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In the last decade, stochastic models have shown to be very useful for quantitative modelling of social processes. Here, a configurational master equation for the description of behavioral changes by pair interactions of individuals is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

The advantages of evolutionary algorithms with respect to traditional methods have been greatly discussed in the literature. While particle swarm optimizers share such advantages, they outperform evolutionary algorithms in that they require…

Neural and Evolutionary Computing · Computer Science 2021-01-28 Johann Sienz , Mauro S. Innocente

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

Computer Science and Game Theory · Computer Science 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig

We consider the motion of interacting particles governed by a coupled system of ODEs with random initial conditions. Direct computations for such systems are prohibitively expensive due to a very large number of particles and randomness…

Computational Physics · Physics 2014-11-25 Leonid Berlyand , Pierre-Emmanuel Jabin , Mykhailo Potomkin

In a robotic swarm, parameters such as position and proximity to the target can be described in terms of probability amplitudes. This idea led to recent studies on a quantum approach to the definition of the swarm, including a block-matrix…

Robotics · Computer Science 2026-03-17 Maria Mannone , Mahathi Anand , Peppino Fazio , Abdalla Swikir

We propose a new kind of collective motion where swarms of simple agents are able to find and fix the solution of two-dimensional mazes. The model consists of active memoryless particles interacting exclusively via short-ranged perception…

We study evolutionary game dynamics in a well-mixed populations of finite size, N. A well-mixed population means that any two individuals are equally likely to interact. In particular we consider the average abundances of two strategies, A…

Populations and Evolution · Quantitative Biology 2009-02-24 Tibor Antal , Martin A. Nowak , Arne Traulsen

We consider population dynamics as implemented by the cloning algorithm for analysis of large deviations of time-averaged quantities. Using the simple symmetric exclusion process as a prototypical example, we investigate the convergence of…

Statistical Mechanics · Physics 2018-05-11 Tobias Brewer , Stephen R. Clark , Russell Bradford , Robert L. Jack

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

Robotics · Computer Science 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

We present a system to coordinate 'urban mobility swarms' in order to promote the use and safety of lightweight, sustainable transit, while enhancing the vibrancy and community fabric of cities. This work draws from behavior exhibited by…

Multiagent Systems · Computer Science 2020-07-15 Alex Berke , Jason Nawyn , Thomas Sanchez Lengeling , Kent Larson

Drawing inspiration from swarm intelligence, we show that short-range attractive interactions between thermally driven Brownian quasiparticles enable energy-efficient optimization. As quasiparticles can be generated directly within a…

Statistical Mechanics · Physics 2026-02-02 Alessandro Pignedoli , Atreya Majumdar , Karin Everschor-Sitte

Understanding the activity of large populations of neurons is difficult due to the combinatorial complexity of possible cell-cell interactions. To reduce the complexity, coarse-graining had been previously applied to experimental neural…

Neurons and Cognition · Quantitative Biology 2021-03-24 Mia C. Morrell , Audrey J. Sederberg , Ilya Nemenman

Animal collective behavior is often modeled with self-propelled particles, assuming each individual has ``omniscient'' knowledge of its neighbors. Yet, neighbors may be hidden from view and we do not know the effect of this information…

Biological Physics · Physics 2024-03-20 Diego Castro , Franck Ruffier , Christophe Eloy

Increasing nature-inspired metaheuristic algorithms are applied to solving the real-world optimization problems, as they have some advantages over the classical methods of numerical optimization. This paper has proposed a new…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Bing Zeng , Liang Gao , Xinyu Li

This paper studies a flocking model in which the interaction between agents is described by a general local nonlinear function depending on the distance between agents.

Optimization and Control · Mathematics 2019-12-24 Ge Chen , Zhixin Liu

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

Systems and Control · Computer Science 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

Population dynamics provides a numerical tool allowing for the study of rare events by means of simulating a large number of copies of the system, supplemented with a selection rule that favours the rare trajectories of interest. The…

Statistical Mechanics · Physics 2018-06-07 Esteban Guevara Hidalgo

We propose an approach of open-ended evolution via the simulation of swarm dynamics. In nature, swarms possess remarkable properties, which allow many organisms, from swarming bacteria to ants and flocking birds, to form higher-order…

Multiagent Systems · Computer Science 2019-03-21 Olaf Witkowski , Takashi Ikegami

Populations are made up of an integer number of individuals and are subject to stochastic birth-death processes whose rates may vary in time. Useful quantities, like the chance of ultimate fixation, satisfy an appropriate difference…

Populations and Evolution · Quantitative Biology 2020-07-22 Jayant Pande , Nadav M. Shnerb

Stochastic local search algorithms are frequently used to numerically solve hard combinatorial optimization or decision problems. We give numerical and approximate analytical descriptions of the dynamics of such algorithms applied to random…

Statistical Mechanics · Physics 2009-11-10 Wolfgang Barthel , Alexander K. Hartmann , Martin Weigt