Using contrastive divergence to seed Monte Carlo MLE for exponential-family random graph models

PN Krivitsky - Computational Statistics & Data Analysis, 2017 - Elsevier
Exponential-family models for dependent data have applications in a wide variety of areas,
but the dependence often results in an intractable likelihood, requiring either analytic …

Exponential random graph models (ERGMs) using statnet

M Morris, MS Handcock, CT Butts, DR Hunter… - 2020 - ddd.uab.cat
This workshop will provide an introductory tutorial on exponential-family random graph
models (ERGMs) for social networks, emphasizing a hands-on approach to fitting these …

[图书][B] Random effects models for network data

PD Hoff - 2003 - books.google.com
One impediment to the statistical analysis of network data has been the difficulty in modeling
the dependence among the observations. In the very simple case of binary (0-1) network …

An Optimal Transport Approach for Network Regression

AG Zalles, KM Hung, AE Finneran, L Beaudrot… - arXiv preprint arXiv …, 2024 - arxiv.org
We study the problem of network regression, where one is interested in how the topology of
a network changes as a function of Euclidean covariates. We build upon recent …

Inference in curved exponential family models for networks

DR Hunter, MS Handcock - Journal of computational and graphical …, 2006 - Taylor & Francis
Network data arise in a wide variety of applications. Although descriptive statistics for
networks abound in the literature, the science of fitting statistical models to complex network …

[PDF][PDF] A deterministic partition function approximation for exponential random graph models

W Pu, J Choi, Y Hwang, E Amir - Twenty-Fourth International Joint …, 2015 - ijcai.org
Abstract Exponential Random Graphs Models (ERGM) are common, simple statistical
models for social network and other network structures. Unfortunately, inference and …

A new generative statistical model for graphs: The latent order logistic (LOLOG) model

IE Fellows - arXiv preprint arXiv:1804.04583, 2018 - arxiv.org
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 …

Inference for multiple heterogeneous networks with a common invariant subspace

J Arroyo, A Athreya, J Cape, G Chen, CE Priebe… - Journal of Machine …, 2021 - jmlr.org
The development of models and methodology for the analysis of data from multiple
heterogeneous networks is of importance both in statistical network theory and across a …

Mixed graphical models via exponential families

E Yang, Y Baker, P Ravikumar… - Artificial intelligence …, 2014 - proceedings.mlr.press
Abstract Markov Random Fields, or undirected graphical models are widely used to model
high-dimensional multivariate data. Classical instances of these models, such as Gaussian …

Algebraic Connectivity Characterization of Ensemble Random Hypergraphs

SY Chang - arXiv preprint arXiv:2310.08700, 2023 - arxiv.org
Random hypergraph is a broad concept used to describe probability distributions over
hypergraphs, which are mathematical structures with applications in various fields, eg …