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Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Networks are important structures used to model complex systems where interactions take place. In a basic network model, entities are represented as nodes, and interaction and relations among them are represented as edges. However, in a…

Social and Information Networks · Computer Science 2021-02-18 Mehmet Emin Aktas , Esra Akbas

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

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

Hypergraphs provide a fundamental framework for representing complex systems involving interactions among three or more entities. As empirical hypergraphs grow in size, characterizing their structural properties becomes increasingly…

Social and Information Networks · Computer Science 2025-06-04 Kazuki Nakajima , Masanao Kodakari , Masaki Aida

Networks have become a key approach to understanding systems of interacting objects, unifying the study of diverse phenomena including biological organisms and human society. One crucial step when studying the structure and dynamics of…

Physics and Society · Physics 2010-09-16 Yong-Yeol Ahn , James P. Bagrow , Sune Lehmann

Network analysis is often focused on characterizing the dependencies between network relations and node-level attributes. Potential relationships are typically explored by modeling the network as a function of the nodal attributes or by…

Methodology · Statistics 2013-06-21 Bailey K. Fosdick , Peter D. Hoff

Understanding the interaction patterns among simultaneous recordings of spike trains from multiple neuronal units is a key topic in neuroscience. However, an optimal approach of assessing these interactions has not been established, as…

Neurons and Cognition · Quantitative Biology 2020-12-17 Gorana Mijatovic , Yuri Antonacci , Tatjana Loncar-Turukalo , Ludovico Minati , Luca Faes

Most real systems consist of a large number of interacting, multi-typed components, while most contemporary researches model them as homogeneous networks, without distinguishing different types of objects and links in the networks.…

Social and Information Networks · Computer Science 2015-11-17 Chuan Shi , Yitong Li , Jiawei Zhang , Yizhou Sun , Philip S. Yu

Opinion dynamics is a central subject of computational social science, and various models have been developed to understand the evolution and formulation of opinions. Existing models mainly focus on opinion dynamics on graphs that only…

Social and Information Networks · Computer Science 2023-10-10 Wanyue Xu , Zhongzhi Zhang

A framework integrating information theory and network science is proposed, giving rise to a potentially new area. By incorporating and integrating concepts such as complexity, coding, topological projections and network dynamics, the…

Information Theory · Computer Science 2019-04-10 Henrique F. de Arruda , Filipi N. Silva , Cesar H. Comin , Diego R. Amancio , Luciano da F. Costa

Network models are an increasingly popular way to abstract complex psychological phenomena. While the study of the structure of network models has led to many important insights, little attention is paid to how well they predict…

Applications · Statistics 2017-05-29 Jonas Haslbeck , Lourens J Waldorp

The search for linguistic patterns, stylometry and forensic linguistics have in the theory of complex networks, their structures and associated mathematical tools, allies with which to model and analyze texts. In this paper we present a new…

Combinatorics · Mathematics 2022-09-14 Angeles Criado-Alonso , David Aleja , Miguel Romance , Regino Criado

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

Physics and Society · Physics 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Most of the current hypergraph learning methodologies and benchmarking datasets in the hypergraph realm are obtained by lifting procedures from their graph analogs, leading to overshadowing specific characteristics of hypergraphs. This…

Artificial Intelligence · Computer Science 2025-03-19 Lev Telyatnikov , Maria Sofia Bucarelli , Guillermo Bernardez , Olga Zaghen , Simone Scardapane , Pietro Lio

Recently, graph (network) data is an emerging research area in artificial intelligence, machine learning and statistics. In this work, we are interested in whether node's labels (people's responses) are affected by their neighbor's features…

Methodology · Statistics 2022-10-12 Haixiang Zhang , Yingjun Deng , Alan J. X. Guo , Qing-Hu Hou , Ou Wu

Real-world complex systems are often better modeled as hypergraphs, where edges represent group interactions involving multiple entities. Understanding and quantifying homophily (similarity-driven association) in such networks is essential…

Social and Information Networks · Computer Science 2025-11-25 Gaurav Kumar , Akrati Saxena , Chandrakala Meena

Spreading dynamics and complex contagion processes on networks are important mechanisms underlying the emergence of critical transitions, tipping points and other nonlinear phenomena in complex human and natural systems. Increasing amounts…

The Linear Threshold Model is a widely used model that describes how information diffuses through a social network. According to this model, an individual adopts an idea or product after the proportion of their neighbors who have adopted it…

Social and Information Networks · Computer Science 2022-01-28 Christopher Tran , Elena Zheleva

Social networks are of interest to researchers in part because they are thought to mediate the flow of information in communities and organizations. Here we study the temporal dynamics of communication using on-line data, including e-mail…

Physics and Society · Physics 2008-06-20 Gueorgi Kossinets , Jon Kleinberg , Duncan Watts
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