52 citations · 190 across the 24 of their papers we have counts for
5 papers · 2 filters
Anisotropic Denoising in Functional Deconvolution Model with Dimension-free Convergence Rates
Rida Benhaddou, Marianna Pensky, Dominique Picard
In the present paper we consider the problem of estimating a periodic -dimensional function based on observations from its noisy convolution. We construct a wavelet esti…
Non-asymptotic approach to varying coefficient model
Olga Klopp, Marianna Pensky
In the present paper we consider the varying coefficient model which represents a useful tool for exploring dynamic patterns in many applications. Existing methods typically provid…
Laplace deconvolution and its application to Dynamic Contrast Enhanced imaging
Fabienne Comte, Charles-André Cuénod, Marianna Pensky +1
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of…
Spatially inhomogeneous linear inverse problems with possible singularities
Marianna Pensky
The objective of the present paper is to introduce the concept of a spatially inhomogeneous linear inverse problem where the degree of ill-posedness of operator depends not onl…
Adaptive Nonparametric Empirical Bayes Estimation Via Wavelet Series: the Minimax Study
Rida Benhaddou, Marianna Pensky
In the present paper, we derive lower bounds for the risk of the nonparametric empirical Bayes estimators. In order to attain the optimal convergence rate, we propose generalizatio…