4 citations · 10 across the 5 of their papers we have counts for
5 papers
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 numbers for the Fourier-analytic Barron space
Felix Voigtlaender
In this paper, we consider Barron functions of smoothness , which are functions that can be written as \[ f(x) = \int_{\mathbb{R}^d} F(ξ) \, e^{2…
Optimal learning of high-dimensional classification problems using deep neural networks
Philipp Petersen, Felix Voigtlaender
We study the problem of learning classification functions from noiseless training samples, under the assumption that the decision boundary is of a certain regularity. We establish…
Structured, compactly supported Banach frame decompositions of decomposition spaces
Felix Voigtlaender
$\newcommand{mc}[1]{\mathcal{#1}}$ $\newcommand{D}{\mc{D}(\mc{Q},L^p,\ell_w^q)}$ We present a framework for the construction of structured, possibly compactly supported Banach fram…
Resolution of the wavefront set using general continuous wavelet transforms
Jonathan Fell, Hartmut Führ, Felix Voigtlaender
We consider the problem of characterizing the wavefront set of a tempered distribution in terms of its continuous wavelet transform, where the la…