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Robust high-dimensional integration using medians of coarsely scrambled Sobol' sequences

Ye, Ziyang et al.
arXiv (All) · Papers
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numerical-analysis
We study the numerical approximation of high-dimensional integrals using randomized quasi-Monte Carlo (RQMC) methods, with a focus on scrambled Sobol' sequences. While asymptotically faster than Monte Carlo, classical RQMC suffers from error bounds that grow exponentially in the dimension $s$, and i
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