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This paper provides additional results relevant to the setting, model, and estimators of Auerbach (2019a). Section 1 contains results about the large sample properties of the estimators from Section 2 of Auerbach (2019a). Section 2…

Econometrics · Economics 2021-05-24 Eric Auerbach

The structure of an online social network in most cases cannot be described just by links between its members. We study online social networks, in which members may have certain attitude, positive or negative toward each other, and so the…

Social and Information Networks · Computer Science 2012-12-10 Cong Wang , Andrei A. Bulatov

Network autocorrelation models are widely used to evaluate the impact of social influence on some variable of interest. This is a large class of models that parsimoniously accounts for how one's neighbors influence one's own behaviors or…

Social and Information Networks · Computer Science 2020-05-21 Daniel K. Sewell

Networks are a useful representation for data on connections between units of interests, but the observed connections are often noisy and/or include missing values. One common approach to network analysis is to treat the network as a…

Methodology · Statistics 2017-05-22 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

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 the problem of community detection from the joint observation of a high-dimensional covariate matrix and $L$ sparse networks, all encoding noisy, partial information about the latent community labels of $n$ subjects. In the…

Statistics Theory · Mathematics 2026-02-10 Shuyang Gong , Dong Huang , Zhangsong Li

Current epidemics in the biological and social domains are challenging the standard assumptions of mathematical contagion models. Chief among them are the complex patterns of transmission caused by heterogeneous group sizes and infection…

Physics and Society · Physics 2024-01-03 Guillaume St-Onge , Laurent Hébert-Dufresne , Antoine Allard

In an increasingly interconnected world, understanding and summarizing the structure of these networks becomes increasingly relevant. However, this task is nontrivial; proposed summary statistics are as diverse as the networks they…

Statistics Theory · Mathematics 2020-04-15 Lee M. Gunderson , Gecia Bravo-Hermsdorff

Estimating causal effects is crucial for decision-makers in many applications, but it is particularly challenging with observational network data due to peer interactions. Many algorithms have been proposed to estimate causal effects…

Artificial Intelligence · Computer Science 2024-09-16 Xiaojing Du , Jiuyong Li , Debo Cheng , Lin Liu , Wentao Gao , Xiongren Chen

Peer assessment systems are emerging in many social and multi-agent settings, such as peer grading in large (online) classes, peer review in conferences, peer art evaluation, etc. However, peer assessments might not be as accurate as expert…

Computers and Society · Computer Science 2021-11-09 Alireza A. Namanloo , Julie Thorpe , Amirali Salehi-Abari

We develop a method to decompose causal effects on a social network into an indirect effect mediated by the network, and a direct effect independent of the social network. To handle the complexity of network structures, we assume that…

Methodology · Statistics 2025-03-07 Alex Hayes , Mark M. Fredrickson , Keith Levin

We derive properties of Latent Variable Models for networks, a broad class of models that includes the widely-used Latent Position Models. These include the average degree distribution, clustering coefficient, average path length and degree…

Methodology · Statistics 2015-06-26 Riccardo Rastelli , Nial Friel , Adrian E. Raftery

Predicting risk profiles of individuals in networks (e.g.~susceptibility to a particular disease, or likelihood of smoking) is challenging for a variety of reasons. For one, `local' features (such as an individual's demographic information)…

Social and Information Networks · Computer Science 2016-12-06 Olivia Simpson , Julian McAuley

A model, applicable to a range of innovation diffusion applications with a strong peer to peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households…

Adaptation and Self-Organizing Systems · Physics 2019-10-03 Nicholas J. McCullen , Alastair M. Rucklidge , Catherine S. E. Bale , Tim J. Foxon , William F. Gale

A social (sexual) network is modeled by an extension of the configuration model to the situation where edges have weights, e.g. reflecting the number of sex-contacts between the individuals. An epidemic model is defined on the network such…

Probability · Mathematics 2011-12-21 Tom Britton , David Lindenstrand

We develop a model that captures peer effect heterogeneity by modeling the endogenous spillover to be linear in ordered peer outcomes. Unlike the canonical linear-in-means model, our approach accounts for the distribution of peer outcomes…

Econometrics · Economics 2025-03-04 Eyo I. Herstad , Myungkou Shin

Traditionally, statistical and causal inference on human subjects rely on the assumption that individuals are independently affected by treatments or exposures. However, recently there has been increasing interest in settings, such as…

Methodology · Statistics 2020-02-25 Elizabeth L. Ogburn , Ilya Shpitser , Youjin Lee

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

Here, we review the research we have done on social contagion. We describe the methods we have employed (and the assumptions they have entailed) in order to examine several datasets with complementary strengths and weaknesses, including the…

Social and Information Networks · Computer Science 2012-03-14 Nicholas A. Christakis , James H. Fowler

In this paper, we investigate community detection in networks in the presence of node covariates. In many instances, covariates and networks individually only give a partial view of the cluster structure. One needs to jointly infer the full…

Methodology · Statistics 2018-04-26 Bowei Yan , Purnamrita Sarkar