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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

As people coordinate in daily interactions, they engage in different patterns of behavior to achieve successful outcomes. This includes both synchrony - the temporal coordination of the same behaviors at the same time - and complementarity…

Multiagent Systems · Computer Science 2023-08-31 Grace Qiyuan Miao , Rick Dale , Alexia Galati

Even the simplest of animals exhibit behavioral sequences with complex temporal dynamics. Prominent amongst the proposed organizing principles for these dynamics has been the idea of a hierarchy, wherein the movements an animal makes can be…

Biological Physics · Physics 2017-02-08 Gordon J. Berman , William Bialek , Joshua W. Shaevitz

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers

Terms such as leader, mediator, and follower sound equal in the description of a pack of wolves, a street protest crowd, or a business team and have very similar meanings. This indicates the presence of some general law or structure that…

Quantitative Methods · Quantitative Biology 2023-04-13 Kirill Lonhus , Dalibor Stys , Renata Rychtarikova

Predicting human displacements is crucial for addressing various societal challenges, including urban design, traffic congestion, epidemic management, and migration dynamics. While predictive models like deep learning and Markov models…

Computers and Society · Computer Science 2024-08-07 Sebastiano Bontorin , Simone Centellegher , Riccardo Gallotti , Luca Pappalardo , Bruno Lepri , Massimiliano Luca

The advent and proliferation of social media have led to the development of mathematical models describing the evolution of beliefs/opinions in an ecosystem composed of socially interacting users. The goal is to gain insights into…

Social and Information Networks · Computer Science 2017-10-04 Alessandro Nordio , Alberto Tarable , Carla Fabiana Chiasserini , Emilio Leonardi

Rapidly changing business environments expose companies to high levels of uncertainty. This uncertainty manifests itself in significant changes that tend to occur over the lifetime of a process and possibly affect its performance. It is…

Artificial Intelligence · Computer Science 2021-09-14 Jan Niklas Adams , Sebastiaan J. van Zelst , Lara Quack , Kathrin Hausmann , Wil M. P. van der Aalst , Thomas Rose

The original Leader-Follower model, proposed in \cite{zhao2018understanding}, categorizes agents with opinions in $[-1,1]$ into a follower group, a leader group with a positive target opinion in $[0,1]$, and a leader group with a negative…

Optimization and Control · Mathematics 2024-08-07 Hsin-Lun Li

Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed…

Social and Information Networks · Computer Science 2021-03-02 Lorenzo Zino , Mengbin Ye , Ming Cao

Foraging is a widespread behavior, and being part of a group may bring several benefits compared to solitary foraging, such as collective pooling of information and reducing environmental uncertainty. Often theoretical models of collective…

Biological Physics · Physics 2024-12-05 Lisa Blum Moyse , Ahmed El Hady

Providing appropriate structures around human resources can streamline operations and thus facilitate the competitiveness of an organization. To achieve this goal, modern organizations need to acquire an accurate and timely understanding of…

Databases · Computer Science 2022-08-05 Jing Yang , Chun Ouyang , Wil M. P. van der Aalst , Arthur H. M. ter Hofstede , Yang Yu

Animals that travel together in groups display a variety of fascinating motion patterns thought to be the result of delicate local interactions among group members. Although the most informative way of investigating and interpreting…

Biological Physics · Physics 2010-10-27 Mate Nagy , Zsuzsa Akos , Dora Biro , Tamas Vicsek

Activity recognition and, more generally, behavior inference tasks are gaining a lot of interest. Much of it is work in the context of human behavior. New available tracking technologies for wild animals are generating datasets that…

Many real-world systems, from social networks to protein-protein interactions and species distributions, exhibit overlapping flow-based communities that reflect their functional organisation. However, reliably identifying such overlapping…

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Day-to-day traffic dynamics are widely used to model flow evolution due to travelers' learning and adjustment behavior, yet empirical analysis of these models often relies on descriptive calibration with limited inferential content. This…

Optimization and Control · Mathematics 2026-05-05 Minghui Wu , Yafeng Yin , Jerome P. Lynch , Zhichen Liu

Detecting community structure in social networks is a fundamental problem empowering us to identify groups of actors with similar interests. There have been extensive works focusing on finding communities in static networks, however, in…

Social and Information Networks · Computer Science 2018-02-26 Saeed Haji Seyed Javadi , Pedram Gharani , Shahram Khadivi

Imitation is a basic updating mechanism for strategy evolution in structured populations, determining how individuals sample social information and translate it into behavioral changes. Higher-order networks, such as hypergraphs, generalize…

Physics and Society · Physics 2026-02-11 Bingxin Lin , Lei Zhou , Hao Fang

In order to keep their cohesiveness during locomotion gregarious animals must make collective decisions. Many species boast complex societies with multiple levels of communities. A common case is when two dominant levels exist, one…

Biological Physics · Physics 2017-04-03 Bence Ferdinandy , Katalin Ozogány , Tamás Vicsek