{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Inference: Differential Evolution (DE) MCMC\n", "\n", "This example shows you how to perform Bayesian inference on a time series, using [Differential Evolution MCMC](http://pints.readthedocs.io/en/latest/mcmc_samplers/differential_evolution_mcmc.html).\n", "\n", "It follows on from the [first sampling example](./sampling-first-example.ipynb)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running...\n", "Done!\n", "R-hat:\n", "[1.0007139492147361, 1.0001510918766234, 1.0005759053385725]\n" ] }, { "data": { "image/png": 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H2dNsKvAo8Lwx5k03htipbqcXwV2r/43P80rwv1aDWKdzoSO/gFbT1oU/IzRs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\nvhCyWSwWi2X5IiLD0X+viLx7gff9L2fMP7SQ+7dYlhs2TLvFcgmIyLAxJ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xHSMA4Tfgi0auEZ7mX0NQfo+cRnnWSHsjivsdYHjAVPaF5+Sgye7tkJRSSnlB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KeFK4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Udu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\ne6/RaDSa8OX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from __future__ import print_function\n", "import pints\n", "import pints.toy as toy\n", "import pints.plot\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Load a forward model\n", "model = toy.LogisticModel()\n", "\n", "# Create some toy data\n", "real_parameters = [0.015, 500]\n", "times = np.linspace(0, 1000, 1000)\n", "org_values = model.simulate(real_parameters, times)\n", "\n", "# Add noise\n", "noise = 10\n", "values = org_values + np.random.normal(0, noise, org_values.shape)\n", "real_parameters = np.array(real_parameters + [noise])\n", "\n", "# Get properties of the noise sample\n", "noise_sample_mean = np.mean(values - org_values)\n", "noise_sample_std = np.std(values - org_values)\n", "\n", "# Create an object with links to the model and time series\n", "problem = pints.SingleOutputProblem(model, times, values)\n", "\n", "# Create a log-likelihood function (adds an extra parameter!)\n", "log_likelihood = pints.GaussianLogLikelihood(problem)\n", "\n", "# Create a uniform prior over both the parameters and the new noise variable\n", "log_prior = pints.UniformLogPrior(\n", " [0.01, 400, noise * 0.1],\n", " [0.02, 600, noise * 100],\n", ")\n", "\n", "# Create a posterior log-likelihood (log(likelihood * prior))\n", "log_posterior = pints.LogPosterior(log_likelihood, log_prior)\n", "\n", "# Choose starting points for 3 mcmc chains\n", "xs = [\n", " real_parameters * 1.1,\n", " real_parameters * 0.9,\n", " real_parameters * 1.15,\n", " real_parameters * 1.15,\n", " real_parameters * 1.05,\n", " real_parameters * 0.85,\n", "]\n", "\n", "# Create mcmc routine\n", "mcmc = pints.MCMCController(log_posterior, 6, xs, method=pints.DifferentialEvolutionMCMC)\n", "\n", "# Add stopping criterion\n", "mcmc.set_max_iterations(8000)\n", "\n", "# Disable logging\n", "mcmc.set_log_to_screen(False)\n", "\n", "# Set number of iterations between which gamma=1 (for a single iteration)\n", "mcmc.sampler().set_gamma_switch_rate(2000)\n", "\n", "# Set to uniform error process rather than normal\n", "mcmc.sampler().set_gaussian_error(False)\n", "\n", "# Run!\n", "print('Running...')\n", "chains = mcmc.run()\n", "print('Done!')\n", "\n", "# Check convergence using rhat criterion\n", "print('R-hat:')\n", "print(pints.rhat_all_params(chains))\n", "\n", "# Show traces and histograms\n", "pints.plot.trace(chains)\n", "\n", "# Discard warm up\n", "chains = chains[:, 5000:, :]\n", "\n", "# Apply thinning\n", "chains = chains[:, ::10, :]\n", "\n", "# Look at distribution in chain 0\n", "pints.plot.pairwise(chains[0], kde=True)\n", "\n", "# Show graphs\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }