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

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...

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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:
Diffusion-maps
dimensionality reduction
gradient operator
gradient descent
gradient flow
machine learning
Online Access:https://ieeexplore.ieee.org/document/10227282/

Internet

https://ieeexplore.ieee.org/document/10227282/

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