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20132026
most citedOptimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness

15 citations · 163 across the 28 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NA2022★ 12 cited

A universal median quasi-Monte Carlo integration

Takashi Goda, Kosuke Suzuki, Makoto Matsumoto

We study quasi-Monte Carlo (QMC) integration over the multi-dimensional unit cube in several weighted function spaces with different smoothness classes. We consider approximating t…

math.NA2022★ 3 cited

Improved bounds on the gain coefficients for digital nets in prime power base

Takashi Goda, Kosuke Suzuki

We study randomized quasi-Monte Carlo integration by scrambled nets. The scrambled net quadrature has long gained its popularity because it is an unbiased estimator of the true int…