On Expectation Propagation and the Probabilistic Editor in some simple mixture problems

Fuente: arXiv
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Autores principales: Hjort, Nils Lid, Titterington, Mike
Formato: Preprint
Publicado: 2026
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author Hjort, Nils Lid
Titterington, Mike
author_facet Hjort, Nils Lid
Titterington, Mike
contents As for other latent-variable problems, exact Bayesian analysis is typically not practicable for mixture problems and approximate methods have been developed. Variational Bayes tends to produce approximate posterior distributions for parameters that are too tightly concentrated in having variances that are too small. The paper identifies a few mixture problems in which Expectation Propagation and variations thereof lead to approximate posterior distributions that asymptotically exhibit `correct' variances and therefore stand to provide reliable interval estimates for the unknown parameter or parameters.
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id arxiv_https___arxiv_org_abs_2602_19709
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On Expectation Propagation and the Probabilistic Editor in some simple mixture problems
Hjort, Nils Lid
Titterington, Mike
Statistics Theory
As for other latent-variable problems, exact Bayesian analysis is typically not practicable for mixture problems and approximate methods have been developed. Variational Bayes tends to produce approximate posterior distributions for parameters that are too tightly concentrated in having variances that are too small. The paper identifies a few mixture problems in which Expectation Propagation and variations thereof lead to approximate posterior distributions that asymptotically exhibit `correct' variances and therefore stand to provide reliable interval estimates for the unknown parameter or parameters.
title On Expectation Propagation and the Probabilistic Editor in some simple mixture problems
topic Statistics Theory
url https://arxiv.org/abs/2602.19709