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Michael Gnewuch
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Finding optimal volume subintervals with k points and calculating the star discrepancy are NP-hard problems
M Gnewuch, A Srivastav, C Winzen
Journal of Complexity 25 (2), 115-127, 2009
692009
Calculation of discrepancy measures and applications
C Doerr, M Gnewuch, M Wahlström
A panorama of discrepancy theory, 621-678, 2014
632014
Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy
M Gnewuch
Journal of Complexity 24 (2), 154-172, 2008
632008
Quasi-polynomial tractability
M Gnewuch, H Woźniakowski
Journal of Complexity 27 (3-4), 312-330, 2011
582011
Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition
J Baldeaux, M Gnewuch
SIAM Journal on Numerical Analysis 52 (3), 1128-1155, 2014
472014
Bounds and constructions for the star-discrepancy via δ-covers
B Doerr, M Gnewuch, A Srivastav
Journal of Complexity 21 (5), 691-709, 2005
462005
On weighted Hilbert spaces and integration of functions of infinitely many variables
M Gnewuch, S Mayer, K Ritter
Journal of Complexity 30 (2), 29-47, 2014
442014
Infinite-dimensional integration on weighted Hilbert spaces
M Gnewuch
Mathematics of Computation 81 (280), 2175-2205, 2012
442012
A new randomized algorithm to approximate the star discrepancy based on threshold accepting
M Gnewuch, M Wahlström, C Winzen
SIAM Journal on Numerical Analysis 50 (2), 781-807, 2012
382012
Infinite-dimensional integration in weighted Hilbert spaces: anchored decompositions, optimal deterministic algorithms, and higher-order convergence
J Dick, M Gnewuch
Foundations of Computational Mathematics 14 (5), 1027-1077, 2014
292014
Component-by-component construction of low-discrepancy point sets of small size
B Doerr, M Gnewuch, P Kritzer, F Pillichshammer
Walter de Gruyter GmbH & Co. KG 14 (2), 129-149, 2008
282008
On probabilistic results for the discrepancy of a hybrid-Monte Carlo sequence
M Gnewuch
Journal of Complexity 25 (4), 312-317, 2009
262009
Algorithmic construction of low-discrepancy point sets via dependent randomized rounding
B Doerr, M Gnewuch, M Wahlström
Journal of Complexity 26 (5), 490-507, 2010
242010
Optimal randomized changing dimension algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition
J Dick, M Gnewuch
Journal of Approximation Theory 184, 111-145, 2014
232014
Weighted geometric discrepancies and numerical integration on reproducing kernel Hilbert spaces
M Gnewuch
Journal of Complexity 28 (1), 2-17, 2012
232012
Discrepancy bounds for a class of negatively dependent random points including Latin hypercube samples
M Gnewuch, N Hebbinghaus
The Annals of Applied Probability 31 (4), 1944-1965, 2021
222021
Entropy, randomization, derandomization, and discrepancy
M Gnewuch
Monte Carlo and quasi-Monte Carlo methods 2010, 43-78, 2012
222012
Construction of low-discrepancy point sets of small size by bracketing covers and dependent randomized rounding
B Doerr, M Gnewuch
Monte Carlo and Quasi-Monte Carlo Methods 2006, 299-312, 2006
212006
Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration
M Gnewuch, M Hefter, A Hinrichs, K Ritter
Journal of Approximation Theory 222, 8-39, 2017
202017
Lower error bounds for randomized multilevel and changing dimension algorithms
M Gnewuch
Monte Carlo and Quasi-Monte Carlo Methods 2012, 399-415, 2013
202013
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Articles 1–20