Title
Markov-switching state-space models with applications to neuroimaging
Abstract
State-space models (SSM) with Markov switching offer a powerful framework for detecting multiple regimes in time series, analyzing mutual dependence and dynamics within regimes, and assessing transitions between regimes. These models however present considerable computational challenges due to the exponential number of possible regime sequences to account for. In addition, high dimensionality of time series can hinder likelihood-based inference. To address these challenges, novel statistical methods for Markov-switching SSMs are proposed using maximum likelihood estimation, Expectation-Maximization (EM), and parametric bootstrap. Solutions are developed for initializing the EM algorithm, accelerating convergence, and conducting inference. These methods, which are ideally suited to massive spatio-temporal data such as brain signals, are evaluated in simulations and applications to EEG studies of epilepsy and of motor imagery are presented.(C) 2022 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2022
10.1016/j.csda.2022.107525
COMPUTATIONAL STATISTICS & DATA ANALYSIS
Keywords
DocType
Volume
State-space model, Switching model, Markov process, EM algorithm, Bootstrap, Neuroimaging
Journal
174
ISSN
Citations 
PageRank 
0167-9473
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
David Degras100.34
Chee Ming Ting200.34
Hernando Ombao39818.00