{"title":"Bayes Factors Based on g-Priors for Variable Selection","authors":"G. García-Donato, M. Steel","doi":"10.1201/9781003089018-15","DOIUrl":"https://doi.org/10.1201/9781003089018-15","url":null,"abstract":"","PeriodicalId":403293,"journal":{"name":"Handbook of Bayesian Variable Selection","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122326570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bayesian Estimation of Single and Multiple Graphs","authors":"Christine B. Peterson, F. Stingo","doi":"10.1201/9781003089018-14","DOIUrl":"https://doi.org/10.1201/9781003089018-14","url":null,"abstract":"","PeriodicalId":403293,"journal":{"name":"Handbook of Bayesian Variable Selection","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116544313","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Recent Theoretical Advances with the Discrete Spike-and-Slab Priors","authors":"Shuang Zhou, D. Pati","doi":"10.1201/9781003089018-2","DOIUrl":"https://doi.org/10.1201/9781003089018-2","url":null,"abstract":"","PeriodicalId":403293,"journal":{"name":"Handbook of Bayesian Variable Selection","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125967577","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bayesian Model Averaging in Causal Inference","authors":"Joseph Antonelli, F. Dominici","doi":"10.1201/9781003089018-9","DOIUrl":"https://doi.org/10.1201/9781003089018-9","url":null,"abstract":"","PeriodicalId":403293,"journal":{"name":"Handbook of Bayesian Variable Selection","volume":"94 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113985746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Spike-and-Slab Meets LASSO: A Review of the Spike-and-Slab LASSO","authors":"Ray Bai, V. Ročková, E. George","doi":"10.1201/9781003089018-4","DOIUrl":"https://doi.org/10.1201/9781003089018-4","url":null,"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 election 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 univariate linear regression, Rockova and George (2018) introduced the spike-and-slab LASSO (SSL), an approach based on a prior which forms 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 paper 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.","PeriodicalId":403293,"journal":{"name":"Handbook of Bayesian Variable Selection","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132450842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}