most citedDeep Operator Network Approximation Rates for Lipschitz Operators

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.NA2024

Neural Networks for Singular Perturbations

Joost A. A. Opschoor, Christoph Schwab, Christos Xenophontos

We prove deep neural network (DNN for short) expressivity rate bounds for solution sets of a model class of singularly perturbed, elliptic two-point boundary value problems, in Sob…

math.NA2023★ 2 cited

Deep Operator Network Approximation Rates for Lipschitz Operators

Christoph Schwab, Andreas Stein, Jakob Zech

We establish universality and expression rate bounds for a class of neural Deep Operator Networks (DON) emulating Lipschitz (or Hölder) continuous maps $\mathcal G:\mathcal X\to\ma…