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      Chapter

      Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO
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      Chapter

      Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO

      DOI link for Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO

      Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO book

      Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO

      DOI link for Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO

      Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO book

      ByRay Bai, Veronika Ročková, Edward I. George
      BookHandbook of Bayesian Variable Selection

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      Edition 1st Edition
      First Published 2021
      Imprint Chapman and Hall/CRC
      Pages 28
      eBook ISBN 9781003089018
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      ABSTRACT

      High-dimensional data sets have become ubiquitous in the past few decades, often with many more covariates than observations. In the frequentist setting, penalized likelihood methods are the most popular approach for variable selection and estimation in high-dimensional data. In the Bayesian framework, spike-and-slab methods are commonly used as probabilistic constructs for high-dimensional modeling. Within the context of linear regression, Rocková and George (2018) introduced the spike-and-slab LASSO (SSL), an approach based on a prior which provides a continuum between the penalized likelihood LASSO and the Bayesian point-mass spike-and-slab formulations. Since its inception, the spike-and-slab LASSO has been extended to a variety of contexts, including generalized linear models, factor analysis, graphical models, and nonparametric regression. The goal of this chapter is to survey the landscape surrounding spike-and-slab LASSO methodology. First we elucidate the attractive properties and the computational tractability of SSL priors in high dimensions. We then review methodological developments of the SSL and outline several theoretical developments. We illustrate the methodology on both simulated and real datasets.

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