JD
Josef Dick
cs.NAmath.NAmath.NTstat.COmath.STstat.THcs.LGmath.PRcharacterizationconvolutional neural networks
On Valency
published · living versionsW_mce6whuj·v1 · currentpublished
Randomly shifted lattice rules for SDEs with constant diffusion: error bounds uniform in time discretization and dimension
with Du Ouyang, Ziyang Ye
1 version
W_ntewqfqq·v2published
Preprints & journals
81 papers in the corpus · 2010–2026The -Luxemburg Discrepancy for Nonnegative Weights Suffers from the Curse of Dimensionality2610.21717v1 · Josef Dick, Friedrich Pillichshammer2026 · 0 citationsarXiv
High Probability Derivative Bounds for Random tanh Neural Networks on a Hypercube2608.26526v1 · Josef Dick, Michael Feischl, Fabian Zehetgruber2026 · 0 citationsarXiv
A lattice algorithm with multiple shifts for function approximation in Korobov spaces2511.09071v2 · Mou Cai, Josef Dick, Takashi Goda2025 · 0 citationsarXiv
Bayesian inference calibration of the modulus of elasticity2510.27060v1 · J. Dick, Q. T. Le Gia, K. Mustapha2025 · 0 citationsarXiv
A decomposition-based robust training of physics-informed neural networks for nearly incompressible linear elasticity2505.21994v2 · Josef Dick, Seungchan Ko, Quoc Thong Le Gia et al.2025 · 0 citationsarXiv
A median QMC method for unbounded integrands over in weighted unanchored Sobolev spaces2503.05334v4 · Ziyang Ye, Josef Dick, Xiaoqun Wang2025 · 0 citationsNumerische Mathematik 158 (2026), 1613-1635
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part I: Lattices and Kronecker sequences2502.06202v2 · Josef Dick, Takashi Goda, Gerhard Larcher et al.2025 · 0 citationsarXiv
On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part II: digital nets and sequences2501.18226v2 · Josef Dick, Takashi Goda, Kosuke Suzuki2025 · 0 citationsarXiv
Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence2412.03164v1 · Josef Dick, Friedrich Pillichshammer2024 · 0 citationsarXiv
Tractability results for integration in subspaces of the Wiener algebra2410.09060v2 · Josef Dick, Takashi Goda, Kosuke Suzuki2024 · 4 citationsarXiv
Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values2409.00893v1 · Josef Dick, Hecong Gao, William McLean et al.2024 · 1 citationarXiv
A simple modification to mitigate locking in conforming FEM for nearly incompressible elasticity2407.06831v3 · K. Mustapha, W. McLean, J. Dick et al.2024 · 1 citationarXiv
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations2402.11545v1 · J. Dick, T. Le Gia, W. McLean et al.2024 · 0 citationsarXiv
An -robust and second-order accurate scheme for a subdiffusion equation2401.04946v2 · Kassem Mustapha, William McLean, Josef Dick2024 · 5 citationsJournal of Scientific Computing, 2024
Sparse grid approximation of nonlinear SPDEs: The Landau--Lifshitz--Gilbert equation2310.11225v3 · Xin An, Josef Dick, Michael Feischl et al.2023 · 1 citationSIAM JUQ 13(2) pp 472 517 2025
Quasi-Monte Carlo sparse grid Galerkin finite element methods for linear elasticity equations with uncertainties2310.06187v3 · M. Clarke, J. Dick, Q. T. Le Gia et al.2023 · 0 citationsarXiv
The fast reduced QMC matrix-vector product2305.11645v1 · Josef Dick, Adrian Ebert, Lukas Herrmann et al.2023 · 2 citationsarXiv
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation2304.14786v1 · Tiangang Cui, Josef Dick, Friedrich Pillichshammer2023 · 3 citationsarXiv
Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold.37323829 · Dick, Josef, Ehler, Martin, Gräf, Manuel et al.2023 · 5 citationsConstructive approximation. 2023;57(3):983-1026
Deep Learning Extraction of the Temperature-Dependent Parameters of Bulk Defects.36259636 · Buratti, Yoann, Dick, Josef, Le Gia, Quoc et al.2022 · 6 citationsACS applied materials & interfaces. 2022;14(43):48647-48657
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate2109.11694v2 · Josef Dick, Takashi Goda, Kosuke Suzuki2021 · 11 citationsMathematics of Computation, Volume 91, Issue 338, 2771-2801, 2022
Weighted integration over a cube based on digital nets and sequences2009.06993v1 · Josef Dick, Friedrich Pillichshammer2020 · 0 citationsarXiv
A quasi-Monte Carlo data compression algorithm for machine learning2004.02491v2 · Josef Dick, Michael Feischl2020 · 10 citationsarXiv
Deep Learning Based Unsupervised and Semi-supervised Classification for Keratoconus2001.11653v1 · Nicole Hallett, Kai Yi, Josef Dick et al.2020 · 30 citationsarXiv
A note on the periodic -discrepancy of Korobov's -sets2001.01973v1 · Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer2020 · 0 citationsarXiv
Stability of lattice rules and polynomial lattice rules constructed by the component-by-component algorithm1912.10651v2 · Josef Dick, Takashi Goda2019 · 12 citationsJournal of Computational and Applied Mathematics, Volume 382, Article 113062, 2021
A weighted Discrepancy Bound of quasi-Monte Carlo Importance Sampling1901.08115v1 · Josef Dick, Daniel Rudolf, Houying Zhu2019 · 8 citationsarXiv
Improved Efficiency of a Multi-Index FEM for Computational Uncertainty Quantification1806.04159v2 · Josef Dick, Michael Feischl, Christoph Schwab2018 · 7 citationsarXiv
Digital net properties of a polynomial analogue of Frolov's construction1712.06831v2 · Josef Dick, Friedrich Pillichshammer, Kosuke Suzuki et al.2017 · 0 citationsarXiv
Richardson extrapolation of polynomial lattice rules1707.03989v2 · Josef Dick, Takashi Goda, Takehito Yoshiki2017 · 11 citationsSIAM Journal on Numerical Analysis, Volume 57, Issue 1, 44-69, 2019
Multilevel higher order Quasi-Monte Carlo Bayesian Estimation1611.08324v1 · Josef Dick, Robert N. Gantner, Quoc T. Le Gia et al.2016 · 42 citationsarXiv
On the optimal order of integration in Hermite spaces with finite smoothness1608.06061v3 · Josef Dick, Christian Irrgeher, Gunther Leobacher et al.2016 · 33 citationsarXiv
Computationally Efficient Bayesian Estimation of High Dimensional Copulas with Discrete and Mixed Margins1608.06174v3 · D. Gunawan, M.-N. Tran, K. Suzuki et al.2016 · 2 citationsarXiv
Discrepancy of second order digital sequences in function spaces with dominating mixed smoothness1604.08713v2 · Josef Dick, Aicke Hinrichs, Lev Markhasin et al.2016 · 6 citationsarXiv
Higher order Quasi-Monte Carlo integration for Bayesian Estimation1602.07363v1 · Josef Dick, Robert N. Gantner, Quoc T. Le Gia et al.2016 · 16 citationsarXiv
Construction of interlaced polynomial lattice rules for infinitely differentiable functions1602.00793v2 · Josef Dick, Takashi Goda, Kosuke Suzuki et al.2016 · 6 citationsNumerische Mathematik, Volume 137, Issue 2, 257-288, 2017
Digital inversive vectors can achieve strong polynomial tractability for the weighted star discrepancy and for multivariate integration1512.06521v1 · Josef Dick, Domingo Gomez-Perez, Friedrich Pillichshammer et al.2015 · 0 citationsarXiv
A Discrepancy Bound for Deterministic Acceptance-Rejection Samplers Beyond in Dimension 11510.05351v2 · Houying Zhu, Josef Dick2015 · 1 citationarXiv
On a projection-corrected component-by-component construction1502.04396v2 · Josef Dick, Peter Kritzer2015 · 6 citationsarXiv
Fast QMC matrix-vector multiplication1501.06286v1 · Josef Dick, Frances Y. Kuo, Quoc T. Le Gia et al.2015 · 13 citationsSIAM J. Sci. Comput. 37 (2015), no. 3, A1436--A1450
Numerical integration in -Korobov and -cosine spaces1411.2715v1 · Josef Dick, Peter Kritzer, Gunther Leobacher et al.2014 · 1 citationarXiv
Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification1409.7970v1 · Josef Dick, Quoc Thong Le Gia, Christoph Schwab2014 · 1 citationarXiv
Higher order Quasi-Monte Carlo integration for holomorphic, parametric operator equations1409.2180v2 · Josef Dick, Quoc T. Le Gia, Christoph Schwab2014 · 51 citationsarXiv
Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling1408.4609v1 · Johann S. Brauchart, Josef Dick, Lou Fang2014 · 13 citationsJ. Comput. Appl. Math. 286 (2015), 28--53
Discrepancy Estimates for Acceptance-Rejection Samplers Using Stratified Inputs1408.1742v1 · Houying Zhu, Josef Dick2014 · 2 citationsarXiv
Covering of spheres by spherical caps and worst-case error for equal weight cubature in Sobolev spaces1407.8311v2 · Johann S. Brauchart, Josef Dick, Edward B. Saff et al.2014 · 29 citationsJ. Math. Anal. Appl. 431 (2015), no. 2, 782--811
The inverse of the star-discrepancy problem and the generation of pseudo-random numbers1407.4208v1 · Josef Dick, Friedrich Pillichshammer2014 · 2 citationsarXiv
Multi-level higher order QMC Galerkin discretization for affine parametric operator equations1406.4432v2 · Josef Dick, Frances Kuo, Quoc Thong Le Gia et al.2014 · 8 citationsarXiv
Functions of bounded variation, signed measures, and a general Koksma-Hlawka inequality1406.0230v2 · Christoph Aistleitner, Josef Dick2014 · 57 citationsarXiv
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights1404.5497v1 · Josef Dick, Peter Kritzer, Gunther Leobacher et al.2014 · 20 citationsarXiv
Career total: 206 works. 81 are in this corpus.Showing the 50 most recent.
Profile built from the corpus for this byline.
Author records are still filling in while the Hub is in alpha. If this is your page, you'll be able to claim it soon. Spot a mistake? Tell us.