4 papers · 1 filter
Separation properties of scrambled digital nets and related random point sets
Kosuke Suzuki
We study how standard randomization procedures affect the local geometry of quasi-Monte Carlo point sets, as measured by their minimum distance and mesh ratio. Although probabilist…
Coarse scrambling for Sobol' and Niederreiter sequences
Kosuke Suzuki
We introduce coarse scrambling, a novel randomization for digital sequences that permutes blocks of digits in a mixed-radix representation. This construction is designed to preserv…
Exact -separation radius of Sobol' sequences in dimension 2
Kosuke Suzuki
Quasi-uniformity is a fundamental geometric property of point sets, crucial for applications such as kernel interpolation, Gaussian process regression, and space-filling experiment…
The median trick does not help for fully nested scrambling
Takashi Goda, Kosuke Suzuki
In randomized quasi-Monte Carlo methods for numerical integration, average estimators based on digital nets with fully nested and linear scrambling are known to exhibit the same va…