3 citations · 4 across the 5 of their papers we have counts for
6 papers
Generalized Symmetries of QED on Non-Spin Manifolds
Michele Del Zotto, Vivek Saxena
Generalized symmetries are sensitive to the tangential structure of spacetime. We study this interplay for massless QED on oriented non-spin four-manifolds, where the photon become…
Optimal estimates for the -Lipschitz constants of deep random ReLU neural networks
Sjoerd Dirksen, Patrick Finke, Paul Geuchen +2
This paper studies the -Lipschitz constants of ReLU neural networks with random parameters for . The distribution of the…
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…
Upper and lower bounds for the Lipschitz constant of random neural networks
Paul Geuchen, Dominik Stöger, Thomas Telaar +1
Empirical studies have widely demonstrated that neural networks are highly sensitive to small, adversarial perturbations of the input. The worst-case robustness against these so-ca…
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…
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…