Prior-predictive value from fast growth simulations

Physics – Data Analysis – Statistics and Probability

Scientific paper

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8 pages, 11 figures

Scientific paper

10.1140/epjb/e2008-00165-2

Building on a variant of the Jarzynski equation we propose a new method to numerically determine the prior-predictive value in a Bayesian inference problem. The method generalizes thermodynamic integration and is not hampered by equilibration problems. We demonstrate its operation by applying it to two simple examples and elucidate its performance. In the case of multi-modal posterior distributions the performance is superior to thermodynamic integration.

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