The degrees of freedom of the Lasso in underdetermined linear regression models
Langue
en
Communication dans un congrès
Ce document a été publié dans
Proc. SPARS 2011, Proc. SPARS 2011, SPARS 2011, 2011-07-27, Edinburgh. 2011-07-27p. 56
Résumé en anglais
In this paper, we investigate the degrees of freedom (df) of penalized l1 minimization (also known as the Lasso) for an un-derdetermined linear regression model. We show that under a suitable condition on the design matrix, ...Lire la suite >
In this paper, we investigate the degrees of freedom (df) of penalized l1 minimization (also known as the Lasso) for an un-derdetermined linear regression model. We show that under a suitable condition on the design matrix, the number of nonzero coefficients of the Lasso solution is an unbiased estimate for the degrees of freedom. An effective estimator of the number of degrees of freedom may have several applications including an objectively guided choice of the regularization parameter in the Lasso through the SURE or GCV frameworks.< Réduire
Mots clés en anglais
SURE
Lasso
degrees of freedom
SURE.
Project ANR
Adaptivité pour la représentation des images naturelles et des textures - ANR-08-EMER-0009
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