PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Spades and mixture models
F. Bunea, A.B. Tsybakov and M.H. Wegkamp
Annals of Statistics 2009.


This paper studies sparse density estimation via L1 penalization (SPADES). We focus on estimation in high-dimensional mixture models and nonparametric adaptive density estimation. We show, respectively, that SPADES can recover, with high probability, the unknown components of a mixture of probability densities and that it yields minimax adaptive density estimates. These results are based on a general sparsity oracle inequality that the SPADES estimates satisfy.

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EPrint Type:Article
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Learning/Statistics & Optimisation
ID Code:4279
Deposited By:Alexandre Tsybakov
Deposited On:13 March 2009