The Mean Square Quasi-Monte Carlo Error for Digitally Shifted Digital Nets. - Takashi Goda; Ryuichi Ohori; Kosuke Suzuki; Takehito Yoshiki (MCQMC, 2014)

Construction of Interlaced Scrambled Polynomial Lattice Rules of Arbitrary High Order. - Takashi Goda; Josef Dick (Found. Comput. Math., 2015)

The b-adic tent transformation for quasi-Monte Carlo integration using digital nets. - Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (J. Approx. Theory, 2015)

Constructing good higher order polynomial lattice rules with modulus of reduced degree. - Takashi Goda (J. Complex., 2015)

Good interlaced polynomial lattice rules for numerical integration in weighted Walsh spaces. - Takashi Goda (J. Comput. Appl. Math., 2015)

Fast construction of higher order digital nets for numerical integration in weighted Sobolev spaces. - Takashi Goda (Numer. Algorithms, 2015)

Digital nets with infinite digit expansions and construction of folded digital nets for quasi-Monte Carlo integration. - Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (J. Complex., 2016)

Quasi-Monte Carlo integration using digital nets with antithetics. - Takashi Goda (J. Comput. Appl. Math., 2016)

An Explicit Construction of Optimal Order Quasi-Monte Carlo Rules for Smooth Integrands. - Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (SIAM J. Numer. Anal., 2016)

Construction of interlaced polynomial lattice rules for infinitely differentiable functions. - Josef Dick; Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (Numerische Mathematik, 2017)

Computing the variance of a conditional expectation via non-nested Monte Carlo. - Takashi Goda (Oper. Res. Lett., 2017)

Optimal Order Quadrature Error Bounds for Infinite-Dimensional Higher-Order Digital Sequences. - Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (Found. Comput. Math., 2018)

Multilevel Monte Carlo estimation of log marginal likelihood. - Takashi Goda; Kei Ishikawa (CoRR, 2019)

On the separability of multivariate functions. - Takashi Goda (Math. Comput. Simul., 2019)

Lattice rules in non-periodic subspaces of Sobolev spaces. - Takashi Goda; Kosuke Suzuki; Takehito Yoshiki (Numerische Mathematik, 2019)

Decision-making under uncertainty: using MLMC for efficient estimation of EVPPI. - Michael B. Giles; Takashi Goda (Stat. Comput., 2019)

Richardson Extrapolation of Polynomial Lattice Rules. - Josef Dick; Takashi Goda; Takehito Yoshiki (SIAM J. Numer. Anal., 2019)

Efficient Debiased Variational Bayes by Multilevel Monte Carlo Methods. - Kei Ishikawa; Takashi Goda (CoRR, 2020)

Unbiased MLMC stochastic gradient-based optimization of Bayesian experimental designs. - Takashi Goda; Tomohiko Hironaka; Wataru Kitade (CoRR, 2020)

Multilevel Monte Carlo Estimation of the Expected Value of Sample Information. - Tomohiko Hironaka; Michael B. Giles; Takashi Goda; Howard Thom (SIAM/ASA J. Uncertain. Quantification, 2020)

Efficient debiased evidence estimation by multilevel Monte Carlo sampling. - Kei Ishikawa; Takashi Goda (UAI, 2021)

Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm. - Josef Dick; Takashi Goda (J. Comput. Appl. Math., 2021)

A simple algorithm for global sensitivity analysis with Shapley effects. - Takashi Goda (Reliab. Eng. Syst. Saf., 2021)

Toeplitz Monte Carlo. - Josef Dick; Takashi Goda; Hiroya Murata (Stat. Comput., 2021)

Sub-optimality of Gauss-Hermite quadrature and optimality of trapezoidal rule for functions with finite smoothness. - Yoshihito Kazashi; Yuya Suzuki; Takashi Goda (CoRR, 2022)

Improved bounds on the gain coefficients for digital nets in prime base. - Takashi Goda; Kosuke Suzuki (CoRR, 2022)

A universal median quasi-Monte Carlo integration. - Takashi Goda; Kosuke Suzuki (CoRR, 2022)

Polynomial tractability for integration in an unweighted function space with absolutely convergent Fourier series. - Takashi Goda (CoRR, 2022)

A note on concatenation of quasi-Monte Carlo and plain Monte Carlo rules in high dimensions. - Takashi Goda (J. Complex., 2022)

Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. - Josef Dick; Takashi Goda; Kosuke Suzuki (Math. Comput., 2022)

Unbiased MLMC Stochastic Gradient-Based Optimization of Bayesian Experimental Designs. - Takashi Goda; Tomohiko Hironaka; Wataru Kitade; Adam Foster 001 (SIAM J. Sci. Comput., 2022)

Construction-Free Median Quasi-Monte Carlo Rules for Function Spaces with Unspecified Smoothness and General Weights. - Takashi Goda; Pierre L'Ecuyer (SIAM J. Sci. Comput., 2022)

Strong tractability for multivariate integration in a subspace of the Wiener algebra. - Takashi Goda (CoRR, 2023)

Estimating nested expectations without inner conditional sampling and application to value of information analysis. - Tomohiko Hironaka; Takashi Goda (CoRR, 2023)

Are quasi-Monte Carlo sequences quasi-uniform? - Takashi Goda (CoRR, 2023)

An efficient estimation of nested expectations without conditional sampling. - Tomohiko Hironaka; Takashi Goda (J. Comput. Appl. Math., 2023)

Constructing unbiased gradient estimators with finite variance for conditional stochastic optimization. - Takashi Goda; Wataru Kitade (Math. Comput. Simul., 2023)

Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces. - Takashi Goda; Yoshihito Kazashi; Yuya Suzuki (Math. Comput., 2023)

Improved bounds on the gain coefficients for digital nets in prime power base. - Takashi Goda; Kosuke Suzuki (J. Complex., 2023)

Suboptimality of Gauss-Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness. - Yoshihito Kazashi; Yuya Suzuki; Takashi Goda (SIAM J. Numer. Anal., 2023)

A randomized lattice rule without component-by-component construction. - Takashi Goda (CoRR, 2024)

L2-approximation using randomized lattice algorithms. - Mou Cai; Takashi Goda; Yoshihito Kazashi (CoRR, 2024)

Some tractability results for multivariate integration in subspaces of the Wiener algebra. - Josef Dick; Takashi Goda; Kosuke Suzuki (CoRR, 2024)

A simple universal algorithm for high-dimensional integration. - Takashi Goda; David Krieg 001 (CoRR, 2024)

How Sharp Are Error Bounds? -Lower Bounds on Quadrature Worst-Case Errors for Analytic Functions-. - Takashi Goda; Yoshihito Kazashi; Ken'ichiro Tanaka (SIAM J. Numer. Anal., 2024)

A Universal Median Quasi-Monte Carlo Integration. - Takashi Goda; Kosuke Suzuki; Makoto Matsumoto (SIAM J. Numer. Anal., 2024)

A note on unshifted lattice rules for high-dimensional integration in weighted unanchored Sobolev spaces. - Takashi Goda (Appl. Math. Lett., 2025)

Tractability results for integration in subspaces of the Wiener algebra. - Josef Dick; Takashi Goda; Kosuke Suzuki (J. Complex., 2025)

L2-approximation using median lattice algorithms. - Zexin Pan; Peter Kritzer; Takashi Goda (CoRR, 2025)

Quasi-Monte Carlo hyperinterpolation. - Congpei An; Mou Cai; Takashi Goda (CoRR, 2025)

The median trick does not help for fully nested scrambling. - Takashi Goda; Kosuke Suzuki (CoRR, 2025)