%)\n", " Solution status feasible\n", " 25 (objective)\n", " 0 (bound viol.)\n", " 2.31600360963e-13 (int. viol.)\n", " 0 (row viol.)\n", " Timing 0.18 (total)\n", " 0.14 (presolve)\n", " 0.00 (postsolve)\n", " Nodes 1\n", " LP iterations 442 (total)\n", " 0 (strong br.)\n", " 0 (separation)\n", " 0 (heuristics)\n", "WARNING: Method getModelStatus(const bool scaled_model) is deprecated: alternative method is getModelStatus()\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res = milp(c=c, integrality=integrality, bounds=bounds, constraints=constraints, options={\"disp\": True})\n", "x_hat = res[\"x\"][:N]\n", "\n", "plt.plot(x, label=\"x\")\n", "plt.plot(x_hat, \":\", label=\"$\\hat{x}$\")\n", "plt.title(\"MILP CS Reconstruction\")\n", "plt.legend()\n", "plt.xticks([])\n", "plt.show()\n", "\n", "plt.plot(x - x_hat)\n", "plt.title(\"$Error, x - \\hat{x}$\")\n", "plt.xticks([])\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 5 }