Multivariate intrinsic local polynomial regression on isometric Riemannian manifolds. Applications to symmetric positive data

IntroductionWe extend intrinsic local polynomial regression (ILPR) to multivariate covariates on arbitrary Riemannian manifolds, providing a general framework to study the action of isometric maps on manifold-valued regression estimators.MethodsWe derive a closed-form expression for the ILPR estimat...

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Bibliographic Details

Main Authors:	Ronald García Reyes, Ying Wang, Min Li, Giani Egaña Fernández, Ludovico Minati, Pedro Antonio Valdes Sosa
Format:	Artigo
Language:	Inglês
Published:	Frontiers Media S.A. 2026-01-01
Series:	Frontiers in Applied Mathematics and Statistics
Subjects:	Euclidean pullback metric isometric Riemannian manifold Log-Cholesky metric multivariate intrinsic local polynomial regression positive definite manifold
Online Access:	https://www.frontiersin.org/articles/10.3389/fams.2025.1690557/full
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