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Hidden Markov models have successfully been applied as models of discrete time series in many fields. Often, when applied in practice, the parameters of these models have to be estimated. The currently predominating identification methods,…

Machine Learning · Statistics 2015-07-24 Robert Mattila , Cristian R. Rojas , Bo Wahlberg

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

Discrete Mathematics · Computer Science 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

Shepherding involves herding a swarm of agents (\emph{sheep}) by another a control agent (\emph{sheepdog}) towards a goal. Multiple approaches have been documented in the literature to model this behaviour. In this paper, we present a…

The conformational kinetics of enzymes can be reliably revealed when they are governed by Markovian dynamics. Hidden Markov Models (HMMs) are appropriate especially in the case of conformational states that are hardly distinguishable.…

Quantitative Methods · Quantitative Biology 2009-02-05 A. Kovalev , N. Zarrabi , F. Werz , M. Boersch , Z. Ristic , H. Lill , D. Bald , C. Tietz , J. Wrachtrup

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…

Computation · Statistics 2021-05-06 Giada Sacchi , Ben Swallow

We present a novel approach for estimating the 2D pose of an articulated object with an application to automated video analysis of small laboratory animals. We have found that deformable part models developed for humans, exemplified by the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-29 Yuliang Guo , Lakshmi Narasimhan Govindarajan , Benjamin Kimia , Thomas Serre

We show that a simple mechanistic model of spatial dispersal for settling organisms, subject to parameter variability, can generate heavy-tailed radial probability density functions. The movement of organisms in the model consists of a…

Populations and Evolution · Quantitative Biology 2025-09-23 Luis F. Gordillo , Priscilla E. Greenwood

This work studies networked agents cooperating to track a dynamical state of nature under partial information. The proposed algorithm is a distributed Bayesian filtering algorithm for finite-state hidden Markov models (HMMs). It can be used…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Mert Kayaalp , Virginia Bordignon , Stefan Vlaski , Vincenzo Matta , Ali H. Sayed

Animals achieve energy-efficient locomotion by their implicit passive dynamics, a marvel that has captivated roboticists for decades.Recently, methods incorporated Adversarial Motion Prior (AMP) and Reinforcement learning (RL) shows…

Robotics · Computer Science 2025-10-14 Chenghao Wang , Arjun Viswanathan , Eric Sihite , Alireza Ramezani

Recent technological developments have spurred great advances in the computerized tracking of joints and other landmarks in moving animals, including humans. Such tracking promises important advances in biology and biomedicine. Modern…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Praneet C. Bala , Jan Zimmermann , Hyun Soo Park , Benjamin Y. Hayden

We present here a general framework and a specific algorithm for predicting the destination, route, or more generally a pattern, of an ongoing journey, building on the recent work of [Y. Lassoued, J. Monteil, Y. Gu, G. Russo, R. Shorten,…

Machine Learning · Computer Science 2018-09-03 Jonathan P. Epperlein , Julien Monteil , Mingming Liu , Yingqi Gu , Sergiy Zhuk , Robert Shorten

In a real life process evolving over time, the relationship between its relevant variables may change. Therefore, it is advantageous to have different inference models for each state of the process. Asymmetric hidden Markov models fulfil…

Machine Learning · Computer Science 2023-05-16 Carlos Puerto-Santana , Pedro Larrañaga , Concha Bielza

A correlated Gaussian random walk(CGRW) model is proposed as a simple model of animal dispersal. The general features of CGRW is described. We will discuss how from this single model a number of different kinds of correlated random walk can…

Statistical Mechanics · Physics 2012-01-10 Trilochan Bagarti

Conventional cell tracking methods detect multiple cells in each frame (detection) and then associate the detection results in successive time-frames (association). Most cell tracking methods perform the association task independently from…

Computer Vision and Pattern Recognition · Computer Science 2020-02-27 Junya Hayashida , Kazuya Nishimura , Ryoma Bise

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

The first motivation of this paper is to study stationarity and ergodic properties for a general class of time series models defined conditional on an exogenous covariates process. The dynamic of these models is given by an autoregressive…

Statistics Theory · Mathematics 2020-07-16 Paul Doukhan , Michael H. Neumann , Lionel Truquet

Learning fingerprint-like driving style representations is crucial to accurately identify who is behind the wheel in open driving situations. This study explores the learning of driving styles with GPS signals that are currently available…

Computational Engineering, Finance, and Science · Computer Science 2024-01-17 Lin Lu

We propose a general statistical mechanics framework for the collective motion of animals. The framework considers the principle of maximum entropy, the interaction, boundary, and desire effects, as well as the time-delay effect. These…

Biological Physics · Physics 2022-01-03 Jiacheng Cai , Jianlong Zhang , Xuan Chen , Cai Wang

We consider a random walker whose motion is tethered around a focal point. We use two models that exhibit the same spatial dependence in the steady state but widely different dynamics. In one case, the walker is subject to a deterministic…

Statistical Mechanics · Physics 2019-01-11 Luca Giuggioli , Shamik Gupta , Matt Chase

We investigate the movement patterns of three different Neotropical marsupials in an unfamiliar and risky environment. Animals are released in a matrix from which they try to reach a patch of forest. Their movements, performed on a small…

Quantitative Methods · Quantitative Biology 2019-03-04 B. Ríos-Uzeda , E. Brigatti , M. V. Vieira