Optimal approximation using complex-valued neural networks. - Paul Geuchen; Felix Voigtländer (NeurIPS, 2023)

Optimal approximation of Ck-functions using shallow complex-valued neural networks. - Paul Geuchen; Felix Voigtländer (CoRR, 2023)

Universal approximation with complex-valued deep narrow neural networks. - Paul Geuchen; Thomas Jahn; Hannes Matt (CoRR, 2023)

Upper and lower bounds for the Lipschitz constant of random neural networks. - Paul Geuchen; Thomas Heindl; Dominik Stöger; Felix Voigtländer (CoRR, 2023)

On best approximation by multivariate ridge functions with applications to generalized translation networks. - Paul Geuchen; Palina Salanevich; Olov Schavemaker; Felix Voigtländer (CoRR, 2024)

Near-optimal estimates for the ℓp-Lipschitz constants of deep random ReLU neural networks. - Sjoerd Dirksen; Patrick Finke; Paul Geuchen; Dominik Stöger; Felix Voigtländer (CoRR, 2025)