2 papers
cs.LG2024
Diffusion Representation for Asymmetric Kernels
Alvaro Almeida Gomez, Antonio Silva Neto, Jorge zubelli
We extend the diffusion-map formalism to data sets that are induced by asymmetric kernels. Analytical convergence results of the resulting expansion are proved, and an algorithm is…
cs.LG2021
A diffusion-map-based algorithm for gradient computation on manifolds and applications
Alvaro Almeida Gomez, Antônio J. Silva Neto, Jorge P. Zubelli
We recover the Riemannian gradient of a given function defined on interior points of a Riemannian submanifold in the Euclidean space based on a sample of function evaluations at po…