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Recent advances in computational methods for intractable models have made network data increasingly amenable to statistical analysis. Exponential random graph models (ERGMs) emerged as one of the main families of models capable of capturing…

Computation · Statistics 2021-04-07 Alberto Caimo , Lampros Bouranis , Robert Krause , Nial Friel

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

In this paper we describe the main featuress of the Bergm package for the open-source R software which provides a comprehensive framework for Bayesian analysis for exponential random graph models: tools for parameter estimation, model…

Computation · Statistics 2014-01-29 Alberto Caimo , Nial Friel

Statistical analysis of social networks provides valuable insights into complex network interactions across various scientific disciplines. However, accurate modeling of networks remains challenging due to the heavy computational burden and…

Social and Information Networks · Computer Science 2023-07-25 Helal El-Zaatari , Fei Yu , Michael R Kosorok

Exponential-family random graph models (ERGMs) are a family of network models originating in social network analysis, which have also been applied to biological networks. Advances in estimation algorithms have increased the practical scope…

Molecular Networks · Quantitative Biology 2023-12-12 Alex Stivala

Statistical models for social networks have enabled researchers to study complex social phenomena that give rise to observed patterns of relationships among social actors and to gain a rich understanding of the interdependent nature of…

Methodology · Statistics 2025-09-11 George G. Vega Yon , Andrew Slaughter , Kayla de la Haye

We propose a family of statistical models for social network evolution over time, which represents an extension of Exponential Random Graph Models (ERGMs). Many of the methods for ERGMs are readily adapted for these models, including…

Machine Learning · Statistics 2009-08-11 Steve Hanneke , Wenjie Fu , Eric Xing

Exponential random graph models are a class of widely used exponential family models for social networks. The topological structure of an observed network is modelled by the relative prevalence of a set of local sub-graph configurations…

Computation · Statistics 2013-01-21 Alberto Caimo , Nial Friel

We extend the well-known and widely used Exponential Random Graph Model (ERGM) by including nodal random effects to compensate for heterogeneity in the nodes of a network. The Bayesian framework for ERGMs proposed by Caimo and Friel (2011)…

Applications · Statistics 2015-01-13 Stephanie Thiemichen , Nial Friel , Alberto Caimo , Göran Kauermann

The exponential random graph (ERGM) model is a commonly used statistical framework for studying the determinants of tie formations from social network data. To test scientific theories under the ERGM framework, statistical inferential…

Methodology · Statistics 2023-12-01 Joris Mulder , Nial Friel , Philip Leifeld

Nowadays, exponential random graphs (ERGs) are among the most widely-studied network models. Different analytical and numerical techniques for ERG have been developed that resulted in the well-established theory with true predictive power.…

Physics and Society · Physics 2014-04-08 Agata Fronczak

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

Computation · Statistics 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Random graphs, where the connections between nodes are considered random variables, have wide applicability in the social sciences. Exponential-family Random Graph Models (ERGM) have shown themselves to be a useful class of models for…

Methodology · Statistics 2012-08-02 Ian Fellows , Mark S. Handcock

Exponential random graph models (ERGMs) are widely used for modeling social networks observed at one point in time. However the computational difficulty of ERGM parameter estimation has limited the practical application of this class of…

Methodology · Statistics 2021-11-24 Alex Stivala , Garry Robins , Alessandro Lomi

In most domains of network analysis researchers consider networks that arise in nature with weighted edges. Such networks are routinely dichotomized in the interest of using available methods for statistical inference with networks. The…

Methodology · Statistics 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Social networks as a representation of relational data, often possess multiple types of dependency structures at the same time. There could be clustering (beyond homophily) at a macro level as well as transitivity (a friend's friend is more…

Methodology · Statistics 2017-04-04 Ming Cao

A new modelling approach for the analysis of weighted networks with ordinal/polytomous dyadic values is introduced. Specifically, it is proposed to model the weighted network connectivity structure using a hierarchical multilayer…

Methodology · Statistics 2019-08-05 Alberto Caimo , Isabella Gollini

Datasets that exhibit non-Gaussian characteristics are common in many fields, while the current modeling framework and available software for non-Gaussian models is limited. We introduce Linear Latent Non-Gaussian Models (LLnGMs), a unified…

Methodology · Statistics 2026-03-02 David Bolin , Xiaotian Jin , Alexandre B. Simas , Jonas Wallin

In this paper, we provide a review on both fundamentals of social networks and latent space modeling. The former discusses important topics related to network description, including vertex characteristics and network structure; whereas the…

Social and Information Networks · Computer Science 2020-12-07 Juan Sosa , Lina Buitrago

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

Methodology · Statistics 2025-03-20 Juan Sosa , Carlo Martínez
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