3 papers
stat.ML2025
Near-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…
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…
stat.ML2023
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…