{
 "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.Matrix(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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      ],
      "text/plain": [
       "<Figure size 600x350 with 2 Axes>"
      ]
     },
     "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": [
    {
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      ],
      "text/plain": [
       "<Figure size 600x350 with 4 Axes>"
      ]
     },
     "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": [
    {
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      "text/plain": [
       "<Figure size 600x350 with 4 Axes>"
      ]
     },
     "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": [
      "<Normal with shape=(15, 15), dtype=float64>\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",
    "rng = np.random.default_rng(seed=42)\n",
    "mat = probnum.problems.zoo.linalg.random_spd_matrix(rng=rng, dim=n)\n",
    "\n",
    "opmean = linops.Matrix(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(rng=rng, size=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
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       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 1000x500 with 4 Axes>"
      ]
     },
     "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[0],\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": []
  }
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