An Empirical Study of MDL Model Selection with Infinite Parametric Complexity

dc.creatorde Rooij, Steven
dc.creatorGrunwald, Peter
dc.date2005-01-14
dc.date.accessioned2026-07-07T08:17:44Z
dc.date.available2026-07-07T08:17:44Z
dc.descriptionParametric complexity is a central concept in MDL model selection. In practice it often turns out to be infinite, even for quite simple models such as the Poisson and Geometric families. In such cases, MDL model selection as based on NML and Bayesian inference based on Jeffreys' prior can not be used. Several ways to resolve this problem have been proposed. We conduct experiments to compare and evaluate their behaviour on small sample sizes. We find interestingly poor behaviour for the plug-in predictive code; a restricted NML model performs quite well but it is questionable if the results validate its theoretical motivation. The Bayesian model with the improper Jeffreys' prior is the most dependable.
dc.description23 pages, 11 graphs
dc.identifierhttps://arxiv.org/abs/cs/0501028
dc.identifierhttp://arxiv.org/abs/cs/0501028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134192
dc.subjectMachine Learning
dc.subjectInformation Theory
dc.subjectE.3; G.4
dc.titleAn Empirical Study of MDL Model Selection with Infinite Parametric Complexity
dc.typetext

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