JSM 2004 - Toronto

Abstract #301595

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Activity Number: 440
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #301595
Title: On Real-parameter Evolutionary Monte Carlo Algorithm
Author(s): Gopika R. Goswami*+
Companies: Harvard University
Address: Science Center, 7th Floor, Cambridge, MA, 02138,
Keywords: exchange operation ; cross-over operation ; Markov chain Monte Carlo ; Real-parameter Evolutionary Monte Carlo ; snooker algorithm ; temperature ladder
Abstract:

Real-parameter Evolutionary Monte Carlo algorithm (EMC) has been proposed as an effective method not only for sampling from multi-modal distributions but also for stochastic optimization. The authors have shown by various well-chosen examples that it works better than parallel tempering, it has a certain ability to learn from the past and it improves mixing by sampling along a temperature ladder. Our goal is to improve the performance of this method and provide some practical implementation guidelines. First, we introduce some new exchange moves which equips the algorithm with more learning capability and makes it faster while preserving the quality of the samples (as measured by integrated autocorrelation time) produced from the target distribution. Second, we introduce some premiliminary run based tools for contructing the temperature ladder. Lastly, we generalize a result originally proved about the validity of the conditional (or line) sampling step in the context of the snooker algorithm which is a type of move involved in the EMC.


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