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Bayesian inference of the number of factors in gene-expression analysis: application to human virus challenge studies
Authors:Bo Chen  Minhua Chen  John Paisley  Aimee Zaas  Christopher Woods  Geoffrey S Ginsburg  III" target="_blank">Alfred HeroIII  Joseph Lucas  David Dunson  Lawrence Carin
Institution:1.Electrical and Computer Engineering Department,Duke University,Durham,USA;2.Institute for Genome Sciences & Policy,Department of Medicine Duke University,Durham,USA;3.Electrical & Computer Engineering Department,University of Michigan,Ann Arbor,USA;4.Statistics Department,Duke University,Durham,USA
Abstract:

Background  

Nonparametric Bayesian techniques have been developed recently to extend the sophistication of factor models, allowing one to infer the number of appropriate factors from the observed data. We consider such techniques for sparse factor analysis, with application to gene-expression data from three virus challenge studies. Particular attention is placed on employing the Beta Process (BP), the Indian Buffet Process (IBP), and related sparseness-promoting techniques to infer a proper number of factors. The posterior density function on the model parameters is computed using Gibbs sampling and variational Bayesian (VB) analysis.
Keywords:
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