3 citations · 4 across the 5 of their papers we have counts for
Showing math.FAShow all
3 papers · 1 filter
math.FA2024
On best approximation by multivariate ridge functions with applications to generalized translation networks
Paul Geuchen, Palina Salanevich, Olov Schavemaker +1
In this paper, we prove sharp upper and lower bounds for the approximation of Sobolev functions by sums of multivariate ridge functions, i.e., for approximation by functions of the…
math.FA2023★ 1 cited
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…
math.FA2023★ 3 cited
Optimal approximation using complex-valued neural networks
Paul Geuchen, Felix Voigtlaender
Complex-valued neural networks (CVNNs) have recently shown promising empirical success, for instance for increasing the stability of recurrent neural networks and for improving the…