Posterior marginalization accelerates Bayesian inference for dynamical models of biological processes.

Biological sciences Mathematical biosciences Systems biology

Journal

iScience
ISSN: 2589-0042
Titre abrégé: iScience
Pays: United States
ID NLM: 101724038

Informations de publication

Date de publication:
17 Nov 2023
Historique:
received: 05 04 2023
revised: 16 07 2023
accepted: 25 09 2023
medline: 23 10 2023
pubmed: 23 10 2023
entrez: 23 10 2023
Statut: epublish

Résumé

Bayesian inference is an important method in the life and natural sciences for learning from data. It provides information about parameter and prediction uncertainties. Yet, generating representative samples from the posterior distribution is often computationally challenging. Here, we present an approach that lowers the computational complexity of sample generation for dynamical models with scaling, offset, and noise parameters. The proposed method is based on the marginalization of the posterior distribution. We provide analytical results for a broad class of problems with conjugate priors and show that the method is suitable for a large number of applications. Subsequently, we demonstrate the benefit of the approach for applications from the field of systems biology. We report an improvement up to 50 times in the effective sample size per unit of time. As the scheme is broadly applicable, it will facilitate Bayesian inference in different research fields.

Identifiants

pubmed: 37867942
doi: 10.1016/j.isci.2023.108083
pii: S2589-0042(23)02160-0
pmc: PMC10589897
doi:

Types de publication

Journal Article

Langues

eng

Pagination

108083

Informations de copyright

© 2023 The Authors.

Déclaration de conflit d'intérêts

The authors declare no competing interests.

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Auteurs

Elba Raimúndez (E)

Life and Medical Sciences (LIMES) Institute, University of Bonn, Bonn, Germany.
Technische Universität München, Center for Mathematics, Garching, Germany.

Michael Fedders (M)

Life and Medical Sciences (LIMES) Institute, University of Bonn, Bonn, Germany.

Jan Hasenauer (J)

Life and Medical Sciences (LIMES) Institute, University of Bonn, Bonn, Germany.
Technische Universität München, Center for Mathematics, Garching, Germany.
Helmholtz Zentrum München - German Research Center for Environmental Health, Computational Health Center, Neuherberg, Germany.

Classifications MeSH