A Diffusion-Map-Based Algorithm for Gradient Computation on Manifolds and Applications

We present a technique to estimate 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 points in the submanifold. It applies to cases where the only available information consists of sa...

Full description

Bibliographic Details
Main Authors: Alvaro Almeida Gomez, Antonio J. Silva Neto, Jorge P. Zubelli
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10227282/