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Statistical network analysis primarily focuses on inferring the parameters of an observed network. In many applications, especially in the social sciences, the observed data is the groups formed by individual subjects. In these…

Methodology · Statistics 2023-08-09 Zhibing He , Yunpeng Zhao , Peter Bickel , Charles Weko , Dan Cheng , Jirui Wang

Statistical network analysis primarily focuses on inferring the parameters of an observed network. In many applications, especially in the social sciences, the observed data is the groups formed by individual subjects. In these…

Statistics Theory · Mathematics 2020-10-16 Yunpeng Zhao , Peter Bickel , Charles Weko

Social network analysis presupposes that observed social behavior is influenced by an unobserved network. Traditional approaches to inferring the latent network use pairwise descriptive statistics that rely on a variety of measures of…

Applications · Statistics 2018-09-03 Charles Weko , Yunpeng Zhao

In medical research, economics, and the social sciences data frequently appear as subsets of a set of objects. Over the past century a number of descriptive statistics have been developed to construct network structure from such data.…

Social and Information Networks · Computer Science 2016-09-13 Yunpeng Zhao , Charles Weko

In this work, we study the event occurrences of individuals interacting in a network. To characterize the dynamic interactions among the individuals, we propose a group network Hawkes process (GNHP) model whose network structure is observed…

Methodology · Statistics 2023-08-31 Guanhua Fang , Ganggang Xu , Haochen Xu , Xuening Zhu , Yongtao Guan

We propose a novel probabilistic framework to model continuous-time interaction events data. Our goal is to infer the \emph{implicit} community structure underlying the temporal interactions among entities, and also to exploit how the…

Social and Information Networks · Computer Science 2020-06-24 Sikun Yang , Heinz Koeppl

Understanding leadership dynamics in collective behavior is a key challenge in animal ecology, swarm robotics, and intelligent transportation. Traditional information-theoretic approaches, including Transfer Entropy (TE) and Time-Lagged…

Multiagent Systems · Computer Science 2025-07-08 Thayanne França da Silva , José Everardo Bessa Maia

Temporal networks are characterised by interdependent link events between nodes, forming ordered sequences of links that may represent specific information flows in the system. Nevertheless, representing temporal networks using discrete…

Social and Information Networks · Computer Science 2025-01-30 Yuwei Zhu , Paolo Barucca

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Networks are well-established representations of social systems, and temporal networks are widely used to study their dynamics. Temporal network data often consist in a succession of static networks over consecutive time windows whose…

Physics and Society · Physics 2021-09-30 Valeria Gelardi , Didier Le Bail , Alain Barrat , Nicolas Claidière

Temporal networks observed continuously over time through timestamped relational events data are commonly encountered in application settings including online social media communications, financial transactions, and international relations.…

Machine Learning · Statistics 2025-05-29 Lingfei Zhao , Hadeel Soliman , Kevin S. Xu , Subhadeep Paul

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

How can we identify groups of primate individuals which could be conjectured to drive social structure? To address this question, one of us has collected a time series of data for social interactions between chimpanzees. Here we use a…

Machine Learning · Statistics 2025-08-05 Yixuan He , Aaron Sandel , David Wipf , Mihai Cucuringu , John Mitani , Gesine Reinert

Historically studies of behaviour on networks have focused on the behaviour of individuals (node-based) or on the aggregate behaviour of the entire network. We propose a new method to decompose a temporal network into macroscale components…

Social and Information Networks · Computer Science 2018-08-16 Andrew Mellor

The focus of this work is on developing probabilistic models for user activity in social networks by incorporating the social network influence as perceived by the user. For this, we propose a coupled Hidden Markov Model, where each user's…

Physics and Society · Physics 2013-05-10 Vasanthan Raghavan , Greg Ver Steeg , Aram Galstyan , Alexander G. Tartakovsky

A standard technique for understanding underlying dependency structures among a set of variables posits a shared conditional probability distribution for the variables measured on individuals within a group. This approach is often referred…

Machine Learning · Statistics 2014-05-13 Elham Azizi , James E. Galagan , Edoardo M. Airoldi

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

Social and Information Networks · Computer Science 2017-09-21 Tiago P. Peixoto , Martin Rosvall

In the study of time-dependent (i.e., temporal) networks, researchers often examine the evolution of communities, which are sets of densely connected sets of nodes that are connected sparsely to other nodes. An increasingly prominent…

Social and Information Networks · Computer Science 2026-01-23 Theodore Y. Faust , Arash A. Amini , Mason A. Porter

Collecting network data directly from network members can be challenging. One alternative involves inferring a network from observed groups, for example, inferring a network of scientific collaboration from researchers' observed paper…

Social and Information Networks · Computer Science 2024-05-09 Zachary P. Neal

A social interaction (so-called higher-order event/interaction) can be regarded as the activation of the hyperlink among the corresponding individuals. Social interactions can be, thus, represented as higher-order temporal networks, that…

Physics and Society · Physics 2024-08-12 H. A. Bart Peters , Alberto Ceria , Huijuan Wang
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