Stephan Wojtowytsch

collaborators

2 papers

math.AP2026

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method

Stephan Wojtowytsch

We prove that harmonic functions with Dirichlet boundary data in Barron space, a function class tailored to wide ReLU networks with a single hidden layer and suitably bounded weigh…

math.AP2024

Solving the Poisson Equation with Dirichlet data by shallow ReLU $^{I^} \pm$ -networks: A regularity and approximation perspective

Malhar Vaishampayan, Stephan Wojtowytsch

For several classes of neural PDE solvers (Deep Ritz, PINNs, DeepONets), the ability to approximate the solution or solution operator to a partial differential equation (PDE) hinge…

Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method

Solving the Poisson Equation with Dirichlet data by shallow ReLUI^±-networks: A regularity and approximation perspective

Solving the Poisson Equation with Dirichlet data by shallow ReLU $^{I^} \pm$ -networks: A regularity and approximation perspective