Bayesian graphical models for modern biological applications

Y Ni, V Baladandayuthapani, M Vannucci… - Statistical Methods & …, 2022 - Springer
Graphical models are powerful tools that are regularly used to investigate complex
dependence structures in high-throughput biomedical datasets. They allow for holistic …

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 …

Bayesian graphical regression

Y Ni, FC Stingo… - Journal of the American …, 2019 - Taylor & Francis
We consider the problem of modeling conditional independence structures in heterogenous
data in the presence of additional subject-level covariates—termed graphical regression …

A Bayesian approach for learning gene networks underlying disease severity in COPD

E Shaddox, FC Stingo, CB Peterson, S Jacobson… - Statistics in …, 2018 - Springer
In this paper, we propose a Bayesian hierarchical approach to infer network structures
across multiple sample groups where both shared and differential edges may exist across …

[HTML][HTML] Learning Gaussian graphical models with fractional marginal pseudo-likelihood

J Leppä-Aho, J Pensar, T Roos, J Corander - International Journal of …, 2017 - Elsevier
We propose a Bayesian approximate inference method for learning the dependence
structure of a Gaussian graphical model. Using pseudo-likelihood, we derive an analytical …

Sparse multi-dimensional graphical models: a unified Bayesian framework

Y Ni, FC Stingo… - Journal of the American …, 2017 - Taylor & Francis
Multi-dimensional data constituted by measurements along multiple axes have emerged
across many scientific areas such as genomics and cancer surveillance. A common …

A computationally efficient Bayesian seemingly unrelated regressions model for high-dimensional quantitative trait loci discovery

L Bottolo, M Banterle, S Richardson… - Journal of the Royal …, 2021 - academic.oup.com
Our work is motivated by the search for metabolite quantitative trait loci (QTL) in a cohort of
more than 5000 people. There are 158 metabolites measured by NMR spectroscopy in the …

On a wider class of prior distributions for graphical models

A Natarajan, W van den Boom, KB Odang… - Journal of Applied …, 2024 - cambridge.org
Gaussian graphical models are useful tools for conditional independence structure
inference of multivariate random variables. Unfortunately, Bayesian inference of latent graph …

Bayesian learning of weakly structural Markov graph laws using sequential Monte Carlo methods

J Olsson, T Pavlenko, FL Rios - 2019 - projecteuclid.org
We present a sequential sampling methodology for weakly structural Markov laws, arising
naturally in a Bayesian structure learning context for decomposable graphical models. As a …

On decomposable random graphs

M Elmasri - arXiv preprint arXiv:1710.03283, 2017 - arxiv.org
Decomposable graphs are known for their tedious and complicated Markov update steps.
Instead of modelling them directly, this work introduces a class of tree-dependent bipartite …