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Hidden Markov models are versatile tools for modeling sequential observations, where it is assumed that a hidden state process selects which of finitely many distributions generates any given observation. Specifically for time series of…

Methodology · Statistics 2019-01-11 Timo Adam , Roland Langrock , Christian H. Weiß

A diversity of decision-making systems has been observed in animal collectives. In some species, choices depend on the differences of the numbers of animals that have chosen each of the available options, while in other species on the…

Populations and Evolution · Quantitative Biology 2012-12-13 Sara Arganda , Alfonso Pérez-Escudero , Gonzalo G. de Polavieja

This study examines the complex movement patterns and behavioral characteristics of wild boars using GPS telemetry data collected over a two-month period. Our methodological approach centers on the application of a Hidden Markov Model (HMM)…

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

Risk perception plays a key role in shaping the collective behavior of moving animal groups, yet the effects of variation in perceived risk within groups is unknown. Here, we merge two subgroups of fish with different levels of perceived…

When exposed to a contagion phenomenon, individuals may respond to the perceived risk of infection by adopting behavioral changes, aiming to reduce their exposure or their risk of infecting others. The social cost of such adaptive behaviors…

Physics and Society · Physics 2026-02-06 Marco Mancastroppa , Márton Karsai , Alain Barrat

Humans and other animals often follow the decisions made by others because these are indicative of the quality of possible choices, resulting in `social response rules': observed relationships between the probability that an agent will make…

Physics and Society · Physics 2025-10-28 Richard P. Mann

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…

Methodology · Statistics 2025-07-29 Anna Bonnet , Stéphane Robin

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

Animal and robotic collective behaviours can exhibit complex dynamics that require multi-level descriptions. Here, we are interested in developing a multi-level modeling framework for the use of robots in studies about animal collective…

Adaptation and Self-Organizing Systems · Physics 2019-02-12 Leo Cazenille , Nicolas Bredeche , José Halloy

Self-organized pattern behavior is ubiquitous throughout nature, from fish schooling to collective cell dynamics during organism development. Qualitatively these patterns display impressive consistency, yet variability inevitably exists…

Quantitative Methods · Quantitative Biology 2022-06-08 Melissa R. McGuirl , Alexandria Volkening , Björn Sandstede

Modeling social interactions is a challenging task that requires flexible frameworks. For instance, dissimulation and externalities are relevant features influencing such systems -- elements that are often neglected in popular models. This…

Optimization and Control · Mathematics 2022-12-21 Yuri Saporito , Max O. Souza , Yuri Thamsten

Cities are typical dynamic complex systems that connect people and facilitate interactions. Revealing universal collective patterns behind spatio-temporal interactions between residents is crucial for various urban studies, of which we are…

Physics and Society · Physics 2024-06-11 Chenxin Liu , Yu Yang , Bingsheng Chen , Tianyu Cui , Fan Shang , Jingfang Fan , Ruiqi Li

While mathematical models, in particular self-propelled particle (SPP) models, capture many of the observed properties of large fish schools, they do not always capture the interactions of smaller shoals. Nor do these models tend to account…

Neurons and Cognition · Quantitative Biology 2023-04-04 Linnéa Gyllingberg , Alex Szorkovszky , David J. T. Sumpter

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

One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular if there is a danger. Is such a behaviour…

Populations and Evolution · Quantitative Biology 2017-01-04 Usama Kadri , Franz Brümmer , Anan Kadri

Collective motion is ubiquitous in nature; groups of animals, such as fish, birds, and ungulates appear to move as a whole, exhibiting a rich behavioral repertoire that ranges from directed movement to milling to disordered swarming.…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Conor Heins , Beren Millidge , Lancelot da Costa , Richard Mann , Karl Friston , Iain Couzin

We discuss various features of the trajectories of spider monkeys looking for food in a tropical forest, as observed recently in an extensive {\it in situ} study. Some of the features observed can be interpreted as the result of social…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Boyer , O. Miramontes , G. Ramos-Fernández , J. L. Mateos , G. Cocho

We explore the collective behaviours of 7 group sizes: 1, 2, 3, 5, 7, 10 and 20 AB zebrafish (Danio rerio) in a constraint environment composed of two identical squared rooms connected by a corridor. This simple set-up is similar to a…

Populations and Evolution · Quantitative Biology 2019-02-12 Axel Séguret , Bertrand Collignon , Leo Cazenille , Yohann Chemtob , José Halloy

In this paper, we propose a general hidden state random walk model to describe the movement of an animal that takes into account movement taxis with respect to features of the environment. A circular-linear process models the direction and…

Methodology · Statistics 2016-10-05 Aurélien Nicosia , Thierry Duchesne , Louis-Paul Rivest , Daniel Fortin
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