Bounds for the Average Lp-Extreme and the L∞-Extreme Discrepancy. - Michael Gnewuch (Electron. J. Comb., 2005)

Bounds and constructions for the star-discrepancy via ?-covers. - Benjamin Doerr; Michael Gnewuch; Anand Srivastav (J. Complex., 2005)

Discrepancy of Symmetric Products of Hypergraphs. - Benjamin Doerr; Michael Gnewuch; Nils Hebbinghaus (Electron. J. Comb., 2006)

A rigorous view on neutrality. - Benjamin Doerr; Michael Gnewuch; Nils Hebbinghaus; Frank Neumann 001 (IEEE Congress on Evolutionary Computation, 2007)

Cubature formulas for function spaces with moderate smoothness. - Michael Gnewuch; René Lindloh; Reinhold Schneider; Anand Srivastav (J. Complex., 2007)

Generalized tractability for multivariate problems Part I: Linear tensor product problems and linear information. - Michael Gnewuch; Henryk Wozniakowski (J. Complex., 2007)

Construction of Minimal Bracketing Covers for Rectangles. - Michael Gnewuch (Electron. J. Comb., 2008)

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

Component-by-component construction of low-discrepancy point sets of small size. - Benjamin Doerr; Michael Gnewuch; Peter Kritzer; Friedrich Pillichshammer (Monte Carlo Methods Appl., 2008)

Discrepancy Bounds for Mixed Sequences. - Michael Gnewuch (Algorithms and Complexity for Continuous Problems, 2009)

Weighted L_2 B Discrepancy and Approximation of Integrals over Reproducing Kernel Hilbert Spaces. - Michael Gnewuch (Algorithms and Complexity for Continuous Problems, 2009)

Generalized Tractability for Multivariate Problems Part II: Linear Tensor Product Problems, Linear Information, and Unrestricted Tractability. - Michael Gnewuch; Henryk Wozniakowski (Found. Comput. Math., 2009)

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

Finding optimal volume subintervals with k points and calculating the star discrepancy are NP-hard problems. - Michael Gnewuch; Anand Srivastav; Carola Winzen (J. Complex., 2009)

Correction of a proof in "A probabilistic result on the discrepancy of a hybrid-Monte Carlo sequence and applications". - Giray Ökten; Michael Gnewuch (Monte Carlo Methods Appl., 2009)

Algorithmic construction of low-discrepancy point sets via dependent randomized rounding. - Benjamin Doerr; Michael Gnewuch; Magnus Wahlström (J. Complex., 2010)

A Randomized Algorithm Based on Threshold Accepting to Approximate the Star Discrepancy - Michael Gnewuch; Magnus Wahlström; Carola Winzen (CoRR, 2011)

Quasi-polynomial tractability. - Michael Gnewuch; Henryk Wozniakowski (J. Complex., 2011)

Lower Error Bounds for Randomized Multilevel and Changing Dimension Algorithms - Michael Gnewuch (CoRR, 2012)

Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces. - Michael Gnewuch (J. Complex., 2012)

Infinite-dimensional integration on weighted Hilbert spaces. - Michael Gnewuch (Math. Comput., 2012)

A New Randomized Algorithm to Approximate the Star Discrepancy Based on Threshold Accepting. - Michael Gnewuch; Magnus Wahlström; Carola Winzen (SIAM J. Numer. Anal., 2012)

Infinite-Dimensional Integration in Weighted Hilbert Spaces: Anchored Decompositions, Optimal Deterministic Algorithms, and Higher-Order Convergence. - Josef Dick; Michael Gnewuch (Found. Comput. Math., 2014)

Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition. - Josef Dick; Michael Gnewuch (J. Approx. Theory, 2014)

On weighted Hilbert spaces and integration of functions of infinitely many variables. - Michael Gnewuch; Sebastian Mayer; Klaus Ritter 001 (J. Complex., 2014)

Optimal Randomized Multilevel Algorithms for Infinite-Dimensional Integration on Function Spaces with ANOVA-Type Decomposition. - Jan Baldeaux; Michael Gnewuch (SIAM J. Numer. Anal., 2014)

Guest Editors' Preface. - Michael Gnewuch; Frances Y. Kuo; Harald Niederreiter; Henryk Wozniakowski (J. Complex., 2015)

Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration. - Michael Gnewuch; Mario Hefter; Aicke Hinrichs; Klaus Ritter 001 (J. Approx. Theory, 2017)

Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in Lp. - Michael Gnewuch; Mario Hefter; Aicke Hinrichs; Klaus Ritter 001; Grzegorz W. Wasilkowski (J. Complex., 2017)

Embeddings for infinite-dimensional integration and L2-approximation with increasing smoothness. - Michael Gnewuch; Mario Hefter; Aicke Hinrichs; Klaus Ritter 001; Grzegorz W. Wasilkowski (J. Complex., 2019)

Randomized sparse grid algorithms for multivariate integration on Haar-Wavelet spaces. - Marcin Wnuk; Michael Gnewuch (CoRR, 2020)

Explicit error bounds for randomized Smolyak algorithms and an application to infinite-dimensional integration. - Michael Gnewuch; Marcin Wnuk (J. Approx. Theory, 2020)

Note on pairwise negative dependence of randomly shifted and jittered rank-1 lattices. - Marcin Wnuk; Michael Gnewuch (Oper. Res. Lett., 2020)

Discrepancy Bounds for a Class of Negatively Dependent Random Points Including Latin Hypercube Samples. - Michael Gnewuch; Nils Hebbinghaus (CoRR, 2021)

On negative dependence properties of Latin hypercube samples and scrambled nets. - Benjamin Doerr; Michael Gnewuch (J. Complex., 2021)

A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy. - Michael Gnewuch; Hendrik Pasing; Christian Weiß (Math. Comput., 2021)

Countable tensor products of Hermite spaces and spaces of Gaussian kernels. - Michael Gnewuch; Mario Hefter; Aicke Hinrichs; Klaus Ritter 001 (J. Complex., 2022)

Infinite-Variate L2-Approximation with Nested Subspace Sampling. - Kumar Harsha; Michael Gnewuch; Marcin Wnuk (CoRR, 2023)

Infinite-dimensional integration and L2-approximation on Hermite spaces. - Michael Gnewuch; Aicke Hinrichs; Klaus Ritter 001; Robin Rüßmann (CoRR, 2023)

New Bounds for the Extreme and the Star Discrepancy of Double-Infinite Matrices. - Jasmin Fiedler; Michael Gnewuch; Christian Weiß (CoRR, 2023)

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy. - Michael Gnewuch; Peter Kritzer; Art B. Owen; Zexin Pan (CoRR, 2023)

Algorithms and Complexity for Continuous Problems (Dagstuhl Seminar 23351). - Dmitriy Bilyk; Michael Gnewuch; Jan Vybíral; Larisa Yaroslavtseva; Kumar Harsha (Dagstuhl Reports, 2023)

QMC integration based on arbitrary (t,m,s)-nets yields optimal convergence rates on several scales of function spaces. - Michael Gnewuch; Josef Dick; Lev Markhasin; Winfried Sickel (CoRR, 2024)

Data Compression using Rank-1 Lattices for Parameter Estimation in Machine Learning. - Michael Gnewuch; Kumar Harsha; Marcin Wnuk (CoRR, 2024)

Multi- and Infinite-variate Integration and L2-Approximation on Hilbert Spaces with Gaussian Kernels. - Michael Gnewuch; Klaus Ritter 001; Robin Rüßmann (CoRR, 2024)

Infinite-dimensional integration and L2-approximation on Hermite spaces. - Michael Gnewuch; Aicke Hinrichs; Klaus Ritter 001; Robin Rüßmann (J. Approx. Theory, 2024)

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