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Model Selection and Estimation in Regression with Grouped Variables

Datos Bibliográficos

ID23383100
AutoresMing Yuan (0000-0002-8516-392X, Georgia Institute of Technology, autor de correspondencia), Yi Lin (0000-0002-0697-4581, University of Wisconsin–Madison)
Año2006
Volumen68
Número1
Páginas49-67
Fecha de publicación2006-02-01
Peer ReviewedSí
Open AccessSí
TipoARTICLE
RevistaJournal of the Royal Statistical Society Series B: Statistical Methodology (JOURNAL)
Identificadores de la revistaISSN: 1369-7412 • E-ISSN: 1467-9868
EditorialOxford University Press (OUP) (PUBLISHER)
DOI10.1111/j.1467-9868.2005.00532.x
OpenAlexW2138019504
IdiomaEN
Citas recibidas62
Referencias citadas9

We consider the problem of selecting grouped variables (factors) for accurate prediction in regression. Such a problem arises naturally in many practical situations with the multifactor analysis-of-variance problem as the most important and well-known example. Instead of selecting factors by stepwise backward elimination, we focus on the accuracy of estimation and consider extensions of the lasso, the LARS algorithm and the non-negative garrotte for factor selection. The lasso, the LARS algorithm and the non-negative garrotte are recently proposed regression methods that can be used to select individual variables. We study and propose efficient algorithms for the extensions of these methods for factor selection and show that these extensions give superior performance to the traditional stepwise backward elimination method in factor selection problems. We study the similarities and the differences between these methods. Simulations and real examples are used to illustrate the methods.

Estimation · Feature selection · Focus (optics) · Lasso (programming language) · Machine learning · Regression · Regression analysis · Selection (genetic algorithm) · Statistics · Stepwise regression · Variance (accounting) · Advanced Statistical Methods and Models · Artificial Intelligence · Computer Science · Control Systems and Identification · Engineering · Mathematics · Statistical Methods and Inference

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Obras citantes distintas62
Citas por año4,13
Intervalo de citas2011 - 2026 (16)
Velocidad de citacióncurrent
Altamente citadoNo
Tipos de citaNeutras: 59
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