{ "cells": [ { "cell_type": "markdown", "id": "0971dfc0", "metadata": {}, "source": [ "# Transport Map from density\n", "\n", "The objective of this example is to show how a transport map can be build in MParT when the the unnormalized probability density function of the target density is known." ] }, { "cell_type": "markdown", "id": "fdf76ce3", "metadata": {}, "source": [ "## Problem description\n", "\n", "We consider $T(\\mathbf{z};\\mathbf{w})$ a monotone triangular transport map parameterized by $\\mathbf{w}$ (e.g., polynomial coefficients). This map which is invertible and has an invertible Jacobian for any parameter $\\mathbf{w}$, transports samples $\\mathbf{z}^i$ from the reference density $\\eta$ to samples $T(\\mathbf{z}^i;\\mathbf{w})$ from the map induced density $\\tilde{\\pi}_\\mathbf{w}(\\mathbf{z})$ defined as:\n", "$$ \\tilde{\\pi}_\\mathbf{w}(\\mathbf{z}) = \\eta(T^{-1}(\\mathbf{z};\\mathbf{w}))|\\text{det } T^{-1}(\\mathbf{z};\\mathbf{w})|,$$\n", "where $\\text{det } T^{-1}$ is the determinant of the inverse map Jacobian at the point $\\mathbf{z}$. We refer to $\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x})$ as the *map-induced* density or *pushforward distribution* and will commonly interchange notation for densities and measures to use the notation $\\tilde{\\pi} = T_{\\sharp} \\eta$.\n", "\n", "The objective of this example is, knowing some unnormalized target density $\\bar{\\pi}$, find the map $T$ that transport samples drawn from $\\eta$ to samples drawn from the target $\\pi$." ] }, { "cell_type": "markdown", "id": "e2352666", "metadata": {}, "source": [ "## Imports\n", "First, import MParT and other packages used in this notebook. Note that it is possible to specify the number of threads used by MParT by setting the `KOKKOS_NUM_THREADS` environment variable **before** importing MParT." ] }, { "cell_type": "code", "execution_count": 1, "id": "b4aed9b2", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:16.638987Z", "iopub.status.busy": "2024-03-21T17:44:16.638821Z", "iopub.status.idle": "2024-03-21T17:44:18.507461Z", "shell.execute_reply": "2024-03-21T17:44:18.506931Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Kokkos::OpenMP::initialize WARNING: You are likely oversubscribing your CPU cores.\n", " process threads available : 4, requested thread : 8\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Kokkos::OpenMP::initialize WARNING: You are likely oversubscribing your CPU cores.\n", " Detected: 4 cores per node.\n", " Detected: 1 MPI_ranks per node.\n", " Requested: 8 threads per process.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Kokkos is using 8 threads\n" ] } ], "source": [ "import numpy as np\n", "from scipy.optimize import minimize\n", "import matplotlib.pyplot as plt\n", "from scipy.stats import multivariate_normal\n", "\n", "import os\n", "os.environ['KOKKOS_NUM_THREADS'] = '8'\n", "\n", "import mpart as mt\n", "print('Kokkos is using', mt.Concurrency(), 'threads')\n", "plt.rcParams['figure.dpi'] = 110" ] }, { "cell_type": "markdown", "id": "c49bb5b9", "metadata": {}, "source": [ "## Target density and exact map\n", "\n", "In this example we use a 2D target density known as the *banana* density where the unnormalized probability density, samples and the exact transport map are known.\n", "\n", "The banana density is defined as:\n", "$$\n", "\\pi(x_1,x_2) \\propto N_1(x_1)\\times N_1(x_2-x_1^2)\n", "$$\n", "where $N_1$ is the 1D standard normal density.\n", "\n", "The exact transport map that transport the 2D standard normal density to $\\pi$ is known as:\n", "$$\n", " {T}^\\text{true}(z_1,z_2)=\n", " \\begin{bmatrix}\n", "z_1\\\\\n", "z_2 + z_1^2\n", "\\end{bmatrix}\n", "$$" ] }, { "cell_type": "markdown", "id": "1b3d7fa0", "metadata": {}, "source": [ "Contours of the target density can be visualized as:" ] }, { "cell_type": "code", "execution_count": 2, "id": "627065a5", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.510230Z", "iopub.status.busy": "2024-03-21T17:44:18.509758Z", "iopub.status.idle": "2024-03-21T17:44:18.676575Z", "shell.execute_reply": "2024-03-21T17:44:18.676031Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Unnomalized target density required for objective\n", "def target_logpdf(x): \n", " rv1 = multivariate_normal(np.zeros(1),np.eye(1))\n", " rv2 = multivariate_normal(np.zeros(1),np.eye(1))\n", " logpdf1 = rv1.logpdf(x[0])\n", " logpdf2 = rv2.logpdf(x[1]-x[0]**2)\n", " logpdf = logpdf1 + logpdf2\n", " return logpdf\n", "\n", "# Grid for plotting\n", "ngrid=100\n", "x1_t = np.linspace(-3,3,ngrid)\n", "x2_t = np.linspace(-3,7.5,ngrid)\n", "xx1,xx2 = np.meshgrid(x1_t,x2_t)\n", "\n", "xx = np.vstack((xx1.reshape(1,-1),xx2.reshape(1,-1)))\n", "\n", "# Target contours\n", "target_pdf_at_grid = np.exp(target_logpdf(xx))\n", "\n", "fig, ax = plt.subplots()\n", "CS1 = ax.contour(xx1, xx2, target_pdf_at_grid.reshape(ngrid,ngrid))\n", "ax.set_xlabel(r'$x_1$')\n", "ax.set_ylabel(r'$x_2$')\n", "h1,_ = CS1.legend_elements()\n", "legend1 = ax.legend([h1[0]], ['target density'])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d336e19c", "metadata": {}, "source": [ "## Map training\n", "### Defining objective function and its gradient\n", "Knowing the closed form of the unnormalized target density $\\bar{\\pi}$, the objective is to find a map-induced density $\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{z})$ that is a good approximation of the target $\\pi$.\n", "\n", "In order to characterize this posterior density, one method is to build a monotone triangular transport map $T$ such that the KL divergence $D_{KL}(\\eta || T^\\sharp \\pi)$ is minmized. If $T$ is map parameterized by $\\mathbf{w}$, the objective function derived from the discrete KL divergence reads:\n", "\n", "$$\n", "J(\\mathbf{w}) = - \\frac{1}{N}\\sum_{i=1}^N \\left( \\log\\pi\\left(T(\\mathbf{z}^i;\\mathbf{w})\\right) + \\log \\text{det }\\nabla_\\mathbf{z} T(\\mathbf{z}^i;\\mathbf{w})\\right), \\,\\,\\, \\mathbf{z}^i \\sim \\mathcal{N}(\\mathbf{0},\\mathbf{I}_d),\n", "$$\n", "\n", "where $T$ is the transport map pushing forward the standard normal $\\mathcal{N}(\\mathbf{0},\\mathbf{I}_d)$ to the target density $\\pi(\\mathbf{z})$. The gradient of this objective function reads\n", "\n", "$$\n", "\\nabla_\\mathbf{w} J(\\mathbf{w}) = - \\frac{1}{N}\\sum_{i=1}^N \\left( \\nabla_\\mathbf{w} T(\\mathbf{z}^i;\\mathbf{w}).\\nabla_\\mathbf{x}\\log\\pi\\left(T(\\mathbf{z}^i;\\mathbf{w})\\right) + \\nabla_{\\mathbf{w}}\\log \\text{det }\\nabla_\\mathbf{z} T(\\mathbf{z}^i;\\mathbf{w})\\right), \\,\\,\\, \\mathbf{z}^i \\sim \\mathcal{N}(\\mathbf{0},\\mathbf{I}_d).\n", "$$" ] }, { "cell_type": "markdown", "id": "f2bdf11d", "metadata": {}, "source": [ "The objective function and gradient can be defined using MParT as:" ] }, { "cell_type": "code", "execution_count": 3, "id": "9c347a0e", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.678775Z", "iopub.status.busy": "2024-03-21T17:44:18.678423Z", "iopub.status.idle": "2024-03-21T17:44:18.682596Z", "shell.execute_reply": "2024-03-21T17:44:18.682121Z" } }, "outputs": [], "source": [ "# KL divergence objective\n", "def obj(coeffs, transport_map, x):\n", " num_points = x.shape[1]\n", " transport_map.SetCoeffs(coeffs)\n", " map_of_x = transport_map.Evaluate(x)\n", " logpdf= target_logpdf(map_of_x)\n", " log_det = transport_map.LogDeterminant(x)\n", " return -np.sum(logpdf + log_det)/num_points\n", "\n", "# Gradient of unnomalized target density required for gradient objective\n", "def target_grad_logpdf(x):\n", " grad1 = -x[0,:] + (2*x[0,:]*(x[1,:]-x[0,:]**2))\n", " grad2 = (x[0,:]**2-x[1,:])\n", " return np.vstack((grad1,grad2))\n", "\n", "# Gradient of KL divergence objective\n", "def grad_obj(coeffs, transport_map, x):\n", " num_points = x.shape[1]\n", " transport_map.SetCoeffs(coeffs)\n", " map_of_x = transport_map.Evaluate(x)\n", " sens_vecs = target_grad_logpdf(map_of_x)\n", " grad_logpdf = transport_map.CoeffGrad(x, sens_vecs)\n", " grad_log_det = transport_map.LogDeterminantCoeffGrad(x)\n", " return -np.sum(grad_logpdf + grad_log_det, 1)/num_points" ] }, { "cell_type": "markdown", "id": "228b05c3", "metadata": {}, "source": [ "### Map parameterization" ] }, { "cell_type": "markdown", "id": "25d0f423", "metadata": {}, "source": [ "For the parameterization of $T$ we use a total order multivariate expansion of hermite functions. Knowing $T^\\text{true}$, any parameterization with total order greater than one will include the true solution of the map finding problem." ] }, { "cell_type": "code", "execution_count": 4, "id": "5e12167b", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.684576Z", "iopub.status.busy": "2024-03-21T17:44:18.684292Z", "iopub.status.idle": "2024-03-21T17:44:18.693224Z", "shell.execute_reply": "2024-03-21T17:44:18.692806Z" } }, "outputs": [], "source": [ "# Set-up first component and initialize map coefficients\n", "map_options = mt.MapOptions()\n", "\n", "total_order = 2\n", "\n", "# Create dimension 2 triangular map \n", "transport_map = mt.CreateTriangular(2,2,total_order,map_options)" ] }, { "cell_type": "markdown", "id": "38e18cb0", "metadata": {}, "source": [ "### Approximation before optimization\n", "\n", "Coefficients of triangular map are set to 0 upon creation." ] }, { "cell_type": "code", "execution_count": 5, "id": "89fe6c84", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.696058Z", "iopub.status.busy": "2024-03-21T17:44:18.695789Z", "iopub.status.idle": "2024-03-21T17:44:18.961999Z", "shell.execute_reply": "2024-03-21T17:44:18.961429Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make reference samples for training\n", "num_points = 10000\n", "z = np.random.randn(2,num_points)\n", "\n", "# Make reference samples for testing\n", "test_z = np.random.randn(2,5000)\n", "\n", "# Pushed samples\n", "x = transport_map.Evaluate(test_z)\n", "\n", "# Before optimization plot\n", "plt.figure()\n", "plt.contour(xx1, xx2, target_pdf_at_grid.reshape(ngrid,ngrid))\n", "plt.scatter(x[0],x[1], facecolor='blue', alpha=0.1, label='Pushed samples')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "eb014715", "metadata": {}, "source": [ "At initialization, samples are \"far\" from being distributed according to the banana distribution." ] }, { "cell_type": "markdown", "id": "0cc1c279", "metadata": {}, "source": [ "Initial objective and coefficients:" ] }, { "cell_type": "code", "execution_count": 6, "id": "77c3994f", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.964017Z", "iopub.status.busy": "2024-03-21T17:44:18.963845Z", "iopub.status.idle": "2024-03-21T17:44:18.976490Z", "shell.execute_reply": "2024-03-21T17:44:18.975991Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Starting coeffs\n", "[0. 0. 0. 0. 0. 0. 0. 0. 0.]\n", "Initial objective value: 3.40E+00\n", "==================\n" ] } ], "source": [ "# Print initial coeffs and objective\n", "print('==================')\n", "print('Starting coeffs')\n", "print(transport_map.CoeffMap())\n", "print('Initial objective value: {:.2E}'.format(obj(transport_map.CoeffMap(), transport_map, test_z)))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "b04cacbb", "metadata": {}, "source": [ "### Minimization" ] }, { "cell_type": "code", "execution_count": 7, "id": "643656bb", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:18.978929Z", "iopub.status.busy": "2024-03-21T17:44:18.978698Z", "iopub.status.idle": "2024-03-21T17:44:19.217091Z", "shell.execute_reply": "2024-03-21T17:44:19.216657Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 2.848868\n", " Iterations: 17\n", " Function evaluations: 19\n", " Gradient evaluations: 19\n", "Final coeffs:\n", "[ 1.64386417e-02 8.40185180e-01 1.11002314e-02 9.88287812e-01\n", " 8.46815229e-01 -7.30824747e-03 7.15717444e-02 -1.61399131e-03\n", " 2.21101864e+00]\n", "Final objective value: 2.83E+00\n", "==================\n" ] } ], "source": [ "print('==================')\n", "options={'gtol': 1e-4, 'disp': True}\n", "res = minimize(obj, transport_map.CoeffMap(), args=(transport_map, z), jac=grad_obj, method='BFGS', options=options)\n", "\n", "# Print final coeffs and objective\n", "print('Final coeffs:')\n", "print(transport_map.CoeffMap())\n", "print('Final objective value: {:.2E}'.format(obj(transport_map.CoeffMap(), transport_map, test_z)))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "9b8735ad", "metadata": {}, "source": [ "### Approximation after optimization" ] }, { "cell_type": "markdown", "id": "92769938", "metadata": {}, "source": [ "#### Pushed samples" ] }, { "cell_type": "code", "execution_count": 8, "id": "3ec606ac", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:19.220125Z", "iopub.status.busy": "2024-03-21T17:44:19.219217Z", "iopub.status.idle": "2024-03-21T17:44:19.499963Z", "shell.execute_reply": "2024-03-21T17:44:19.499446Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pushed samples\n", "x = transport_map.Evaluate(test_z)\n", "\n", "# After optimization plot\n", "plt.figure()\n", "plt.contour(xx1, xx2, target_pdf_at_grid.reshape(ngrid,ngrid))\n", "plt.scatter(x[0],x[1], facecolor='blue', alpha=0.1, label='Pushed samples')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "68d3eff3", "metadata": {}, "source": [ "After optimization, pushed samples $T(z^i)$, $z^i \\sim \\mathcal{N}(0,I)$ are approximately distributed according to the target $\\pi$" ] }, { "cell_type": "markdown", "id": "d8a22a76", "metadata": {}, "source": [ "#### Variance diagnostic" ] }, { "cell_type": "markdown", "id": "1f466156", "metadata": {}, "source": [ "A commonly used accuracy check when facing computation maps from density is the so-called variance diagnostic defined as:\n", "\n", "$$ \\epsilon_\\sigma = \\frac{1}{2} \\mathbb{V}\\text{ar}_\\rho \\left[ \\log \\frac{\\rho}{T^\\sharp \\bar{\\pi}} \\right] $$" ] }, { "cell_type": "markdown", "id": "3cb2709f", "metadata": {}, "source": [ "This diagnostic is asymptotically equivalent to the minimized KL divergence $D_{KL}(\\eta || T^\\sharp \\pi)$ and should converge to zero when the computed map converge to the true map." ] }, { "cell_type": "markdown", "id": "62fd2154", "metadata": {}, "source": [ "The variance diagnostic can be computed as follow:" ] }, { "cell_type": "code", "execution_count": 9, "id": "39c3f9fa", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:19.502310Z", "iopub.status.busy": "2024-03-21T17:44:19.501959Z", "iopub.status.idle": "2024-03-21T17:44:19.504976Z", "shell.execute_reply": "2024-03-21T17:44:19.504567Z" } }, "outputs": [], "source": [ "def variance_diagnostic(tri_map,ref,target_logpdf,x):\n", " ref_logpdf = ref.logpdf(x.T)\n", " y = tri_map.Evaluate(x)\n", " pullback_logpdf = target_logpdf(y) + tri_map.LogDeterminant(x)\n", " diff = ref_logpdf - pullback_logpdf\n", " expect = np.mean(diff)\n", " var = 0.5*np.mean((diff-expect)**2)\n", " return var" ] }, { "cell_type": "code", "execution_count": 10, "id": "ec0aff39", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:19.506849Z", "iopub.status.busy": "2024-03-21T17:44:19.506460Z", "iopub.status.idle": "2024-03-21T17:44:19.519306Z", "shell.execute_reply": "2024-03-21T17:44:19.518826Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Variance diagnostic: 3.34E-04\n", "==================\n" ] } ], "source": [ "# Reference distribution\n", "ref_distribution = multivariate_normal(np.zeros(2),np.eye(2));\n", "\n", "# Compute variance diagnostic\n", "var_diag = variance_diagnostic(transport_map,ref_distribution,target_logpdf,test_z)\n", "\n", "# Print variance diagnostic\n", "print('==================')\n", "print('Variance diagnostic: {:.2E}'.format(var_diag))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "198932fc", "metadata": {}, "source": [ "#### Pushforward density" ] }, { "cell_type": "markdown", "id": "5c20c276", "metadata": {}, "source": [ "We can also plot the contour of the unnormalized density $\\bar{\\pi}$ and the pushforward approximation $T_\\sharp \\eta$:" ] }, { "cell_type": "code", "execution_count": 11, "id": "fab3e189", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:19.521578Z", "iopub.status.busy": "2024-03-21T17:44:19.521343Z", "iopub.status.idle": "2024-03-21T17:44:19.826185Z", "shell.execute_reply": "2024-03-21T17:44:19.825787Z" }, "lines_to_next_cell": 0 }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Pushforward definition\n", "def push_forward_pdf(tri_map,ref,x):\n", " xinv = tri_map.Inverse(x,x)\n", " log_det_grad_x_inverse = - tri_map.LogDeterminant(xinv)\n", " log_pdf = ref.logpdf(xinv.T)+log_det_grad_x_inverse\n", " return np.exp(log_pdf)\n", "\n", "map_approx_grid = push_forward_pdf(transport_map,ref_distribution,xx)\n", "\n", "fig, ax = plt.subplots()\n", "CS1 = ax.contour(xx1, xx2, target_pdf_at_grid.reshape(ngrid,ngrid))\n", "CS2 = ax.contour(xx1, xx2, map_approx_grid.reshape(ngrid,ngrid),linestyles='--')\n", "ax.set_xlabel(r'$x_1$')\n", "ax.set_ylabel(r'$x_2$')\n", "h1,_ = CS1.legend_elements()\n", "h2,_ = CS2.legend_elements()\n", "legend1 = ax.legend([h1[0], h2[0]], ['Unnormalized target', 'TM approximation'])\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "9666ea97", "metadata": { "lines_to_next_cell": 2 }, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py" }, "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }