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Performing model selection for coupled hidden Markov models (CHMMs) is highly challenging, owing to the large dimension of the hidden state process. Whilst in principle the hidden state process can be marginalized out via forward filtering,…

统计方法学 · 统计学 2021-05-26 Jake Carson , Trevelyan J. McKinley , Peter Neal , Simon E. F. Spencer

Understanding predator-prey relationships among insects is a challenging task in the domain of insect-colony research. This is due to several factors involved, such as determining whether a particular behavior is the result of a…

人工智能 · 计算机科学 2009-12-15 Karthik Narayanaswami

The study of animal behavioural 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 behavioural scale…

统计计算 · 统计学 2021-05-06 Giada Sacchi , Ben Swallow

This paper presents new theory and methodology for the Bayesian estimation of overfitted hidden Markov models, with finite state space. The goal is then to achieve posterior emptying of extra states. A prior configuration is constructed…

统计方法学 · 统计学 2016-02-09 Zoé van Havre , Judith Rousseau , Nicole White , Kerrie Mengersen

Understanding behavioural responses to disturbances is vital for wildlife conservation. For example, in the Arctic, the decrease in sea ice has opened new shipping routes, increasing the need for impact assessments that quantify the…

应用统计 · 统计学 2026-03-06 Fanny Dupont , Marianne Marcoux , Nigel E. Hussey , Jackie Dawson , Marie Auger-Méthé

[This paper was initially published in PHME conference in 2016, selected for further publication in International Journal of Prognostics and Health Management.] This paper describes an Autoregressive Partially-hidden Markov model (ARPHMM)…

机器学习 · 统计学 2021-05-04 Pablo Juesas , Emmanuel Ramasso , Sébastien Drujont , Vincent Placet

Over the past few decades, the Hawkes process has become a popular framework for modeling temporal events thanks to its flexibility to capture different dependency structures. The objective of this work is to model call sequences emitted by…

统计方法学 · 统计学 2025-07-29 Anna Bonnet , Stéphane Robin

We propose an active walker model for the motion of individual ants communicating via chemical signals. It is assumed that communication takes the form of a time-dependent pheromone field that feedbacks into the motion ants through…

种群与进化 · 定量生物学 2019-08-19 Jorge M Ramirez , Sara M Vallejo , Yurani Villa , Sara Gaona , Sarai Quintero

Social media conversations unfold based on complex interactions between users, topics and time. While recent models have been proposed to capture network strengths between users, users' topical preferences and temporal patterns between…

机器学习 · 计算机科学 2018-09-13 Srikanta Bedathur , Indrajit Bhattacharya , Jayesh Choudhari , Anirban Dasgupta

We revisit the finite-armed linear bandit model by Nelson et al. (2022), where contexts and rewards are governed by a finite hidden Markov chain. Nelson et al. (2022) approach this model by a reduction to linear contextual bandits; but to…

机器学习 · 计算机科学 2026-04-10 Zhen Li , Gilles Stoltz

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

统计方法学 · 统计学 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini

Quadratic regression goes beyond the linear model by simultaneously including main effects and interactions between the covariates. The problem of interaction estimation in high dimensional quadratic regression has received extensive…

统计方法学 · 统计学 2019-01-23 Cheng Wang , Binyan Jiang , Liping Zhu

State-space models (SSMs) are commonly used to model time series data where the observations depend on an unobserved latent process. However, inference on the model parameters of an SSM can be challenging, especially when the likelihood of…

统计计算 · 统计学 2023-08-08 Mary Llewellyn , Ruth King , Víctor Elvira , Gordon Ross

One of the central interests of animal movement ecology is relating movement characteristics to behavioural characteristics. The traditional discrete-time statistical tool for inferring unobserved behaviours from movement data is the hidden…

Hidden Markov models (HMMs) are a versatile statistical framework commonly used in ecology to characterize behavioural patterns from animal movement data. In HMMs, the observed data depend on a finite number of underlying hidden states,…

统计方法学 · 统计学 2024-12-24 Fanny Dupont , Marianne Marcoux , Nigel Hussey , Marie Auger-Méthé

We present a hidden Markov model that describes variation in an animal's position associated with varying levels of activity in action potential spike trains of individual place cell neurons. The model incorporates a coarse-graining of…

应用统计 · 统计学 2014-12-22 Marc Box , Matt W. Jones , Nick Whiteley

In this paper, we explore the class of the Hidden Semi-Markov Model (HSMM), a flexible extension of the popular Hidden Markov Model (HMM) that allows the underlying stochastic process to be a semi-Markov chain. HSMMs are typically used less…

应用统计 · 统计学 2023-01-26 Patrick Aschermayr , Konstantinos Kalogeropoulos

Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the switching between these types of particles occurs randomly at…

统计力学 · 物理学 2024-05-14 Ayana Ezoe , Saori Morimoto , Yuya Tanaka , Makoto Katori , Hiraku Nishimori

We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

Characterization of multivariate time series of behaviour data from animal-borne sensors is challenging. Biologists require methods to objectively quantify baseline behaviour, then assess behaviour changes in response to environmental…