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Article: The linearized alternating direction method of multipliers for Dantzig selector

TitleThe linearized alternating direction method of multipliers for Dantzig selector
Authors
KeywordsLinearized
Alternating direction method of multipliers
Dantzig selector
Linear regression
Issue Date2012
PublisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sisc.php
Citation
SIAM Journal on Scientific Computing, 2012, v. 34, n. 5, p. A2792-A2811 How to Cite?
AbstractThe Dantzig selector was recently proposed to perform variable selection and model fitting in the linear regression model. It can be solved numerically by the alternating direction method of multipliers (ADM); and in this paper, we show that the application of ADM to the Dantzig selector can be speeded up significantly if one of its resulting subproblems at each iteration is linearized. The resulting linearized ADM for the Dantzig selector is shown to be efficient for solving both synthetic and real world data sets. © 2012 Society for Industrial and Applied Mathematics.
Persistent Identifierhttp://hdl.handle.net/10722/251014
ISSN
2021 Impact Factor: 2.968
2020 SCImago Journal Rankings: 1.674
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorWang, Xiangfeng-
dc.contributor.authorYuan, Xiaoming-
dc.date.accessioned2018-02-01T01:54:20Z-
dc.date.available2018-02-01T01:54:20Z-
dc.date.issued2012-
dc.identifier.citationSIAM Journal on Scientific Computing, 2012, v. 34, n. 5, p. A2792-A2811-
dc.identifier.issn1064-8275-
dc.identifier.urihttp://hdl.handle.net/10722/251014-
dc.description.abstractThe Dantzig selector was recently proposed to perform variable selection and model fitting in the linear regression model. It can be solved numerically by the alternating direction method of multipliers (ADM); and in this paper, we show that the application of ADM to the Dantzig selector can be speeded up significantly if one of its resulting subproblems at each iteration is linearized. The resulting linearized ADM for the Dantzig selector is shown to be efficient for solving both synthetic and real world data sets. © 2012 Society for Industrial and Applied Mathematics.-
dc.languageeng-
dc.publisherSociety for Industrial and Applied Mathematics. The Journal's web site is located at http://www.siam.org/journals/sisc.php-
dc.relation.ispartofSIAM Journal on Scientific Computing-
dc.subjectLinearized-
dc.subjectAlternating direction method of multipliers-
dc.subjectDantzig selector-
dc.subjectLinear regression-
dc.titleThe linearized alternating direction method of multipliers for Dantzig selector-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1137/110833543-
dc.identifier.scopuseid_2-s2.0-84869774438-
dc.identifier.volume34-
dc.identifier.issue5-
dc.identifier.spageA2792-
dc.identifier.epageA2811-
dc.identifier.eissn1095-7197-
dc.identifier.isiWOS:000310580800017-
dc.identifier.issnl1064-8275-

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