77 citations · 89 across the 3 of their papers we have counts for
3 papers
math.ST2010★ 12 cited
On universal oracle inequalities related to high-dimensional linear models
Yuri Golubev
This paper deals with recovering an unknown vector from the noisy data , where is a known -matrix and is a white Gaussian noise. It is assumed tha…
math.ST2009
Exponential bounds for minimum contrast estimators
Yuri Golubev, Vladimir Spokoiny
The paper focuses on general properties of parametric minimum contrast estimators. The quality of estimation is measured in terms of the rate function related to the contrast, thus…
math.ST2006★ 77 cited
Risk hull method and regularization by projections of ill-posed inverse problems
L. Cavalier, Yu. Golubev
We study a standard method of regularization by projections of the linear inverse problem , where is a white Gaussian noise, and is a known compact operator with si…