Network Modeling of Asynchronous Change-Points in Multivariate Time Series

Fuente: arXiv
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Auteurs principaux: McKee, Carson, Kalli, Maria
Format: Preprint
Publié: 2025
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author McKee, Carson
Kalli, Maria
author_facet McKee, Carson
Kalli, Maria
contents This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by change-points in some other (lagging) series. Such dynamic dependence structure is common in fields such as seismology and neurology where a latent event such as an earthquake or seizure causes certain sensors to register change-points before others. We model these lead-lag dependencies via a latent directed graph and provide a hierarchical prior for learning the graph's structure and parameters. Posterior inference is made tractable by modifying particle MCMC methods designed for univariate change-point problems. We apply our method to both simulated and real datasets from the fields of seismology and neurology. In the simulated data, we find that our method outperforms competing methods in settings where the change-point locations are dependent across series. In the real data applications we show that our model can also uncover interpretable network structure.
format Preprint
id arxiv_https___arxiv_org_abs_2506_15801
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Network Modeling of Asynchronous Change-Points in Multivariate Time Series
McKee, Carson
Kalli, Maria
Methodology
Applications
This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by change-points in some other (lagging) series. Such dynamic dependence structure is common in fields such as seismology and neurology where a latent event such as an earthquake or seizure causes certain sensors to register change-points before others. We model these lead-lag dependencies via a latent directed graph and provide a hierarchical prior for learning the graph's structure and parameters. Posterior inference is made tractable by modifying particle MCMC methods designed for univariate change-point problems. We apply our method to both simulated and real datasets from the fields of seismology and neurology. In the simulated data, we find that our method outperforms competing methods in settings where the change-point locations are dependent across series. In the real data applications we show that our model can also uncover interpretable network structure.
title Network Modeling of Asynchronous Change-Points in Multivariate Time Series
topic Methodology
Applications
url https://arxiv.org/abs/2506.15801