34 citations · 42 across the 4 of their papers we have counts for
4 papers
Estimation in the convolution structure density model. Part II: adaptation over the scale of anisotropic classes
Oleg Lepski, Thomas Willer
This paper continues the research started in \cite{LW16}. In the framework of the convolution structure density model on $\bR^d$, we address the problem of adaptive minimax estimat…
Estimation in the convolution structure density model. Part I: oracle inequalities
Oleg Lepski, Thomas Willer
We study the problem of nonparametric estimation under $\bL_p$-loss, , in the framework of the convolution structure density model on $\bR^d$. This observation sch…
Needlet algorithms for estimation in inverse problems
Gérard Kerkyacharian, Pencho Petrushev, Dominique Picard +1
We provide a new algorithm for the treatment of inverse problems which combines the traditional SVD inversion with an appropriate thresholding technique in a well chosen new basis.…
Deconvolution in white noise with a random blurring function
Thomas Willer
We consider the problem of denoising a function observed after a convolution with a random filter independent of the noise and satisfying some mean smoothness condition depending o…