56 citations · 120 across the 4 of their papers we have counts for
6 papers
Universal pointwise selection rule in multivariate function estimation
Alexander Goldenshluger, Oleg Lepski
In this paper, we study the problem of pointwise estimation of a multivariate function. We develop a general pointwise estimation procedure that is based on selection of estimators…
Structural adaptation via -norm oracle inequalities
A. Goldenhsluger, O. Lepski
In this paper we study the problem of adaptive estimation of a multivariate function satisfying some structural assumption. We propose a novel estimation procedure that adapts simu…
A universal procedure for aggregating estimators
Alexander Goldenshluger
In this paper we study the aggregation problem that can be formulated as follows. Assume that we have a family of estimators built on the basis of available observati…
Recovering convex boundaries from blurred and noisy observations
Alexander Goldenshluger, Assaf Zeevi
We consider the problem of estimating convex boundaries from blurred and noisy observations. In our model, the convolution of an intensity function is observed with additive Ga…
The Hough transform estimator
Alexander Goldenshluger, Assaf Zeevi
This article pursues a statistical study of the Hough transform, the celebrated computer vision algorithm used to detect the presence of lines in a noisy image. We first study asym…
Optimal change-point estimation from indirect observations
A. Goldenshluger, A. Tsybakov, A. Zeevi
We study nonparametric change-point estimation from indirect noisy observations. Focusing on the white noise convolution model, we consider two classes of functions that are smooth…