Fast and scalable likelihood maximization for exponential random graph models with local constraints

N Vallarano, M Bruno, E Marchese, G Trapani… - Scientific Reports, 2021 - nature.com
Abstract Exponential Random Graph Models (ERGMs) have gained increasing popularity
over the years. Rooted into statistical physics, the ERGMs framework has been successfully …

Goodness of fit for log-linear ergms

E Gross, S Petrović, D Stasi - arXiv preprint arXiv:2104.03167, 2021 - arxiv.org
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 …

Topics in exponential random graph modeling

RP Bomiriya - 2014 - etda.libraries.psu.edu
Exponential-family Random Graph Models (ERGMs) are a class of models that is frequently
used for modeling social networks. ERGMs allow structural features as well as covariate …

[PDF][PDF] Consistent M-estimation of curved exponentialfamily random graph models with local dependence and growing neighborhoods

M Schweinberger, J Stewart - 2016 - researchgate.net
In general, statistical inference for exponential-family random graph models of dependent
random graphs given a single observation of a random graph is problematic. We show that …

Higher-Order Graphon Theory: Fluctuations, Degeneracies, and Inference

A Chatterjee, S Dan, BB Bhattacharya - arXiv preprint arXiv:2404.13822, 2024 - arxiv.org
Exchangeable random graphs, which include some of the most widely studied network
models, have emerged as the mainstay of statistical network analysis in recent years …

[引用][C] Introduction to Exponential-family Random Graph (ERG or p*) modeling with ergm

CT Butts, M Morris, PN Krivitsky, Z Almquist… - … http://cran. r-project. org/web …, 2014

GLMLE: graph-limit enabled fast computation for fitting exponential random graph models to large social networks

R He, T Zheng - Social Network Analysis and Mining, 2015 - Springer
Large network, as a form of big data, has received increasing amount of attention in data
science, especially for large social network, which is reaching the size of hundreds of …

Baseline mixture models for social networks

CT Butts - arXiv preprint arXiv:1710.02773, 2017 - arxiv.org
Continuous mixtures of distributions are widely employed in the statistical literature as
models for phenomena with highly divergent outcomes; in particular, many familiar heavy …

[HTML][HTML] Bayesian nonparametric mixtures of Exponential Random Graph Models for ensembles of networks

S Ren, X Wang, P Liu, J Zhang - Social Networks, 2023 - Elsevier
Ensembles of networks arise in various fields where multiple independent networks are
observed, for example, a collection of student networks from different classes. However …

[HTML][HTML] statnet: Software tools for the representation, visualization, analysis and simulation of network data

MS Handcock, DR Hunter, CT Butts… - Journal of statistical …, 2008 - ncbi.nlm.nih.gov
Abstract statnet is a suite of software packages for statistical network analysis. The packages
implement recent advances in network modeling based on exponential-family random graph …