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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

Temporal exponential random graph models (TERGM) are powerful statistical models that can be used to infer the temporal pattern of edge formation and elimination in complex networks (e.g., social networks). TERGMs can also be used in a…

Social and Information Networks · Computer Science 2024-09-17 Yifan Huang , Clayton Barham , Eric Page , PK Douglas

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

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

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

Social and Information Networks · Computer Science 2025-02-05 Angelo Mele

I propose an estimation algorithm for Exponential Random Graph Models (ERGM), a popular statistical network model for estimating the structural parameters of strategic network formation in economics and finance. Existing methods often…

Econometrics · Economics 2025-12-09 Yoon Choi

Exponential random graph models, or ERGMs, are a flexible and general class of models for modeling dependent data. While the early literature has shown them to be powerful in capturing many network features of interest, recent work…

Methodology · Statistics 2022-01-10 Vishesh Karwa , Sonja Petrović , Denis Bajić

Several brain disorders can be detected by observing alterations in the brain's structural and functional connectivities. Neurological findings suggest that early diagnosis of brain disorders, such as mild cognitive impairment (MCI), can…

Neurons and Cognition · Quantitative Biology 2021-10-22 Alpay Tekin , Ahmed Nebli , Islem Rekik

This article investigates and compares three approaches to link prediction in colaboration networks, namely, an ERGM (Exponential Random Graph Model; Robins et al. 2007), a GCN (Graph Convolutional Network; Kipf and Welling 2017), and a…

Applications · Statistics 2024-11-05 Juan Sosa , Diego Martínez , Nicolás Guerrero

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

Robotic arms are increasingly being used in collaborative environments, requiring an accurate understanding of human intentions to ensure both effectiveness and safety. Electroencephalogram (EEG) signals, which measure brain activity,…

Signal Processing · Electrical Eng. & Systems 2024-11-20 Byeong-Hoo Lee , Kang Yin

Dynamic networks are commonly used in applications where relational data is observed over time. Statistical models for such data should capture not only the temporal dependencies between networks observed in time, but also the structural…

Methodology · Statistics 2017-04-10 Jihui Lee , Gen Li , James D. Wilson

The Exponential-family Random Graph Model (ERGM) is a powerful model to fit networks with complex structures. However, for dynamic valued networks whose observations are matrices of counts that evolve over time, the development of the ERGM…

Methodology · Statistics 2023-06-21 Yik Lun Kei , Yanzhen Chen , Oscar Hernan Madrid Padilla

Representing networks in a low dimensional latent space is a crucial task with many interesting applications in graph learning problems, such as link prediction and node classification. A widely applied network representation learning…

Machine Learning · Computer Science 2019-11-21 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

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

Many popular models from the networks literature can be viewed through a common lens of contingency tables on network dyads, resulting in \emph{log-linear ERGMs}: exponential family models for random graphs whose sufficient statistics are…

Methodology · Statistics 2024-03-05 Elizabeth Gross , Sonja Petrović , Despina Stasi

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

Substantive research in the Social Sciences regularly investigates signed networks, where edges between actors are either positive or negative. For instance, schoolchildren can be friends or rivals, just as countries can cooperate or fight…

Social and Information Networks · Computer Science 2025-06-18 Cornelius Fritz , Marius Mehrl , Paul W. Thurner , Göran kauermann

Graphical models have been used extensively for modeling brain connectivity networks. However, unmeasured confounders and correlations among measurements are often overlooked during model fitting, which may lead to spurious scientific…

Methodology · Statistics 2020-12-10 Yanxin Jin , Yang Ning , Kean Ming Tan