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The interactions between individuals play a pivotal role in shaping the structure and dynamics of social systems. Complex network models have proven invaluable in uncovering the underlying mechanisms that govern the formation and evolution…

The spontaneous formation and subsequent growth, dissolution, merger and competition of social groups bears similarities to physical phase transitions in metastable finite systems. We examine three different scenarios, percolation, spinodal…

Physics and Society · Physics 2022-09-22 Frank Schweitzer , Georges Andres

Recent advances in sensor and mobile devices have enabled an unprecedented increase in the availability and collection of urban trajectory data, thus increasing the demand for more efficient ways to manage and analyze the data being…

Databases · Computer Science 2020-12-15 Sheng Wang , Zhifeng Bao , J. Shane Culpepper , Gao Cong

A method for online identification of group of moving objects in the video is proposed in this paper. This method at each frame identifies group of tracked objects with similar local instantaneous motion pattern using spectral clustering on…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Vahid Bastani , Damian Campo , Lucio Marcenaro , Carlo S. Regazzoni

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

Our understanding of collective animal behavior is limited by our ability to track each of the individuals. We describe an algorithm and software, idtracker.ai, that extracts from video all trajectories with correct identities at a high…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Francisco Romero-Ferrero , Mattia G. Bergomi , Robert Hinz , Francisco J. H. Heras , Gonzalo G. de Polavieja

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

Graphs are a standard framework for describing dynamical processes shaped by pairwise interactions among agents. But many systems involve interactions in groups of three or more agents. Here, we develop a method of "$\ell$-hyperedge…

Physics and Society · Physics 2026-05-25 Anzhi Sheng , Alex McAvoy , Ye Tian , Silun Zhang , Angela Fontan , Joshua B. Plotkin

Individuals interact and cooperate in structured systems. Many studies represent this structure using static networks, where each link represents a permanent connection between two nodes. However, real interactions are generally not…

Physics and Society · Physics 2025-12-23 Xiaochen Wang , Lei Zhou , Alex McAvoy , Zhenglong Tian , Aming Li

Finding a list of k teams of experts, referred to as top-k team formation, with the required skills and high collaboration compatibility has been extensively studied. However, existing methods have not considered the specific collaboration…

Databases · Computer Science 2018-01-04 Shuai Ma , Jia Li , Chunming Hu , Xudong Liu , Jinpeng Huai

The aim of the present paper is to elucidate the transition from collective to random behavior exhibited by various mathematical models of bird flocking. In particular, we compare Vicsek's model [Viscek et al., Phys. Rev. Lett. 75, 1226 --…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 H. Christodoulidi , K. van der Weele , Ch. G. Antonopoulos , T. Bountis

Previous studies on sequence-based extraction of human movement trajectories have an issue of inadequate trajectory representation. Specifically, a pair of locations may not be lined up in a sequence especially when one location includes…

Computation and Language · Computer Science 2024-10-23 Aitaro Yamamoto , Hiroyuki Otomo , Hiroki Ouchi , Shohei Higashiyama , Hiroki Teranishi , Hiroyuki Shindo , Taro Watanabe

Distributed systems are comprised of many components that communicate together to form an application. Distributed tracing gives us visibility into these complex interactions, but it can be difficult to reason about the system's behavior,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-11 Adrita Samanta , Henry Han , Darby Huye , Lan Liu , Zhaoqi Zhang , Raja R. Sambasivan

Many natural and artificial networks evolve in time. Nodes and connections appear and disappear at various timescales, and their dynamics has profound consequences for any processes in which they are involved. The first empirical analysis…

Statistical Mechanics · Physics 2012-05-21 Michele Starnini , Andrea Baronchelli , Alain Barrat , Romualdo Pastor-Satorras

Temporal graphs represent interactions between entities over the time. These interactions may be direct (a contact between two nodes at some time instant), or indirect, through sequences of contacts called temporal paths (journeys).…

Data Structures and Algorithms · Computer Science 2021-04-01 Luiz F. Afra Brito , Marcelo Albertini , Arnaud Casteigts , Bruno A. N. Travençolo

We introduce a modified model of random walk, and then develop two novel clustering algorithms based on it. In the algorithms, each data point in a dataset is considered as a particle which can move at random in space according to the…

Machine Learning · Computer Science 2008-10-31 Qiang Li , Yan He , Jing-ping Jiang

Social robot navigation can be helpful in various contexts of daily life but requires safe human-robot interactions and efficient trajectory planning. While modeling pairwise relations has been widely studied in multi-agent interacting…

Robotics · Computer Science 2024-11-13 Jiachen Li , Chuanbo Hua , Jianpeng Yao , Hengbo Ma , Jinkyoo Park , Victoria Dax , Mykel J. Kochenderfer

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

We consider a specific dynamical system of groups formation. It is based simultaneously on a gradient competition between groups and a strong accumulation inside groups. Such a dynamical system demonstrates interesting behavior of densities…

Dynamical Systems · Mathematics 2022-01-05 Anton A Kutsenko

Communities are not static; they evolve, split and merge, appear and disappear, i.e. they are product of dynamical processes that govern the evolution of the network. A good algorithm for community detection should not only quantify the…

Physics and Society · Physics 2011-11-24 Angel Stanoev , Daniel Smilkov , Ljupco Kocarev