{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Compare samplers\n", "\n", "In this notebook, we'll compare the different samplers implemented in `Bilby` on a simple linear regression problem.\n", "\n", "This is not an exhaustive set of the implemented samplers, nor of the settings available for each sampler.\n", "\n", "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:55.195678Z", "iopub.status.busy": "2024-05-20T23:16:55.195219Z", "iopub.status.idle": "2024-05-20T23:16:56.713253Z", "shell.execute_reply": "2024-05-20T23:16:56.712283Z" } }, "outputs": [], "source": [ "import bilby\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:56.717647Z", "iopub.status.busy": "2024-05-20T23:16:56.717055Z", "iopub.status.idle": "2024-05-20T23:16:56.721335Z", "shell.execute_reply": "2024-05-20T23:16:56.720401Z" } }, "outputs": [], "source": [ "label = \"linear_regression\"\n", "outdir = \"outdir\"\n", "bilby.utils.check_directory_exists_and_if_not_mkdir(outdir)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define our model\n", "\n", "Here our model is a simple linear fit to some quantity $y = m x + c$." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:56.725712Z", "iopub.status.busy": "2024-05-20T23:16:56.724691Z", "iopub.status.idle": "2024-05-20T23:16:56.730566Z", "shell.execute_reply": "2024-05-20T23:16:56.729596Z" } }, "outputs": [], "source": [ "def model(x, m, c):\n", " return x * m + c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulate data\n", "\n", "We simulate observational data.\n", "We assume some uncertainty in the observations and so perturb the observations from the truth." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:56.734055Z", "iopub.status.busy": "2024-05-20T23:16:56.733629Z", "iopub.status.idle": "2024-05-20T23:16:57.036944Z", "shell.execute_reply": "2024-05-20T23:16:57.036169Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "injection_parameters = dict(m=0.5, c=0.2)\n", "\n", "sampling_frequency = 10\n", "time_duration = 10\n", "time = np.arange(0, time_duration, 1 / sampling_frequency)\n", "N = len(time)\n", "sigma = np.random.normal(1, 0.01, N)\n", "data = model(time, **injection_parameters) + np.random.normal(0, sigma, N)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(time, data, \"x\", label=\"Data\")\n", "ax.plot(time, model(time, **injection_parameters), \"--r\", label=\"Truth\")\n", "ax.set_xlim(0, 10)\n", "ax.set_ylim(-2, 8)\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "ax.legend()\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the likelihood and prior\n", "\n", "For any Bayesian calculation we need a likelihood and a prior.\n", "\n", "In this case, we take a `GausianLikelihood` as we assume the uncertainty on the data is normally distributed.\n", "\n", "For both of our parameters we take uniform priors." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:57.084218Z", "iopub.status.busy": "2024-05-20T23:16:57.083830Z", "iopub.status.idle": "2024-05-20T23:16:57.088347Z", "shell.execute_reply": "2024-05-20T23:16:57.087639Z" } }, "outputs": [], "source": [ "likelihood = bilby.likelihood.GaussianLikelihood(time, data, model, sigma)\n", "\n", "priors = bilby.core.prior.PriorDict()\n", "priors[\"m\"] = bilby.core.prior.Uniform(0, 5, \"m\")\n", "priors[\"c\"] = bilby.core.prior.Uniform(-2, 2, \"c\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run the samplers and compare the inferred posteriors\n", "\n", "We'll use four of the implemented samplers.\n", "\n", "For each one we specify a set of parameters.\n", "\n", "`Bilby`/the underlying samplers produce quite a lot of output while the samplers are running so we will suppress as many of these as possible.\n", "\n", "After running the analysis, we print a final summary for each of the samplers." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:57.092973Z", "iopub.status.busy": "2024-05-20T23:16:57.092450Z", "iopub.status.idle": "2024-05-20T23:16:57.097949Z", "shell.execute_reply": "2024-05-20T23:16:57.096684Z" } }, "outputs": [], "source": [ "samplers = dict(\n", " bilby_mcmc=dict(\n", " nsamples=1000,\n", " L1steps=20,\n", " ntemps=10,\n", " printdt=10,\n", " ),\n", " dynesty=dict(npoints=500, sample=\"acceptance-walk\", naccept=20),\n", " pymultinest=dict(nlive=500),\n", " nestle=dict(nlive=500),\n", " emcee=dict(nwalkers=20, iterations=500),\n", " ptemcee=dict(ntemps=10, nwalkers=20, nsamples=1000),\n", ")\n", "\n", "results = dict()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:16:57.101919Z", "iopub.status.busy": "2024-05-20T23:16:57.101570Z", "iopub.status.idle": "2024-05-20T23:19:56.776897Z", "shell.execute_reply": "2024-05-20T23:19:56.776004Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " *****************************************************\n", " MultiNest v3.10\n", " Copyright Farhan Feroz & Mike Hobson\n", " Release Jul 2015\n", "\n", " no. of live points = 500\n", " dimensionality = 2\n", " *****************************************************\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ " ln(ev)= -145.09244673403381 +/- 0.10611029229718430 \n", " analysing data from /tmp/tmp8p28lprn/.txt\n", " Total Likelihood Evaluations: 5856\n", " Sampling finished. Exiting MultiNest\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "bilby.core.utils.logger.setLevel(\"ERROR\")\n", "\n", "for sampler in samplers:\n", " result = bilby.core.sampler.run_sampler(\n", " likelihood,\n", " priors=priors,\n", " sampler=sampler,\n", " label=sampler,\n", " resume=False,\n", " clean=True,\n", " verbose=False,\n", " **samplers[sampler]\n", " )\n", " results[sampler] = result" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:19:56.782262Z", "iopub.status.busy": "2024-05-20T23:19:56.781882Z", "iopub.status.idle": "2024-05-20T23:19:56.786866Z", "shell.execute_reply": "2024-05-20T23:19:56.786186Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "========================================\n", "bilby_mcmc\n", "========================================\n", "nsamples: 1418\n", "ln_noise_evidence: nan\n", "ln_evidence: -142.427 +/- 0.041\n", "ln_bayes_factor: nan +/- 0.041\n", "\n", "========================================\n", "dynesty\n", "========================================\n", "nsamples: 1331\n", "ln_noise_evidence: nan\n", "ln_evidence: -145.319 +/- 0.136\n", "ln_bayes_factor: nan +/- 0.136\n", "\n", "========================================\n", "pymultinest\n", "========================================\n", "nsamples: 1767\n", "ln_noise_evidence: nan\n", "ln_evidence: -145.092 +/- 0.106\n", "ln_bayes_factor: nan +/- 0.106\n", "\n", "========================================\n", "nestle\n", "========================================\n", "nsamples: 4385\n", "ln_noise_evidence: nan\n", "ln_evidence: -145.383 +/- 0.109\n", "ln_bayes_factor: nan +/- 0.109\n", "\n", "========================================\n", "emcee\n", "========================================\n", "nsamples: 8560\n", "ln_noise_evidence: nan\n", "ln_evidence: nan +/- nan\n", "ln_bayes_factor: nan +/- nan\n", "\n", "========================================\n", "ptemcee\n", "========================================\n", "nsamples: 1020\n", "ln_noise_evidence: nan\n", "ln_evidence: -149.385 +/- 19.461\n", "ln_bayes_factor: nan +/- 19.461\n", "\n", "========================================\n" ] } ], "source": [ "print(\"=\" * 40)\n", "for sampler in results:\n", " print(sampler)\n", " print(\"=\" * 40)\n", " print(results[sampler])\n", " print(\"=\" * 40)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Make comparison plots\n", "\n", "We will make two standard comparison plots.\n", "\n", "In the first we plot the one- and two-dimensional marginal posterior distributions in a \"corner\" plot.\n", "\n", "In the second, we show the inferred model that we are fitting along with the uncertainty by taking random draws from the posterior distribution.\n", "This kind of posterior predicitive plot is useful to identify model misspecification." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:19:56.790281Z", "iopub.status.busy": "2024-05-20T23:19:56.789954Z", "iopub.status.idle": "2024-05-20T23:19:58.453828Z", "shell.execute_reply": "2024-05-20T23:19:58.453105Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 550x550 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_ = bilby.core.result.plot_multiple(\n", " list(results.values()), labels=list(results.keys()), save=False\n", ")\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-05-20T23:19:58.456537Z", "iopub.status.busy": "2024-05-20T23:19:58.456250Z", "iopub.status.idle": "2024-05-20T23:20:01.442099Z", "shell.execute_reply": "2024-05-20T23:20:01.441286Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1200x800 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12, 8))\n", "ax.plot(time, data, \"x\", label=\"Data\", color=\"r\")\n", "ax.plot(\n", " time, model(time, **injection_parameters), linestyle=\"--\", color=\"k\", label=\"Truth\"\n", ")\n", "\n", "for jj, sampler in enumerate(samplers):\n", " result = results[sampler]\n", " samples = result.posterior[result.search_parameter_keys].sample(500)\n", " for ii in range(len(samples)):\n", " parameters = dict(samples.iloc[ii])\n", " plt.plot(time, model(time, **parameters), color=f\"C{jj}\", alpha=0.01)\n", " plt.axhline(-10, color=f\"C{jj}\", label=sampler.replace(\"_\", \" \"))\n", "ax.set_xlim(0, 10)\n", "ax.set_ylim(-2, 8)\n", "ax.set_xlabel(\"Time\")\n", "ax.set_ylabel(\"y\")\n", "ax.legend(loc=\"upper left\")\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.14" } }, "nbformat": 4, "nbformat_minor": 4 }