Reconstruction and interpolation of manifolds. I: The geometric Whitney problem

DOI10.1007/s10208-019-09439-7zbMath1470.53045arXiv1508.00674OpenAlexW2985958162WikidataQ126800709 ScholiaQ126800709MaRDI QIDQ2216248

Matti Lassas, Hariharan Narayanan, Charles L. Fefferman, Sergei Ivanov, Yaroslav Kurylev

Publication date: 15 December 2020

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.00674

zbMATH Keywords

inverse problemsRiemannian manifoldsmachine learningWhitney's extension problem

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Inverse problems for PDEs (35R30) Interpolation in approximation theory (41A05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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