Yu. Golubev

activity

20062010

most citedRisk hull method and regularization by projections of ill-posed inverse problems

77 citations · 89 across the 3 of their papers we have counts for

collaborators

Showing math.STShow all

3 papers · 1 filter

math.ST2010★ 12 cited

On universal oracle inequalities related to high-dimensional linear models

Yuri Golubev

This paper deals with recovering an unknown vector $θ$ from the noisy data $Y = A θ + σ ξ$ , where $A$ is a known $(m \times n)$ -matrix and $ξ$ 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 $Y = A f + ε$ , where $ε$ is a white Gaussian noise, and $A$ is a known compact operator with si…