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Lasso Meets Horseshoe : A Survey
by
Bhadra, Anindya
, Polson, Nicholas G
, Willard, Brandon T
, Datta, Jyotishka
in
Bayesian analysis
/ Computational geometry
/ Computing time
/ Convexity
/ Optimization
/ Regularization
2019
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Do you wish to request the book?
Lasso Meets Horseshoe : A Survey
by
Bhadra, Anindya
, Polson, Nicholas G
, Willard, Brandon T
, Datta, Jyotishka
in
Bayesian analysis
/ Computational geometry
/ Computing time
/ Convexity
/ Optimization
/ Regularization
2019
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Paper
Lasso Meets Horseshoe : A Survey
2019
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Overview
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 regularization. Lasso is a gold standard for predictor selection while horseshoe is a state-of-the-art Bayesian estimator for sparse signals. Lasso is fast and scalable and uses convex optimization whilst the horseshoe is non-convex. Our novel perspective focuses on three aspects: (i) theoretical optimality in high dimensional inference for the Gaussian sparse model and beyond, (ii) efficiency and scalability of computation and (iii) methodological development and performance.
Publisher
Cornell University Library, arXiv.org
Subject
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