Friedrich Pillichshammer

CoRR, 2024

2023

The curse of dimensionality for the Lp-discrepancy with finite p.

[BibT_eX]

[DOI]

Erich Novak

J. Complex., December, 2023

Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness.

[BibT_eX]

[DOI]

J. Complex., October, 2023

The BMO-discrepancy suffers from the curse of dimensionality.

[BibT_eX]

[DOI]

J. Complex., June, 2023

Grid-Based Decimation for Wavelet Transforms With Stably Invertible Implementation.

[BibT_eX]

[DOI]

Nicki Holighaus

Günther Koliander

Clara Hollomey

IEEE ACM Trans. Audio Speech Lang. Process., 2023

Bernstein approximation and beyond: proofs by means of elementary probability theory.

[BibT_eX]

[DOI]

Tiangang Cui

CoRR, 2023

Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation.

[BibT_eX]

[DOI]

Tiangang Cui

CoRR, 2023

The curse of dimensionality for the Lp-discrepancy with finite p.

[BibT_eX]

[DOI]

Erich Novak

CoRR, 2023

2022

Tractability of L2-approximation and integration in weighted Hermite spaces of finite smoothness.

[BibT_eX]

[DOI]

CoRR, 2022

Optimal periodic L2-discrepancy and diaphony bounds for higher order digital sequences.

[BibT_eX]

[DOI]

CoRR, 2022

Tractability of approximation in the weighted Korobov space in the worst-case setting.

[BibT_eX]

[DOI]

CoRR, 2022

2021

On quasi-Monte Carlo methods in weighted ANOVA spaces.

[BibT_eX]

[DOI]

Math. Comput., 2021

Secure pseudorandom bit generators and point sets with low star-discrepancy.

[BibT_eX]

[DOI]

Ana-Isabel Gómez

Domingo Gómez-Pérez

J. Comput. Appl. Math., 2021

Weighted integration over a hyperrectangle based on digital nets and sequences.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2021

On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces.

[BibT_eX]

[DOI]

Mathias Sonnleitner

J. Complex., 2021

A note on Korobov lattice rules for integration of analytic functions.

[BibT_eX]

[DOI]

J. Complex., 2021

Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture.

[BibT_eX]

[DOI]

J. Complex., 2021

2020

On efficient weighted integration via a change of variables.

[BibT_eX]

[DOI]

Leszek Plaskota

Numerische Mathematik, 2020

A note on isotropic discrepancy and spectral test of lattice point sets.

[BibT_eX]

[DOI]

Mathias Sonnleitner

J. Complex., 2020

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals.

[BibT_eX]

[DOI]

J. Complex., 2020

Tractability properties of the discrepancy in Orlicz norms.

[BibT_eX]

[DOI]

Joscha Prochno

J. Complex., 2020

On alternative quantization for doubly weighted approximation and integration over unbounded domains.

[BibT_eX]

[DOI]

Leszek Plaskota

J. Approx. Theory, 2020

On the relation of the spectral test to isotropic discrepancy and Lq-approximation in Sobolev spaces.

[BibT_eX]

[DOI]

Mathias Sonnleitner

CoRR, 2020

Weighted integration over a cube based on digital nets and sequences.

[BibT_eX]

[DOI]

CoRR, 2020

A note on the periodic L2-discrepancy of Korobov's p-sets.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Truncation dimension for linear problems on multivariate function spaces.

[BibT_eX]

[DOI]

Numer. Algorithms, 2019

Truncation in average and worst case settings for special classes of ∞-variate functions.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2019

Tractability properties of the weighted star discrepancy of the Halton sequence.

[BibT_eX]

[DOI]

Shu Tezuka

J. Comput. Appl. Math., 2019

2018

On the Optimal Order of Integration in Hermite Spaces with Finite Smoothness.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Integration and approximation in cosine spaces of smooth functions.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2018

Editorial.

[BibT_eX]

[DOI]

Evelyn Buckwar

Arne Winterhof

Math. Comput. Simul., 2018

Tractability properties of the weighted star discrepancy of regular grids.

[BibT_eX]

[DOI]

J. Complex., 2018

Digital net properties of a polynomial analogue of Frolov's construction.

[BibT_eX]

[DOI]

Kosuke Suzuki

Mario Ullrich

Takehito Yoshiki

Finite Fields Their Appl., 2018

2017

L∞-Approximation in Korobov spaces with exponential weights.

[BibT_eX]

[DOI]

J. Complex., 2017

A note on equivalence of anchored and ANOVA spaces; lower bounds.

[BibT_eX]

[DOI]

J. Complex., 2017

2016

Very low truncation dimension for high dimensional integration under modest error demand.

[BibT_eX]

[DOI]

J. Complex., 2016

Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces.

[BibT_eX]

[DOI]

Peter Hellekalek

J. Complex., 2016

Tractability of multivariate approximation defined over Hilbert spaces with exponential weights.

[BibT_eX]

[DOI]

J. Approx. Theory, 2016

Approximation in Hermite spaces of smooth functions.

[BibT_eX]

[DOI]

J. Approx. Theory, 2016

Lattice based integration algorithms: Kronecker sequences and rank-1 lattices.

[BibT_eX]

[DOI]

Kosuke Suzuki

Mario Ullrich

Takehito Yoshiki

CoRR, 2016

2015

Numerical integration in log-Korobov and log-cosine spaces.

[BibT_eX]

[DOI]

Numer. Algorithms, 2015

A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2015

Integration in Hermite spaces of analytic functions.

[BibT_eX]

[DOI]

J. Complex., 2015

Proof techniques in quasi-Monte Carlo theory.

[BibT_eX]

[DOI]

J. Complex., 2015

2014

Lattice rules for nonperiodic smooth integrands.

[BibT_eX]

[DOI]

Dirk Nuyens

Numerische Mathematik, 2014

Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces.

[BibT_eX]

[DOI]

Math. Comput., 2014

Approximation of analytic functions in Korobov spaces.

[BibT_eX]

[DOI]

J. Complex., 2014

The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers.

[BibT_eX]

[DOI]

Proceedings of the Sequences and Their Applications - SETA 2014, 2014

Tractability of Multivariate Integration in Hybrid Function Spaces.

[BibT_eX]

[DOI]

Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014

Tractability of multivariate analytic problems.

[BibT_eX]

[DOI]

Proceedings of the Uniform Distribution and Quasi-Monte Carlo Methods, 2014

Explicit constructions of point sets and sequences with low discrepancy.

[BibT_eX]

[DOI]

Proceedings of the Uniform Distribution and Quasi-Monte Carlo Methods, 2014

Some highlights of Harald Niederreiter's work.

[BibT_eX]

[DOI]

Arne Winterhof

Chaoping Xing

Proceedings of the Applied Algebra and Number Theory, 2014

2013

On the existence and distribution quality of hyperplane sequences.

[BibT_eX]

[DOI]

Gottlieb Pirsic

Finite Fields Their Appl., 2013

2012

Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules.

[BibT_eX]

[DOI]

Numer. Algorithms, 2012

Discrepancy of higher rank polynomial lattice point sets.

[BibT_eX]

[DOI]

Julia Greslehner

Monte Carlo Methods Appl., 2012

2011

Exponential convergence and tractability of multivariate integration for Korobov spaces.

[BibT_eX]

[DOI]

Math. Comput., 2011

Construction algorithms for higher order polynomial lattice rules.

[BibT_eX]

[DOI]

Jan Baldeaux

Julia Greslehner

J. Complex., 2011

Extensible hyperplane nets.

[BibT_eX]

[DOI]

Gottlieb Pirsic

Finite Fields Their Appl., 2011

Duality theory and propagation rules for higher order nets.

[BibT_eX]

[DOI]

Jan Baldeaux

Discret. Math., 2011

2010

Euler's Constant and Averages of Fractional Parts.

[BibT_eX]

[DOI]

Am. Math. Mon., 2010

2009

Learning a function from noisy samples at a finite sparse set of points.

[BibT_eX]

[DOI]

Andreas Hofinger

J. Approx. Theory, 2009

2008

The Sum of Distances between Vertices of a Convex Polygon with Unit Perimeter.

[BibT_eX]

[DOI]

Am. Math. Mon., 2008

The construction of good extensible rank-1 lattices.

[BibT_eX]

[DOI]

Benjamin J. Waterhouse

Math. Comput., 2008

Component-by-component construction of low-discrepancy point sets of small size.

[BibT_eX]

[DOI]

Benjamin Doerr

Michael Gnewuch

Monte Carlo Methods Appl., 2008

Tractability properties of the weighted star discrepancy.

[BibT_eX]

[DOI]

Wolfgang Ch. Schmid

J. Complex., 2008

2007

The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets.

[BibT_eX]

[DOI]

Ligia L. Cristea

Numerische Mathematik, 2007

Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules.

[BibT_eX]

[DOI]

J. Complex., 2007

On the existence of higher order polynomial lattices based on a generalized figure of merit.

[BibT_eX]

[DOI]

Wolfgang Ch. Schmid

J. Complex., 2007

Constructions of general polynomial lattice rules based on the weighted star discrepancy.

[BibT_eX]

[DOI]

Finite Fields Their Appl., 2007

The construction of good extensible Korobov rules.

[BibT_eX]

[DOI]

Benjamin J. Waterhouse

Computing, 2007

2006

Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces.

[BibT_eX]

[DOI]

Gottlieb Pirsic

SIAM J. Numer. Anal., 2006

On the mean square weighted L2 discrepancy of randomized digital nets in prime base.

[BibT_eX]

[DOI]

Ligia L. Cristea

J. Complex., 2006

2005

Construction Algorithms for Digital Nets with Low Weighted Star Discrepancy.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

Construction algorithms for polynomial lattice rules for multivariate integration.

[BibT_eX]

[DOI]

Frances Y. Kuo

Ian H. Sloan

Math. Comput., 2005

Diaphony, discrepancy, spectral test and worst-case error.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2005

Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces.

[BibT_eX]

[DOI]

J. Complex., 2005

2004

A lower bound for rank 2 lattice rules.

[BibT_eX]

[DOI]

Math. Comput., 2004

On the root mean square weighted L2 discrepancy of scrambled nets.

[BibT_eX]

[DOI]

J. Complex., 2004

2003

Bounds for the weighted Lp discrepancy and tractability of integration.

[BibT_eX]

[DOI]

J. Complex., 2003

2002

On the L2-Discrepancy of the Sobol-Hammersley Net in Dimension 3.

[BibT_eX]

[DOI]

J. Complex., 2002

A Method for Approximate Inversion of the Hyperbolic CDF.

[BibT_eX]

[DOI]