15 citations · 110 across the 16 of their papers we have counts for
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math.NA2014
A Lower Bound on WAFOM
Takehito Yoshiki
We give a lower bound on Walsh figure of merit (WAFOM), which is a parameter to estimate the integration error for quasi-Monte Carlo (QMC) integration by a point set called a digit…
math.NA2014★ 7 cited
The Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets
Takashi Goda, Ryuichi Ohori, Kosuke Suzuki +1
In this paper, we study randomized quasi-Monte Carlo (QMC) integration using digitally shifted digital nets. We express the mean square QMC error of the -th discrete approximati…
math.NA2014★ 12 cited
Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration
Takashi Goda, Kosuke Suzuki, Takehito Yoshiki
In this paper we study quasi-Monte Carlo integration of smooth functions using digital nets. We fold digital nets over by means of the -adic tent transformation…