[Statlist] Reminder : Next talk: Friday, December 2, 2016 with Martin Plummer, IARC Lyon, France

[Maurer Letizia]

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ETH and University of Zurich

Organisers:
Proff. P. Bühlmann - L. Held - T. Hothorn - M. Maathuis - N. Meinshausen - S. van de Geer - M. Wolf

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We are glad to announce the following talk:

Friday, December 2, 2016 at 15.15h  ETH Zurich HG G19.1G E 41
with Martin Plummer, IARC Lyon, France
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Title:

A Bayesian Information Criterion for Singular Models<https://www.math.ethz.ch/sfs/news-and-events/research-seminar.html?s=hs16#e_9069>
<https://www.math.ethz.ch/sfs/news-and-events/research-seminar.html?s=hs16#e_9069>

Abstract:

We consider approximate Bayesian model choice for model selection problems that involve models whose Fisher information matrices may fail to be invertible along other competing submodels. Such singular models do not obey the regularity conditions underlying the derivation of Schwarz’s Bayesian information criterion (BIC) and the penalty structure in BIC generally does not reflect the frequentist large sample behaviour of their marginal likelihood. Although large sample theory for the marginal likelihood of singular models has been developed recently, the resulting approximations depend on the true parameter value and lead to a paradox of circular reasoning. Guided by examples such as determining the number of components of mixture models, the number of factors in latent factor models or the rank in reduced rank regression, we propose a resolution to this paradox and give a practical extension of BIC for singular model selection problems.


This abstract is also to be found under the following link: http://stat.ethz.ch/events/research_seminar

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