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20042011
most citedGeneralization error bounds in semi-supervised classification under the cluster assumption

109 citations

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21 papers · 1 filter

math.ST2011

Adaptation to anisotropy and inhomogeneity via dyadic piecewise polynomial selection

Nathalie Akakpo

This article is devoted to nonlinear approximation and estimation via piecewise polynomials built on partitions into dyadic rectangles. The approximation rate is studied over possi…

math.ST2010

Nonparametric regression with martingale increment errors

Sylvain Delattre, Stéphane Gaïffas

We consider the problem of adaptive estimation of the regression function in a framework where we replace ergodicity assumptions (such as independence or mixing) by another structu…

math.ST2010

On classical and free stable laws

Nizar Demni

We derive the representative Bernstein measure of the density of , where is a positive stable random variable, as a Fox-H function. When $1-α= 1/j…

math.ST2010

On the false discovery proportion convergence under Gaussian equi-correlation

Sylvain Delattre, Etienne Roquain

We study the convergence of the false discovery proportion (FDP) of the Benjamini-Hochberg procedure in the Gaussian equi-correlated model, when the correlation converges to…

math.ST20091 cited

Transductive versions of the LASSO and the Dantzig Selector

Pierre Alquier, Mohamed Hebiri

We consider the linear regression problem, where the number of covariates is possibly larger than the number of observations , under sparsit…

math.ST20092 cited

Adaptive Dantzig density estimation

Karine Bertin, Erwan Le Pennec, Vincent Rivoirard

This paper deals with the problem of density estimation. We aim at building an estimate of an unknown density as a linear combination of functions of a dictionary. Inspired by Cand…