3 papers
cs.LG2026
Geometric separation and constructive universal approximation with two hidden layers
Chanyoung Sung
We give a geometric construction of neural networks that separate disjoint compact subsets of , and use it to obtain a constructive universal approximation theorem. Speci…
math.DG2025
On the eigenvalues of the Laplacian on fibred manifolds
Chanyoung Sung
We prove various comparison theorems of the -th eigenvalue of the Laplacian on fibred Riemannian manifolds by using fiberwise spherical and Euclidean (or hyperbolic) symm…
math.DG2025
On the Yamabe constants of product manifolds
Chanyoung Sung
By using the fiberwise spherical symmetrization we give a comparison theorem of Yamabe constants on warped products and prove the existence of radially-symmetric Yamabe minimizers…