{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Linear Operators\n", "\n", "Finite dimensional linear operators allow matrix algebra without explicitly constructing a full matrix representation. Instead it suffices to define a matrix-vector product and a shape attribute. This avoids unnecessary memory usage and can often be more convenient to derive." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Make inline plots vector graphics instead of raster graphics\n", "%matplotlib inline\n", "from IPython.display import set_matplotlib_formats\n", "\n", "set_matplotlib_formats(\"pdf\", \"svg\")\n", "\n", "# Plotting\n", "import matplotlib.pyplot as plt\n", "\n", "plt.style.use(\"../../probnum.mplstyle\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sparsity and Operator Arithmetic\n", "\n", "We begin by sampling a random sparse matrix, represent it as a `LinearOperator` and perform some simple arithmetic." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import scipy.sparse\n", "from probnum import linops\n", "\n", "# Linear operator from sparse matrix\n", "n = 50\n", "mat = scipy.sparse.rand(m=n, n=n, density=0.05, random_state=42)\n", "A = linops.MatrixMult(A=mat)\n", "\n", "# Linear operator arithmetic\n", "Id = linops.Identity(shape=n)\n", "B = A + 1.5 * Id" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "application/pdf": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot\n", "matdict = {\"$A$\": A.todense(), \"$B$\": B.todense()}\n", "vmin = np.min([np.min(mat) for mat in list(matdict.values())])\n", "vmax = np.max([np.max(mat) for mat in list(matdict.values())])\n", "\n", "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(6, 3.5))\n", "for i, (title, mat) in enumerate(matdict.items()):\n", " axes[i].imshow(mat, vmin=vmin, vmax=vmax)\n", " axes[i].set_axis_off()\n", " axes[i].title.set_text(title)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Kronecker Product\n", "\n", "A frequently occuring linear operator is the *Kronecker product* of two matrices. Example application areas are matrix-variate distributions, signal processing, image processing, semi-definite programming and deep learning. We will illustrate some basic properties here." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Kronecker Product\n", "A = np.array([[4, 1, 4], [2, 3, 2]])\n", "B = np.array([[1], [4]])\n", "W = linops.Kronecker(A, B)\n", "V = linops.Kronecker(B, A)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot\n", "matdict = {\n", " \"$A$\": A,\n", " \"$B$\": B,\n", " \"$A \\otimes B$\": W.todense(),\n", " \"$B \\otimes A$\": V.todense(),\n", "}\n", "vmin = np.min([np.min(mat) for mat in list(matdict.values())])\n", "vmax = np.max([np.max(mat) for mat in list(matdict.values())])\n", "\n", "fig, axes = plt.subplots(\n", " nrows=1, ncols=4, figsize=(6, 3.5), gridspec_kw={\"width_ratios\": [3, 1, 3, 3]}\n", ")\n", "for i, (title, mat) in enumerate(matdict.items()):\n", " axes[i].imshow(mat, vmin=vmin, vmax=vmax)\n", " axes[i].set_axis_off()\n", " axes[i].title.set_text(title)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The elements of the Kronecker product $A \\otimes B$ consist of all possible products of an entry of $B \\in \\mathbb{R}^{m_2 \\times n_2}$ with an entry of $A \\in \\mathbb{R}^{m_1 \\times n_1}$. If this was represented as a full matrix instead of a linear operator, one would have to store and multiply with a matrix of dimensions $m_1m_2 \\times n_1n_2$. However, by just defining the matrix-vector product instead, it suffices to store the matrices $A$ and $B$.\n", "\n", "A useful relative of the Kronecker product is the *symmetric Kronecker product*. As we will see later it can be used to define a distribution over symmetric matrices." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Symmetric Kronecker Product\n", "C = np.array([[5, 1], [2, 10]])\n", "D = np.array([[1, 2], [3, 4]])\n", "Ws = linops.SymmetricKronecker(C, D)\n", "Vs = linops.SymmetricKronecker(D, C)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot\n", "matdict = {\n", " \"$C$\": C,\n", " \"$D$\": D,\n", " \"$C \\otimes_s D$\": Ws.todense(),\n", " \"$D \\otimes_s C$\": Vs.todense(),\n", "}\n", "vmin = np.min([np.min(mat) for mat in list(matdict.values())])\n", "vmax = np.max([np.max(mat) for mat in list(matdict.values())])\n", "\n", "fig, axes = plt.subplots(\n", " nrows=1, ncols=4, figsize=(6, 3.5), gridspec_kw={\"width_ratios\": [2, 2, 3, 3]}\n", ")\n", "for i, (title, mat) in enumerate(matdict.items()):\n", " axes[i].imshow(mat, vmin=vmin, vmax=vmax)\n", " axes[i].set_axis_off()\n", " axes[i].title.set_text(title)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, that the symmetric Kronecker product generally does *not* have a *symmetric* matrix representation. If its arguments are symmetric, then so is their product. We also observe another property of the symmetric Kronecker product, namely that $C \\otimes_s D = D \\otimes_s C$. This is not the case for the Kronecker product as we saw above." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Operators and Random Variables\n", "\n", "When defining distributions over $m \\times n$ matrices, the covariance has dimension $(mn)^2$, which quickly becomes prohibitively large. This can be somewhat remedied by using linear operators as parameters, since for most computations with matrix-variate random variables the full covariance matrix never needs to be formed explicitly. An example is the matrix-variate normal distribution, where one often assumes Kronecker-structured covariances. One can use the symmetric Kronecker product in this context to define a distribution over symmetric matrices." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "import scipy.sparse\n", "from probnum import randvars\n", "\n", "import probnum.problems.zoo.linalg\n", "\n", "# Linear operators as random variable parameters\n", "n = 15\n", "mat = probnum.problems.zoo.linalg.random_spd_matrix(dim=n, random_state=0)\n", "\n", "opmean = linops.MatrixMult(A=mat)\n", "opcov = linops.SymmetricKronecker(2 * linops.Identity(n))\n", "\n", "Y = randvars.Normal(mean=opmean, cov=opcov)\n", "print(Y)\n", "\n", "# Draw samples\n", "Ysamples = Y.sample(3)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot\n", "rvdict = {\n", " \"$\\mathbb{E}(\\mathsf{Y})$\": Y.mean.todense(),\n", " \"$\\mathsf{Y}_1$\": Ysamples[2],\n", " \"$\\mathsf{Y}_2$\": Ysamples[1],\n", " \"$\\mathsf{Y}_3$\": Ysamples[2],\n", "}\n", "vmin = np.min([np.min(mat) for mat in list(rvdict.values())])\n", "vmax = np.max([np.max(mat) for mat in list(rvdict.values())])\n", "\n", "fig, axes = plt.subplots(nrows=1, ncols=4, figsize=(10, 5), sharey=True)\n", "for i, (title, rv) in enumerate(rvdict.items()):\n", " axes[i].imshow(rv, vmin=vmin, vmax=vmax)\n", " axes[i].set_axis_off()\n", " axes[i].title.set_text(title)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }