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Lasso meets horseshoe
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 …
commonly used high-dimensional techniques, namely, the Lasso and horseshoe …
Horseshoe Regularisation for Machine Learning in Complex and Deep Models1
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 …
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
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 …
and/or column sparse. Such matrices appear in recent applications in cognitive …
Lasso meets horseshoe: A survey
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 …
commonly used high-dimensional techniques, namely, the Lasso and horseshoe …
Estimating the Capital Asset Pricing Model with many instruments: A Bayesian shrinkage approach
This paper introduces an instrumental variable Bayesian shrinkage approach specifically
designed for estimating the capital asset pricing model (CAPM) while utilizing a large …
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
The Horseshoe is a widely used and popular continuous shrinkage prior for high-
dimensional Bayesian linear regression. Recently, regularized versions of the Horseshoe …
dimensional Bayesian linear regression. Recently, regularized versions of the Horseshoe …
Variational inference and sparsity in high-dimensional deep Gaussian mixture models
Gaussian mixture models are a popular tool for model-based clustering, and mixtures of
factor analyzers are Gaussian mixture models having parsimonious factor covariance …
factor analyzers are Gaussian mixture models having parsimonious factor covariance …
Bayesian Variable Shrinkage and Selection in Compositional Data Regression: Application to Oral Microbiome
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 …
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
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 …
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 …
by combining the Bayes method with the instrumental variable approach, deriving the …