14 citations · 20 across the 6 of their papers we have counts for
6 papers
Estimation adaptative dans le modèle single-index par l'approche d'oracle
Oleg Lepski, Nora Serdyukova
In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated possesses the single-inde…
Adaptive estimation under single-index constraint in a regression model
Oleg Lepski, Nora Serdyukova
The problem of adaptive multivariate function estimation in the single-index regression model with random design and weak assumptions on the noise is investigated. A novel estimati…
Adaptive estimation in regression and complexity of approximation of random fields
Nora Serdyukova
In this thesis we study adaptive nonparametric regression with noise misspecification and the complexity of approximation of random fields in dependence of the dimension. First, we…
Adaptive estimation in the single-index model via oracle approach
Oleg Lepski, Nora Serdyukova
In the framework of nonparametric multivariate function estimation we are interested in structural adaptation. We assume that the function to be estimated has the "single-index" st…
Spatial adaptation in heteroscedastic regression: Propagation approach
Nora Serdyukova
The paper concerns the problem of pointwise adaptive estimation in regression when the noise is heteroscedastic and incorrectly known. The use of the local approximation method, wh…
Dependence on the Dimension for Complexity of Approximation of Random Fields
N. Serdyukova
We consider an \eps-approximation by n-term partial sums of the Karhunen-Loève expansion to d-parametric random fields of tensor product-type in the average case setting. We invest…