2 papers
math.NA2026
On Generalized Barron Spaces for Shallow Neural Networks
Shuai Lu, Leqi Zhang
Classical Barron spaces are function spaces specifically designed for shallow neural networks mostly with ReLU, (RePU) or Lipschitz continuous activation function…
math.NA2026
A mixed residual method for biharmonic equations in spectral Barron spaces
Mengjia Bai, Kuo Gai, Shuai Lu
We propose a mixed residual method (MIM) for numerically solving the biharmonic equation with nonhomogeneous clamped boundary conditions. By establishing the well-posedness of the…