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For statistical analysis of network data, the $\beta$-model has emerged as a useful tool, thanks to its flexibility in incorporating nodewise heterogeneity and theoretical tractability. To generalize the $\beta$-model, this paper proposes…

Statistics Theory · Mathematics 2024-10-01 Stefan Stein , Rui Feng , Chenlei Leng

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 develop a dynamic model of discrete choice that incorporates peer effects into random consideration sets. We characterize the equilibrium behavior and study the empirical content of the model. In our setup, changes in the choices of…

Econometrics · Economics 2021-05-19 Nail Kashaev , Natalia Lazzati

The spread of information through socio-technical systems determines which individuals are the first to gain access to opportunities and insights. Yet, the pathways through which information flows can be skewed, leading to systematic…

Physics and Society · Physics 2025-11-12 Moritz Laber , Samantha Dies , Joseph Ehlert , Brennan Klein , Tina Eliassi-Rad

This article develops a class of models called Sender/Receiver Finite Mixture Exponential Random Graph Models (SRFM-ERGMs) that enables inference on networks. This class of models extends the existing Exponential Random Graph Modeling…

Methodology · Statistics 2019-09-06 Teague R Henry , Kathleen M Gates , Mitchell J Prinstein , Douglas Steinley

This paper develops a framework for identification, estimation, and inference on the causal mechanisms driving endogenous social network formation. Identification is challenging because of unobserved confounders and reverse causality;…

Econometrics · Economics 2026-04-21 Maximilian Kasy , Elizabeth Linos , Sanaz Mobasseri

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie…

Physics and Society · Physics 2019-03-28 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

Social media allow for an unprecedented amount of interaction between people online. A fundamental aspect of human social behavior, however, is the tendency of people to associate themselves with like-minded individuals, forming homogeneous…

Social and Information Networks · Computer Science 2014-04-01 Desislava Hristova , Mirco Musolesi , Cecilia Mascolo

Homophily, the tendency of individuals to associate with others who share similar traits, has been identified as a major driving force in the formation and evolution of social ties. In many cases, it is not clear if homophily is the result…

Physics and Society · Physics 2017-09-01 Ivan Smirnov , Stefan Thurner

Xenophobic interactions play a role as important as homophilic ones in shaping many dynamical processes on social networks, such as opinion formation, social balance, or epidemic spreading. In this paper, we use belief propagation and Monte…

Physics and Society · Physics 2025-06-24 Alejandro Castro , Tuan Minh Pham , Ernesto Ortega , David Machado

Large-scale social networks are thought to contribute to polarization by amplifying people's biases. However, the complexity of these technologies makes it difficult to identify the mechanisms responsible and to evaluate mitigation…

Social and Information Networks · Computer Science 2022-10-07 Mathew D. Hardy , Bill D. Thompson , P. M. Krafft , Thomas L. Griffiths

Fads, product adoption, mobs, rumors, memes, and emergent norms are diverse social contagions that have been modeled as network cascades. Empirical study of these cascades is vulnerable to what we describe as the "opacity problem": the…

Social and Information Networks · Computer Science 2018-11-21 George Berry , Christopher J. Cameron , Patrick Park , Michael W. Macy

Estimating causal effects on networks is challenging because treatments may affect both treated units and their neighbors, while network homophily induces dependence and confounding. These challenges are amplified when causal effects are…

Machine Learning · Statistics 2026-05-12 Yuanchen Wu , Yubai Yuan

Recently, contagion-based (disease, information, etc.) spreading on social networks has been extensively studied. In this paper, other than traditional full interaction, we propose a partial interaction based spreading model, considering…

Physics and Society · Physics 2015-06-17 Zi-Ke Zhang , Chu-Xu Zhang , Xiao-Pu Han , Chuang Liu

Online hate messaging is a pervasive issue plaguing the well-being of social media users. This research empirically investigates a novel theory positing that online hate may be driven primarily by the pursuit of social approval rather than…

Social and Information Networks · Computer Science 2024-03-01 Julie Jiang , Luca Luceri , Joseph B. Walther , Emilio Ferrara

Homophily is the seemingly ubiquitous tendency for people to connect and interact with other individuals who are similar to them. This is a well-documented principle and is fundamental for how society organizes. Although many social…

Social and Information Networks · Computer Science 2023-01-12 Nate Veldt , Austin R. Benson , Jon Kleinberg

Social networks exhibit strikingly systematic patterns across a wide range of human contexts. While genetic variation accounts for a significant portion of the variation in many complex social behaviors, the heritability of egocentric…

Genomics · Quantitative Biology 2009-02-11 James H. Fowler , Christopher T. Dawes , Nicholas A. Christakis

We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by…

Statistical Mechanics · Physics 2021-10-26 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

Social relations are leveraged to tackle the sparsity issue of user-item interaction data in recommendation under the assumption of social homophily. However, social recommendation paradigms predominantly focus on homophily based on user…

Information Retrieval · Computer Science 2024-02-21 Wei Jiang , Xinyi Gao , Guandong Xu , Tong Chen , Hongzhi Yin

Exponential-family random graph models (ERGMs) provide a principled way to model and simulate features common in human social networks, such as propensities for homophily and friend-of-a-friend triad closure. We show that, without…

Methodology · Statistics 2012-01-09 Pavel N. Krivitsky , Mark S. Handcock , Martina Morris