{ "cells": [ { "cell_type": "markdown", "id": "f15e6cf3", "metadata": {}, "source": [ "# Modelling distributions with regularized JKO scheme and tensor-train decomposition\n", "\n", "This notebook summarizes the main principles of the method and demonstrates the application of the code. \n", "\n", "## Entropy regularized JKO scheme\n", "\n", "The idea of the method is to construct a sequence of measures $\\rho^k$, that successively minimize the $\\operatorname{KL(\\rho^k|\\rho^\\infty)}$ between the current estimate and the posterior distribution $\\rho^\\infty$. \n", "We also introduce a dynamic that interpolates between the intermediate steps, and will give us an algorithm to produce samples. \n", "\n", "\\begin{align}\n", "\\rho^{k+1} = \\arg\\min\\limits_{v,\\rho }\\int\\limits_0^T\\int\\limits_X {\\frac{1}{2}\\|v(t,x)\\|^2}{\\rho(t, x)}\\mathrm{d}x\\mathrm{d}t &+ \\operatorname{KL}(\\rho(T,\\cdot) | \\rho^\\infty) \\\\\n", "\\partial_t \\rho + \\nabla(\\rho v) &= \\beta\\operatorname{\\Delta}\\rho \\\\\n", "\\rho(0, x) &= \\rho^{k}(x) \\\\\n", "\\rho(T, x) &:= \\rho^{k+1}(x)\n", "\\end{align}\n", "\n", "In this PDE-constrained minimization problem, the $\\operatorname{KL(\\rho^k|\\rho^\\infty)}$ term penalizes the dissimilarity to the posterior, and the integral provides that the next step is not too far from the current. \n", "The constraint of the Fokker-Planck equation is defining the interpolating dynamics. The dynamic can be equivalently written as an SDE:\n", "\n", "\\begin{align}\n", "\\mathrm{d}X_t &= v(t, X_t)\\mathrm{d}t + \\sqrt{2\\beta}\\mathrm{d}W_t \\\\\n", "X_0 &\\sim \\rho^k\n", "\\end{align}\n", "\n", "or as an ODE:\n", "\n", "\\begin{align}\n", "\\dot X(t) &= \\tilde{v}(t, x(t)) \\\\\n", "\\tilde{v}(t, x) &:= v(t, x) - \\beta\\nabla\\log\\rho(t, x)\n", "\\end{align}\n", "\n", "So, if the solution $\\rho,v$ is known, one can use this to transform a sample from $\\rho^k$ to a sample from $\\rho^{k+1}$, by solving one of these equations. \n", "\n", "The important parameters are the timestep $T > 0$ and the regularization factor $\\beta > 0$.\n", "\n", "\n", "## Tensor-Train decomposition\n", "\n", "The idea of the package is to use a discretization on the grid. \n", "This wouldn't normally be possible in a dimension $>3$, but we use a Tensor-Train decomposition to compress the data.\n", "\n", "In TT format, a tensor $A \\in \\mathbb{R}^{N_1 \\times \\cdots \\times N_d}$ is (approximately) represented as:\n", "$$\n", "A_{i_1\\cdots i_d} \\approx A^1_{i_1 r_1} A^2_{r_1 i_2 r_2} \\cdots A^d_{r_{d-1}i_d}\n", "$$\n", "with 3-tensors $A^k \\in \\mathbb{R}^{r_{k-1} \\times i_k \\times r_k}$ called the components, $r_k$ ranks and $r = \\max_k r_k, $ being the rank of the Tensor Train. \n", "Certain structured data can be represented with Tensor Train of low rank, allowing to significantly reduce the storage cost ($O(dNr^2)$ versus $O(N^d)$ for the full tensor).\n", "Some of the linear algebra operations can be performed in the low rank format.\n", "The cross-approximation algorithm allows to construct a low-rank approximation to a tensor by accessing its values only for a smaller set of indices, which is useful to reconstruct functionally-defined tensors.\n", "\n", "## Solver\n", "\n", "Let's try the method out!" ] }, { "cell_type": "code", "execution_count": 1, "id": "a8db47a0", "metadata": { "scrolled": true }, "outputs": [], "source": [ "# TODO: proper installation, remove this...\n", "\n", "import sys\n", "\n", "sys.path.append(\"../../../src/\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "f0091e95", "metadata": { "scrolled": true }, "outputs": [], "source": [ "from rJKOtt import *\n", "from rJKOtt.utility import tt_independent_gaussians" ] }, { "cell_type": "code", "execution_count": 3, "id": "8b9c202a", "metadata": { "scrolled": true }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.stats import uniform\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "import teneva" ] }, { "cell_type": "markdown", "id": "3c3f2bb9", "metadata": {}, "source": [ "### Target distribution\n", "\n", "As a target for this test, we choose a Gaussian mixture distribution.\n", "Each component is a normal distribution $\\mathcal{N}(m_i, \\sigma I_d)$ and they are mixed with equal weights, with $m_i$ generated randomly. One also has to choose the bounds for the grid; in this example, it's chosen so that the grid fits the $3\\sigma$ interval of each of the components of the mixture." ] }, { "cell_type": "code", "execution_count": 4, "id": "6ed20f1b", "metadata": { "scrolled": true }, "outputs": [], "source": [ "N_comp = 5\n", "dim = 6\n", "L = 3.0 # Choose the grid bounds\n", "N = [\n", " 100,\n", "] * dim # Number of nodes in the grid; can be chosen independently in each direction, but we take uniforn\n", "grid = Grid(-L, L, N, dim) # Initialize the grid\n", "means = uniform.rvs(loc=-L / 2, scale=L / 1, size=(N_comp, dim), random_state=1)\n", "sigma = 0.5\n", "covariance = [\n", " np.eye(\n", " dim,\n", " )\n", " * sigma**2\n", "] * N_comp" ] }, { "cell_type": "code", "execution_count": 5, "id": "cf8f26e7", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gm = GaussianMixture(\n", " grid,\n", " means,\n", " covariance,\n", ") # Convenience class for\n", "fig, axs = gm.plot_matrix_marginals(\n", " sym=True,\n", " contour_kwargs={\n", " \"cmap\": \"Blues\",\n", " },\n", " plot_kwargs={\"color\": \"tab:blue\", \"label\": r\"$\\rho_\\infty$\"},\n", ")" ] }, { "cell_type": "markdown", "id": "5d2512c6", "metadata": {}, "source": [ "### Initial distribution\n", "\n", "As a starting distribution $\\rho^0$ we choose the Standart Normal (up to constraining it on the box defined by the bounds)." ] }, { "cell_type": "code", "execution_count": 6, "id": "522d5406", "metadata": { "scrolled": true }, "outputs": [], "source": [ "tt_init = TensorTrainDistribution.gaussian(grid)" ] }, { "cell_type": "markdown", "id": "05d91594", "metadata": {}, "source": [ "Let's plot them together:" ] }, { "cell_type": "code", "execution_count": 7, "id": "3e14dd36", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, axs = tt_init.plot_matrix_marginals(\n", " axs=axs,\n", " contour_kwargs={\"cmap\": \"Oranges\", \"linestyles\": \"dashed\", \"alpha\": 0.7},\n", " plot_kwargs={\n", " \"color\": \"tab:orange\",\n", " \"label\": r\"$\\rho^0$\",\n", " },\n", ")\n", "axs[-1, -1].legend()\n", "fig" ] }, { "cell_type": "markdown", "id": "c05b23c0", "metadata": {}, "source": [ "### The solver\n", "\n", "For the discrete solution, the first-order optimality conditions are written and, with a change of variables, we arrive at the system of PDEs\n", "\n", "\\begin{align}\n", "\\partial_t \\hat{\\eta} &= \\beta\\Delta\\hat{\\eta} \\\\\n", "\\partial_t {\\eta} &= -\\beta\\Delta\\eta \\\\\n", "\\hat\\eta (0) &= \\frac{\\rho^k(x)}{\\eta(0)}\\\\\n", "\\eta(T) &= \\left(\\frac{\\rho_\\infty}{\\hat\\eta(T)} \\right)^{\\frac{1}{1 + 2\\beta}} \\\\\n", "\\rho(t, x) &= \\eta(t, x)\\cdot \\hat\\eta(t, x),\\\\\n", "v(t, x) &= 2\\beta\\nabla\\log\\eta(t, x)\n", "\\end{align}\n", "\n", "The variables $\\eta, \\hat\\eta$ are then represented on a grid.\n", "The finite-difference solution of the heat equations is computed efficiently by applying one-dimensional solution operators $e^{\\beta T \\Delta}$ to the components of the tensor train.\n", "Given pointwise evaluations of one of the potentials. \n", "The initial and terminal conditions are satisfied approximately by reconstructing the right-hand sides with cross-approximation.\n", "\n", "During the cross-approximation of the terminal condition, the posterior is evaluated.\n", "In a practical Bayesian inversion application, this call invokes the computationally intensive forward model, so we suggest to cache these calls to save computational effort. \n", "\n", "Additional problem is the coupling of the system. \n", "For that, the fixed-point approach is used. \n", "Starting with the initial guess for one of the potentials $\\eta$, we can compute the solution of the PDE, get the boundary value for the other potential $\\hat\\eta$ from the BC, solve PDE again and, from the terminal condition get the value $\\tilde\\eta$ that, for the coupled solution, should be equal to the initial guess.\n", "\n", "We reformulate the coupling problem as a fixed point problem for this operator, also represented as a cycle below:\n", "\n", "\n", "$$\n", "\\Large\n", "\\begin{CD}\n", "\\eta_{m, 0} @<{e^{\\beta T \\Delta}\\cdot }<< \\eta_{m, T} \\\\\n", "@V{\\hat\\eta_{m, 0}} = \\frac{\\rho^k}{\\eta_{m,0}}VV @AA{\\tilde\\eta_{m, T} = \\left(\\frac{\\rho_\\infty}{\\hat\\eta_{m, T}} \\right)^{\\frac{1}{1 + 2\\beta}} \n", "}A \\\\\n", "\\hat\\eta_{m, 0} @>>{e^{\\beta T \\Delta}\\cdot }> \\hat\\eta_{m, T}\n", "\\end{CD}\n", "$$\n", "\n", "The most basic approach would be Picard iteration, i.e. iterating the cycle over and over, taking $\\eta_{m+1} = \\tilde\\eta_{m}$.\n", "It is, however, slow, so we implement Anderson's acceleration scheme." ] }, { "cell_type": "code", "execution_count": 8, "id": "2b83533a", "metadata": { "scrolled": true }, "outputs": [], "source": [ "import rJKOtt.TensorTrainSolver\n", "\n", "solver = TensorTrainSolver(\n", " gm.density, # The function x -> rho_infty(x)\n", " tt_init, # Info on the grid and the initial distribution (in TT)\n", " TensorTrainSolverParams(), # Solver's parameters; for the most of them, defaults are OK\n", ")" ] }, { "cell_type": "markdown", "id": "a4c20d50", "metadata": {}, "source": [ "Unfortunately, at the current stage the solver has a lot of parameters that can't be chosen automatically. For the most, defaults are ok, but we set the important ones below" ] }, { "cell_type": "code", "execution_count": 9, "id": "77480879", "metadata": { "scrolled": true }, "outputs": [], "source": [ "solver.params.max_rank = 5 # Max TT rank for all the represented variables\n", "solver.params.cross_validation_rtol = 1e-8\n", "# Early stopping criterion for the cross approximation\n", "solver.params.fp_stopping_rtol = 1e-8\n", "# Early stopping criterion for the fixed-point iterations. Set smaller in order to compute KL_est more accurately\n", "solver.params.fp_relaxation = 0.9\n", "# Relaxation factor for the fixed-point method. Default should be ok, make smaller if FP doesn't converge" ] }, { "cell_type": "markdown", "id": "a623e678-24f4-4241-898e-37693fb56915", "metadata": {}, "source": [ "At least for the simple distributions without strong concentration, a good approximation can actually be obtained in one step.\n", "Regularization factor $\\beta$ controls the quality (increase to get a \"blurrier\" approximation).\n", "The time step $T$ should be chosen large enough so that $\\beta T \\approx 1\\dots100$" ] }, { "cell_type": "code", "execution_count": 10, "id": "a534eaad", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initializing FP with method=2_anderson\n", "\tSolving initial condition ranks= [ 1 7 7 3 3 3 1] dt=2.95e-02 n_calls= 12800 stop_condition='e_vld'\n", "\tRounding ranks= [ 1 1 1 1 1 1 1] dt=3.70e-03\n", "\tSolving terminal condition " ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/aksenov/miniconda3/envs/teneva_test/lib/python3.11/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:412: SparseEfficiencyWarning: splu converted its input to CSC format\n", " warn('splu converted its input to CSC format', SparseEfficiencyWarning)\n", "/home/aksenov/miniconda3/envs/teneva_test/lib/python3.11/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:302: SparseEfficiencyWarning: spsolve is more efficient when sparse b is in the CSC matrix format\n", " warn('spsolve is more efficient when sparse b '\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "ranks= [ 1 16 16 13 13 13 1] dt=9.42e+00 n_calls= 383100 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.49e-03\n", "Starting FP step 1 rel_err inf\n", "\tSolving initial condition ranks= [ 1 7 7 3 3 3 1] dt=2.54e-02 n_calls= 12800 stop_condition='e_vld'\n", "\tRounding ranks= [ 1 1 1 1 1 1 1] dt=8.94e-04\n", "\tSolving terminal condition ranks= [ 1 16 16 13 13 13 1] dt=2.21e+00 n_calls= 383100 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.55e-03\n", "Starting FP step 2 rel_err 1.74e+01\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=2.36e-01 n_calls= 104000 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=4.53e-03\n", "\tSolving terminal condition ranks= [ 1 16 16 13 13 13 1] dt=8.61e+00 n_calls= 383100 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.75e-03\n", "Starting FP step 3 rel_err 1.10e-01\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=1.74e-01 n_calls= 85600 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=2.29e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=9.33e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.39e-03\n", "\tAnderson step with alpha=1.111e+00\n", "Starting FP step 4 rel_err 1.00e-02\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=1.32e-01 n_calls= 85600 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=2.67e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=2.30e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.75e-03\n", "\tAnderson step with alpha=1.111e+00\n", "Starting FP step 5 rel_err 9.93e-04\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=2.20e-01 n_calls= 85600 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=5.08e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=2.75e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.02e-02\n", "\tAnderson step with alpha=1.111e+00\n", "Starting FP step 6 rel_err 9.93e-05\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=1.87e-01 n_calls= 85600 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.63e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=5.05e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.25e-02\n", "\tAnderson step with alpha=1.111e+00\n", "Starting FP step 7 rel_err 9.93e-06\n", "\tSolving initial condition ranks= [ 1 9 9 9 9 9 1] dt=5.09e-01 n_calls= 85600 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=8.19e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=6.04e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.37e-02\n", "\tAnderson step with alpha=1.111e+00\n", "Starting FP step 8 rel_err 9.93e-07\n", "\tSolving initial condition ranks= [ 1 7 7 7 7 7 1] dt=1.24e-01 n_calls= 31200 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=8.32e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=3.67e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.18e-03\n", "\tAnderson step with alpha=1.113e+00\n", "Starting FP step 9 rel_err 9.64e-08\n", "\tSolving initial condition ranks= [ 1 7 7 7 7 7 1] dt=1.02e-01 n_calls= 31200 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=3.00e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=3.73e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.07e-02\n", "\tAnderson step with alpha=1.072e+00\n", "Starting FP step 10 rel_err 2.68e-08\n", "\tSolving initial condition ranks= [ 1 7 7 7 7 7 1] dt=5.38e-02 n_calls= 31200 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.89e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=2.93e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.29e-02\n", "Starting FP step 11 rel_err 1.47e-08\n", "\tSolving initial condition ranks= [ 1 7 7 7 7 7 1] dt=5.01e-02 n_calls= 31200 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.58e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=2.44e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=7.59e-03\n", "\tAnderson step with alpha=5.151e-01\n", "Starting FP step 12 rel_err 2.55e-08\n", "\tSolving initial condition ranks= [ 1 7 7 7 7 7 1] dt=5.97e-02 n_calls= 31200 stop_condition='e'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=1.59e-03\n", "\tSolving terminal condition ranks= [ 1 14 14 14 15 15 1] dt=2.63e+00 n_calls= 387500 stop_condition='m'\n", "\tRounding ranks= [ 1 5 5 5 5 5 1] dt=5.60e-03\n", "Computing KL err\n", "Computing KL estimate\n" ] } ], "source": [ "_, rel_errors, _, _ = solver.step(1e-4, 1e5, save_history=True)" ] }, { "cell_type": "code", "execution_count": 11, "id": "a5d3240a-06d5-4557-8e8f-d6bc54648b5c", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KL error (w. posterior calls): 0.00e+00\n", "KL estimate (no posterior calls): 9.49e-05\n" ] } ], "source": [ "print(\n", " f\"KL error (w. posterior calls): {solver.KLs[-1]:.2e}\\nKL estimate (no posterior calls): {solver.KLs_est[-1]:.2e}\"\n", ")" ] }, { "cell_type": "markdown", "id": "739045c2-3b2b-4593-a26f-2ce21bbe5d70", "metadata": {}, "source": [ "One can study the convergence of the FP method" ] }, { "cell_type": "code", "execution_count": 12, "id": "601eeb57-25fd-45dd-a43e-aa979acf3954", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(rel_errors)\n", "plt.yscale(\"log\")\n", "plt.ylabel(r\"$\\frac{\\|\\eta_m - \\tilde\\eta_m\\|_2}{\\|\\eta_m\\|_2}$\")\n", "plt.xlabel(\"Iteration $m$\")\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "id": "145d83ab-0446-42c8-870b-b390234c537d", "metadata": {}, "source": [ "### Sampling\n", "\n", "With the converged soultion, the interpolating dynamics can be used to produce samples.\n", "In terms of the parameters, the SDE takes form\n", "\n", "$$\n", "\\begin{align}\n", "\\mathrm{d}X_t &= 2\\beta\\nabla\\log\\eta(t, X_t)\\ \\mathrm{d}t + \\sqrt{2\\beta}\\mathrm{d}W_t \\\\\n", "X_0 &\\sim \\rho^k\n", "\\end{align}\n", "$$\n", "\n", "and the ODE:\n", "\n", "$$\n", "\\dot{x}(t) = \\beta\\nabla\\left(\\log\\eta(t, x(t)) - \\log\\hat\\eta(t, x(t))\\right) \n", "$$\n", "\n", "Using ODE is more advantageous due to existence of methods with high order and adaptive choice of step size.\n", "However, in the current application, the ODE becomes stiff towards the time interval, and the solution exhibits numerical artefacts. Our solution is for each timestep to run the ODE dynamic for the time $T(1 - \\varepsilon)$ (approximately with RK45) and for the last $T\\varepsilon$ use the SDE dynamic (with Euler-Maruyama). \n" ] }, { "cell_type": "code", "execution_count": 13, "id": "f8c0b467-a78d-40ef-a330-48e0a53ff7e0", "metadata": { "scrolled": true }, "outputs": [], "source": [ "x0 = np.random.randn(300, dim)\n", "\n", "solver.params.sampling_sde_fraction = 1e-3\n", "solver.params.sampling_n_euler_maruyama_steps = 50\n", "\n", "sample_tt = solver.sample(x0)\n", "sample_ref = gm.sample(300)" ] }, { "cell_type": "markdown", "id": "791b6245-2633-4e2b-90e9-38c1f01abb6a", "metadata": {}, "source": [ "When the sample is ready, let's plot the result (marginals of two parameters, not of all for better visibility)" ] }, { "cell_type": "code", "execution_count": 14, "id": "17af9520", "metadata": { "jupyter": { "source_hidden": true }, "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = gm.plot_matrix_marginals(\n", " sym=True,\n", " sample=sample_ref,\n", " scatter_args=[0.2],\n", " scatter_kwargs={\"c\": \"tab:blue\"},\n", " contour_kwargs={\n", " \"cmap\": \"Blues\",\n", " },\n", " plot_kwargs={\"color\": \"tab:blue\", \"label\": r\"$\\rho_\\infty$\"},\n", ")\n", "\n", "\n", "tt_distr = solver.get_current_distribution()\n", "tt_distr.plot_matrix_marginals(\n", " axs=axs,\n", " sample=sample_tt,\n", " scatter_args=[0.2],\n", " scatter_kwargs={\"color\": \"tab:orange\"},\n", " contour_kwargs={\n", " \"cmap\": \"Oranges\",\n", " \"linestyles\": \"dashed\",\n", " },\n", " plot_kwargs={\"color\": \"tab:orange\", \"label\": r\"$\\rho_{TT}$\", \"linestyle\": \"--\"},\n", ")\n", "axs[-1, -1].legend(bbox_to_anchor=(1.2, 0.5))" ] }, { "cell_type": "markdown", "id": "25b89e48-580f-4f18-a00c-e37315ad2a34", "metadata": {}, "source": [ "Having the reference sample, it makes sense to compare it to the TT sample using OT-based distances.\n", "But, since different random samples from the same measure define different empirical measures, there is the additional error.\n", "This error decreases with the size of the sample, but cannot be efficiently reduced to near-zero values.\n", "One of the ways is to compute multiple independent samples from TT and reference and OT distances between them, and compare to distances between samples, drawn independently from the reference." ] }, { "cell_type": "code", "execution_count": 15, "id": "64a5b2e4", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[KeOps] Warning : Cuda libraries were not detected on the system or could not be loaded ; using cpu only mode\n" ] } ], "source": [ "from geomloss import SamplesLoss\n", "import torch\n", "\n", "_S2dist = SamplesLoss(blur=0.1) # Sinkhorn distance with regularization 0.1\n", "S2dist = lambda s1, s2: _S2dist(torch.from_numpy(s1), torch.from_numpy(s2))" ] }, { "cell_type": "code", "execution_count": 16, "id": "55cdb7a3", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/aksenov/miniconda3/envs/teneva_test/lib/python3.11/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:412: SparseEfficiencyWarning: splu converted its input to CSC format\n", " warn('splu converted its input to CSC format', SparseEfficiencyWarning)\n", "/home/aksenov/miniconda3/envs/teneva_test/lib/python3.11/site-packages/scipy/sparse/linalg/_dsolve/linsolve.py:302: SparseEfficiencyWarning: spsolve is more efficient when sparse b is in the CSC matrix format\n", " warn('spsolve is more efficient when sparse b '\n" ] } ], "source": [ "solver.params.sampling_n_euler_maruyama_steps = 100\n", "solver.params.sampling_sde_fraction = 5e-3\n", "\n", "n_draws = 20\n", "n_samples = 100 # Number of samples in each draw\n", "\n", "samples_tt = [solver.sample(np.random.randn(n_samples, dim)) for _ in range(n_draws)]\n", "samples_ref = [gm.sample(n_samples) for _ in range(2 * n_draws)]\n", "\n", "dist_tt_ref = [S2dist(s_tt, s_ref) for s_tt, s_ref in zip(samples_ref, samples_tt)]\n", "dist_ref_ref = [S2dist(s1, s2) for s1, s2 in zip(samples_ref, samples_ref[n_draws:])]" ] }, { "cell_type": "code", "execution_count": 17, "id": "c7470e0f-403b-4bed-bdde-89caba212b29", "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist(dist_tt_ref, label=\"ref to tt\")\n", "plt.hist(dist_ref_ref, label=\"ref to ref\")\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 18, "id": "5f30d7d9-251a-47b6-9956-4ec483ae744f", "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tt_ref 0.68+-0.07\n", "ref_ref 0.62+-0.09\n" ] } ], "source": [ "labels = [\"tt_ref\", \"ref_ref\"]\n", "for arr, l in zip([dist_tt_ref, dist_ref_ref], labels):\n", " arr = np.array(arr)\n", " print(f\"{l} {arr.mean():.2f}+-{arr.std():.2f}\")" ] }, { "cell_type": "markdown", "id": "35de009e-e3e2-4889-b49b-60ac69195096", "metadata": {}, "source": [ "Looking at the histogram we can see adequate overlap of the distributions.\n", "We can quantify their similarity by computing an OT distance between them (\"Double Sinkhorn\").\n", "One can see that it's close to zero." ] }, { "cell_type": "code", "execution_count": 19, "id": "11dd04d0-e22c-4d8a-a425-32d08acec79e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.89e-03\n" ] } ], "source": [ "import ot\n", "\n", "print(f\"{ot.lp.emd2_1d(dist_tt_ref, dist_ref_ref):.2e}\")\n", "# Wasserstein distance between distributions of distances" ] } ], "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }