Bayesian inference for general Gaussian graphical models with application to multivariate lattice data

A Dobra, A Lenkoski, A Rodriguez - Journal of the American …, 2011 - Taylor & Francis
We introduce efficient Markov chain Monte Carlo methods for inference and model
determination in multivariate and matrix-variate Gaussian graphical models. Our framework …

Bayesian cluster analysis

S Wade - … Transactions of the Royal Society A, 2023 - royalsocietypublishing.org
Bayesian cluster analysis offers substantial benefits over algorithmic approaches by
providing not only point estimates but also uncertainty in the clustering structure and …

Efficient Gaussian graphical model determination under G-Wishart prior distributions

H Wang, SZ Li - 2012 - projecteuclid.org
This paper proposes a new algorithm for Bayesian model determination in Gaussian
graphical models under G-Wishart prior distributions. We first review recent development in …

Modeling systemic risk with Markov switching graphical SUR models

D Bianchi, M Billio, R Casarin, M Guidolin - Journal of econometrics, 2019 - Elsevier
Abstract We propose a Markov Switching Graphical Seemingly Unrelated Regression (MS-
GSUR) model to investigate time-varying systemic risk based on a range of multi-factor asset …

Covariate-assisted Bayesian graph learning for heterogeneous data

Y Niu, Y Ni, D Pati, BK Mallick - Journal of the American Statistical …, 2024 - Taylor & Francis
In a traditional Gaussian graphical model, data homogeneity is routinely assumed with no
extra variables affecting the conditional independence. In modern genomic datasets, there is …

A direct sampler for G‐Wishart variates

A Lenkoski - Stat, 2013 - Wiley Online Library
The G‐Wishart distribution is the conjugate prior for precision matrices that encode the
conditional independence of a Gaussian graphical model. Although the distribution has …

Model-based clustering with sparse covariance matrices

M Fop, TB Murphy, L Scrucca - Statistics and Computing, 2019 - Springer
Finite Gaussian mixture models are widely used for model-based clustering of continuous
data. Nevertheless, since the number of model parameters scales quadratically with the …

Scalable Bayesian nonparametric clustering and classification

Y Ni, P Müller, M Diesendruck… - … of Computational and …, 2020 - Taylor & Francis
We develop a scalable multistep Monte Carlo algorithm for inference under a large class of
nonparametric Bayesian models for clustering and classification. Each step is …

[PDF][PDF] Nonparametric bayesian networks

K Ickstadt, B Bornkamp, M Grzegorczyk… - Bayesian …, 2010 - academia.edu
A convenient way of modelling complex interactions is by employing graphs or networks
which correspond to conditional independence structures in an underlying statistical model …

Bayesian graphical models for computational network biology

Y Ni, P Müller, L Wei, Y Ji - BMC bioinformatics, 2018 - Springer
Background Computational network biology is an emerging interdisciplinary research area.
Among many other network approaches, probabilistic graphical models provide a …