2 papers
math.NA2026
Sharp Sobolev Approximation on General Domains by Linearized Shallow Networks with Analytic Activations
Jia Li, Tong Mao, Jinchao Xu
We study Sobolev approximation on bounded domains by linearized shallow neural networks whose inner parameters are prescribed independently of the target function. Our main step is…
math.NA2026
Sharp Approximation on the Sphere by Linearized Shallow Networks with Analytic Activations
Jia Li, Tong Mao, Jinchao Xu
We study the spectral behavior and approximation properties of linearized shallow networks with analytic activation functions on the unit sphere . Motivated by earlier…