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Abstract Details

Activity Number: 47
Type: Invited
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #303636
Title: Self-Learning Markov Chain Monte Carlo from a Large Deviations Point of View
Author(s): Jingchen Liu*+ and Xuan Yang and Henrik Hult
Companies: Columbia University and Columbia University and Royal Institute of Technology, Sweden
Address: 1255 Amsterdam Avenue, New York, NY, , United States
Keywords: MCMC ; large deviations ; Adaptive Monte Carlo
Abstract:

Measuring the convergence of Markov chains and comparing the efficiency among different MCMC schemes have been a long lasting problem. In this talk, we propose using the large deviations rate function as an efficiency measure of an MCMC scheme. This measure turns out to be consistent with the existing asymptotic results in literature. In addition, the proposed efficiency measure can be evaluated numerically by the Markov chain itself and thus can be combined with adaptive MCMC schemes.


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