Generalized cumulative shrinkage process priors with applications to sparse Bayesian factor analysis

S Frühwirth-Schnatter - Philosophical Transactions of the …, 2023 - royalsocietypublishing.org
The paper discusses shrinkage priors which impose increasing shrinkage in a sequence of
parameters. We review the cumulative shrinkage process (CUSP) prior of Legramanti et …

Bayesian regularized SEM: Current capabilities and constraints

S van Erp - Psych, 2023 - mdpi.com
An important challenge in statistical modeling is to balance how well our model explains the
phenomenon under investigation with the parsimony of this explanation. In structural …

Directed cyclic graph for causal discovery from multivariate functional data

S Roy, RKW Wong, Y Ni - Advances in Neural Information …, 2024 - proceedings.neurips.cc
Discovering causal relationship using multivariate functional data has received a significant
amount of attention very recently. In this article, we introduce a functional linear structural …

Escaping the curse of dimensionality in Bayesian model-based clustering

NK Chandra, A Canale, DB Dunson - Journal of machine learning research, 2023 - jmlr.org
Bayesian mixture models are widely used for clustering of high-dimensional data with
appropriate uncertainty quantification. However, as the dimension of the observations …

Sparse Bayesian factor analysis when the number of factors is unknown

S Frühwirth-Schnatter, D Hosszejni… - Bayesian Analysis, 2024 - projecteuclid.org
There has been increased research interest in the subfield of sparse Bayesian factor
analysis with shrinkage priors, which achieve additional sparsity beyond the natural …

Bayesian factor analysis for inference on interactions

F Ferrari, DB Dunson - Journal of the American Statistical …, 2021 - Taylor & Francis
This article is motivated by the problem of inference on interactions among chemical
exposures impacting human health outcomes. Chemicals often co-occur in the environment …

Infinite mixtures of infinite factor analysers

K Murphy, C Viroli, IC Gormley - 2020 - projecteuclid.org
Infinite Mixtures of Infinite Factor Analysers Page 1 Bayesian Analysis (2020) 15, Number 3,
pp. 937–963 Infinite Mixtures of Infinite Factor Analysers Keefe Murphy ∗ , Cinzia Viroli † …

Hierarchical shrinkage Gaussian processes: applications to computer code emulation and dynamical system recovery

T Tang, S Mak, D Dunson - SIAM/ASA Journal on Uncertainty Quantification, 2024 - SIAM
In many areas of science and engineering, computer simulations are widely used as proxies
for physical experiments, which can be infeasible or unethical. Such simulations are often …

Bayesian pyramids: Identifiable multilayer discrete latent structure models for discrete data

Y Gu, DB Dunson - Journal of the Royal Statistical Society Series …, 2023 - academic.oup.com
High-dimensional categorical data are routinely collected in biomedical and social sciences.
It is of great importance to build interpretable parsimonious models that perform dimension …

Inferring covariance structure from multiple data sources via subspace factor analysis

NK Chandra, DB Dunson, J Xu - Journal of the American Statistical …, 2024 - Taylor & Francis
Factor analysis provides a canonical framework for imposing lower-dimensional structure
such as sparse covariance in high-dimensional data. High-dimensional data on the same …