{ "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": "2024-05-17T04:30:58.181437Z", "iopub.status.busy": "2024-05-17T04:30:58.180806Z", "iopub.status.idle": "2024-05-17T04:30:59.603217Z", "shell.execute_reply": "2024-05-17T04:30:59.602378Z" } }, "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": "2024-05-17T04:30:59.610067Z", "iopub.status.busy": "2024-05-17T04:30:59.609720Z", "iopub.status.idle": "2024-05-17T04:30:59.614291Z", "shell.execute_reply": "2024-05-17T04:30:59.613564Z" } }, "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": "2024-05-17T04:30:59.620375Z", "iopub.status.busy": "2024-05-17T04:30:59.620107Z", "iopub.status.idle": "2024-05-17T04:30:59.624464Z", "shell.execute_reply": "2024-05-17T04:30:59.623670Z" } }, "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": "2024-05-17T04:30:59.628308Z", "iopub.status.busy": "2024-05-17T04:30:59.628042Z", "iopub.status.idle": "2024-05-17T04:30:59.832179Z", "shell.execute_reply": "2024-05-17T04:30:59.831384Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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": "2024-05-17T04:30:59.874961Z", "iopub.status.busy": "2024-05-17T04:30:59.874348Z", "iopub.status.idle": "2024-05-17T04:30:59.881423Z", "shell.execute_reply": "2024-05-17T04:30:59.880466Z" } }, "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": "2024-05-17T04:30:59.884899Z", "iopub.status.busy": "2024-05-17T04:30:59.884431Z", "iopub.status.idle": "2024-05-17T04:30:59.890363Z", "shell.execute_reply": "2024-05-17T04:30:59.889538Z" } }, "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": "2024-05-17T04:30:59.893383Z", "iopub.status.busy": "2024-05-17T04:30:59.893162Z", "iopub.status.idle": "2024-05-17T04:35:54.709937Z", "shell.execute_reply": "2024-05-17T04:35:54.708805Z" } }, "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)= -138.95324664595026 +/- 0.10824778804577295 \n", " analysing data from /tmp/tmppmjdeaci/.txt\n", " Total Likelihood Evaluations: 5430\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": "2024-05-17T04:35:54.717286Z", "iopub.status.busy": "2024-05-17T04:35:54.716908Z", "iopub.status.idle": "2024-05-17T04:35:54.722071Z", "shell.execute_reply": "2024-05-17T04:35:54.721438Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "========================================\n", "bilby_mcmc\n", "========================================\n", "nsamples: 1822\n", "ln_noise_evidence: nan\n", "ln_evidence: -136.140 +/- 0.030\n", "ln_bayes_factor: nan +/- 0.030\n", "\n", "========================================\n", "dynesty\n", "========================================\n", "nsamples: 1371\n", "ln_noise_evidence: nan\n", "ln_evidence: -138.894 +/- 0.135\n", "ln_bayes_factor: nan +/- 0.135\n", "\n", "========================================\n", "pymultinest\n", "========================================\n", "nsamples: 1714\n", "ln_noise_evidence: nan\n", "ln_evidence: -138.953 +/- 0.108\n", "ln_bayes_factor: nan +/- 0.108\n", "\n", "========================================\n", "nestle\n", "========================================\n", "nsamples: 4345\n", "ln_noise_evidence: nan\n", "ln_evidence: -138.951 +/- 0.108\n", "ln_bayes_factor: nan +/- 0.108\n", "\n", "========================================\n", "emcee\n", "========================================\n", "nsamples: 8620\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: -143.040 +/- 20.259\n", "ln_bayes_factor: nan +/- 20.259\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": "2024-05-17T04:35:54.729682Z", "iopub.status.busy": "2024-05-17T04:35:54.729151Z", "iopub.status.idle": "2024-05-17T04:35:56.746327Z", "shell.execute_reply": "2024-05-17T04:35:56.744200Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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": "2024-05-17T04:35:56.755306Z", "iopub.status.busy": "2024-05-17T04:35:56.754240Z", "iopub.status.idle": "2024-05-17T04:36:00.804788Z", "shell.execute_reply": "2024-05-17T04:36:00.803889Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "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 }