Web: http://arxiv.org/abs/2108.06988

May 4, 2022, 1:12 a.m. | Alvaro Almeida Gomez, Antônio J. Silva Neto, Jorge P. Zubelli

cs.LG updates on arXiv.org arxiv.org

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 points in the submanifold. This approach is based on
the estimates of the Laplace-Beltrami operator proposed in the diffusion-maps
theory. The Riemannian gradient estimates do not involve differential terms.
Analytical convergence results of the Riemannian gradient expansion are proved.
We apply the Riemannian gradient estimate in a gradient-based algorithm
providing a …

algorithm applications arxiv computation gradient map on

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