The Sobol' sequence is not quasi-uniform in dimension 2

DOI10.1090/PROC/16816zbMATH Open1543.05019MaRDI QIDQ6566373

Takashi Goda

Publication date: 3 July 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quasi-uniformityquasi-Monte Carloseparation radiusSobol' sequencefill distance

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) Combinatorial aspects of packing and covering (05B40) Numerical radial basis function approximation (65D12)

Cites Work

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• Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
• Low-discrepancy and low-dispersion sequences
• Quasi-random points keep their distance
• Kernel techniques: From machine learning to meshless methods
• Discrépance de suites associées à un système de numération (en dimension s)
• Convergence of Gaussian Process Regression with Estimated Hyper-Parameters and Applications in Bayesian Inverse Problems
• Quasi-uniform designs with optimal and near-optimal uniformity constant

Related Items (1)

One-dimensional quasi-uniform Kronecker sequences

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