Laboratoire de Probabilités et Modèles Aléatoires

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20022015

most citedFast learning rates for plug-in classifiers

332 citations

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Showing 2009 · math.STShow all

3 papers · 2 filters

math.ST2009★ 1 cited

Transductive versions of the LASSO and the Dantzig Selector

Pierre Alquier, Mohamed Hebiri

We consider the linear regression problem, where the number $p$ of covariates is possibly larger than the number $n$ of observations $(x_{i}, y_{i})_{i \leq i \leq n}$ , under sparsit…

math.ST2009

Sparse classification boundaries

Yuri I. Ingster, Christophe Pouet, Alexandre B. Tsybakov

Given a training sample of size $m$ from a $d$ -dimensional population, we wish to allocate a new observation $Z \in R^{d}$ to this population or to the noise. We suppose that the dif…

math.ST2009★ 47 cited

Adaptive estimation of linear functionals in the convolution model and applications

C. Butucea, F. Comte

We consider the model $Z_{i} = X_{i} + ε_{i}$ , for i.i.d. $X_{i}$ 's and $ε_{i}$ 's and independent sequences $(X_{i})_{i \in N}$ and $(\varepsilon_i)_{i\in{\mathbb{N}}}…