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Motivated by the need for novel robust approaches to modelling the Covid-19 epidemic, this paper treats a population of $N$ individuals as an inhomogeneous random social network (IRSN). The nodes of the network represent different types of…

Populations and Evolution · Quantitative Biology 2020-09-23 T. R. Hurd

Information diffusion, spreading of infectious diseases, and spreading of rumors are fundamental processes occurring in real-life networks. In many practical cases, one can observe when nodes become infected, but the underlying network,…

Social and Information Networks · Computer Science 2022-03-31 Liudmila Prokhorenkova , Alexey Tikhonov , Nelly Litvak

Information and individual activities often spread globally through the network of social ties. While social contagion phenomena have been extensively studied within the framework of threshold models, it is common to make an assumption that…

Physics and Society · Physics 2023-06-07 Teruyoshi Kobayashi

In this paper, for the first time, we study label propagation in heterogeneous graphs under heterophily assumption. Homophily label propagation (i.e., two connected nodes share similar labels) in homogeneous graph (with same types of…

Machine Learning · Computer Science 2017-01-24 Dingxiong Deng , Fan Bai , Yiqi Tang , Shuigeng Zhou , Cyrus Shahabi , Linhong Zhu

An enduring challenge in contagion theory is that the pathways contagions follow through social networks exhibit emergent complexities that are difficult to predict using network structure. Here, we address this challenge by developing a…

Social and Information Networks · Computer Science 2025-10-08 Fabian Tschofenig , Douglas Guilbeault

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

Observational data about human behavior is often heterogeneous, i.e., generated by subgroups within the population under study that vary in size and behavior. Heterogeneity predisposes analysis to Simpson's paradox, whereby the trends…

Social and Information Networks · Computer Science 2022-12-16 Kristina Lerman

Homophily is a graph property describing the tendency of edges to connect similar nodes. There are several measures used for assessing homophily but all are known to have certain drawbacks: in particular, they cannot be reliably used for…

Machine Learning · Computer Science 2024-12-16 Mikhail Mironov , Liudmila Prokhorenkova

We study how information transmission biases arise by the interplay between the structural properties of the network and the dynamics of the information in synthetic scale-free homophilic/heterophilic networks. We provide simple…

Physics and Society · Physics 2022-03-21 Fernando Diaz-Diaz , Maxi San Miguel , Sandro Meloni

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

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

This paper deals with the estimation of exogeneous peer effects for partially observed networks under the new inferential paradigm of design identification, which characterizes the missing data challenge arising with sampled networks with…

Econometrics · Economics 2022-08-22 Mamadou Yauck

In online social networks, it is common to use predictions of node categories to estimate measures of homophily and other relational properties. However, online social network data often lacks basic demographic information about the nodes.…

Social and Information Networks · Computer Science 2020-01-31 George Berry , Antonio Sirianni , Ingmar Weber , Jisun An , Michael Macy

This paper introduces a simple measure of a concordance pattern among observed outcomes along a network, i.e., the pattern in which adjacent outcomes tend to be more strongly correlated than non-adjacent outcomes. The graph concordance…

Methodology · Statistics 2017-09-04 Kyungchul Song

The MBTI personality test and a personal facebook network were used in order to gain some insights on the relationship of social network centrality and path length measures and different personality types. Although the personality…

Social and Information Networks · Computer Science 2014-06-17 Mylonas Charilaos

Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or…

Methodology · Statistics 2018-09-11 Daniele Durante , David B. Dunson

With the emergence of dynamic multiplex networks, corresponding to graphs where multiple types of edges evolve over time, a key inferential task is to determine whether the layers associated with different edge types differ in their…

Methodology · Statistics 2025-12-04 Maximilian Baum , Francesco Sanna Passino , Axel Gandy

The compartmental models used to study epidemic spreading often assume the same susceptibility for all individuals, and are therefore, agnostic about the effects that differences in susceptibility can have on epidemic spreading. Here we…

Physics and Society · Physics 2014-03-12 Daniel Smilkov , Cesar A. Hidalgo , Ljupco Kocarev

This article investigates the impact of user homophily on the social process of information diffusion in online social media. Over several decades, social scientists have been interested in the idea that similarity breeds connection:…

Computers and Society · Computer Science 2010-06-10 Munmun De Choudhury , Hari Sundaram , Ajita John , Doree Duncan Seligmann , Aisling Kelliher

People's perceptions about the size of minority groups in social networks can be biased, often showing systematic over- or underestimation. These social perception biases are often attributed to biased cognitive or motivational processes.…

Physics and Society · Physics 2020-01-13 Eun Lee , Fariba Karimi , Claudia Wagner , Hang-Hyun Jo , Markus Strohmaier , Mirta Galesic