15 citations · 163 across the 28 of their papers we have counts for
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math.CO2026
Asymptotically optimal bracketing covers for anchored boxes with applications to star discrepancy
Kosuke Suzuki
Bracketing covers and -covers provide finite discretizations of the anchored boxes that define the star discrepancy. Let and denote the corresponding brac…
math.NA2026
Bounded independence for the inverse star discrepancy
Kosuke Suzuki
We give a random-bit-efficient construction for the inverse star discrepancy. For every fixed , -wise independent uniform points $\boldsymbol{X}_1,\ldots,\boldsymbol{…
math.NA2026
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…