Leszek Plaskota

Pawel Siedlecki

J. Complex., December, 2023

2022

Automatic approximation using asymptotically optimal adaptive interpolation.

[BibT_eX]

[DOI]

Pawel Samoraj

Numer. Algorithms, 2022

Monte Carlo integration with adaptive variance reduction: an asymptotic analysis.

[BibT_eX]

[DOI]

Pawel Przybylowicz

Lukasz T. Stepien

CoRR, 2022

2020

On efficient weighted integration via a change of variables.

[BibT_eX]

[DOI]

Peter Kritzer

Friedrich Pillichshammer

Numerische Mathematik, 2020

Absolute value information for IBC problems.

[BibT_eX]

[DOI]

Pawel Siedlecki

Henryk Wozniakowski

J. Complex., 2020

Complexity of approximating Hölder classes from information with varying Gaussian noise.

[BibT_eX]

[DOI]

Pawel M. Morkisz

J. Complex., 2020

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

[BibT_eX]

[DOI]

Peter Kritzer

Friedrich Pillichshammer

J. Approx. Theory, 2020

2017

Infinite-dimensional integration and the multivariate decomposition method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2017

2016

Approximation of piecewise Hölder functions from inexact information.

[BibT_eX]

[DOI]

Pawel M. Morkisz

J. Complex., 2016

Optimal algorithms for doubly weighted approximation of univariate functions.

[BibT_eX]

[DOI]

Frances Y. Kuo

J. Approx. Theory, 2016

2015

Automatic integration using asymptotically optimal adaptive Simpson quadrature.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

2014

Efficient algorithms for multivariate and ∞-variate integration with exponential weight.

[BibT_eX]

[DOI]

Numer. Algorithms, 2014

Continuous Problems: Optimality, Complexity, Tractability (Invited Talk).

[BibT_eX]

[DOI]

Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2013

An Adaptive Algorithm for Weighted Approximation of Singular Functions over R.

[BibT_eX]

[DOI]

Yaxi Zhao

SIAM J. Numer. Anal., 2013

2012

On Some Integrated Approaches to Inference

[BibT_eX]

[DOI]

CoRR, 2012

2011

Tractability of infinite-dimensional integration in the worst case and randomized settings.

[BibT_eX]

[DOI]

J. Complex., 2011

Guest Editors' Preface.

[BibT_eX]

[DOI]

Thomas Müller-Gronbach

Wolfgang Ch. Schmid

J. Complex., 2011

2009

New averaging technique for approximating weighted integrals.

[BibT_eX]

[DOI]

Yaxi Zhao

J. Complex., 2009

09391 Abstracts Collection - Algorithms and Complexity for Continuous Problems.

[BibT_eX]

[DOI]

Thomas Müller-Gronbach

Joseph F. Traub

Proceedings of the Algorithms and Complexity for Continuous Problems, 20.09. - 25.09.2009, 2009

2008

Uniform Approximation of Piecewise r-Smooth and Globally Continuous Functions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2008

The power of adaption for approximating functions with singularities.

[BibT_eX]

[DOI]

Yaxi Zhao

Math. Comput., 2008

2007

Issue dedicated to Professor Henryk Wozniakowski.

[BibT_eX]

[DOI]

Boleslaw Z. Kacewicz

J. Complex., 2007

2006

Guest Editors' preface.

[BibT_eX]

[DOI]

Ian H. Sloan

J. Complex., 2006

2005

Adaption allows efficient integration of functions with unknown singularities.

[BibT_eX]

[DOI]

Numerische Mathematik, 2005

Information-based nonlinear approximation: an average case setting.

[BibT_eX]

[DOI]

J. Complex., 2005

Machine Learning and Statistical MAP Methods.

[BibT_eX]

[DOI]

Andrzej W. Przybyszewski

Proceedings of the Intelligent Information Processing and Web Mining, 2005

Statistical Likelihood Representations of Prior Knowledge in Machine Learning.

[BibT_eX]

Andrzej W. Przybyszewski

Proceedings of the IASTED International Conference on Artificial Intelligence and Applications, 2005

2004

Smolyak's Algorithm for Integration and L1-Approximation of Multivariate Functions with Bounded Mixed Derivatives of Second Order.

[BibT_eX]

[DOI]

Numer. Algorithms, 2004

A Monte Carlo algorithm for weighted integration over Reald.

[BibT_eX]

[DOI]

Piotr Gajda

Youming Li

Math. Comput., 2004

Optimal designs for weighted approximation and integration of stochastic processes on [0, infinity).

[BibT_eX]

[DOI]

Klaus Ritter

J. Complex., 2004

Guest Editors' Preface.

[BibT_eX]

[DOI]

Klaus Ritter

J. Complex., 2004

Information-Based Nonlinear Approximation: An Average Case Setting.

[BibT_eX]

[DOI]

Proceedings of the Algorithms and Complexity for Continuous Problems, 26. September, 2004

2002

Average Case Complexity of Weighted Approximation and Integration over R+.

[BibT_eX]

[DOI]

Klaus Ritter

J. Complex., 2002

2001

The Exact Exponent of Sparse Grid Quadratures in the Weighted Case.

[BibT_eX]

[DOI]

J. Complex., 2001

Complexity of Neural Network Approximation with Limited Information: A Worst Case Approach.

[BibT_eX]

[DOI]

J. Complex., 2001

2000

Information complexity of neural networks.

[BibT_eX]

[DOI]

Neural Networks, 2000

The exponent of discrepancy of sparse grids is at least 2.1933.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2000

1996

Worst Case Complexity of Problems with Random Information Noise.

[BibT_eX]

[DOI]

J. Complex., 1996

How to Benefit from Noise.

[BibT_eX]

[DOI]

J. Complex., 1996

Noisy information and computational complexity.

[BibT_eX]

Cambridge University Press, ISBN: 978-0-521-55368-1, 1996

1995

Average Complexity for Linear Problems in a Model with Varying Information Noise.

[BibT_eX]

[DOI]

J. Complex., 1995

1993

A Note on Varying Cardinality in the Average Case Setting.

[BibT_eX]

[DOI]

J. Complex., 1993

The Minimal Cost of Approximating Linear Operators Using Perturbed Information-The Asymptotic Setting.

[BibT_eX]

[DOI]

Boleslaw Z. Kacewicz

J. Complex., 1993

1992

Function approximation and integration on the wiener space with noisy data.

[BibT_eX]

[DOI]

J. Complex., 1992

1991

Noisy information for linear problems in the asymptotic setting.

[BibT_eX]

[DOI]

Boleslaw Z. Kacewicz

J. Complex., 1991

1990

On average case complexity of linear problems with noisy information.

[BibT_eX]

[DOI]

J. Complex., 1990

1989

Asymptotic error for the global maximum of functions in s dimensions.

[BibT_eX]

[DOI]