76 citations · 343 across the 42 of their papers we have counts for
5 papers · 1 filter
Sampling numbers of smoothness classes via -minimization
Thomas Jahn, Tino Ullrich, Felix Voigtlaender
Using techniques developed recently in the field of compressed sensing we prove new upper bounds for general (nonlinear) sampling numbers of (quasi-)Banach smoothness spaces in $L^…
-Sampling recovery for non-compact subclasses of
Glenn Byrenheid, Serhii A. Stasyuk, Tino Ullrich
In this paper we study the sampling recovery problem for certain relevant multivariate function classes which are not compactly embedded into . Recent tools relating the…
Haar frame characterizations of Besov-Sobolev spaces and optimal embeddings into their dyadic counterparts
Gustavo Garrigós, Andreas Seeger, Tino Ullrich
We study the behavior of Haar coefficients in Besov and Triebel-Lizorkin spaces on , for a parameter range in which the Haar system is not an unconditional basis. First…
On the reconstruction of functions from values at subsampled quadrature points
Felix Bartel, Lutz Kämmerer, Daniel Potts +1
This paper is concerned with function reconstruction from samples. The sampling points used in several approaches are (1) structured points connected with fast algorithms or (2) un…
Constructive subsampling of finite frames with applications in optimal function recovery
Felix Bartel, Martin Schäfer, Tino Ullrich
In this paper we present new constructive methods, random and deterministic, for the efficient subsampling of finite frames in . Based on a suitable random subsampling…