Ajay Minj

Eigenvalue Degeneracy and the Limits of Scalar Spectral Parametrisations on Compact Homogeneous Spaces

Spectral parametrizations in operator learning fall into two classes. One learns an arbitrary multiplier on the frequency lattice, as the Fourier neural operator does on the torus; the other learns a scalar function of the Laplace–Beltrami eigenvalue, as recent manifold constructions do. For spectral graph networks the...