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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…

统计方法学 · 统计学 2012-08-02 Ian Fellows , Mark S. Handcock

Exponential-family random graph models (ERGMs) are probabilistic network models that are parametrized by sufficient statistics based on structural (i.e., graph-theoretic) properties. The ergm package for the R statistical computing system…

社会与信息网络 · 计算机科学 2015-06-24 Omer Nebil Yaveroglu , Sean M. Fitzhugh , Maciej Kurant , Athina Markopoulou , Carter T. Butts , Natasa Przulj

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…

统计方法学 · 统计学 2021-11-24 Alex Stivala , Garry Robins , Alessandro Lomi

The exponential family random graph modeling (ERGM) framework provides a flexible approach for the statistical analysis of networks. As ERGMs typically involve normalizing factors that are costly to compute, practical inference relies on a…

统计方法学 · 统计学 2022-10-12 Fan Yin , Carter T. Butts

The exponential-family random graph models (ERGMs) have emerged as an important framework for modeling social networks for a wide variety of relational types. ERGMs for valued networks are less well-developed than their unvalued…

统计方法学 · 统计学 2023-08-01 Peng Huang , Carter T. Butts

Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework for modeling sparse and dense random graphs, short- and long-tailed degree distributions, covariates, and a wide range of complex dependencies. Special…

统计方法学 · 统计学 2021-05-21 Michael Schweinberger , Pavel N. Krivitsky , Carter T. Butts , Jonathan Stewart

Exponential-family random graph models (ERGMs) provide a principled and flexible way to model and simulate features common in social networks, such as propensities for homophily, mutuality, and friend-of-a-friend triad closure, through…

统计方法学 · 统计学 2012-08-01 Pavel N. Krivitsky

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…

社会与信息网络 · 计算机科学 2023-07-25 Helal El-Zaatari , Fei Yu , Michael R Kosorok

A major line of contemporary research on complex networks is based on the development of statistical models that specify the local motifs associated with macro-structural properties observed in actual networks. This statistical approach…

统计方法学 · 统计学 2018-08-02 Maksym Byshkin , Alex Stivala , Antonietta Mira , Garry Robins , Alessandro Lomi

With the growth of interest in network data across fields, the Exponential Random Graph Model (ERGM) has emerged as the leading approach to the statistical analysis of network data. ERGM parameter estimation requires the approximation of an…

统计计算 · 统计学 2017-08-10 Christian S. Schmid , Bruce A. 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…

社会与信息网络 · 计算机科学 2025-02-05 Angelo Mele

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…

机器学习 · 统计学 2009-08-11 Steve Hanneke , Wenjie Fu , Eric Xing

Exponential random graph models (ERGMs), also known as p* models, have been utilized extensively in the social science literature to study complex networks and how their global structure depends on underlying structural components. However,…

应用统计 · 统计学 2015-05-19 Sean L. Simpson , Satoru Hayasaka , Paul J. Laurienti

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…

统计计算 · 统计学 2021-04-07 Alberto Caimo , Lampros Bouranis , Robert Krause , Nial Friel

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…

分子网络 · 定量生物学 2023-12-12 Alex Stivala

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…

统计方法学 · 统计学 2012-01-09 Pavel N. Krivitsky , Mark S. Handcock , Martina Morris

Much of the theory of estimation for exponential family models, which include exponential-family random graph models (ERGMs) as a special case, is well-established and maximum likelihood estimates in particular enjoy many desirable…

统计计算 · 统计学 2020-09-07 Christian S. Schmid , David R. Hunter

The paper demonstrates the use of LASSO-based estimation in network models. Taking the Exponential Random Graph Model (ERGM) as a flexible and widely used model for network data analysis, the paper focuses on the question of how to specify…

统计方法学 · 统计学 2024-09-13 Sergio Buttazzo , Göran Kauermann

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.…

物理与社会 · 物理学 2014-04-08 Agata Fronczak

We define a general class of network formation models, Statistical Exponential Random Graph Models (SERGMs), that nest standard exponential random graph models (ERGMs) as a special case. We provide the first general results on when these…

物理与社会 · 物理学 2014-06-26 Arun G. Chandrasekhar , Matthew O. Jackson
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