Regression shrinkage and selection via the lasso: a retrospective

被引：1787

作者：

Tibshirani, Robert ^{[1
]}

机构：

[1] Stanford Univ, Dept Hlth Res & Policy, Stanford, CA 94305 USA

来源：

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY | 2011年 / 73卷

关键词：

l(1)-penalty; Penalization; Regularization; GENERALIZED LINEAR-MODELS; VARIABLE SELECTION; DESCENT METHOD; REGULARIZATION; SPARSITY; ALGORITHMS; MIXTURE;

D O I：

10.1111/j.1467-9868.2011.00771.x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In the paper I give a brief review of the basic idea and some history and then discuss some developments since the original paper on regression shrinkage and selection via the lasso.

引用

页码：273 / 282

页数：10

共 66 条

[1] TRANSPOSABLE REGULARIZED COVARIANCE MODELS WITH AN APPLICATION TO MISSING DATA IMPUTATION [J].

Allen, Genevera I. ;

Tibshirani, Robert .

ANNALS OF APPLIED STATISTICS, 2010, 4 (02) :764-790

[2]

[Anonymous], 2006, Journal of the Royal Statistical Society, Series B

[3]

Barlow R.E., 1972, Statistical inference under order restrictions

[4] CONTROLLING THE FALSE DISCOVERY RATE - A PRACTICAL AND POWERFUL APPROACH TO MULTIPLE TESTING [J].

BENJAMINI, Y ;

HOCHBERG, Y .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1995, 57 (01) :289-300

[5]

Bernardo J. M., 2009, BAYESIAN THEORY, V405

[6] SIMULTANEOUS ANALYSIS OF LASSO AND DANTZIG SELECTOR [J].

Bickel, Peter J. ;

Ritov, Ya'acov ;

Tsybakov, Alexandre B. .

ANNALS OF STATISTICS, 2009, 37 (04) :1705-1732

[7]

BONDELL H, 2010, BIOMETRICS IN PRESS, V66

[8] BETTER SUBSET REGRESSION USING THE NONNEGATIVE GARROTE [J].

BREIMAN, L .

TECHNOMETRICS, 1995, 37 (04) :373-384

[9]

BUHLMANN P, 2011, STAT HIGH D IN PRESS

[10] Sparsity oracle inequalities for the Lasso [J].

Bunea, Florentina ;

Tsybakov, Alexandre ;

Wegkamp, Marten .

ELECTRONIC JOURNAL OF STATISTICS, 2007, 1 :169-194

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