Improved bounds on the gain coefficients for digital nets in prime power base

DOI10.1016/j.jco.2022.101722OpenAlexW4311139677MaRDI QIDQ2693684

Kosuke Suzuki, Takashi Goda

Publication date: 24 March 2023

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.04666

zbMATH Keywords

Walsh functionsduality theoryquasi-Monte Carlodigital netscrambling

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical integration (65D30) Character groups and dual objects (43A40)

Related Items (1)

A Universal Median Quasi-Monte Carlo Integration

Cites Work

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• Scrambling Sobol' and Niederreiter-Xing points
• The microstructure of \((t,m,s)\)-nets
• Scrambled net variance for integrals of smooth functions
• The discrepancy and gain coefficients of scrambled digital nets.
• Randomized quasi-Monte Carlo: an introduction for practitioners
• On the variance of quadrature over scrambled nets and sequences
• The nonzero gain coefficients of Sobol's sequences are always powers of two
• Duality for digital nets and its applications
• Discrépance de suites associées à un système de numération (en dimension s)
• Monte Carlo Variance of Scrambled Net Quadrature
• A Strong Law of Large Numbers for Scrambled Net Integration
• High-dimensional integration: The quasi-Monte Carlo way

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