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The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of…

Physics and Society · Physics 2024-05-15 Anna Gallo , Diego Garlaschelli , Renaud Lambiotte , Fabio Saracco , Tiziano Squartini

This paper revisits the classical concept of network modularity and its spectral relaxations used throughout graph data analysis. We formulate and study several modularity statistic variants for which we establish asymptotic distributional…

Methodology · Statistics 2024-02-26 Anirban Mitra , Konasale Prasad , Joshua Cape

Urban segregation research has long relied on residential patterns, yet growing evidence suggests that racial/ethnic segregation also manifests systematically in mobility behaviors. Leveraging anonymized mobile device data from New York…

Physics and Society · Physics 2025-08-26 Wei-Peng Nie , Tian-Rong Ding , Xiao-Yong Yan , Tao Zhou , Zi-You Gao

This paper addresses the sample selection model within the context of the gender gap problem, where even random treatment assignment is affected by selection bias. By offering a robust alternative free from distributional or specification…

Econometrics · Economics 2024-10-04 Xiaolin Sun , Xueyan Zhao , D. S. Poskitt

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

Citation and coauthor networks offer an insight into the dynamics of scientific progress. We can also view them as representations of a causal structure, a logical process captured in a graph. From a causal perspective, we can ask questions…

Digital Libraries · Computer Science 2016-12-09 Peter Wittek , Sándor Darányi , Gustaf Nelhans

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

Understanding how individual learning behavior and structural dynamics interact is essential to modeling emergent phenomena in socioeconomic networks. While bounded rationality and network adaptation have been widely studied, the role of…

Physics and Society · Physics 2025-10-29 Chanuka Karavita , Zehua Lyu , Dharshana Kasthurirathna , Mahendra Piraveenan

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

General Economics · Economics 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard

Heterogeneity is a key aspect of complex networks, often emerging by looking at the distribution of node properties, from the milestone observations on the degree to the recent developments in mixing pattern estimation. Mixing patterns, in…

Social and Information Networks · Computer Science 2021-12-01 Salvatore Citraro , Letizia Milli , Rémy Cazabet , Giulio Rossetti

The systematic differences of gender representation across occupations, gender-based occupational segregation, has been suggested as one of the most important determinants of the still existing gender wage gap. Despite some signs of a…

Social and Information Networks · Computer Science 2021-08-25 Joana Passinhas , Tanya Araújo

A prominent threat to causal inference about peer effects over social networks is the presence of homophily bias, that is, social influence between friends and families is entangled with common characteristics or underlying similarities…

Methodology · Statistics 2020-02-18 Lan Liu , Eric Tchetgen Tchetgen

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

A widely recognized organizing principle of networks is structural homophily, which suggests that people with more common neighbors are more likely to connect with each other. However, what influence the diverse structures embedded in…

Social and Information Networks · Computer Science 2017-10-06 Yuxiao Dong , Reid A. Johnson , Jian Xu , Nitesh V. Chawla

We introduce interior-boundary assortativity profiles as a structural refinement of Newman's assortativity coefficient and show that they arise naturally from epidemic dynamics on networks. Given a fixed partition of the node set, edges are…

Social and Information Networks · Computer Science 2026-01-28 Moses Boudourides

Nominal assortativity (or discrete assortativity) is widely used to characterize group mixing patterns and homophily in networks, enabling researchers to analyze how groups interact with one another. Here we demonstrate that the measure…

Physics and Society · Physics 2023-09-06 Fariba Karimi , Marcos Oliveira

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

Claiming causal inferences in network settings necessitates careful consideration of the often complex dependency between outcomes for actors. Of particular importance are treatment spillover or outcome interference effects. We consider…

Methodology · Statistics 2022-07-18 Duncan A. Clark , Mark S. Handcock

We consider processes on social networks that can potentially involve three factors: homophily, or the formation of social ties due to matching individual traits; social contagion, also known as social influence; and the causal effect of an…

Applications · Statistics 2022-03-18 Cosma Rohilla Shalizi , Andrew C. Thomas

Statistical inference for exponential-family models of random graphs with dependent edges is challenging. We stress the importance of additional structure and show that additional structure facilitates statistical inference. A simple…

Statistics Theory · Mathematics 2020-03-13 Michael Schweinberger , Jonathan Stewart