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Diagnostics for Variational Bayes approximations

2013/09/19 by Hui Zhao, Zhao, Hui, Paul Marriott +1
Chemistry · Computer Science · Mathematics · #Advanced Statistical Methods and Models #Blind Source Separation Techniques #Spectroscopy and Chemometric Analyses #stat.CO

paper · pdf · doi:10.48550/arxiv.1309.5117

submitted

arxiv created 2013/09/19 · arxiv updated 2013/09/23

Abstract

Variational Bayes (VB) has shown itself to be a powerful approximation method in many application areas. This paper describes some diagnostics methods which can assess how well the VB approximates the true posterior, particularly with regards to its covariance structure. The methods proposed also allow us to generate simple corrections when the approximation error is large. It looks at joint, marginal and conditional aspects of the approximate posterior and shows how to apply these techniques in both simulated and real data examples.

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