Takehito Yoshiki

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All published works
Action Title Year Authors
+ Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes 2019 Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat Richardson Extrapolation of Polynomial Lattice Rules 2019 Josef Dick
Takashi Goda
Takehito Yoshiki
+ PDF Chat Lattice rules in non-periodic subspaces of Sobolev spaces 2018 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ Digital net properties of a polynomial analogue of Frolov's construction 2018 Josef Dick
Friedrich Pillichshammer
Kosuke Suzuki
Mario Ullrich
Takehito Yoshiki
+ PDF Chat Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions 2017 Makoto Matsumoto
Ryuichi Ohori
Takehito Yoshiki
+ Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration 2017 Takehito Yoshiki
+ PDF Chat Lattice-based integration algorithms: Kronecker sequences and rank-1 lattices 2017 Josef Dick
Friedrich Pillichshammer
Kosuke Suzuki
Mario Ullrich
Takehito Yoshiki
+ PDF Chat Quasi-Monte Carlo integration for twice differentiable functions over a triangle 2017 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat Construction of interlaced polynomial lattice rules for infinitely differentiable functions 2017 Josef Dick
Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat Optimal Order Quadrature Error Bounds for Infinite-Dimensional Higher-Order Digital Sequences 2017 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat Optimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness 2016 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients 2016 Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat An Explicit Construction of Optimal Order Quasi--Monte Carlo Rules for Smooth Integrands 2016 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ PDF Chat The Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets 2016 Takashi Goda
Ryuichi Ohori
Kosuke Suzuki
Takehito Yoshiki
+ Enumeration of the Chebyshev-Frolov lattice points in axis-parallel boxes 2016 Kosuke Suzuki
Takehito Yoshiki
+ Approximation of Quasi-Monte Carlo worst case error in weighted spaces of infinitely times smooth functions 2016 Makoto Matsumoto
Ryuichi Ohori
Takehito Yoshiki
+ Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration 2015 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>b</mml:mi></mml:math>-adic tent transformation for quasi-Monte Carlo integration using digital nets 2015 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
+ Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration 2015 Takehito Yoshiki
+ A Lower Bound on WAFOM 2014 Takehito Yoshiki
+ A lower bound on WAFOM 2014 Takehito Yoshiki
+ The Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets. 2014 Takashi Goda
Ryuichi Ohori
Kosuke Suzuki
Takehito Yoshiki
+ A Lower Bound on WAFOM 2014 Takehito Yoshiki
+ Existence of Higher Order Convergent Quasi-Monte Carlo Rules via Walsh Figure of Merit 2013 Makoto Matsumoto
Takehito Yoshiki
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Walsh Spaces Containing Smooth Functions and Quasi–Monte Carlo Rules of Arbitrary High Order 2008 Josef Dick
15
+ Random Number Generation and Quasi-Monte Carlo Methods. 1993 Bruce Jay Collings
Harald Niederreiter
14
+ Digital Nets and Sequences 2010 Josef Dick
Friedrich Pillichshammer
14
+ Random Number Generation and Quasi-Monte Carlo Methods 1992 Harald Niederreiter
13
+ Lattice Methods for Multiple Integration 1994 Ian H. Sloan
Stephen Joe
10
+ PDF Chat Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions 2007 Josef Dick
9
+ PDF Chat THE DECAY OF THE WALSH COEFFICIENTS OF SMOOTH FUNCTIONS 2009 Josef Dick
7
+ QMC Rules of Arbitrary High Order: Reproducing Kernel Hilbert Space Approach 2009 Jan Baldeaux
Josef Dick
7
+ Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration 2017 Takehito Yoshiki
6
+ Rational Points on Curves Over Finite Fields: Theory and Applications 2001 Harald Niederreiter
Chaoping Xing
5
+ When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? 1998 Ian H. Sloan
Henryk WoĆșniakowski
5
+ PDF Chat The Role of Frolov's Cubature Formula for Functions with Bounded Mixed Derivative 2016 Mario Ullrich
Tino Ullrich
5
+ PDF Chat Low-discrepancy point sets obtained by digital constructions over finite fields 1992 Harald Niederreiter
5
+ Low-discrepancy point sets 1986 Harald Niederreiter
5
+ On the distribution of points in a cube and the approximate evaluation of integrals 1967 I. M. Sobol
5
+ Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration 2015 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
4
+ Obtaining O(N - 2+∈) Convergence for Lattice Quadrature Rules 2002 Fred J. Hickernell
4
+ The decay of the Walsh coefficients of smooth functions 2010 Josef Dick
Friedrich Pillichshammer
4
+ The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si4.gif" display="inline" overflow="scroll"><mml:mi>b</mml:mi></mml:math>-adic tent transformation for quasi-Monte Carlo integration using digital nets 2015 Takashi Goda
Kosuke Suzuki
Takehito Yoshiki
4
+ A computable figure of merit for quasi-Monte Carlo point sets 2013 Makoto Matsumoto
Mutsuo Saito
Kyle Matoba
4
+ Low-discrepancy and low-dispersion sequences 1988 Harald Niederreiter
4
+ Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces 2015 Takashi Goda
4
+ Fast algorithms for component-by-component construction of rank-1 lattice rules in shift-invariant reproducing kernel Hilbert spaces 2006 Dirk Nuyens
Ronald Cools
4
+ PDF Chat On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K.K. Frolov 2016 Mario Ullrich
4
+ PDF Chat Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order 2014 Takashi Goda
Josef Dick
4
+ Spline Models for Observational Data. 1991 Hans‐Georg MĂŒller
Grace Wahba
4
+ PDF Chat Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs 2014 Josef Dick
Frances Y. Kuo
QuĂŽc ThĂŽng LĂȘ Gia
Dirk Nuyens
Christoph Schwab
4
+ PDF Chat Change of Variable in Spaces of Mixed Smoothness and Numerical Integration of Multivariate Functions on the Unit Cube 2017 Van Kien Nguyen
Mario Ullrich
Tino Ullrich
4
+ Linear Information 2008 Erich Novak
Henryk WoĆșniakowski
3
+ Rational Points on Curves over Finite Fields 2001 Harald Niederreiter
Chaoping Xing
3
+ A lower estimate for the error of quadrature formulae for certain classes of functions 1963 I. F. Sharygin
3
+ Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules 2007 Josef Dick
Friedrich Pillichshammer
3
+ PDF Chat On the Walsh functions 1949 N. J. Fine
3
+ Construction algorithms for higher order polynomial lattice rules 2010 Jan Baldeaux
Josef Dick
Julia Greslehner
Friedrich Pillichshammer
3
+ PDF Chat A search for extensible low-WAFOM point sets 2016 Shin Harase
3
+ PDF Chat On the Fast Computation of the Weight Enumerator Polynomial and the $t$ Value of Digital Nets over Finite Abelian Groups 2013 Josef Dick
Makoto Matsumoto
3
+ PDF Chat Lattice rules for nonperiodic smooth integrands 2013 Josef Dick
Dirk Nuyens
Friedrich Pillichshammer
3
+ Uniform distribution of sequences 1974 L. Kuipers
Harald Niederreiter
3
+ Duality theory and propagation rules for higher order nets 2010 Jan Baldeaux
Josef Dick
Friedrich Pillichshammer
3
+ Cubature formulas, discrepancy, and nonlinear approximation 2003 Vladimir Temlyakov
3
+ WAFOM over abelian groups for quasi-Monte Carlo point sets 2015 Kosuke Suzuki
3
+ An explicit construction of point sets with large minimum Dick weight 2013 Kosuke Suzuki
3
+ On Quasi-Monte Carlo Rules Achieving Higher Order Convergence 2009 Josef Dick
3
+ Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration 2015 Takehito Yoshiki
3
+ Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients 2016 Kosuke Suzuki
Takehito Yoshiki
3
+ PDF Chat Duality for digital nets and its applications 2001 Harald Niederreiter
Gottlieb Pirsic
3
+ PDF Chat A generalized discrepancy and quadrature error bound 1998 Fred J. Hickernell
3
+ Existence of Higher Order Convergent Quasi-Monte Carlo Rules via Walsh Figure of Merit 2013 Makoto Matsumoto
Takehito Yoshiki
3
+ PDF Chat Computational Higher Order Quasi-Monte Carlo Integration 2016 Robert N. Gantner
Christoph Schwab
2
+ Walsh Series, An Introduction to Dyadic Harmonic Analysis 1990 Ferenc Schipp
William R. Wade
Peter Ć imon
2