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Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in…

Biomolecules · Quantitative Biology 2025-06-09 Max Schweiger , Ayush Saurabh , Steve Pressé

There are many situations in which it would be beneficial for a robot to have predictive abilities similar to those of rational humans. Some of these situations include collaborative robots, robots in adversarial situations, and for dynamic…

Robotics · Computer Science 2014-12-02 Alan J. Hamlet , Carl D. Crane

Hidden Markov models (HMMs) are probabilistic methods in which observations are seen as realizations of a latent Markov process with discrete states that switch over time. Moving beyond standard statistical tests, HMMs offer a statistical…

Methodology · Statistics 2024-03-20 S. Mildiner Moraga , E. Aarts

Hidden Markov Models (HMMs) are foundational tools for modeling sequential data with latent Markovian structure, yet fitting them to real-world data remains computationally challenging. In this work, we show that pre-trained large language…

Machine Learning · Computer Science 2026-04-27 Yijia Dai , Zhaolin Gao , Yahya Sattar , Sarah Dean , Jennifer J. Sun

Hidden Markov models (HMMs) are widely applied in studies where a discrete-valued process of interest is observed indirectly. They have for example been used to model behaviour from human and animal tracking data, disease status from…

Methodology · Statistics 2025-05-22 Théo Michelot

Hidden semi-Markov models (HSMMs) are latent variable models which allow latent state persistence and can be viewed as a generalization of the popular hidden Markov models (HMMs). In this paper, we introduce a novel spectral algorithm to…

Machine Learning · Statistics 2016-03-01 Igor Melnyk , Arindam Banerjee

With the influx of complex and detailed tracking data gathered from electronic tracking devices, the analysis of animal movement data has recently emerged as a cottage industry amongst biostatisticians. New approaches of ever greater…

Applications · Statistics 2017-01-31 Toby A Patterson , Alison Parton , Roland Langrock , Paul G Blackwell , Len Thomas , Ruth King

Hidden Markov models (HMMs) are one of the most widely used statistical methods for analyzing sequence data. However, the reporting of output from HMMs has largely been restricted to the presentation of the most-probable (MAP) hidden state…

Methodology · Statistics 2015-05-01 Michalis K. Titsias , Christopher Yau , Christopher C. Holmes

The detection of change-points in heterogeneous sequences is a statistical challenge with many applications in fields such as finance, signal analysis and biology. A wide variety of literature exists for finding an ideal set of…

Applications · Statistics 2012-12-11 The Minh Luong , Vittorio Perduca , Gregory Nuel

The main focus of this work is on developing models for the activity profile of a terrorist group, detecting sudden spurts and downfalls in this profile, and, in general, tracking it over a period of time. Toward this goal, a $d$-state…

Applications · Statistics 2014-01-16 Vasanthan Raghavan , Aram Galstyan , Alexander G. Tartakovsky

We propose the Gaussian-Linear Hidden Markov model (GLHMM), a generalisation of different types of HMMs commonly used in neuroscience. In short, the GLHMM is a general framework where linear regression is used to flexibly parameterise the…

Neurons and Cognition · Quantitative Biology 2024-10-02 Diego Vidaurre , Laura Masaracchia , Nick Y. Larsen , Lenno R. P. T Ruijters , Sonsoles Alonso , Christine Ahrends , Mark W. Woolrich

The hidden Markov model (HMM) has been a workhorse of single molecule data analysis and is now commonly used as a standalone tool in time series analysis or in conjunction with other analyses methods such as tracking. Here we provide a…

Data Analysis, Statistics and Probability · Physics 2017-06-28 Ioannis Sgouralis , Steve Presse

The ability to predict the intentions of people based solely on their visual actions is a skill only performed by humans and animals. The intelligence of current computer algorithms has not reached this level of complexity, but there are…

Artificial Intelligence · Computer Science 2011-02-07 Michael DelRose , Christian Wagner , Philip Frederick

This work deals with the analysis of longitudinal ordinal responses. The novelty of the proposed approach is in modeling simultaneously the temporal dynamics of a latent trait of interest, measured via the observed ordinal responses, and…

Methodology · Statistics 2021-11-29 R. Colombi , S. Giordano , M. Kateri

Understanding species-habitat associations is fundamental to ecological sciences and for species conservation. Consequently, various statistical approaches have been designed to infer species-habitat associations. Due to their conceptual…

GPS technology is currently easily accessible to researchers, and many animal movement datasets are available. Two of the main features that a model which describes an animal's path can possess are directional persistence and attraction to…

Applications · Statistics 2021-09-29 Gianluca Mastrantonio

There is an increase in interest to model driving maneuver patterns via the automatic unsupervised clustering of naturalistic sequential kinematic driving data. The patterns learned are often used in transportation research areas such as…

Machine Learning · Statistics 2023-11-14 Matthew Aguirre , Wenbo Sun , Jionghua , Jin , Yang Chen

Motivated by applications in movement ecology, in this paper I propose a new class of integrated continuous-time hidden Markov models in which each observation depends on the underlying state of the process over the whole interval since the…

Methodology · Statistics 2019-10-01 Paul G Blackwell

Hidden Markov Models (HMMs) are powerful tools for modeling sequential data, where the underlying states evolve in a stochastic manner and are only indirectly observable. Traditional HMM approaches are well-established for linear sequences,…

Machine Learning · Statistics 2024-06-05 Farzan Vafa , Sahand Hormoz

Price movements of stock market are not totally random. In fact, what drives the financial market and what pattern financial time series follows have long been the interest that attracts economists, mathematicians and most recently computer…

Statistical Finance · Quantitative Finance 2013-11-20 G. Kavitha , A. Udhayakumar , D. Nagarajan