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Durable interactions are ubiquitous in social network analysis and are increasingly observed with precise time stamps. Phone and video calls, for example, are events to which a specific duration can be assigned. We term data encoding…

Methodology · Statistics 2026-02-05 Cornelius Fritz , Riccardo Rastelli , Michael Fop , Alberto Caimo

Relational event data, which consist of events involving pairs of actors over time, are now commonly available at the finest of temporal resolutions. Existing continuous-time methods for modeling such data are based on point processes and…

Methodology · Statistics 2018-06-21 Wesley Lee , Bailey K. Fosdick , Tyler H. McCormick

Human mobility is a key factor in spatial disease dynamics and related phenomena. In computational models host mobility is typically modelled by diffusion in space or on metapolulation networks. Alternatively, an effective force of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

Networks are commonly used to define underlying interaction structures where infections, information, or other quantities may spread. Although the standard approach has been to aggregate all links into a static structure, some studies…

Physics and Society · Physics 2014-01-23 Luis Enrique Correa Rocha , Vincent D Blondel

Since a significant amount of disease transmission occurs through human-to-human or social contact, understanding who interacts with whom in time and space is essential for disease transmission modeling, prediction, and assessment of…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Mahdi M. Najafabadi , Ali Asgary , Mohammadali Tofighi , Ghassem Tofighi

The versatility of renewal theory is owed to its abstract formulation. Renewals can be interpreted as steps of a random walk, switching events in two-state models, domain crossings of a random motion, etc. We here discuss a renewal process…

Statistical Mechanics · Physics 2014-03-03 Johannes H. P. Schulz , Eli Barkai , Ralf Metzler

Reciprocity, or the stochastic tendency for actors to form mutual relationships, is an essential characteristic of directed network data. Existing latent space approaches to modeling directed networks are severely limited by the assumption…

Methodology · Statistics 2024-11-28 Joshua Daniel Loyal , Xiangyu Wu , Jonathan R. Stewart

Interactional synchrony refers to how the speech or behavior of two or more people involved in a conversation become more finely synchronized with each other, and they can appear to behave almost in direct response to one another. Studies…

Social and Information Networks · Computer Science 2018-07-18 Nicholas Watkins , Ifeoma Nwogu

We study human mobility networks through timeseries of contacts between individuals. Our proposed Random Walkers Induced temporal Graph (RWIG) model generates temporal graph sequences based on independent random walkers that traverse an…

Social and Information Networks · Computer Science 2024-09-16 Anton-David Almasan , Sergey Shvydun , Ingo Scholtes , Piet Van Mieghem

Humans inhabit a world defined by interactions -- with other humans, objects, and environments. These interactive movements not only convey our relationships with our surroundings but also demonstrate how we perceive and communicate with…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Kewei Sui , Anindita Ghosh , Inwoo Hwang , Bing Zhou , Jian Wang , Chuan Guo

This paper proposes a simple self-supervised approach for learning a representation for visual correspondence from raw video. We cast correspondence as prediction of links in a space-time graph constructed from video. In this graph, the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Allan Jabri , Andrew Owens , Alexei A. Efros

The adoption of individual behavioural patterns is largely determined by stimuli arriving from peers via social interactions or from external sources. Based on these influences, individuals are commonly assumed to follow simple or complex…

Computers and Society · Computer Science 2024-06-28 Elsa Andres , Gergely Ódor , Iacopo Iacopini , Márton Karsai

We empirically study the activity patterns of individual blog-posting and find significant memory effects. The memory coefficient first decays in a power law and then turns to an exponential form. Moreover, the inter-event time distribution…

Physics and Society · Physics 2010-11-03 Peng Wang , Tao Zhou , Xiao-Pu Han , Bing-Hong Wang

Complex behavioral contagion in collective evasion of mobile animal groups can be predicted by reconstructing quantitative interaction networks. Based on the assumption of time-scale separation between a fast contagion process and a slower…

Adaptation and Self-Organizing Systems · Physics 2024-08-12 Wenhan Wu , Xiaoping Zheng , Pawel Romanczuk

A new concept of the available force in long-range interaction complex systems is proposed. The relationship between the available force in different time intervals and the interaction parameters of complex systems is described. It is found…

Statistical Mechanics · Physics 2013-07-25 Zhifu Huang , Congjie Ou , Bihong Lin , Guozhen Su , Jincan Chen

Intervals between discrete events representing human activities, as well as other types of events, often obey heavy-tailed distributions, and their impacts on collective dynamics on networks such as contagion processes have been intensively…

Physics and Society · Physics 2020-11-24 Elohim Fonseca dos Reis , Aming Li , Naoki Masuda

Dynamical complex systems composed of interactive heterogeneous agents are prevalent in the world, including urban traffic systems and social networks. Modeling the interactions among agents is the key to understanding and predicting the…

Multiagent Systems · Computer Science 2024-10-30 Siyuan Chen , Jiahai Wang

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

The interest in non-Markovian dynamics within the complex systems community has recently blossomed, due to a new wealth of time-resolved data pointing out the bursty dynamics of many natural and human interactions, manifested in an…

Statistical Mechanics · Physics 2019-04-25 Antoine Moinet , Michele Starnini , Romualdo Pastor-Satorras

We investigate the effect of groups on a bi-directional flow, by using novel computational methods. Our focus is on self-organisation phenomena, and more specifically on the time needed for the occurrence of pedestrian lanes, their…

Physics and Society · Physics 2019-10-11 Francesco Zanlungo , Luca Crociani , Zeynep Yücel , Takayuki Kanda