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Faced with uncertainty in decision making, individuals often turn to their social networks to inform their decisions. In consequence, these networks become central to how new products and behaviors spread. A key structural feature of…

Physics and Society · Physics 2025-10-07 Luca Lazzaro , Manuel S. Mariani , René Algesheimer , Radu Tanase

There is a rich history of models for the interaction of a biological contagion like influenza with the spread of related information such as an influenza vaccination campaign. Recent work on the spread of interacting contagions on networks…

Physics and Society · Physics 2020-09-02 Laurent Hébert-Dufresne , Dina Mistry , Benjamin M. Althouse

Friendship and antipathy exist in concert with one another in real social networks. Despite the role they play in social interactions, antagonistic ties are poorly understood and infrequently measured. One important theory of negative ties…

Social science research increasingly benefits from statistical methods for understanding the structured nature of social life, including for social network data. However, the application of statistical network models within large-scale…

Social and Information Networks · Computer Science 2020-02-05 Alex D. Stivala , H. Colin Gallagher , David A. Rolls , Peng Wang , Garry L. Robins

Much data with graph structures satisfy the principle of homophily, meaning that connected nodes tend to be similar with respect to a specific attribute. As such, ubiquitous datasets for graph machine learning tasks have generally been…

Machine Learning · Computer Science 2021-07-07 Derek Lim , Xiuyu Li , Felix Hohne , Ser-Nam Lim

The observation that individuals tend to be friends with people who are similar to themselves, commonly known as homophily, is a prominent and well-studied feature of social networks. Many machine learning methods exploit homophily to…

Social and Information Networks · Computer Science 2017-05-16 Kristen M. Altenburger , Johan Ugander

Behavioral adoptions are influenced by peers in different ways. While some individuals may change after a single incoming influence, others need multiple cumulated attempts. These two mechanism, known as the simple and the complex…

Physics and Society · Physics 2024-12-02 Elsa Andres , Romualdo Pastor-Satorras , Michele Starnini , Márton Karsai

This paper provides asymptotically valid tests for the null hypothesis of no treatment effect heterogeneity. Importantly, I consider the presence of heterogeneity that is not explained by observed characteristics, or so-called idiosyncratic…

Econometrics · Economics 2023-04-04 Jaime Ramirez-Cuellar

Data describing human interactions often suffer from incomplete sampling of the underlying population. As a consequence, the study of contagion processes using data-driven models can lead to a severe underestimation of the epidemic risk.…

Physics and Society · Physics 2015-11-19 Mathieu Génois , Christian L. Vestergaard , Ciro Cattuto , Alain Barrat

We study the efficacy of strategies aimed at controlling the spread of deception-based cyber-threats unfolding on online social networks. We model directed and temporal interactions between users using a family of activity-driven networks…

Physics and Society · Physics 2025-10-02 Nicolò Gozzi , Nicola Perra

Communities typically capture homophily as people of the same community share many common features. This paper is motivated by the problem of community detection in social networks, as it can help improve our understanding of the network…

Computer Science and Game Theory · Computer Science 2017-09-01 Radhika Arava

Testing for independence between graphs is a problem that arises naturally in social network analysis and neuroscience. In this paper, we address independence testing for inhomogeneous Erd\H{o}s-R\'{e}nyi random graphs on the same vertex…

Methodology · Statistics 2023-04-19 Yukun Song , Carey E. Priebe , Minh Tang

The individual-based model of simple contagion processes is considered on regular graphs. This model explicitly incorporates the adjacency matrix of the network enabling us to study the effect of network structure on the dynamic of the…

Physics and Society · Physics 2025-12-10 Noémi Nagy , Sándor Horváth , Balázs Maga , Péter L. Simon

Attributed network data is becoming increasingly common across fields, as we are often equipped with information about nodes in addition to their pairwise connectivity patterns. This extra information can manifest as a classification, or as…

Social and Information Networks · Computer Science 2018-05-22 Natalie Stanley , Marc Niethammer , Peter J. Mucha

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

Methodology · Statistics 2026-03-11 Markku Kuismin

We consider that a network is an observation, and a collection of observed networks forms a sample. In this setting, we provide methods to test whether all observations in a network sample are drawn from a specified model. We achieve this…

Methodology · Statistics 2020-04-17 P-A. G. Maugis , Carey E. Priebe , S. C. Olhede , P. J. Wolfe

This study demonstrates the existence of a testable condition for the identification of the causal effect of a treatment on an outcome in observational data, which relies on two sets of variables: observed covariates to be controlled for…

Econometrics · Economics 2026-05-20 Martin Huber , Jannis Kueck

I establish primitive conditions for unconfoundedness in a coherent model that features heterogeneous treatment effects, spillovers, selection-on-observables, and network formation. I identify average partial effects under minimal…

Econometrics · Economics 2022-09-30 Alejandro Sanchez-Becerra

Community detection refers to the problem of clustering the nodes of a network into groups. Existing inferential methods for community structure mainly focus on unweighted (binary) networks. Many real-world networks are nonetheless weighted…

Statistics Theory · Mathematics 2022-04-21 Mingao Yuan , Zuofeng Shang

A rich literature has explored the modeling of homophily and other forms of nonuniform mixing associated with individual-level covariates within the exponential family random graph (ERGM) framework. Such differential mixing does not fully…

Social and Information Networks · Computer Science 2019-08-06 Francis Lee , Carter T. Butts