Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions. Zbl 1359.65008
Suzuki, Kosuke |
|
2017
|
Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration. Zbl 1333.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
An explicit construction of optimal order quasi-Monte Carlo rules for smooth integrands. Zbl 1357.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
Lattice rules in non-periodic subspaces of Sobolev spaces. Zbl 1415.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2019
|
WAFOM over abelian groups for quasi-Monte Carlo point sets. Zbl 1388.11054
Suzuki, Kosuke |
|
2015
|
Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients. Zbl 1338.42039
Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
The \(b\)-adic tent transformation for quasi-Monte Carlo integration using digital nets. Zbl 1382.65012
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2015
|
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. Zbl 1504.11085
Dick, Josef; Goda, Takashi; Suzuki, Kosuke |
|
2022
|
An explicit construction of point sets with large minimum Dick weight. Zbl 1329.65011
Suzuki, Kosuke |
|
2014
|
Construction of interlaced polynomial lattice rules for infinitely differentiable functions. Zbl 1385.65002
Dick, Josef; Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes. Zbl 1459.11192
Suzuki, Kosuke; Yoshiki, Takehito |
|
2019
|
Optimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness. Zbl 1433.65031
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences. Zbl 1393.41010
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2018
|
The mean square quasi-Monte Carlo error for digitally shifted digital nets. Zbl 1356.65005
Goda, Takashi; Ohori, Ryuichi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
Recent advances in higher order quasi-Monte Carlo methods. Zbl 1462.65008
Goda, Takashi; Suzuki, Kosuke |
|
2020
|
Lattice-based integration algorithms: Kronecker sequences and rank-1 lattices. Zbl 1385.65003
Dick, Josef; Pillichshammer, Friedrich; Suzuki, Kosuke; Ullrich, Mario; Yoshiki, Takehito |
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2018
|
Improved bounds on the gain coefficients for digital nets in prime power base. Zbl 1518.65005
Goda, Takashi; Suzuki, Kosuke |
|
2023
|
A universal median quasi-Monte Carlo integration. Zbl 07813245
Goda, Takashi; Suzuki, Kosuke; Matsumoto, Makoto |
|
2024
|
Characterization of matrices \(B\) such that \((I,B,B^2)\) generates a digital net with \(t\)-value zero. Zbl 1423.11129
Kajiura, Hiroki; Matsumoto, Makoto; Suzuki, Kosuke |
|
2018
|
Quasi-Monte Carlo integration for twice differentiable functions over a triangle. Zbl 1366.65003
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
A universal median quasi-Monte Carlo integration. Zbl 07813245
Goda, Takashi; Suzuki, Kosuke; Matsumoto, Makoto |
|
2024
|
Improved bounds on the gain coefficients for digital nets in prime power base. Zbl 1518.65005
Goda, Takashi; Suzuki, Kosuke |
|
2023
|
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. Zbl 1504.11085
Dick, Josef; Goda, Takashi; Suzuki, Kosuke |
|
2022
|
Recent advances in higher order quasi-Monte Carlo methods. Zbl 1462.65008
Goda, Takashi; Suzuki, Kosuke |
|
2020
|
Lattice rules in non-periodic subspaces of Sobolev spaces. Zbl 1415.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2019
|
Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes. Zbl 1459.11192
Suzuki, Kosuke; Yoshiki, Takehito |
|
2019
|
Optimal order quadrature error bounds for infinite-dimensional higher-order digital sequences. Zbl 1393.41010
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2018
|
Lattice-based integration algorithms: Kronecker sequences and rank-1 lattices. Zbl 1385.65003
Dick, Josef; Pillichshammer, Friedrich; Suzuki, Kosuke; Ullrich, Mario; Yoshiki, Takehito |
|
2018
|
Characterization of matrices \(B\) such that \((I,B,B^2)\) generates a digital net with \(t\)-value zero. Zbl 1423.11129
Kajiura, Hiroki; Matsumoto, Makoto; Suzuki, Kosuke |
|
2018
|
Super-polynomial convergence and tractability of multivariate integration for infinitely times differentiable functions. Zbl 1359.65008
Suzuki, Kosuke |
|
2017
|
Construction of interlaced polynomial lattice rules for infinitely differentiable functions. Zbl 1385.65002
Dick, Josef; Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
Optimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness. Zbl 1433.65031
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
Quasi-Monte Carlo integration for twice differentiable functions over a triangle. Zbl 1366.65003
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2017
|
Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration. Zbl 1333.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
An explicit construction of optimal order quasi-Monte Carlo rules for smooth integrands. Zbl 1357.65006
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients. Zbl 1338.42039
Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
The mean square quasi-Monte Carlo error for digitally shifted digital nets. Zbl 1356.65005
Goda, Takashi; Ohori, Ryuichi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2016
|
WAFOM over abelian groups for quasi-Monte Carlo point sets. Zbl 1388.11054
Suzuki, Kosuke |
|
2015
|
The \(b\)-adic tent transformation for quasi-Monte Carlo integration using digital nets. Zbl 1382.65012
Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito |
|
2015
|
An explicit construction of point sets with large minimum Dick weight. Zbl 1329.65011
Suzuki, Kosuke |
|
2014
|