Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors

@article{Chopin2012FreeEM,
title={Free energy methods for Bayesian inference: efficient exploration of univariate Gaussian mixture posteriors},
author={Nicolas Chopin and Tony Leli{\`e}vre and Gabriel Stoltz},
journal={Statistics and Computing},
year={2012},
volume={22},
pages={897-916}
}

Because of their multimodality, mixture posterior distributions are difficult to sample with standard Markov chain Monte Carlo (MCMC) methods. We propose a strategy to enhance the sampling of MCMC in this context, using a biasing procedure which originates from computational Statistical Physics. The principle is first to choose a “reaction coordinate”, that is, a “direction” in which the target distribution is multimodal. In a second step, the marginal log-density of the reaction coordinate… CONTINUE READING