Scaling it up: Stochastic search structure learning in graphical models

H Wang - 2015 - projecteuclid.org
Gaussian concentration graph models and covariance graph models are two classes of
graphical models that are useful for uncovering latent dependence structures among …

Multiple testing and error control in Gaussian graphical model selection

M Drton, MD Perlman - 2007 - projecteuclid.org
Graphical models provide a framework for exploration of multivariate dependence patterns.
The connection between graph and statistical model is made by identifying the vertices of …

Estimation of a covariance matrix with zeros

S Chaudhuri, M Drton, TS Richardson - Biometrika, 2007 - academic.oup.com
We consider estimation of the covariance matrix of a multivariate random vector under the
constraint that certain covariances are zero. We first present an algorithm, which we call …

Maximum likelihood estimation for linear Gaussian covariance models

P Zwiernik, C Uhler, D Richards - Journal of the Royal Statistical …, 2017 - academic.oup.com
We study parameter estimation in linear Gaussian covariance models, which are p-
dimensional Gaussian models with linear constraints on the covariance matrix. Maximum …

Wishart distributions for decomposable covariance graph models

K Khare, B Rajaratnam - 2011 - projecteuclid.org
Gaussian covariance graph models encode marginal independence among the
components of a multivariate random vector by means of a graph G. These models are …

Sequences of regressions and their independences

N Wermuth, K Sadeghi - Test, 2012 - Springer
Ordered sequences of univariate or multivariate regressions provide statistical models for
analysing data from randomized, possibly sequential interventions, from cohort or multi …

[HTML][HTML] Modeling covariance matrices via partial autocorrelations

MJ Daniels, M Pourahmadi - Journal of Multivariate Analysis, 2009 - Elsevier
We study the role of partial autocorrelations in the reparameterization and parsimonious
modeling of a covariance matrix. The work is motivated by and tries to mimic the …

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 …

Probability distributions with summary graph structure

N Wermuth - 2011 - projecteuclid.org
A set of independence statements may define the independence structure of interest in a
family of joint probability distributions. This structure is often captured by a graph that …

[PDF][PDF] Graphical methods for efficient likelihood inference in Gaussian covariance models

M Drton, TS Richardson - Journal of Machine Learning Research, 2008 - jmlr.org
In graphical modelling, a bi-directed graph encodes marginal independences among
random variables that are identified with the vertices of the graph. We show how to transform …