{"title":"Least angle and ℓ1 penalized regression: A review","authors":"T. Hesterberg, Nam-Hee Choi, L. Meier, C. Fraley","doi":"10.1214/08-SS035","DOIUrl":null,"url":null,"abstract":"Least Angle Regression is a promising technique for variable selection applications, offering a nice alternative to stepwise regression. It provides an explanation for the similar behavior of LASSO (l1-penalized regression) and forward stagewise regression, and provides a fast imple- mentation of both. The idea has caught on rapidly, and sparked a great deal of research interest. In this paper, we give an overview of Least Angle Regression and the current state of related research.","PeriodicalId":46627,"journal":{"name":"Statistics Surveys","volume":"31 1","pages":"61-93"},"PeriodicalIF":11.0000,"publicationDate":"2008-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"289","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics Surveys","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1214/08-SS035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 289
Abstract
Least Angle Regression is a promising technique for variable selection applications, offering a nice alternative to stepwise regression. It provides an explanation for the similar behavior of LASSO (l1-penalized regression) and forward stagewise regression, and provides a fast imple- mentation of both. The idea has caught on rapidly, and sparked a great deal of research interest. In this paper, we give an overview of Least Angle Regression and the current state of related research.
期刊介绍:
Statistics Surveys publishes survey articles in theoretical, computational, and applied statistics. The style of articles may range from reviews of recent research to graduate textbook exposition. Articles may be broad or narrow in scope. The essential requirements are a well specified topic and target audience, together with clear exposition. Statistics Surveys is sponsored by the American Statistical Association, the Bernoulli Society, the Institute of Mathematical Statistics, and by the Statistical Society of Canada.