Michael Gnewuch

According to our database1, Michael Gnewuch authored at least 46 papers between 2005 and 2024.

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Bibliography

2024
Improved bounds for the bracketing number of orthants or revisiting an algorithm of Thiémard to compute bounds for the star discrepancy.
J. Complex., 2024

Infinite-dimensional integration and L2-approximation on Hermite spaces.
J. Approx. Theory, 2024

Data Compression using Rank-1 Lattices for Parameter Estimation in Machine Learning.
CoRR, 2024

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces.
CoRR, 2024

2023
Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 23351).
Dagstuhl Reports, 2023

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy.
CoRR, 2023

New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices.
CoRR, 2023

Infinite-dimensional integration and L<sup>2</sup>-approximation on Hermite spaces.
CoRR, 2023

Infinite-Variate L<sup>2</sup>-Approximation with Nested Subspace Sampling.
CoRR, 2023

2022
Countable tensor products of Hermite spaces and spaces of Gaussian kernels.
J. Complex., 2022

2021
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy.
Math. Comput., 2021

On negative dependence properties of Latin hypercube samples and scrambled nets.
J. Complex., 2021

Discrepancy Bounds for a Class of Negatively Dependent Random Points Including Latin Hypercube Samples.
CoRR, 2021

2020
Note on pairwise negative dependence of randomly shifted and jittered rank-1 lattices.
Oper. Res. Lett., 2020

Explicit error bounds for randomized Smolyak algorithms and an application to infinite-dimensional integration.
J. Approx. Theory, 2020

Randomized sparse grid algorithms for multivariate integration on Haar-Wavelet spaces.
CoRR, 2020

2019
Embeddings for infinite-dimensional integration and L2-approximation with increasing smoothness.
J. Complex., 2019

2017
Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in L<sub>p</sub>.
J. Complex., 2017

Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration.
J. Approx. Theory, 2017

2015
Guest Editors' Preface.
J. Complex., 2015

2014
Optimal Randomized Multilevel Algorithms for Infinite-Dimensional Integration on Function Spaces with ANOVA-Type Decomposition.
SIAM J. Numer. Anal., 2014

On weighted Hilbert spaces and integration of functions of infinitely many variables.
J. Complex., 2014

Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition.
J. Approx. Theory, 2014

Infinite-Dimensional Integration in Weighted Hilbert Spaces: Anchored Decompositions, Optimal Deterministic Algorithms, and Higher-Order Convergence.
Found. Comput. Math., 2014

2012
A New Randomized Algorithm to Approximate the Star Discrepancy Based on Threshold Accepting.
SIAM J. Numer. Anal., 2012

Infinite-dimensional integration on weighted Hilbert spaces.
Math. Comput., 2012

Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces.
J. Complex., 2012

Lower Error Bounds for Randomized Multilevel and Changing Dimension Algorithms
CoRR, 2012

2011
Quasi-polynomial tractability.
J. Complex., 2011

A Randomized Algorithm Based on Threshold Accepting to Approximate the Star Discrepancy
CoRR, 2011

2010
Algorithmic construction of low-discrepancy point sets via dependent randomized rounding.
J. Complex., 2010

2009
Correction of a proof in "A probabilistic result on the discrepancy of a hybrid-Monte Carlo sequence and applications".
Monte Carlo Methods Appl., 2009

Finding optimal volume subintervals with k points and calculating the star discrepancy are NP-hard problems.
J. Complex., 2009

On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence.
J. Complex., 2009

Generalized Tractability for Multivariate Problems Part II: Linear Tensor Product Problems, Linear Information, and Unrestricted Tractability.
Found. Comput. Math., 2009

Weighted L_2 B Discrepancy and Approximation of Integrals over Reproducing Kernel Hilbert Spaces.
Proceedings of the Algorithms and Complexity for Continuous Problems, 20.09. - 25.09.2009, 2009

Discrepancy Bounds for Mixed Sequences.
Proceedings of the Algorithms and Complexity for Continuous Problems, 20.09. - 25.09.2009, 2009

2008
Component-by-component construction of low-discrepancy point sets of small size.
Monte Carlo Methods Appl., 2008

Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy.
J. Complex., 2008

Construction of Minimal Bracketing Covers for Rectangles.
Electron. J. Comb., 2008

2007
Generalized tractability for multivariate problems Part I: Linear tensor product problems and linear information.
J. Complex., 2007

Cubature formulas for function spaces with moderate smoothness.
J. Complex., 2007

A rigorous view on neutrality.
Proceedings of the IEEE Congress on Evolutionary Computation, 2007

2006
Discrepancy of Symmetric Products of Hypergraphs.
Electron. J. Comb., 2006

2005
Bounds and constructions for the star-discrepancy via ?-covers.
J. Complex., 2005

Bounds for the Average L<sup>p</sup>-Extreme and the L<sup>∞</sup>-Extreme Discrepancy.
Electron. J. Comb., 2005


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