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A class of models that have been widely used are the exponential random graph (ERG) models, which form a comprehensive family of models that include independent and dyadic edge models, Markov random graphs, and many other graph…

统计理论 · 数学 2022-02-07 Denise Duarte , Rafael Honório Pereira Alves

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 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

Traditional network analysis focuses on binary edges, while real-world relationships are more nuanced, encompassing cooperation, neutrality, and conflict. The rise of negative edges in social media discussions spurred interest in analyzing…

社会与信息网络 · 计算机科学 2026-02-03 Marc Schalberger , Cornelius Fritz

The growing availability of network data and of scientific interest in distributed systems has led to the rapid development of statistical models of network structure. Typically, however, these are models for the entire network, while the…

统计理论 · 数学 2022-03-18 Cosma Rohilla Shalizi , Alessandro Rinaldo

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

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

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

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

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

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

Stochastic network models play a central role across a wide range of scientific disciplines, and questions of statistical inference arise naturally in this context. In this paper we investigate goodness-of-fit and two-sample testing…

统计理论 · 数学 2026-03-27 Subhro Ghosh , Rathindra Nath Karmakar , Samriddha Lahiry

Designing reliable networks consists in finding topological structures, which are able to successfully carry out desired processes and operations. When this set of activities performed within a network are unknown and the only available…

最优化与控制 · 数学 2014-09-22 Stefano Nasini

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

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

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

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

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

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…

社会与信息网络 · 计算机科学 2025-06-18 Cornelius Fritz , Marius Mehrl , Paul W. Thurner , Göran kauermann

Group-based brain connectivity networks have great appeal for researchers interested in gaining further insight into complex brain function and how it changes across different mental states and disease conditions. Accurately constructing…

应用统计 · 统计学 2013-03-05 Sean L. Simpson , Malaak N. Moussa , Paul J. Laurienti
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