Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior

The study of animal behavioral states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioral scale has become possible through hierarchical hidden Markov models, b...

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Main Authors: Giada Sacchi, Ben Swallow
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-05-01
Series:Frontiers in Ecology and Evolution
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fevo.2021.623731/full
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spelling doaj-9557dd85b0ec4940bd14916a172a663f2021-05-05T04:59:25ZengFrontiers Media S.A.Frontiers in Ecology and Evolution2296-701X2021-05-01910.3389/fevo.2021.623731623731Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal BehaviorGiada Sacchi0Ben Swallow1School of Mathematics and Statistics, University of Edinburgh, Edinburgh, United KingdomSchool of Mathematics and Statistics, University of Glasgow, Glasgow, United KingdomThe study of animal behavioral states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioral scale has become possible through hierarchical hidden Markov models, but additional levels lead to higher complexity and increased correlation between model components. Maximum likelihood approaches to inference using the EM algorithm and direct optimization of likelihoods are more frequently used, with Bayesian approaches being less favored due to computational demands. Given these demands, it is vital that efficient estimation algorithms are developed when Bayesian methods are preferred. We study the use of various approaches to improve convergence times and mixing in Markov chain Monte Carlo methods applied to hierarchical hidden Markov models, including parallel tempering as an inference facilitation mechanism. The method shows promise for analysing complex stochastic models with high levels of correlation between components, but our results show that it requires careful tuning in order to maximize that potential.https://www.frontiersin.org/articles/10.3389/fevo.2021.623731/fullparallel temperinganimal movementhierarchical hidden Markov modelsBayesian inferenceMCMC
collection DOAJ
language English
format Article
sources DOAJ
author Giada Sacchi
Ben Swallow
spellingShingle Giada Sacchi
Ben Swallow
Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
Frontiers in Ecology and Evolution
parallel tempering
animal movement
hierarchical hidden Markov models
Bayesian inference
MCMC
author_facet Giada Sacchi
Ben Swallow
author_sort Giada Sacchi
title Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
title_short Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
title_full Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
title_fullStr Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
title_full_unstemmed Toward Efficient Bayesian Approaches to Inference in Hierarchical Hidden Markov Models for Inferring Animal Behavior
title_sort toward efficient bayesian approaches to inference in hierarchical hidden markov models for inferring animal behavior
publisher Frontiers Media S.A.
series Frontiers in Ecology and Evolution
issn 2296-701X
publishDate 2021-05-01
description The study of animal behavioral states inferred through hidden Markov models and similar state switching models has seen a significant increase in popularity in recent years. The ability to account for varying levels of behavioral scale has become possible through hierarchical hidden Markov models, but additional levels lead to higher complexity and increased correlation between model components. Maximum likelihood approaches to inference using the EM algorithm and direct optimization of likelihoods are more frequently used, with Bayesian approaches being less favored due to computational demands. Given these demands, it is vital that efficient estimation algorithms are developed when Bayesian methods are preferred. We study the use of various approaches to improve convergence times and mixing in Markov chain Monte Carlo methods applied to hierarchical hidden Markov models, including parallel tempering as an inference facilitation mechanism. The method shows promise for analysing complex stochastic models with high levels of correlation between components, but our results show that it requires careful tuning in order to maximize that potential.
topic parallel tempering
animal movement
hierarchical hidden Markov models
Bayesian inference
MCMC
url https://www.frontiersin.org/articles/10.3389/fevo.2021.623731/full
work_keys_str_mv AT giadasacchi towardefficientbayesianapproachestoinferenceinhierarchicalhiddenmarkovmodelsforinferringanimalbehavior
AT benswallow towardefficientbayesianapproachestoinferenceinhierarchicalhiddenmarkovmodelsforinferringanimalbehavior
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