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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold

To numerically approximate Borel probability measures by finite atomic measures, we study the spectral decomposition of discrepancy kernels when restricted to compact subsets of [Formula: see text] . For restrictions to the Euclidean ball in odd dimensions, to the rotation group [Formula: see text]...

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Detalles Bibliográficos
Autores principales: Dick, Josef, Ehler, Martin, Gräf, Manuel, Krattenthaler, Christian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10264311/
https://www.ncbi.nlm.nih.gov/pubmed/37323829
http://dx.doi.org/10.1007/s00365-023-09638-0