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math.NA2025★ 1 cited
On the optimization of discrepancy measures
François Clément, Nathan Kirk, Art B. Owen +1
Numerical optimizations can find point sets with lower discrepancies than prior methods based on algebra, and discrepancies are computationally attractive for this. The …
math.NA2024
An improved Halton sequence for implementation in quasi-Monte Carlo methods
Nathan Kirk, Christiane Lemieux
Despite possessing the low-discrepancy property, the classical d dimensional Halton sequence is known to exhibit poorly distributed projections when d becomes even moderately large…