Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs

In this paper we improve the spectral convergence rates for graph-based approximations of weighted Laplace-Beltrami operators constructed from random data. We utilize regularity of the continuum eigenfunctions and strong pointwise consistency results to prove that spectral convergence rates are the...

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Vydané v:	Applied and computational harmonic analysis Ročník 60; s. 123 - 175
Hlavní autori:	Calder, Jeff, García Trillos, Nicolás
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Elsevier Inc 01.09.2022
Predmet:	Discrete to continuum Graph Laplacian Laplace-Beltrami operator Rates of convergence Spectral convergence Discrete to continuum Graph Laplacian Spectral convergence Rates of convergence Laplace-Beltrami operator
ISSN:	1063-5203, 1096-603X
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