Points on manifolds with asymptotically optimal covering radius

Anna Breger, Martin Ehler, Manuel Gräf

Type: Article

Publication Date: 2018-03-31

Citations: 25

DOI: https://doi.org/10.1016/j.jco.2018.03.002

View Publication

Locations

Journal of Complexity - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Optimal Monte Carlo integration on closed manifolds	2017	Martin Ehler Manuel Graef Chris J. Oates
+	Optimal Monte Carlo integration on closed manifolds	2017	Martin Ehler Manuel Graef Chris J. Oates
+	Numerically optimizing weights for Monte Carlo integration on smooth compact manifolds	2017	Martin Ehler Manuel Graef
+	Optimal Monte Carlo integration on smooth compact manifolds	2017	Martin Ehler Manuel Graef
+	QMC designs: Optimal order Quasi Monte Carlo integration schemes on the sphere	2014	J. Brauchart E. B. Saff Ian H. Sloan Robert S. Womersley
+	Numerically Optimizing Weights for Monte Carlo Integration on Smooth Compact Manifolds	2017	Martin Ehler Manuel Gräf
+	Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces	2015	Johann S. Brauchart Josef Dick E. B. Saff Ian H. Sloan Yu Guang Wang Robert S. Womersley
+ PDF Chat	Optimal Monte Carlo integration on closed manifolds	2019	Martin Ehler Manuel Gräf Chris J. Oates
+ PDF Chat	Quasi-Monte Carlo integration on manifolds with mapped low-discrepancy points and greedy minimal Riesz s-energy points	2018	Stefano De Marchı Giacomo Elefante
+	QMC Designs and Determinantal Point Processes	2018	Masatake Hirao
+	Optimal spherical designs and numerical integration on the sphere	1983	W. Neutsch
+	A component-by-component approach to efficient numerical integration over products of spheres	2006	Kerstin Hesse Frances Y. Kuo Ian H. Sloan
+ PDF Chat	Geodesic cycles on the Sphere: $t$-designs and Marcinkiewicz-Zygmund Inequalities	2025	Martin Ehler Karlheinz Gröchenig Clemens Karner
+	Function recovery on manifolds using scattered data	2024	David Krieg Mathias Sonnleitner
+	Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold	2014	Florian Pausinger
+	Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold	2014	Florian Pausinger
+	Deterministic Von Mises–Fisher Sampling on the Sphere Using Fibonacci Lattices	2023	Daniel Frisch Uwe D. Hanebeck
+	Function recovery on manifolds using scattered data	2021	David Krieg Mathias Sonnleitner
+	Construction-free median quasi-Monte Carlo rules for function spaces with unspecified smoothness and general weights	2022	Takashi Goda Pierre L’Ecuyer
+ PDF Chat	Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights	2022	Takashi Goda Pierre L’Ecuyer

Works That Cite This (24)

Action	Title	Year	Authors
+ PDF Chat	The spherical ensemble and quasi-Monte-Carlo designs	2023	Robert J. Berman
+ PDF Chat	Optimal Monte Carlo integration on closed manifolds	2019	Martin Ehler Manuel Gräf Chris J. Oates
+ PDF Chat	Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics	2020	Douglas P. Hardin Mircea Petrache Edward B. Saff
+ PDF Chat	Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold	2023	Josef Dick Martin Ehler Manuel Gräf Christian Krattenthaler
+	Approximate Quadrature Measures on Data-Defined Spaces	2018	H. N. Mhaskar
+ PDF Chat	Stacking Designs: Designing Multifidelity Computer Experiments with Target Predictive Accuracy	2024	Chih‐Li Sung Yi Ji Simon Mak Wenjia Wang Tao Tang
+	Sampling in Grassmannians	2017	Anna Breger Martin Ehler
+	Bayesian Quadrature, Energy Minimization, and Space-Filling Design	2020	Luc Pronzato Anatoly Zhigljavsky
+ PDF Chat	The Sinkhorn algorithm, parabolic optimal transport and geometric Monge–Ampère equations	2020	Robert J. Berman
+	Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics	2019	Douglas P. Hardin Mircea Petrache Edward B. Saff

Works Cited by This (40)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	None	2002	Christine Bachoc Renaud Coulangeon Gabriele Nebe
+	Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces	2015	Johann S. Brauchart Josef Dick E. B. Saff Ian H. Sloan Yu Guang Wang Robert S. Womersley
+	Theory of Function Spaces III	2006	Hans Triebel
+ PDF Chat	Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators	2005	Pierre de la Harpe Claude Pache
+	Quadrature rules and distribution of points on manifolds	2014	Luca Brandolini Christine Choirat Leonardo Colzani Giacomo Gigante Raffaello Seri Giancarlo Travaglini
+	Optimization Algorithms on Matrix Manifolds	2007	P.-A. Absil Robert Mahony Rodolphe Sepulchre
+ PDF Chat	Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces	2015	Peter Hellekalek Peter Kritzer Friedrich Pillichshammer
+ PDF Chat	Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square	2014	Đinh Dũng Tino Ullrich
+ PDF Chat	Distributing many points on spheres: Minimal energy and designs	2015	Johann S. Brauchart Peter J. Grabner