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Pré-Publication, Document De Travail Année : 2007

LASSO and Iterative Feature Selection: Oracle Inequalities and Numerical Performances

Résumé

We propose a general family of algorithms for regression estimation with quadratic loss. Our algorithms is able to select relevant functions into a large dictionary. We prove that some algorithms that have already been studied (Tibshirani's LASSO, Iterative Feature Selection, among others) belong to our family. We prove oracle-type inequalities in some particular cases, and compare numerical performances of LASSO and Iterative Feature Selection on a toy example.
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Dates et versions

hal-00181784 , version 1 (24-10-2007)
hal-00181784 , version 2 (05-12-2007)
hal-00181784 , version 3 (01-02-2008)
hal-00181784 , version 4 (25-11-2008)

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Pierre Alquier. LASSO and Iterative Feature Selection: Oracle Inequalities and Numerical Performances. 2007. ⟨hal-00181784v1⟩
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