{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "26195275", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "id": "b99fd1f4", "metadata": {}, "source": [ "# Confidence Distribution Construction" ] }, { "cell_type": "markdown", "id": "591cff85", "metadata": {}, "source": [ "## INTRO & SETTINGS" ] }, { "cell_type": "markdown", "id": "813c2dff", "metadata": {}, "source": [ "The goal of this tutorial is to show the capabilities of `lf2i` and the `posterior` test statistic with a simple example: inferring the mean $\\theta \\in \\mathbb{R}^{2}$ of a Gaussian model with fixed covariance, and a Gaussian prior distribution\n", "\n", "$$\\boldsymbol{\\theta} \\sim \\mathcal{N}(\\mathbb{0}, 0.1 \\cdot \\mathbb{I}), \\\\ \\text{ } \\mathbf{X}|\\boldsymbol{\\theta} \\sim \\mathcal{N}(\\boldsymbol{\\theta}, 0.01 \\cdot \\mathbb{I})$$\n", "\n", "In addition, we assume that we only observe one sample for each true $\\boldsymbol{\\theta}$, i.e., $n=1$.\n", "For this tutorial, we leverage a posterior estimator (`SNPE` from the `sbi` library) as the main underlying inferential model." ] }, { "cell_type": "code", "execution_count": 2, "id": "1cdb34ae", "metadata": {}, "outputs": [], "source": [ "# SETTINGS\n", "\n", "LIKELIHOOD_COV = 0.01\n", "PRIOR_LOC = 0\n", "PRIOR_COV = 0.1\n", "\n", "PARAM_DIM = 2\n", "DATA_DIM = 2\n", "BATCH_SIZE = 1 # assume we get to see only one observed sample for each \u201ctrue\u201d parameter\n", "PARAM_SPACE_BOUNDS = {'low': -1.5, 'high': 1.5} # a grid of points over [low, high]^(param_dim) is used to construct confidence sets\n", "\n", "CONFIDENCE_LEVEL = 0.90" ] }, { "cell_type": "markdown", "id": "6f3bbb72", "metadata": {}, "source": [ "## DATA GENERATION" ] }, { "cell_type": "markdown", "id": "a00c3612", "metadata": {}, "source": [ "Let's start from the simulator, which is used internally to generate data needed to\n", "1. estimate the test statistics;\n", "2. estimate the critical values; and\n", "3. diagnose the constructed confidence regions" ] }, { "cell_type": "code", "execution_count": 3, "id": "b37fb82f", "metadata": {}, "outputs": [], "source": [ "from lf2i.simulator.gaussian import GaussianMean" ] }, { "cell_type": "code", "execution_count": 4, "id": "8d877f6d", "metadata": {}, "outputs": [], "source": [ "simulator = GaussianMean(\n", " likelihood_cov=LIKELIHOOD_COV,\n", " prior='gaussian',\n", " poi_space_bounds=PARAM_SPACE_BOUNDS,\n", " poi_grid_size=10_000,\n", " poi_dim=PARAM_DIM, \n", " data_dim=DATA_DIM,\n", " batch_size=BATCH_SIZE,\n", " prior_kwargs={'loc': PRIOR_LOC, 'cov': PRIOR_COV}\n", ")" ] }, { "cell_type": "code", "execution_count": 40, "id": "3d094b5e", "metadata": {}, "outputs": [], "source": [ "b_params, b_samples = simulator.simulate_for_test_statistic(20_000, estimation_method='likelihood')\n", "b_prime_params, b_prime_samples = simulator.simulate_for_critical_values(10_000)\n", "\n", "b_samples = b_samples.reshape(-1, DATA_DIM)\n", "b_prime_samples = b_prime_samples.reshape(-1, DATA_DIM)" ] }, { "cell_type": "markdown", "id": "9fadc750", "metadata": {}, "source": [ "#### Observations" ] }, { "cell_type": "markdown", "id": "c43879f2", "metadata": {}, "source": [ "For simplicity, let's use the simulator to generate two \u201cobserved\u201d samples from the true likelihood: one consistent with the prior ($\\boldsymbol{\\theta}^{\\star} = [0, 0]$) and one not ($\\boldsymbol{\\theta}^{\\star} = [-1.45, 1.45]$)" ] }, { "cell_type": "code", "execution_count": 37, "id": "528e5f44", "metadata": {}, "outputs": [], "source": [ "import torch\n", "\n", "true_param_consistent, true_param_notconsistent = torch.Tensor([0, 0]), torch.Tensor([-1.45, 1.45])\n", "observed_x_consistent = simulator.likelihood(true_param_consistent).sample(sample_shape=(BATCH_SIZE, ))\n", "observed_x_notconsistent = simulator.likelihood(true_param_notconsistent).sample(sample_shape=(BATCH_SIZE, ))" ] }, { "cell_type": "markdown", "id": "7288badd", "metadata": {}, "source": [ "## A FREQUENTIST CONFIDENCE PROCEDURE" ] }, { "cell_type": "markdown", "id": "e6a0820a", "metadata": {}, "source": [ "Assume we want to do inference on the Gaussian mean by estimating its posterior distribution. `Posterior` allows to leverage a neural posterior estimator like `SNPE` to obtain a confidence region for the parameter of interest that is guaranteed to have the desired level of coverage regardless of \n", "1. the prior distribution;\n", "2. the true value of the parameter;\n", "3. the size of the observed sample\n", "\n", "The prediction algorithm can be pre-trained or not. The example below assumes the estimator has not been trained yet\n", "\n", "**Note**: We require that posterior-based methods receive estimators whose interface matches one of `AbstractNeuralPosterior` or `AbstractNeuralPosteriorTrainer` from the `lf2i.estimators.base_posteriors` module." ] }, { "cell_type": "code", "execution_count": 38, "id": "3f836f94", "metadata": {}, "outputs": [], "source": [ "from lf2i.inference import LF2I\n", "from lf2i.test_statistics import Posterior\n", "from lf2i.utils.other_methods import hpd_region\n", "from lf2i.plot.parameter_regions import (\n", " plot_parameter_regions,\n", " plot_parameter_intervals,\n", " parameter_regions_pairplot,\n", ")\n", "\n", "from sbi.inference import SNPE" ] }, { "cell_type": "code", "execution_count": 44, "id": "d62ae147", "metadata": {}, "outputs": [], "source": [ "lf2i = LF2I(\n", " test_statistic=Posterior(\n", " estimator=SNPE(),\n", " poi_dim=PARAM_DIM\n", " )\n", ")" ] }, { "cell_type": "markdown", "id": "944c53a2", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method.\n", "\n", "As we proceed with the construction using p-values, we will rely on the default neural network-based CDF estimator, a semiparametric model proscribing the sigmoid distribution to the conditional sampling distribution of the posterior test statistic for each condition, $\\theta$." ] }, { "cell_type": "code", "execution_count": 45, "id": "3b775fbd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimating test statistic ...\n", " Neural network successfully converged after 72 epochs.\n", "Calibration ...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Evaluating posterior for 10000 points ...: 100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 10000/10000 [05:22<00:00, 30.99it/s] \n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Retraining calibration...\n", " [calibration] CDF estimator \u2014 augment_kwargs ignored.\n", " [calibration] CDF estimator: fitting on 10000 raw (T, \u03b8) pairs.\n", "\n", "Constructing confidence sets ...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Evaluating posterior for 2 points ...: 100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 2/2 [00:00<00:00, 5.82it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Computing p-values...\n", "\n", "Creating set 0...\n" ] } ], "source": [ "confidence_region = lf2i.inference(\n", " x=torch.vstack((observed_x_consistent, observed_x_notconsistent)).reshape(-1, DATA_DIM),\n", " evaluation_grid=simulator.poi_grid,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " calibration_method='p-values',\n", " calibration_model='nn',\n", " T=(b_params, b_samples),\n", " T_prime=(b_prime_params, b_prime_samples)\n", ")" ] }, { "cell_type": "markdown", "id": "25cdab9a", "metadata": {}, "source": [ "### Observation consistent with the prior" ] }, { "cell_type": "markdown", "id": "0c1942b8", "metadata": {}, "source": [ "LF2I Confidence Region" ] }, { "cell_type": "code", "execution_count": 46, "id": "f18b2283", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:427: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# The red star in the plot is the true parameter\n", "\n", "plot_parameter_regions(\n", " confidence_region[0],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_consistent,\n", " param_names=[r'$\\theta_0$', r'$\\theta_1$'],\n", " parameter_space_bounds={r'$\\theta_0$': simulator.poi_space_bounds, r'$\\theta_1$': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['mediumseagreen'],\n", " region_names=['LF2I confidence set']\n", ")" ] }, { "cell_type": "markdown", "id": "eab56c5e", "metadata": {}, "source": [ "Posterior Credible Region" ] }, { "cell_type": "code", "execution_count": 47, "id": "40be82b8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:427: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " hpd_region(\n", " posterior=lf2i.test_statistic.estimator,\n", " param_grid=simulator.poi_grid,\n", " x=observed_x_consistent,\n", " credible_level=CONFIDENCE_LEVEL\n", " )[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_consistent,\n", " param_names=[r'$\\theta_0$', r'$\\theta_1$'],\n", " parameter_space_bounds={r'$\\theta_0$': simulator.poi_space_bounds, r'$\\theta_1$': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['blue'],\n", " region_names=['Posterior credible set']\n", ")" ] }, { "cell_type": "markdown", "id": "d3ef22a2", "metadata": {}, "source": [ "### Observation *not* consistent with the prior" ] }, { "cell_type": "markdown", "id": "16ecf0f3", "metadata": {}, "source": [ "LF2I Confidence Region" ] }, { "cell_type": "code", "execution_count": 48, "id": "551a5dce", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:427: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " confidence_region[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_notconsistent,\n", " param_names=[r'$\\theta_0$', r'$\\theta_1$'],\n", " parameter_space_bounds={r'$\\theta_0$': simulator.poi_space_bounds, r'$\\theta_1$': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['mediumseagreen'],\n", " region_names=['LF2I confidence set']\n", ")" ] }, { "cell_type": "markdown", "id": "b2fda178", "metadata": {}, "source": [ "Posterior Credible Region" ] }, { "cell_type": "code", "execution_count": 49, "id": "502ebc69", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/jet/home/jcarzon/probabilistic-regression/submodule/lf2i/src/lf2i/plot/parameter_regions.py:427: UserWarning: Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\n", " warnings.warn(\"Contour might be unreliable if alpha is not chosen properly. Please plot scatter as well, and choose alpha appropriately (try from 1 to 20).\")\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_parameter_regions(\n", " hpd_region(\n", " posterior=lf2i.test_statistic.estimator,\n", " param_grid=simulator.poi_grid,\n", " x=observed_x_notconsistent,\n", " credible_level=CONFIDENCE_LEVEL\n", " )[1],\n", " param_dim=PARAM_DIM,\n", " true_parameter=true_param_notconsistent,\n", " param_names=[r'$\\theta_0$', r'$\\theta_1$'],\n", " parameter_space_bounds={r'$\\theta_0$': simulator.poi_space_bounds, r'$\\theta_1$': simulator.poi_space_bounds},\n", " alpha_shape=True, # contour,\n", " alpha=2, # hyperparameter for contour (the lower, the more it converges to a convex hull)\n", " scatter=False, # don't plot evaluation points\n", " figsize=(7.5, 7.5),\n", " colors=['blue'],\n", " region_names=['Posterior credible set']\n", ")" ] }, { "cell_type": "markdown", "id": "6336f39a", "metadata": {}, "source": [ "# ESTIMATED COVERAGE" ] }, { "cell_type": "code", "execution_count": 64, "id": "9f04441f", "metadata": {}, "outputs": [], "source": [ "from lf2i.plot.coverage_diagnostics import coverage_probability_plot\n", "\n", "T_double_prime = simulator.simulate_for_diagnostics(10_000)" ] }, { "cell_type": "markdown", "id": "e5aae96d", "metadata": {}, "source": [ "#### Posterior Credible Regions" ] }, { "cell_type": "markdown", "id": "3be66ea3", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method." ] }, { "cell_type": "code", "execution_count": 67, "id": "1179ba5e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Computing indicators for 10000 credible regions: 100%|\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588\u2588| 10000/10000 [06:27<00:00, 25.83it/s]\n" ] } ], "source": [ "# this will take a few minutes because it has to compute a HPD credible region for each pair of (theta, x) in the simulated set\n", "# the code is parallelized, but one can make it faster by decreasing the argument num_p_levels, which controls the number of level sets examined to construct the HPD region\n", "# note that this might cause the credibility level of the HPD region to be only approximately equal to CONFIDENCE LEVEL\n", "diagnostic_estimator, parameters, mean_proba, upper_proba, lower_proba, sizes = lf2i.coverage(\n", " region_type='posterior',\n", " T_double_prime=T_double_prime,\n", " evaluation_grid=simulator.poi_grid.reshape(-1, PARAM_DIM),\n", " confidence_level=CONFIDENCE_LEVEL,\n", " posterior_estimator=lf2i.test_statistic.estimator,\n", " n_jobs=8\n", ")" ] }, { "cell_type": "markdown", "id": "93cfc858", "metadata": {}, "source": [ "Coverage of posterior credible regions can be very erratic: they tend to overcover close to the \u201cbulk\u201d of the prior and severely undercover far from it. The correct level here is 90%" ] }, { "cell_type": "code", "execution_count": 68, "id": "ba6c78ea", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coverage_probability_plot(\n", " parameters=parameters,\n", " coverage_probability=mean_proba, \n", " upper_proba=None,\n", " lower_proba=None,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " param_dim=PARAM_DIM,\n", " figsize=(12, 12)\n", ")" ] }, { "cell_type": "markdown", "id": "f0cabafa", "metadata": {}, "source": [ "#### LF2I Confidence Regions" ] }, { "cell_type": "markdown", "id": "9e669b1c", "metadata": {}, "source": [ "Note that for this example we are using the simulator to obtain training datasets. If one has pre-simulated datasets, they can be given as inputs directly to the `inference` method." ] }, { "cell_type": "code", "execution_count": 65, "id": "e8e57ef0", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/var/tmp/ipykernel_84439/243216418.py:1: DeprecationWarning: LF2I.diagnostics() is deprecated and will be removed in a future release. Use LF2I.coverage() instead.\n", " diagnostic_estimator, parameters, mean_proba, upper_proba, lower_proba = lf2i.diagnostics(\n", "Evaluating posterior for 10000 points ...: 0%| | 0/10000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coverage_probability_plot(\n", " parameters=parameters,\n", " coverage_probability=mean_proba, \n", " upper_proba=None,\n", " lower_proba=None,\n", " confidence_level=CONFIDENCE_LEVEL,\n", " param_dim=PARAM_DIM,\n", " figsize=(12, 10)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "tsi", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }