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1. Spatial memory plays a role in the way animals perceive their environments, resulting in memory-informed movement patterns that are observable to ecologists. Developing mathematical techniques to understand how animals use memory in…

Quantitative Methods · Quantitative Biology 2022-02-17 Peter R. Thompson , Andrew E. Derocher , Mark A. Edwards , Mark A. Lewis

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…

Applications · Statistics 2014-12-22 Marc Box , Matt W. Jones , Nick Whiteley

Group dynamic movement is a fundamental aspect of many species' movements. The need to adequately model individuals' interactions with other group members has been recognised, particularly in order to differentiate the role of social forces…

The analysis of animal tracking data provides an important source of scientific understanding and discovery in ecology. Observations of animal trajectories using telemetry devices provide researchers with information about the way animals…

Methodology · Statistics 2020-02-17 Henry R. Scharf , Mevin B. Hooten , Ryan R. Wilson , George M. Durner , Todd C. Atwood

Improved communication systems, shrinking battery sizes and the price drop of tracking devices have led to an increasing availability of trajectory tracking data. These data are often analyzed to understand animal behavior. In this work, we…

Applications · Statistics 2019-09-12 Gianluca Mastrantonio , Clara Grazian , Sara Mancinelli , Enrico Bibbona

The processes influencing animal movement and resource selection are complex and varied. Past efforts to model behavioral changes over time used Bayesian statistical models with variable parameter space, such as reversible-jump Markov chain…

Applications · Statistics 2015-06-15 Ephraim M. Hanks , Mevin B. Hooten , Mat W. Alldredge

We propose a Bayesian hidden Markov model for analyzing time series and sequential data where a special structure of the transition probability matrix is embedded to model explicit-duration semi-Markovian dynamics. Our formulation allows…

Methodology · Statistics 2022-05-23 Beniamino Hadj-Amar , Jack Jewson , Mark Fiecas

Social behavior across animal species ranges from simple pairwise interactions to thousands of individuals coordinating goal-directed movements. Regardless of the scale, these interactions are governed by the interplay between multimodal…

Neurons and Cognition · Quantitative Biology 2024-08-06 Sarah Josephine Stednitz , Andrew Lesak , Adeline L Fecker , Peregrine Painter , Phil Washbourne , Luca Mazzucato , Ethan K Scott

We introduce a generic, purely mechanical model for environment sensitive motion of mammalian cells that is applicable to chemotaxis, haptotaxis, and durotaxis as modes of motility. It is able to theoretically explain all relevant…

Cell Behavior · Quantitative Biology 2016-05-09 Patrick Bitter , Kristof Leon Beck , Peter Lenz

Hidden Markov models (HMMs) are popular tools for analysing animal behaviour based on movement, acceleration and other sensor data. In particular, these models allow to infer how the animal's decision-making process interacts with internal…

Methodology · Statistics 2025-12-22 Maya N. Vienken , Jan-Ole Koslik , Roland Langrock

The behaviour of colony-based marine predators is the focus of much research globally. Large telemetry and tracking data sets have been collected for this group of animals, and are accompanied by many theoretical studies of optimal foraging…

Quantitative Methods · Quantitative Biology 2017-04-26 Théo Michelot , Roland Langrock , Sophie Bestley , Ian D. Jonsen , Theoni Photopoulou , Toby A. Patterson

Behavior trees are rapidly attracting interest in robotics and human task-related motion tracking. However no algorithms currently exist to track or identify parameters of BTs under noisy observations. We report a new relationship between…

Robotics · Computer Science 2019-07-24 Blake Hannaford

Hidden Markov models (HMMs) have been used increasingly to understand how movement patterns of animals arise from behavioural states. An animal is assumed to transition between behavioural states through time, as described by transition…

Quantitative Methods · Quantitative Biology 2025-10-07 Théo Michelot , Emma Storey

Statistical modeling of animal movement is of critical importance. The continuous trajectory of an animal's movements is only observed at discrete, often irregularly spaced time points. Most existing models cannot handle the unequal…

Methodology · Statistics 2021-08-13 Chaoran Hu , Mark Elbroch , Thomas Meyer , Vladimir Pozdnyakov , Jun Yan

The wide spread use of positioning and photographing devices gives rise to a deluge of traffic trajectory data (e.g., vehicle passage records and taxi trajectory data), with each record having at least three attributes: object ID, location…

Machine Learning · Computer Science 2020-03-18 Meng Chen , Xiaohui Yu , Yang Liu

We study the problem of modeling human mobility from semantic trace data, wherein each GPS record in a trace is associated with a text message that describes the user's activity. Existing methods fall short in unveiling human movement…

Machine Learning · Computer Science 2020-10-06 Wanzheng Zhu , Chao Zhang , Shuochao Yao , Xiaobin Gao , Jiawei Han

This paper introduces a new parsimonious structure for mixture of autoregressive models. the weighting coefficients are determined through latent random variables, following a hidden Markov model. We propose a dynamic programming algorithm…

Statistics Theory · Mathematics 2011-05-12 S. H. Alizadeh , S. Rezakhah

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…

Quantitative Methods · Quantitative Biology 2018-08-07 Théo Michelot , Paul G. Blackwell

1. Understanding how to find targets with very limited information is a topic of interest in many disciplines. In ecology, such research has often focused on the development of two movement models: i) the L\'evy walk and; ii) the composite…

Quantitative Methods · Quantitative Biology 2015-11-30 Marie Auger-Méthé , Andrew E. Derocher , Michael J. Plank , Edward A. Codling , Mark A. Lewis

Over the last decade, hidden Markov models (HMMs) have become increasingly popular in statistical ecology, where they constitute natural tools for studying animal behavior based on complex sensor data. Corresponding analyses sometimes…

Methodology · Statistics 2025-10-15 Jan-Ole Koslik , Carlina C. Feldmann , Sina Mews , Rouven Michels , Roland Langrock