{ "cells": [ { "cell_type": "markdown", "id": "94013d9d", "metadata": {}, "source": [ "# Transport map from samples\n", "The objective of this example is to show how a transport map can be build in MParT when samples from the target density are known." ] }, { "cell_type": "markdown", "id": "9c8dcd1d", "metadata": {}, "source": [ "## Problem formulation\n", "From the definition of a transport map, the *function* $S(\\mathbf{x}; \\mathbf{w})$ is invertible and have a positive definite Jacobian for any parameters $w$. Combined with a probability density $\\eta(\\mathbf{r})$, we \n", "can therefore define a density $\\tilde{\\pi}_w(x)$ induced by transforming $r$ with the inverse map $S^{-1}(\\mathbf{r})$. More precisely, the change of random variable formula from the reference $\\eta$ to the target $\\tilde{\\pi}$ reads: \n", "\n", "$$\n", "\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x}) = \\eta(S(\\mathbf{x}; \\mathbf{w}))\\left| \\det\\nabla S(\\mathbf{x}; \\mathbf{w})\\right|,\n", "$$ \n", "\n", "where $\\det\\nabla S$ is the determinant of the map Jacobian at the point $\\mathbf{x}$. We refer to $\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x})$ as the *map-induced* density or *pullback distribution* and will commonly interchange notation for densities and measures to use the notation $\\tilde{\\pi} = S^{\\sharp} \\eta$.\n", "\n", "The objective of this example is, from samples $\\mathbf{x}^i$, $i \\in \\{1,...,n\\}$ drawn according to a density $\\pi$, build the map-induced density approximation $\\tilde{\\pi}$." ] }, { "cell_type": "markdown", "id": "0a553721", "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": "a1563d7f", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:38.253874Z", "iopub.status.busy": "2024-03-21T17:44:38.253710Z", "iopub.status.idle": "2024-03-21T17:44:40.070158Z", "shell.execute_reply": "2024-03-21T17:44:40.069643Z" } }, "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": "9f4fdfb4", "metadata": {}, "source": [ "## Reference density and samples\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 $\\pi$ to the 2D standard normal density is defined as:\n", "$$\n", " {S}^\\text{true}(x_1,x_2)=\n", " \\begin{bmatrix}\n", "x_1\\\\\n", "x_2 - x_1^2\n", "\\end{bmatrix}\n", "$$" ] }, { "cell_type": "markdown", "id": "ed2f39de", "metadata": {}, "source": [ "Samples from $\\pi$ are generated by the following:" ] }, { "cell_type": "code", "execution_count": 2, "id": "915669ba", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.072552Z", "iopub.status.busy": "2024-03-21T17:44:40.072301Z", "iopub.status.idle": "2024-03-21T17:44:40.076355Z", "shell.execute_reply": "2024-03-21T17:44:40.075880Z" } }, "outputs": [], "source": [ "# Make target samples for training\n", "num_points = 10000\n", "r = np.random.randn(2,num_points)\n", "x1 = r[0]\n", "x2 = r[1] + r[0]**2\n", "x = np.vstack([x1,x2])\n", "\n", "\n", "# Make target samples for testing\n", "test_r = np.random.randn(2,5000)\n", "test_x1 = test_r[0]\n", "test_x2 = test_r[1] + test_r[0]**2\n", "test_x = np.vstack([test_x1,test_x2])" ] }, { "cell_type": "markdown", "id": "1e8bcae6", "metadata": {}, "source": [ "### Plot training samples:" ] }, { "cell_type": "code", "execution_count": 3, "id": "b06e133e", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.078476Z", "iopub.status.busy": "2024-03-21T17:44:40.078090Z", "iopub.status.idle": "2024-03-21T17:44:40.332440Z", "shell.execute_reply": "2024-03-21T17:44:40.331888Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.scatter(x[0,:],x[1,:], facecolor='blue', alpha=0.1, label='Target samples')\n", "plt.xlabel('$x_1$')\n", "plt.ylabel('$x_2$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a288cfa8", "metadata": {}, "source": [ "## Map training\n", "\n", "### Defining objective function and its gradient\n", "\n", "To match the map induced density $\\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x})$ with the samples, we can maximize the likelihood of observing the samples, which is simply \n", "$$\n", "\\prod_{i=1}^N \\tilde{\\pi}_w(\\mathbf{x}^i).\n", "$$\n", "\n", "Numerically, it is typically easier to work with the log-likelihood instead and we will therefore maximize the log likelihood to find the parameters $w$:\n", "\n", "$$\n", "w^\\ast = \\underset{\\mathbf{w}}{\\operatorname{argmax}} \\sum_{i=1}^N \\log \\tilde{\\pi}_{\\mathbf{w}}(\\mathbf{x}^i).\n", "$$\n", "\n", "Importantly, our use of triangular maps and a standard normal reference density allows us to expand this objective into two independent problems: one for the parameters $w_1$ defining the first component $S_1(x_1; w_1)$ of the map, and one for the parameters defining the second component $S_2(x_{1:2}; w_2)$. \n", "In general, for map component $k$, the objective function is given by \n", "\n", "$$\n", "J_k(\\mathbf{w}_k) = - \\frac{1}{N}\\sum_{i=1}^N \\left( \\log\\eta\\left(S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)\\right) + \\log \\frac{\\partial S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)}{\\partial x_k}\\right)\n", "$$\n", "\n", "and the resulting optimization problem is \n", "\n", "$$\n", "\\mathbf{w}_k^\\ast = \\underset{\\mathbf{w}_k}{\\operatorname{argmin}} J_k(\\mathbf{w}_k).\n", "$$\n", "\n", "In order to use efficient gradient-based minimizer we need to define both the objective and its gradient. The gradient is given by\n", "\n", "$$\n", "\\nabla_{\\mathbf{w}_k}J_k(\\mathbf{w}_k) = - \\frac{1}{N}\\sum_{i=1}^N \\left(\\left[\\nabla_{\\mathbf{w}_k}S_k\n", "(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)\\right]^T \\nabla_\\mathbf{r}\\log \\eta \\left(S_k\n", "(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)\\right) - \\frac{\\partial \\nabla_{\\mathbf{w}_k}S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)}{\\partial x_k} \\left[\\frac{\\partial S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)}{\\partial x_k}\\right]^{-1}\\right),\n", "$$\n", "\n", "where $\\nabla_{\\mathbf{w}_k}S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)$ is the Jacobian of the map output with respect to the map parameters and $\\nabla_\\mathbf{r}\\log \\eta \\left(S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)\\right)$ is the gradient of the reference log-density evaluated at the map output. Note that for a standard normal reference density, this expression simplifies to $\\nabla_\\mathbf{r}\\log \\eta \\left(S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)\\right) = -S_k(\\mathbf{x}_{1:k}^i;\\mathbf{w}_k)$." ] }, { "cell_type": "code", "execution_count": 4, "id": "c353597f", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.334471Z", "iopub.status.busy": "2024-03-21T17:44:40.334288Z", "iopub.status.idle": "2024-03-21T17:44:40.338795Z", "shell.execute_reply": "2024-03-21T17:44:40.338287Z" } }, "outputs": [], "source": [ "# Reference density\n", "rho1 = multivariate_normal(np.zeros(1),np.eye(1))\n", "\n", "# Negative log likelihood objective\n", "def obj(coeffs, tri_map,x):\n", " \"\"\" Evaluates the log-likelihood of the samples using the map-induced density. \"\"\"\n", " num_points = x.shape[1]\n", " tri_map.SetCoeffs(coeffs)\n", "\n", " # Compute the map-induced density at each point \n", " map_of_x = tri_map.Evaluate(x)\n", " rho_of_map_of_x = rho1.logpdf(map_of_x.T)\n", " log_det = tri_map.LogDeterminant(x)\n", "\n", " # Return the negative log-likelihood of the entire dataset\n", " return -np.sum(rho_of_map_of_x + log_det)/num_points\n", " \n", "def grad_obj(coeffs, tri_map, x):\n", " \"\"\" Returns the gradient of the log-likelihood objective wrt the map parameters. \"\"\"\n", " num_points = x.shape[1]\n", " tri_map.SetCoeffs(coeffs)\n", "\n", " # Evaluate the map\n", " map_of_x = tri_map.Evaluate(x)\n", "\n", " # Now compute the inner product of the map jacobian (\\nabla_w S) and the gradient (which is just -S(x) here)\n", " grad_rho_of_map_of_x = -tri_map.CoeffGrad(x, map_of_x)\n", "\n", " # Get the gradient of the log determinant with respect to the map coefficients\n", " grad_log_det = tri_map.LogDeterminantCoeffGrad(x)\n", " \n", " return -np.sum(grad_rho_of_map_of_x + grad_log_det, 1)/num_points" ] }, { "cell_type": "markdown", "id": "e2f9e3cd", "metadata": {}, "source": [ "### Map parameterization\n", "\n", "With the separability property of the objective function mentionned above we can parameterize and optimize components $S_1$ and $S_2$ independently.\n" ] }, { "cell_type": "markdown", "id": "d5c2947d", "metadata": {}, "source": [ "#### First component $S_1$\n", "\n", "Theoritically the first component is $S_1^{\\text{true}}(x_1)=x_1$. This parameterization can be set with MParT as:" ] }, { "cell_type": "code", "execution_count": 5, "id": "9a11b46b", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.340684Z", "iopub.status.busy": "2024-03-21T17:44:40.340400Z", "iopub.status.idle": "2024-03-21T17:44:40.349127Z", "shell.execute_reply": "2024-03-21T17:44:40.348674Z" } }, "outputs": [], "source": [ "multis1 = np.array([[0],[1]]); \n", "mset1= mt.MultiIndexSet(multis1)\n", "fixed_mset1 = mset1.fix(True)" ] }, { "cell_type": "markdown", "id": "5e109344", "metadata": {}, "source": [ "Let's define the first component:" ] }, { "cell_type": "code", "execution_count": 6, "id": "acedcdee", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.352846Z", "iopub.status.busy": "2024-03-21T17:44:40.352615Z", "iopub.status.idle": "2024-03-21T17:44:40.355537Z", "shell.execute_reply": "2024-03-21T17:44:40.355070Z" } }, "outputs": [], "source": [ "# Set-up first component and initialize map coefficients\n", "map_options1 = mt.MapOptions()\n", "\n", "# Create map component\n", "S1 = mt.CreateComponent(fixed_mset1,map_options1)" ] }, { "cell_type": "markdown", "id": "931376e0", "metadata": {}, "source": [ "#### Second component $S_2$\n", "\n", "Theoritically the second component is $S_2^{\\text{true}}(x_1,x_2)=x_2^2-x_1$. The corresponding multi-index set can exactly be define as:" ] }, { "cell_type": "code", "execution_count": 7, "id": "89e97fe3", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.357674Z", "iopub.status.busy": "2024-03-21T17:44:40.357439Z", "iopub.status.idle": "2024-03-21T17:44:40.360488Z", "shell.execute_reply": "2024-03-21T17:44:40.360016Z" } }, "outputs": [], "source": [ "multis2_true = np.array([[0,1],[2,0]]); \n", "mset2_true = mt.MultiIndexSet(multis2_true)\n", "fixed_mset2_true = mset2_true.fix(True)" ] }, { "cell_type": "markdown", "id": "d096ef99", "metadata": {}, "source": [ "Other multi-index sets which include the true multi-index set are any total order expansion of order greater than one:" ] }, { "cell_type": "code", "execution_count": 8, "id": "75f9e2a8", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.362611Z", "iopub.status.busy": "2024-03-21T17:44:40.362369Z", "iopub.status.idle": "2024-03-21T17:44:40.365069Z", "shell.execute_reply": "2024-03-21T17:44:40.364611Z" } }, "outputs": [], "source": [ "total_order2 = 2\n", "fixed_mset2 = mt.FixedMultiIndexSet(2,total_order2)" ] }, { "cell_type": "markdown", "id": "406855d7", "metadata": {}, "source": [ "This parameterization will include terms: $x_1$, $x_2^2$, $x_1 x_2$ that are not required to approximate the true map." ] }, { "cell_type": "markdown", "id": "647f2ee6", "metadata": {}, "source": [ "Let's define $S_2$ with one multi-index set." ] }, { "cell_type": "code", "execution_count": 9, "id": "89dbe470", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.368422Z", "iopub.status.busy": "2024-03-21T17:44:40.368201Z", "iopub.status.idle": "2024-03-21T17:44:40.370957Z", "shell.execute_reply": "2024-03-21T17:44:40.370463Z" } }, "outputs": [], "source": [ "map_options2 = mt.MapOptions()\n", "S2 = mt.CreateComponent(fixed_mset2,map_options2) #or S2 = mt.CreateComponent(fixed_mset2_true,map_options2)" ] }, { "cell_type": "markdown", "id": "52e667dc", "metadata": {}, "source": [ "### Approximation before optimization\n", "\n", "Coefficients of map components are set to 0 upon creation. The triangular transport map composed by $S_1$ and $S_2$ is defined by:" ] }, { "cell_type": "code", "execution_count": 10, "id": "40c04e6d", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.373500Z", "iopub.status.busy": "2024-03-21T17:44:40.373281Z", "iopub.status.idle": "2024-03-21T17:44:40.376132Z", "shell.execute_reply": "2024-03-21T17:44:40.375703Z" } }, "outputs": [], "source": [ "transport_map = mt.TriangularMap((S1,S2))\n", "transport_map.SetCoeffs(np.concatenate((S1.CoeffMap(),S2.CoeffMap())))" ] }, { "cell_type": "markdown", "id": "ad1301de", "metadata": {}, "source": [ "Reference density:" ] }, { "cell_type": "code", "execution_count": 11, "id": "fd1769bc", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.380406Z", "iopub.status.busy": "2024-03-21T17:44:40.380139Z", "iopub.status.idle": "2024-03-21T17:44:40.384296Z", "shell.execute_reply": "2024-03-21T17:44:40.383830Z" } }, "outputs": [], "source": [ "# For plotting and computing reference density \n", "ref_distribution = multivariate_normal(np.zeros(2),np.eye(2)) #standard normal\n", "t = np.linspace(-5,5,100)\n", "grid = np.meshgrid(t,t)\n", "ref_pdf_at_grid = ref_distribution.pdf(np.dstack(grid))" ] }, { "cell_type": "markdown", "id": "88008ea1", "metadata": {}, "source": [ "Transport of target samples via $S$:" ] }, { "cell_type": "code", "execution_count": 12, "id": "b4bcc1ca", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.387112Z", "iopub.status.busy": "2024-03-21T17:44:40.386849Z", "iopub.status.idle": "2024-03-21T17:44:40.391264Z", "shell.execute_reply": "2024-03-21T17:44:40.390764Z" } }, "outputs": [], "source": [ "r_test_before_opt = transport_map.Evaluate(test_x)" ] }, { "cell_type": "code", "execution_count": 13, "id": "a6d96e62", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.393907Z", "iopub.status.busy": "2024-03-21T17:44:40.393645Z", "iopub.status.idle": "2024-03-21T17:44:40.709412Z", "shell.execute_reply": "2024-03-21T17:44:40.708887Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Starting coeffs component 1:\n", "[0. 0.]\n", "Objective value for component 1: 1.52E+00\n", "==================\n", "Starting coeffs component 2:\n", "[0. 0. 0. 0. 0. 0.]\n", "Objective value for component 2: 2.22E+00\n", "==================\n" ] } ], "source": [ "# Before optimization plot\n", "plt.figure()\n", "plt.title('Before optimization')\n", "plt.contour(*grid, ref_pdf_at_grid)\n", "plt.scatter(r_test_before_opt[0,:],r_test_before_opt[1,:], facecolor='blue', alpha=0.1, label='Pushed target samples through $S$')\n", "plt.legend()\n", "plt.xlabel('$r_1$')\n", "plt.ylabel('$r_2$')\n", "plt.show()\n", "\n", "\n", "# Print initial coeffs and objective values\n", "print('==================')\n", "print('Starting coeffs component 1:')\n", "print(S1.CoeffMap())\n", "print('Objective value for component 1: {:.2E}'.format(obj(S1.CoeffMap(), S1, test_x[:1,:])))\n", "print('==================')\n", "print('Starting coeffs component 2:')\n", "print(S2.CoeffMap())\n", "print('Objective value for component 2: {:.2E}'.format(obj(S2.CoeffMap(), S2, test_x)))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "a7a369b9", "metadata": {}, "source": [ "### Optimization\n", "\n", "Optimization of $S_1$ and $S_2$ coefficients are performed independently." ] }, { "cell_type": "markdown", "id": "239298c7", "metadata": {}, "source": [ "#### Optimization of $S_1$\n", "\n", "For $S_1$ only samples of the first coordinate $x_1$ are required to solve the minimization problem." ] }, { "cell_type": "code", "execution_count": 14, "id": "cf6e995f", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.712074Z", "iopub.status.busy": "2024-03-21T17:44:40.711831Z", "iopub.status.idle": "2024-03-21T17:44:40.742842Z", "shell.execute_reply": "2024-03-21T17:44:40.742327Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 1.425226\n", " Iterations: 5\n", " Function evaluations: 6\n", " Gradient evaluations: 6\n" ] } ], "source": [ "# Optimize\n", "optimizer_options={'gtol': 1e-5, 'disp': True}\n", "res = minimize(obj, S1.CoeffMap(), args=(S1, x[:1,:]), jac=grad_obj, method='BFGS', options=optimizer_options)" ] }, { "cell_type": "markdown", "id": "9b7e15c6", "metadata": {}, "source": [ "#### Optimization of $S_2$" ] }, { "cell_type": "code", "execution_count": 15, "id": "91d5bec4", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.745286Z", "iopub.status.busy": "2024-03-21T17:44:40.745050Z", "iopub.status.idle": "2024-03-21T17:44:40.871224Z", "shell.execute_reply": "2024-03-21T17:44:40.870809Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization terminated successfully.\n", " Current function value: 1.414791\n", " Iterations: 16\n", " Function evaluations: 18\n", " Gradient evaluations: 18\n" ] } ], "source": [ "# Optimize\n", "optimizer_options={'gtol': 1e-5, 'disp': True}\n", "res = minimize(obj, S2.CoeffMap(), args=(S2, x), jac=grad_obj, method='BFGS', options=optimizer_options)" ] }, { "cell_type": "markdown", "id": "0fe85913", "metadata": {}, "source": [ "### Approximation after optimization" ] }, { "cell_type": "markdown", "id": "3dc9d8f4", "metadata": {}, "source": [ "#### Normality of pushed samples:\n", "\n" ] }, { "cell_type": "markdown", "id": "2ac4b16a", "metadata": {}, "source": [ "Coefficients of `transport_map` are now updated, let's transport testing samples again:" ] }, { "cell_type": "code", "execution_count": 16, "id": "b269087a", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.875384Z", "iopub.status.busy": "2024-03-21T17:44:40.874048Z", "iopub.status.idle": "2024-03-21T17:44:40.880233Z", "shell.execute_reply": "2024-03-21T17:44:40.879821Z" } }, "outputs": [], "source": [ "r_test_after_opt = transport_map.Evaluate(test_x)" ] }, { "cell_type": "code", "execution_count": 17, "id": "8e0c659d", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:40.883941Z", "iopub.status.busy": "2024-03-21T17:44:40.882680Z", "iopub.status.idle": "2024-03-21T17:44:41.178575Z", "shell.execute_reply": "2024-03-21T17:44:41.178097Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Final coeffs component 1:\n", "[0.00849893 0.84131668]\n", "Objective value for component 1: 1.41E+00\n", "==================\n", "Final coeffs component 2:\n", "[-1.00899706 0.86291349 0.00314095 0.01513377 -0.002531 -2.23750783]\n", "Objective value for component 2: 1.40E+00\n", "==================\n" ] } ], "source": [ "# After optimization plot\n", "plt.figure()\n", "plt.title('After optimization')\n", "plt.contour(*grid, ref_pdf_at_grid)\n", "plt.scatter(r_test_after_opt[0,:],r_test_after_opt[1,:], facecolor='blue', alpha=0.1, label='Pushed target samples through $S$')\n", "plt.legend()\n", "plt.xlabel('$r_1$')\n", "plt.ylabel('$r_2$')\n", "plt.show()\n", "\n", "\n", "# Print final coeffs and objective\n", "print('==================')\n", "print('Final coeffs component 1:')\n", "print(S1.CoeffMap())\n", "print('Objective value for component 1: {:.2E}'.format(obj(S1.CoeffMap(), S1, test_x[:1,:])))\n", "print('==================')\n", "print('Final coeffs component 2:')\n", "print(S2.CoeffMap())\n", "print('Objective value for component 2: {:.2E}'.format(obj(S2.CoeffMap(), S2, test_x)))\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "4dfd7471", "metadata": {}, "source": [ "After optimization testing samples are visually distributed according to the standard normal which tell us that the map has been computed accurately. Another estimation of the approximation quality is to test normality of the pushed samples. One simple way to do that is to compute first moments of the pushed test samples:" ] }, { "cell_type": "code", "execution_count": 18, "id": "523e8379", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.182740Z", "iopub.status.busy": "2024-03-21T17:44:41.181422Z", "iopub.status.idle": "2024-03-21T17:44:41.190271Z", "shell.execute_reply": "2024-03-21T17:44:41.189860Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================\n", "Mean of normalized test samples\n", "[0.00522951 0.01503834]\n", "==================\n", "Cov of normalized test samples\n", "[[0.96889399 0.01897448]\n", " [0.01897448 0.97549654]]\n", "==================\n" ] } ], "source": [ "# Print statistics of normalized samples \n", "print('==================')\n", "mean_of_map = np.mean(r_test_after_opt,1)\n", "print(\"Mean of normalized test samples\")\n", "print(mean_of_map)\n", "print('==================')\n", "print(\"Cov of normalized test samples\")\n", "cov_of_map = np.cov(r_test_after_opt)\n", "print(cov_of_map)\n", "print('==================')" ] }, { "cell_type": "markdown", "id": "70c90829", "metadata": {}, "source": [ "Here mean should be 0 and covariance matrix should be identity." ] }, { "cell_type": "markdown", "id": "29cc8b4a", "metadata": {}, "source": [ "#### Comparison with the true transport map" ] }, { "cell_type": "markdown", "id": "2b28d61c", "metadata": {}, "source": [ "Since the true transport map for this problem is known, we can compare directly map evaluations component by component." ] }, { "cell_type": "code", "execution_count": 19, "id": "cb05f29c", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.194109Z", "iopub.status.busy": "2024-03-21T17:44:41.192876Z", "iopub.status.idle": "2024-03-21T17:44:41.199251Z", "shell.execute_reply": "2024-03-21T17:44:41.198836Z" } }, "outputs": [], "source": [ "# Evaluation grid\n", "\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)))" ] }, { "cell_type": "markdown", "id": "541b0e1a", "metadata": {}, "source": [ "##### First component" ] }, { "cell_type": "code", "execution_count": 20, "id": "6ae5f43a", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.202970Z", "iopub.status.busy": "2024-03-21T17:44:41.201747Z", "iopub.status.idle": "2024-03-21T17:44:41.469497Z", "shell.execute_reply": "2024-03-21T17:44:41.468984Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.title('$S_1(x_1)$')\n", "plt.plot(x1_t,x1_t,label='true map')\n", "plt.plot(x1_t,S1.Evaluate(x1_t.reshape(1,-1)).flatten(),'--',label='map approximation')\n", "plt.xlabel('$x_1$')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "4ca4eeaa", "metadata": {}, "source": [ "##### Second component" ] }, { "cell_type": "code", "execution_count": 21, "id": "3004a39c", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.471785Z", "iopub.status.busy": "2024-03-21T17:44:41.471380Z", "iopub.status.idle": "2024-03-21T17:44:41.814330Z", "shell.execute_reply": "2024-03-21T17:44:41.813823Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "map_eval_true = xx[1,:] - xx[0,:]**2\n", "map_eval_approx = S2.Evaluate(xx)\n", "\n", "plt.figure()\n", "plt.title('$S_2(x_1,x_2)$')\n", "plt.contour(*grid, map_eval_true.reshape(100,100))\n", "plt.contour(*grid, map_eval_approx.reshape(100,100),linestyles='--')\n", "plt.xlabel('$x_1$')\n", "plt.ylabel('$x_2$')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c9e683d2", "metadata": {}, "source": [ "#### Contours of map-induced density\n", "\n", "We can also compare contours of the map-induced density and true unnormalized density. " ] }, { "cell_type": "code", "execution_count": 22, "id": "af1ec0c3", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.816446Z", "iopub.status.busy": "2024-03-21T17:44:41.816164Z", "iopub.status.idle": "2024-03-21T17:44:41.819717Z", "shell.execute_reply": "2024-03-21T17:44:41.819268Z" } }, "outputs": [], "source": [ "# Map induced pdf\n", "def pullback_pdf(tri_map,rho,x):\n", " r = tri_map.Evaluate(x)\n", " log_pdf = rho.logpdf(r.T)+tri_map.LogDeterminant(x)\n", " return np.exp(log_pdf)\n", "\n", "# True density\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" ] }, { "cell_type": "code", "execution_count": 23, "id": "3074f134", "metadata": { "execution": { "iopub.execute_input": "2024-03-21T17:44:41.821603Z", "iopub.status.busy": "2024-03-21T17:44:41.821243Z", "iopub.status.idle": "2024-03-21T17:44:42.072362Z", "shell.execute_reply": "2024-03-21T17:44:42.071864Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Comparison grid\n", "\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", "# For plotting and computing densities\n", "\n", "true_pdf_at_grid = np.exp(target_logpdf(xx))\n", "\n", "map_induced_pdf = pullback_pdf(transport_map,ref_distribution,xx)\n", "\n", "fig, ax = plt.subplots()\n", "#SCA = ax.scatter(test_x[0,:2000],test_x[1,:2000], facecolor='blue', alpha=0.1,label='Target samples')\n", "CS1 = ax.contour(xx1, xx2, true_pdf_at_grid.reshape(ngrid,ngrid))\n", "CS2 = ax.contour(xx1, xx2, map_induced_pdf.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()" ] } ], "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 }