13 citations · 54 across the 17 of their papers we have counts for
21 papers
Minkowski chirality: a measure of reflectional asymmetry of convex bodies
Andrei Caragea, Katherina von Dichter, Kurt Klement Gottwald +3
Using an optimal containment approach, we quantify the asymmetry of convex bodies in with respect to reflections across affine subspaces of a given dimension. We pro…
Besov regularity of random wavelet series
Andreas Horst, Thomas Jahn, Felix Voigtlaender
We study the Besov regularity of wavelet series on with randomly chosen coefficients. More precisely, each coefficient is a product of a random factor and a paramete…
Universal approximation with complex-valued deep narrow neural networks
Paul Geuchen, Thomas Jahn, Hannes Matt
We study the universality of complex-valued neural networks with bounded widths and arbitrary depths. Under mild assumptions, we give a full description of those activation functio…
Marcinkiewicz--Zygmund inequalities for scattered and random data on the -sphere
Frank Filbir, Ralf Hielscher, Thomas Jahn +1
The recovery of multivariate functions and estimating their integrals from finitely many samples is one of the central tasks in modern approximation theory. Marcinkiewicz--Zygmund…
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^…
Coproximinality of linear subspaces in generalized Minkowski spaces
Thomas Jahn, Christian Richter
We show that, for vector spaces in which distance measurement is performed using a gauge, the existence of best coapproximations in -codimensional closed linear subspaces implie…