2 papers
math.NA2026
Robust high-dimensional integration using medians of coarsely scrambled Sobol' sequences
Ziyang Ye, Chaokun Zhu, Zexin Pan
We study the numerical approximation of high-dimensional integrals using randomized quasi-Monte Carlo (RQMC) methods, with a focus on scrambled Sobol' sequences. While asymptotical…
math.NA2026
Universal -approximation using median digital-net algorithms
Ziyang Ye, Xiaoqun Wang, Zexin Pan
We propose a median digital-net algorithm for -approximation of non-periodic functions over , inspired by the recently developed median lattice algorithms for the per…