SCALABLE BAYESIAN METHODS FOR PROBABILISTIC GRAPHICAL MODELS

C Zuo - 2024 - hammer.purdue.edu
In recent years, probabilistic graphical models have emerged as a powerful framework for
understanding complex dependencies in multivariate data, offering a structured approach to …

[PDF][PDF] Large-scale Bayesian structure learning for Gaussian graphical models using marginal pseudo-likelihood

R Mohammadi, M Schoonhoven, L Vogels… - arXiv preprint arXiv …, 2023 - academia.edu
Bayesian methods for learning Gaussian graphical models offer a robust framework that
addresses model uncertainty and incorporates prior knowledge. Despite their theoretical …

High-Dimensional Bayesian Structure Learning in Gaussian Graphical Models using Marginal Pseudo-Likelihood

R Mohammadi, M Schoonhoven, L Vogels… - arXiv preprint arXiv …, 2023 - arxiv.org
Gaussian graphical models depict the conditional dependencies between variables within a
multivariate normal distribution in a graphical format. The identification of these graph …

Fast Bayesian High-Dimensional Gaussian Graphical Model Estimation

S Bhadury, R Mitra, JT Gaskins - arXiv preprint arXiv:2308.02713, 2023 - arxiv.org
Graphical models describe associations between variables through the notion of conditional
independence. Gaussian graphical models are a widely used class of such models where …

Bayesian inference for Gaussian graphical models beyond decomposable graphs

K Khare, B Rajaratnam, A Saha - Journal of the Royal Statistical …, 2018 - academic.oup.com
Bayesian inference for graphical models has received much attention in the literature in
recent years. It is well known that, when the graph G is decomposable, Bayesian inference is …

[PDF][PDF] The R package BDgraph for Bayesian structure learning in graphical models

A Mohammadi, A Dobra - ISBA Bulletin, 2017 - pure.uva.nl
Graphical models [12] provide a probabilistic framework to characterize the multivariate
dependency structure among random variables. These models have received considerable …

Regression‐based Bayesian estimation and structure learning for nonparanormal graphical models

JJ Mulgrave, S Ghosal - … Analysis and Data Mining: The ASA …, 2022 - Wiley Online Library
A nonparanormal graphical model is a semiparametric generalization of a Gaussian
graphical model for continuous variables in which it is assumed that the variables follow a …

Closed-form Bayesian inference of graphical model structures by averaging over trees

L Schwaller, S Robin, M Stumpf - Journal de la société française de …, 2019 - numdam.org
We consider the inference of the structure of an undirected graphical model in a Bayesian
framework. To avoid convergence issues and highly demanding Monte Carlo sampling, we …

Bayesian structure learning in undirected Gaussian graphical models: Literature review with empirical comparison

L Vogels, R Mohammadi… - Journal of the …, 2024 - Taylor & Francis
Gaussian graphical models provide a powerful framework to reveal the conditional
dependency structure between multivariate variables. The process of uncovering the …

[HTML][HTML] Bayesian structure learning in graphical models

S Banerjee, S Ghosal - Journal of Multivariate Analysis, 2015 - Elsevier
We consider the problem of estimating a sparse precision matrix of a multivariate Gaussian
distribution, where the dimension p may be large. Gaussian graphical models provide an …