Frances Y. Kuo

96 papers Journal 95

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Lattice-based Deep Neural Networks: Regularity and Tailored Regularization. CoRR Alexander Keller, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2025	J	`jnl`	Density Estimation for Elliptic PDE with Random Input by Preintegration and Quasi-Monte Carlo Methods. SIAM J. Numer. Anal. Alexander D. Gilbert, Frances Y. Kuo, Abirami Srikumar
2025	J	`jnl`	Minimal Subsampled Rank-1 Lattices for Multivariate Approximation with Optimal Convergence Rate. CoRR Felix Bartel, Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2025	J	`jnl`	Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients. CoRR Alexander D. Gilbert, Michael B. Giles, Frances Y. Kuo, Ian H. Sloan, Abirami Srikumar
2025	J	`jnl`	Quasi-Monte Carlo methods for uncertainty quantification of tumor growth modeled by a parametric semi-linear parabolic reaction-diffusion equation. CoRR Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens, Graham Pash, Ian H. Sloan, Karen E. Willcox
2025	J	`jnl`	Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation. CoRR Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan, Euan A. Spence
2025	J	`jnl`	Regularity and Tailored Regularization of Deep Neural Networks, with application to parametric PDEs in uncertainty quantification. CoRR Alexander Keller, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2024	J	`jnl`	Corrigendum: Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
2024	J	`jnl`	Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods. CoRR Alexander D. Gilbert, Frances Y. Kuo, Abirami Srikumar
2024	J	`jnl`	Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. Numerische Mathematik Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
2024	J	`jnl`	Uncertainty quantification for random domains using periodic random variables. Numerische Mathematik Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2023	J	`jnl`	Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities. SIAM J. Numer. Anal. Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2023	J	`jnl`	Comparison of Two Search Criteria for Lattice-based Kernel Approximation. CoRR Frances Y. Kuo, Weiwen Mo, Dirk Nuyens, Ian H. Sloan, Abirami Srikumar
2023	J	`jnl`	Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions. CoRR Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2023	J	`jnl`	Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. CoRR Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes
2023	J	`jnl`	Random-prime-fixed-vector randomised lattice-based algorithm for high-dimensional integration. J. Complex. Frances Y. Kuo, Dirk Nuyens, Laurence Wilkes
2022	J	`jnl`	Constructing Embedded Lattice-based Algorithms for Multivariate Function Approximation with a Composite Number of Points. CoRR Frances Y. Kuo, Weiwen Mo, Dirk Nuyens
2022	J	`jnl`	Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ Math. Comput. Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2022	J	`jnl`	Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. Numerische Mathematik Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
2022	J	`jnl`	Parabolic PDE-constrained optimal control under uncertainty with entropic risk measure using quasi-Monte Carlo integration. CoRR Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
2022	J	`jnl`	Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation. CoRR Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan, Abirami Srikumar
2022	J	`jnl`	Uncertainty quantification for random domains using periodic random variables. CoRR Harri Hakula, Helmut Harbrecht, Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2021	J	`jnl`	A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty. SIAM/ASA J. Uncertain. Quantification Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
2021	J	`jnl`	Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration. CoRR Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2021	J	`jnl`	Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$. CoRR Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2021	J	`jnl`	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. Math. Comput. Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2021	J	`jnl`	Function integration, reconstruction and approximation using rank-1 lattices. Math. Comput. Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens
2021	J	`jnl`	Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. J. Comput. Phys. Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan
2021	J	`jnl`	Preintegration is not smoothing when monotonicity fails. CoRR Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2021	J	`jnl`	Quasi-Monte Carlo Finite Element Analysis for Wave Propagation in Heterogeneous Random Media. SIAM/ASA J. Uncertain. Quantification Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
2020	J	`jnl`	Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. CoRR Vesa Kaarnioja, Yoshihito Kazashi, Frances Y. Kuo, Fabio Nobile, Ian H. Sloan
2020	J	`jnl`	Guest editors' preface. J. Complex. Dmitriy Bilyk, Aicke Hinrichs, Frances Y. Kuo, Klaus Ritter
2020	—	`ch.`	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. 75 Years of Mathematics of Computation Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2020	J	`jnl`	Lattice meets lattice: Application of lattice cubature to models in lattice gauge theory. CoRR Tobias Hartung, Karl Jansen, Frances Y. Kuo, Hernan Leövey, Dirk Nuyens, Ian H. Sloan
2020	J	`jnl`	Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media. CoRR Mahadevan Ganesh, Frances Y. Kuo, Ian H. Sloan
2020	J	`jnl`	Uncertainty Quantification Using Periodic Random Variables. SIAM J. Numer. Anal. Vesa Kaarnioja, Frances Y. Kuo, Ian H. Sloan
2019	J	`jnl`	A quasi-Monte Carlo Method for an Optimal Control Problem Under Uncertainty. CoRR Philipp A. Guth, Vesa Kaarnioja, Frances Y. Kuo, Claudia Schillings, Ian H. Sloan
2019	J	`jnl`	Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 19341). Dagstuhl Reports Dmitriy Bilyk, Aicke Hinrichs, Frances Y. Kuo, Klaus Ritter
2019	J	`jnl`	Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Numerische Mathematik Alexander D. Gilbert, Ivan G. Graham, Frances Y. Kuo, Robert Scheichl, Ian H. Sloan
2019	J	`jnl`	Correction to: Fast random field generation with Numerische Mathematik Michael Feischl, Frances Y. Kuo, Ian H. Sloan
2019	J	`jnl`	Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights. CoRR Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2019	J	`jnl`	Function integration, reconstruction and approximation using rank-1 lattices. CoRR Frances Y. Kuo, Giovanni Migliorati, Fabio Nobile, Dirk Nuyens
2019	J	`jnl`	Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. CoRR Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Ian H. Sloan
2019	J	`jnl`	Lattice rules with random n achieve nearly the optimal O(n-α-1∕2) error independently of the dimension. J. Approx. Theory Peter Kritzer, Frances Y. Kuo, Dirk Nuyens, Mario Ullrich
2018	J	`jnl`	Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. SIAM J. Numer. Anal. Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2018	J	`jnl`	Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Numerische Mathematik Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2018	J	`jnl`	Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals. SIAM J. Sci. Comput. Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens, Grzegorz W. Wasilkowski
2018	J	`jnl`	Fast random field generation with Numerische Mathematik Michael Feischl, Frances Y. Kuo, Ian H. Sloan
2018	J	`jnl`	Hiding the weights - CBC black box algorithms with a guaranteed error bound. Math. Comput. Simul. Alexander D. Gilbert, Frances Y. Kuo, Ian H. Sloan
2018	J	`jnl`	High dimensional integration of kinks and jumps - Smoothing by preintegration. J. Comput. Appl. Math. Andreas Griewank, Frances Y. Kuo, Hernan Leövey, Ian H. Sloan
2017	J	`jnl`	Efficient implementations of the Multivariate Decomposition Method for approximating infinite-variate integrals. CoRR Alexander D. Gilbert, Frances Y. Kuo, Dirk Nuyens, Grzegorz W. Wasilkowski
2017	J	`jnl`	Infinite-dimensional integration and the multivariate decomposition method. J. Comput. Appl. Math. Frances Y. Kuo, Dirk Nuyens, Leszek Plaskota, Ian H. Sloan, Grzegorz W. Wasilkowski
2017	J	`jnl`	Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems. Math. Comput. Frances Y. Kuo, Robert Scheichl, Christoph Schwab, Ian H. Sloan, Elisabeth Ullmann
2017	J	`jnl`	Multivariate integration for analytic functions with Gaussian kernels. Math. Comput. Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
2017	J	`jnl`	Note on "The smoothing effect of integration in ℝ Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2017	J	`jnl`	The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth. Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2016	J	`jnl`	Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation. Found. Comput. Math. Frances Y. Kuo, Dirk Nuyens
2016	J	`jnl`	Multilevel Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations. SIAM J. Numer. Anal. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab
2016	J	`jnl`	Optimal algorithms for doubly weighted approximation of univariate functions. J. Approx. Theory Frances Y. Kuo, Leszek Plaskota, Grzegorz W. Wasilkowski
2016	J	`jnl`	Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions. J. Complex. Ronald Cools, Frances Y. Kuo, Dirk Nuyens, Gowri Suryanarayana
2015	J	`jnl`	Fast QMC Matrix-Vector Multiplication. SIAM J. Sci. Comput. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Christoph Schwab
2015	J	`jnl`	Guest Editors' Preface. J. Complex. Michael Gnewuch, Frances Y. Kuo, Harald Niederreiter, Henryk Wozniakowski
2015	J	`jnl`	Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients. Found. Comput. Math. Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
2015	J	`jnl`	Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Numerische Mathematik Ivan G. Graham, Frances Y. Kuo, James A. Nichols, Robert Scheichl, Christoph Schwab, Ian H. Sloan
2014	J	`jnl`	Fast CBC construction of randomly shifted lattice rules achieving O(n J. Complex. James A. Nichols, Frances Y. Kuo
2014	J	`jnl`	Higher Order QMC Petrov-Galerkin Discretization for Affine Parametric Operator Equations with Random Field Inputs. SIAM J. Numer. Anal. Josef Dick, Frances Y. Kuo, Quoc Thong Le Gia, Dirk Nuyens, Christoph Schwab
2013	J	`jnl`	High-dimensional integration: The quasi-Monte Carlo way. Acta Numer. Josef Dick, Frances Y. Kuo, Ian H. Sloan
2013	J	`jnl`	The smoothing effect of integration in R Math. Comput. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2012	J	`jnl`	Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 12391). Dagstuhl Reports Alexander Keller, Frances Y. Kuo, Andreas Neuenkirch, Joseph F. Traub
2012	J	`jnl`	Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. SIAM J. Numer. Anal. Frances Y. Kuo, Christoph Schwab, Ian H. Sloan
2012	J	`jnl`	Weighted compound integration rules with higher order convergence for all N. Numer. Algorithms Fred J. Hickernell, Peter Kritzer, Frances Y. Kuo, Dirk Nuyens
2011	J	`jnl`	Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. J. Comput. Phys. Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens, Robert Scheichl, Ian H. Sloan
2010	J	`jnl`	Constructing lattice rules based on weighted degree of exactness and worst case error. Computing Ronald Cools, Frances Y. Kuo, Dirk Nuyens
2010	J	`jnl`	Liberating the dimension. J. Complex. Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
2010	J	`jnl`	On decompositions of multivariate functions. Math. Comput. Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Henryk Wozniakowski
2010	J	`jnl`	Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands. J. Complex. Frances Y. Kuo, Ian H. Sloan, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse
2010	J	`jnl`	The smoothing effect of the ANOVA decomposition. J. Complex. Michael Griebel, Frances Y. Kuo, Ian H. Sloan
2009	J	`jnl`	On the power of standard information for multivariate approximation in the worst case setting. J. Approx. Theory Frances Y. Kuo, Grzegorz W. Wasilkowski, Henryk Wozniakowski
2008	J	`jnl`	Constructing Sobol Sequences with Better Two-Dimensional Projections. SIAM J. Sci. Comput. Stephen Joe, Frances Y. Kuo
2008	J	`jnl`	Lattice rule algorithms for multivariate approximation in the average case setting. J. Complex. Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
2008	J	`jnl`	Multivariate L J. Approx. Theory Frances Y. Kuo, Grzegorz W. Wasilkowski, Henryk Wozniakowski
2007	J	`jnl`	A component-by-component approach to efficient numerical integration over products of spheres. J. Complex. Kerstin Hesse, Frances Y. Kuo, Ian H. Sloan
2007	J	`jnl`	Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels. J. Complex. Josef Dick, Peter Kritzer, Frances Y. Kuo, Ian H. Sloan
2007	J	`jnl`	Periodization strategy may fail in high dimensions. Numer. Algorithms Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
2006	J	`jnl`	Constructing Embedded Lattice Rules for Multivariate Integration. SIAM J. Sci. Comput. Ronald Cools, Frances Y. Kuo, Dirk Nuyens
2006	J	`jnl`	Randomly shifted lattice rules for unbounded integrands. J. Complex. Frances Y. Kuo, Grzegorz W. Wasilkowski, Benjamin J. Waterhouse
2006	J	`jnl`	Randomly shifted lattice rules on the unit cube for unbounded integrands in high dimensions. J. Complex. Benjamin J. Waterhouse, Frances Y. Kuo, Ian H. Sloan
2005	J	`jnl`	Construction algorithms for polynomial lattice rules for multivariate integration. Math. Comput. Josef Dick, Frances Y. Kuo, Friedrich Pillichshammer, Ian H. Sloan
2005	J	`jnl`	Quasi-Monte Carlo methods can be efficient for integration over products of spheres. J. Complex. Frances Y. Kuo, Ian H. Sloan
2004	J	`jnl`	Reducing the construction cost of the component-by-component construction of good lattice rules. Math. Comput. Josef Dick, Frances Y. Kuo
2003	J	`jnl`	Component-By-Component Construction of Good Intermediate-Rank Lattice Rules. SIAM J. Numer. Anal. Frances Y. Kuo, Stephen Joe
2003	J	`jnl`	Component-by-component constructions achieve the optimal rate of convergence for multivariate integration in weighted Korobov and Sobolev spaces. J. Complex. Frances Y. Kuo
2003	J	`jnl`	Remark on algorithm 659: Implementing Sobol's quasirandom sequence generator. ACM Trans. Math. Softw. Stephen Joe, Frances Y. Kuo
2002	J	`jnl`	Component-by-Component Construction of Good Lattice Rules with a Composite Number of Points. J. Complex. Frances Y. Kuo, Stephen Joe
2002	J	`jnl`	Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces. SIAM J. Numer. Anal. Ian H. Sloan, Frances Y. Kuo, Stephen Joe
2002	J	`jnl`	On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces. Math. Comput. Ian H. Sloan, Frances Y. Kuo, Stephen Joe