Lasso meets horseshoe

A Bhadra, J Datta, NG Polson, B Willard - Statistical Science, 2019 - JSTOR
The goal of this paper is to contrast and survey the major advances in two of the most
commonly used high-dimensional techniques, namely, the Lasso and horseshoe …

Horseshoe Regularisation for Machine Learning in Complex and Deep Models1

A Bhadra, J Datta, Y Li, N Polson - International Statistical …, 2020 - Wiley Online Library
Since the advent of the horseshoe priors for regularisation, global–local shrinkage methods
have proved to be a fertile ground for the development of Bayesian methodology in machine …

Recovery of simultaneous low rank and two-way sparse coefficient matrices, a nonconvex approach

M Yu, V Gupta, M Kolar - 2020 - projecteuclid.org
We study the problem of recovery of matrices that are simultaneously low rank and row
and/or column sparse. Such matrices appear in recent applications in cognitive …

Lasso meets horseshoe: A survey

A Bhadra, J Datta, NG Polson, BT Willard - arxiv preprint arxiv …, 2017 - arxiv.org
The goal of this paper is to contrast and survey the major advances in two of the most
commonly used high-dimensional techniques, namely, the Lasso and horseshoe …

Estimating the Capital Asset Pricing Model with many instruments: A Bayesian shrinkage approach

CR de Andrade Alves, M Laurini - Mathematics, 2023 - mdpi.com
This paper introduces an instrumental variable Bayesian shrinkage approach specifically
designed for estimating the capital asset pricing model (CAPM) while utilizing a large …

Geometric ergodicity of Gibbs samplers for the Horseshoe and its regularized variants

S Bhattacharya, K Khare, S Pal - Electronic Journal of Statistics, 2022 - projecteuclid.org
The Horseshoe is a widely used and popular continuous shrinkage prior for high-
dimensional Bayesian linear regression. Recently, regularized versions of the Horseshoe …

Variational inference and sparsity in high-dimensional deep Gaussian mixture models

L Kock, N Klein, DJ Nott - Statistics and Computing, 2022 - Springer
Gaussian mixture models are a popular tool for model-based clustering, and mixtures of
factor analyzers are Gaussian mixture models having parsimonious factor covariance …

Bayesian Variable Shrinkage and Selection in Compositional Data Regression: Application to Oral Microbiome

J Datta, D Bandyopadhyay - Journal of the Indian Society for Probability …, 2024 - Springer
Microbiome studies generate multivariate compositional responses, such as taxa counts,
which are strictly non-negative, bounded, residing within a simplex, and subject to unit-sum …

[PDF][PDF] Sparse signal shrinkage and outlier detection in high-dimensional quantile regression with variational Bayes

D Lim, B Park, D Nott, X Wang, T Choi - Statistics and Its Interface, 2020 - researchgate.net
Regression modeling of high-dimensional data, where the number of covariates p is much
larger than the number of observations n, is increasingly common in modern statistical …

Bayesian instrumental variable estimation in linear measurement error models

Q Wang, L Wang, L Wang - Canadian Journal of Statistics, 2024 - Wiley Online Library
In this article, we study the problem of parameter estimation for measurement error models
by combining the Bayes method with the instrumental variable approach, deriving the …