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We propose a hidden Markov model for univariate proportion time series taking values in (0,1), where regime switching captures latent structural changes and the emission distribution belongs to the Beta family. In each latent state, the…

统计方法学 · 统计学 2026-05-11 Andrea Nigri , Han Lin Shang , Marco Bonetti

Hidden Markov models (HMMs) and their extensions have proven to be powerful tools for classification of observations that stem from systems with temporal dependence as they take into account that observations close in time are likely…

应用统计 · 统计学 2021-11-22 Sofia Ruiz-Suarez , Vianey Leos-Barajas , Juan Manuel Morales

A key question in brain sciences is how to identify time-evolving functional connectivity, such as that obtained from recordings of neuronal activity over time. We wish to explain the observed phenomena in terms of latent states which, in…

统计方法学 · 统计学 2026-05-14 Yiwei Gong , Susanna B. Mierau , Sinead A. Williamson

Multi-type Markov point processes offer a flexible framework for modelling complex multi-type point patterns where it is pertinent to capture both interactions between points as well as large scale trends depending on observed covariates.…

统计方法学 · 统计学 2025-10-15 Ib Thorsgaard Jensen , Jean-François Coeurjolly , Rasmus Waagepetersen

B-spline-based hidden Markov models employ B-splines to specify the emission distributions, offering a more flexible modelling approach to data than conventional parametric HMMs. We introduce a Bayesian framework for inference, enabling the…

统计方法学 · 统计学 2023-10-03 Sida Chen , Bärbel Finkenstädt Rand

We show that nonequilibrium dynamics can play a constructive role in unsupervised machine learning by inducing the spontaneous emergence of latent-state cycles. We introduce a model in which visible and hidden variables interact through two…

统计力学 · 物理学 2026-05-05 Marco Baiesi , Alberto Rosso

To investigate interactions between parasite species in a host, a population of field voles was studied longitudinally, with presence or absence of six different parasites measured repeatedly. Although trapping sessions were regular, a…

应用统计 · 统计学 2013-01-29 Chris Sherlock , Tatiana Xifara , Sandra Telfer , Mike Begon

An important problem in time-series analysis is modeling systems with time-varying dynamics. Probabilistic models with joint continuous and discrete latent states offer interpretable, efficient, and experimentally useful descriptions of…

机器学习 · 计算机科学 2023-06-08 Hyun Dong Lee , Andrew Warrington , Joshua I. Glaser , Scott W. Linderman

Continuous-time models have been developed to capture features of animal movement across temporal scales. In particular, one popular model is the continuous-time correlated random walk, in which the velocity of an animal is formulated as an…

定量方法 · 定量生物学 2018-08-07 Théo Michelot , Paul G. Blackwell

Hidden Markov models (HMMs) are powerful tools for analysing time series data that depend on discrete underlying but unobserved states. As such, they have gained prominence across numerous empirical disciplines, in particular ecology,…

统计方法学 · 统计学 2026-03-19 Jan-Ole Fischer

We study a novel large dimensional approximate factor model with regime changes in the loadings driven by a latent first order Markov process. By exploiting the equivalent linear representation of the model, we first recover the latent…

计量经济学 · 经济学 2024-12-04 Matteo Barigozzi , Daniele Massacci

Data sets comprised of sequences of curves sampled at high frequencies in time are increasingly common in practice, but they can exhibit complicated dependence structures that cannot be modelled using common methods of Functional Data…

Hidden Markov Models (HMMs) comprise a powerful generative approach for modeling sequential data and time-series in general. However, the commonly employed assumption of the dependence of the current time frame to a single or multiple…

机器学习 · 计算机科学 2021-09-13 Konstantinos P. Panousis , Sotirios Chatzis , Sergios Theodoridis

Interactions between social animals provide insights into the exchange and flow of nutrients, disease, and social contacts. We consider a chamber level analysis of trophallaxis interactions between carpenter ants (\textit{Camponotus…

应用统计 · 统计学 2018-06-06 Meridith L. Bartley , Ephraim Hanks , David Hughes

Discrete-time hidden Markov models (HMMs) have become an immensely popular tool for inferring latent animal behaviors from telemetry data. Here we introduce an open-source R package, momentuHMM, that addresses many of the deficiencies in…

定量方法 · 定量生物学 2018-06-13 Brett T. McClintock , Theo Michelot

A Markov state model is a powerful tool that can be used to track the evolution of populations of configurations in an atomistic representation of a protein. For a coarse-grained linear chain model with discontinuous interactions, the…

软凝聚态物质 · 物理学 2024-02-06 Margarita Colberg , Jeremy Schofield

Regime-switching models, in particular Hidden Markov Models (HMMs) where the switching is driven by an unobservable Markov chain, are widely-used in financial applications, due to their tractability and good econometric properties. In this…

统计金融 · 定量金融 2016-02-18 Vikram Krishnamurthy , Elisabeth Leoff , Jörn Sass

Ecological systems can often be characterised by changes among a finite set of underlying states pertaining to individuals, populations, communities, or entire ecosystems through time. Owing to the inherent difficulty of empirical field…

1. Hidden Markov models (HMMs) are powerful tools for modelling time-series data with underlying state structure. However, selecting appropriate parametric forms for the state-dependent distributions is often challenging and can lead to…

The hidden Markov model (HMM) provides a powerful framework for inference in time-varying environments, where the underlying state evolves according to a Markov chain. To address the optimal filtering problem in general dynamic settings, we…

系统与控制 · 电气工程与系统科学 2025-06-10 Dongyan Sui , Haotian Pu , Siyang Leng , Stefan Vlaski