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Related papers: Swarm Modelling with Dynamic Mode Decomposition

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Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially…

Numerical Analysis · Mathematics 2019-08-14 Stefan Klus , Patrick Gelß , Sebastian Peitz , Christof Schütte

While the acquisition of time series has become more straightforward, developing dynamical models from time series is still a challenging and evolving problem domain. Within the last several years, to address this problem, there has been a…

Machine Learning · Computer Science 2023-07-19 Christopher W. Curtis , D. Jay Alford-Lago , Erik Bollt , Andrew Tuma

We introduce a new Swarm-Based Gradient Descent (SBGD) method for non-convex optimization. The swarm consists of agents, each is identified with a position, ${\mathbf x}$, and mass, $m$. The key to their dynamics is communication: masses…

Numerical Analysis · Mathematics 2024-05-01 Jingcheng Lu , Eitan Tadmor , Anil Zenginoglu

Robot swarms often exhibit emergent behaviors that are fascinating to observe; however, it is often difficult to predict what swarm behaviors can emerge under a given set of agent capabilities. We seek to efficiently leverage human input to…

Multiagent Systems · Computer Science 2023-07-18 Connor Mattson , Daniel S. Brown

Contemporary swarm indicators are often used in isolation, focused on extracting information at the individual or collective levels. Consequently, these are seldom integrated to infer a top-level operating picture of the swarm, its members,…

Artificial Intelligence · Computer Science 2022-11-22 Adam Hepworth , Aya Hussein , Darryn Reid , Hussein Abbass

Swarms of unmanned aerial vehicles (UAVs) are increasingly becoming vital to our society, undertaking tasks such as search and rescue, surveillance and delivery. A special variant of Distributed Model Predictive Control (DMPC) has emerged…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Alexander Gräfe , Joram Eickhoff , Marco Zimmerling , Sebastian Trimpe

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

A robotic swarm that is required to operate for long periods in a potentially unknown environment can use both evolution and individual learning methods in order to adapt. However, the role played by the environment in influencing the…

Neural and Evolutionary Computing · Computer Science 2018-04-23 Andreas Steyven , Emma Hart , Ben Paechter

Dynamical systems are ubiquitous within science and engineering, from turbulent flow across aircraft wings to structural variability of proteins. Although some systems are well understood and simulated, scientific imaging often confronts…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Ali SaraerToosi , Renbo Tu , Kamyar Azizzadenesheli , Aviad Levis

Collective motion is a fundamental phenomenon in biological swarms. As a framework for studying synchronization in motions, the Vicsek model is simple and efficient, assuming isotropic interactions with a complete field of view. Drawing…

Physics and Society · Physics 2025-12-23 Haoshuai Wang , Zhaoqi Dong , Lei Chen

Achieving scalable coordination in large robotic swarms is often constrained by reliance on inter-agent communication, which introduces latency, bandwidth limitations, and vulnerability to failure. To address this gap, a decentralized…

Robotics · Computer Science 2026-02-03 Mohini Priya Kolluri , Ammar Waheed , Zohaib Hasnain

Unraveling the nature of the communication model that governs which two individuals in a swarm interact with each other is an important line of inquiry in the collective behavior sciences. A number of models have been proposed in the…

Robotics · Computer Science 2018-01-24 Musad Haque , Connor McGowan , Yifan Guo , Douglas Kirkpatrick , Julie A. Adams

Species subject to predation and environmental threats commonly exhibit variable periods of population boom and bust over long timescales. Understanding and predicting such behavior, especially given the inherent heterogeneity and…

Populations and Evolution · Quantitative Biology 2024-06-03 Daniel Messenger , Greg Dwyer , Vanja Dukic

In this paper, a distributed convex optimization problem with swarm tracking behavior is studied for continuous-time multi-agent systems. The agents' task is to drive their center to track an optimal trajectory which minimizes the sum of…

Optimization and Control · Mathematics 2015-07-20 Salar Rahili , Wei Ren , Sheida Ghapani

Swarm robotics has potential for a wide variety of applications, but real-world deployments remain rare due to the difficulty of predicting emergent behaviors arising from simple local interactions. Traditional engineering approaches design…

Robotics · Computer Science 2025-10-28 Ricardo Vega , Connor Mattson , Kevin Zhu , Daniel S. Brown , Cameron Nowzari

The collective behavior of swarms is extremely difficult to estimate or predict, even when the local agent rules are known and simple. The presented work seeks to leverage the similarities between fluids and swarm systems to generate a…

Adaptation and Self-Organizing Systems · Physics 2023-08-30 Hossein Haeri , Kshitij Jerath , Jacob Leachman

It is known from both theory and experiments that introducing time delays into the communication network of mobile-agent swarms produces coherent rotational patterns. Often such spatio-temporal rotations can be bistable with other swarming…

Adaptation and Self-Organizing Systems · Physics 2020-04-15 Jason Hindes , Victoria Edwards , Sayomi Kamimoto , Ioana Triandaf , Ira B. Schwartz

Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

Other Quantitative Biology · Quantitative Biology 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

Swarm behaviour engineering is an area of research that seeks to investigate methods and techniques for coordinating computation and action within groups of simple agents to achieve complex global goals like pattern formation, collective…

Artificial Intelligence · Computer Science 2025-08-13 Gianluca Aguzzi , Roberto Casadei , Mirko Viroli

This paper proposes a model-based framework to automatically and efficiently design understandable and verifiable behaviors for swarms of robots. The framework is based on the automatic extraction of two distinct models: 1) a neural network…

Robotics · Computer Science 2021-03-10 Mario Coppola , Jian Guo , Eberhard Gill , Guido C. H. E. de Croon