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math.ST2008
Nonparametric Denoising of Signals with Unknown Local Structure, I: Oracle Inequalities
Anatoli Juditsky, Arkadii S. Nemirovski
We consider the problem of pointwise estimation of multi-dimensional signals , from noisy observations on the regular grid $\bZd$. Our focus is on the adaptive estimatio…
math.ST2007★ 38 cited
A new algorithm for estimating the effective dimension-reduction subspace
Arnak Dalalyan, Anatoly Juditsky, Vladimir Spokoiny
The statistical problem of estimating the effective dimension-reduction (EDR) subspace in the multi-index regression model with deterministic design and additive noise is considere…