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Analysis of the structure of biological networks often uses statistical tests to establish the over-representation of motifs, which are thought to be important building blocks of such networks, related to their biological functions.…

分子网络 · 定量生物学 2021-11-24 Alex Stivala , Alessandro Lomi

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 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

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) 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-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 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…

统计方法学 · 统计学 2019-08-05 Alberto Caimo , Isabella Gollini

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…

社会与信息网络 · 计算机科学 2024-09-17 Yifan Huang , Clayton Barham , Eric Page , PK Douglas

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…

统计方法学 · 统计学 2024-03-05 Elizabeth Gross , Sonja Petrović , Despina Stasi

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…

统计方法学 · 统计学 2022-01-10 Vishesh Karwa , Sonja Petrović , Denis Bajić

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

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

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…

统计方法学 · 统计学 2016-11-10 James D. Wilson , Matthew J. Denny , Shankar Bhamidi , Skyler Cranmer , Bruce Desmarais

Full probability models are critical for the statistical modeling of complex networks, and yet there are few general, flexible and widely applicable generative methods. We propose a new family of probability models motivated by the idea of…

统计方法学 · 统计学 2018-04-13 Ian E. Fellows

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

Bipartite graphs, representing two-mode networks, arise in many research fields. These networks have two disjoint node sets representing distinct entity types, for example persons and groups, with edges representing associations between the…

统计方法学 · 统计学 2025-08-08 Alex Stivala , Peng Wang , Alessandro Lomi

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…

统计方法学 · 统计学 2026-05-26 Alberto Caimo , Isabella Gollini

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

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…

计量经济学 · 经济学 2025-12-09 Yoon Choi
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