JSM 2005 - Toronto

Abstract #303876

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 476
Type: Topic Contributed
Date/Time: Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #303876
Title: Sequential Monte Carlo Methods for Static Problems
Author(s): Arnaud Doucet*+
Companies: Cambridge University
Address: Signal Processing, Dept. of Engineering, Cambridge, International, CB3 ODS, United Kingdom
Keywords: Sequential Monte Carlo ; Markov chain Monte Carlo ; Ratio of Normalizing constants ; Bayesian Estimation ; Bayes Factor
Abstract:

Sequential Monte Carlo (SMC) methods have been developed in the context of one interested in sampling from a sequence of distributions whose dimension is growing over time. We present a general SMC methodology to sample from a sequence of probability distributions defined on a common space (i.e., in cases where one traditionally uses Markov chain Monte Carlo [MCMC]). We propose to approximate these distributions by a large set of random samples, which evolves over time using simple sampling and resampling mechanisms. This methodology not only yields a whole set of principled algorithms to make parallel MCMC runs interact, but also provides new algorithms for sequential Bayesian estimation and global optimization. Additionally, new identities are obtained to estimate ratio of normalizing constants. This talk is illustrated by several examples arising in Bayesian inference. This is joint work with Pierre Del Moral and Gareth W. Peters.


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