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We study the movement of the living organism in a band form towards the presence of chemical substrate based on a system of partial differential evolution equations. We incorporate the Einstein's method of Brownian motion to deduce the…

Dynamical Systems · Mathematics 2022-02-01 Rahnuma Islam , Akif Ibragimov

Capturing the interactions between humans and their environment in 3D is important for many applications in robotics, graphics, and vision. Recent works to reconstruct the 3D human and object from a single RGB image do not have consistent…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Xianghui Xie , Bharat Lal Bhatnagar , Gerard Pons-Moll

Movement coordination in human ensembles has been studied little in the current literature. In the existing experimental works, situations where all subjects are connected with each other through direct visual and auditory coupling, and…

Human-Computer Interaction · Computer Science 2016-08-17 Francesco Alderisio , Maria Lombardi , Gianfranco Fiore , Mario di Bernardo

Multiple pedestrian tracking is crucial for enhancing safety and efficiency in intelligent transport and autonomous driving systems by predicting movements and enabling adaptive decision-making in dynamic environments. It optimizes traffic…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Jianjun Gao , Yi Wang , Kim-Hui Yap , Kratika Garg , Boon Siew Han

This paper studies the problem of detection and tracking of general objects with long-term dynamics, observed by a mobile robot moving in a large environment. A key problem is that due to the environment scale, it can only observe a subset…

Robotics · Computer Science 2018-01-31 Nils Bore , Johan Ekekrantz , Patric Jensfelt , John Folkesson

It is an important task to reliably detect and track multiple moving objects for video surveillance and monitoring. However, when occlusion occurs in nonlinear motion scenarios, many existing methods often fail to continuously track…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Xi Chen , Xiao Wang , Jianhua Xuan

We introduce two models of biological aggregation, based on randomly moving particles with individual stochasticity depending on the perceived average population density in their neighbourhood. In the first-order model the location of each…

Dynamical Systems · Mathematics 2012-02-22 Martin Burger , Jan Haskovec , Marie-Therese Wolfram

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi

We study a model of flocking in order to describe the transitions during the collective motion of organisms in three dimensions (e.g., birds). In this model the particles representing the organisms are self-propelled, i.e., they move with…

Biological Physics · Physics 2015-06-26 A. Czirok , M. Vicsek , T. Vicsek

In this study, we investigate the phenomenon of collective motion in binary mixtures of self-propelled particles. We consider two particle species, each of which consisting of pointlike objects that propel with a velocity of constant…

Soft Condensed Matter · Physics 2013-11-20 Andreas M. Menzel

Flocking is ubiquitous in nature and emerges due to short- or long-range alignment interactions among self-propelled agents. Two unfriendly species that antialign or even interact nonreciprocally show more complex collective phenomena,…

Statistical Mechanics · Physics 2025-12-17 Jiwon Choi , Jae Dong Noh , Heiko Rieger

We present the perturbative solution of the multicomponent Boltzmann kinetic equation based on the set of observables including the hydrodynamic velocity and temperature for each component. The solution is obtained by modifying the formal…

Statistical Mechanics · Physics 2008-01-23 S. V. Savenko , E. A. J. F. Peters , P. J. A. M. Kerkhof

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

Multiagent Systems · Computer Science 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

We propose a new model for detecting visual relationships, such as "person riding motorcycle" or "bottle on table". This task is an important step towards comprehensive structured image understanding, going beyond detecting individual…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Alexander Kolesnikov , Alina Kuznetsova , Christoph H. Lampert , Vittorio Ferrari

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

An important open problem in Human Behaviour is to understand how coordination emerges in human ensembles. This problem has been seldom studied quantitatively in the existing literature, in contrast to situations involving dual interaction.…

Dynamical Systems · Mathematics 2017-06-16 Francesco Alderisio , Gianfranco Fiore , Robin N Salesse , Benoit G Bardy , Mario di Bernardo

Social behaviors involving the interaction of multiple individuals are complex and frequently crucial for an animal's survival. These interactions, ranging across sensory modalities, length scales, and time scales, are often subtle and…

Biological Physics · Physics 2017-03-08 Ugne Klibaite , Gordon J. Berman , Jessica Cande , David L. Stern , Joshua W. Shaevitz

This paper reports on a data-driven, interaction-aware motion prediction approach for pedestrians in environments cluttered with static obstacles. When navigating in such workspaces shared with humans, robots need accurate motion…

Robotics · Computer Science 2018-02-27 Mark Pfeiffer , Giuseppe Paolo , Hannes Sommer , Juan Nieto , Roland Siegwart , Cesar Cadena

When particles move at a constant speed and have the tendency to align their directions of motion, ordered large scale movement can emerge despite significant levels of noise. Many variants of this model of self-propelled particles have…

Biological Physics · Physics 2012-12-11 Matthias Meschede , Oskar Hallatschek

Systems describing the long-range interaction between individuals have attracted a lot of attention in the last years, in particular in relation with living systems. These systems are quadratic, written under the form of transport equations…

Analysis of PDEs · Mathematics 2023-06-13 Marie Doumic , Sophie Hecht , Benoit Perthame , Diane Peurichard
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