Bayesian Analysis

Evolutionary stochastic search for Bayesian model exploration

Leonard Bottolo and Sylvia Richardson

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Implementing Bayesian variable selection for linear Gaussian regression models for analysing high dimensional data sets is of current interest in many fields. In order to make such analysis operational, we propose a new sampling algorithm based upon Evolutionary Monte Carlo and designed to work under the "large $p$, small $n$" paradigm, thus making fully Bayesian multivariate analysis feasible, for example, in genetics/genomics experiments. Two real data examples in genomics are presented, demonstrating the performance of the algorithm in a space of up to $10,000$ covariates. Finally the methodology is compared with a recently proposed search algorithms in an extensive simulation study.

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Bayesian Anal. Volume 5, Number 3 (2010), 583-618.

First available in Project Euclid: 22 June 2012

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Evolutionary Monte Carlo Fast Scan Metropolis-Hastings scheme linear Gaussian regression models variable selection


Bottolo, Leonard; Richardson, Sylvia. Evolutionary stochastic search for Bayesian model exploration. Bayesian Anal. 5 (2010), no. 3, 583--618. doi:10.1214/10-BA523.

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