Paul Geuchen

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20232026

most citedOptimal approximation using complex-valued neural networks

3 citations · 4 across the 5 of their papers we have counts for

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stat.ML2025

Optimal estimates for the $ℓ^{p}$ -Lipschitz constants of deep random ReLU neural networks

Sjoerd Dirksen, Patrick Finke, Paul Geuchen +2

This paper studies the $ℓ^{p}$ -Lipschitz constants of ReLU neural networks $Φ : R^{d} \to R$ with random parameters for $p \in [1, \infty]$ . The distribution 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…

Optimal estimates for the ℓp-Lipschitz constants of deep random ReLU neural networks

Upper and lower bounds for the Lipschitz constant of random neural networks

Optimal estimates for the $ℓ^{p}$ -Lipschitz constants of deep random ReLU neural networks