Grzegorz W. Wasilkowski

Affiliations:
  • University of Kentucky, Lexington, KY, USA


According to our database1, Grzegorz W. Wasilkowski authored at least 96 papers between 1980 and 2023.

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Bibliography

2023
Changes of the Editorial Board.
J. Complex., April, 2023

2021
On quasi-Monte Carlo methods in weighted ANOVA spaces.
Math. Comput., 2021

Quasi-Monte Carlo and ε-truncation dimension in ANOVA spaces.
J. Complex., 2021

2020
On efficient weighted integration via a change of variables.
Numerische Mathematik, 2020

ε-superposition and truncation dimensions in average and probabilistic settings for ∞-variate linear problems.
J. Complex., 2020

Editorial board announcements.
J. Complex., 2020

On alternative quantization for doubly weighted approximation and integration over unbounded domains.
J. Approx. Theory, 2020

2019
Truncation dimension for linear problems on multivariate function spaces.
Numer. Algorithms, 2019

Truncation in average and worst case settings for special classes of ∞-variate functions.
Math. Comput. Simul., 2019

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

2018
Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals.
SIAM J. Sci. Comput., 2018

Changes of the Editorial Board.
J. Complex., 2018

New Members of the Editorial Board.
J. Complex., 2018

2017
Infinite-dimensional integration and the multivariate decomposition method.
J. Comput. Appl. Math., 2017

A note on equivalence of anchored and ANOVA spaces; lower bounds.
J. Complex., 2017

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

Small superposition dimension and active set construction for multivariate integration under modest error demand.
J. Complex., 2017

2016
Very low truncation dimension for high dimensional integration under modest error demand.
J. Complex., 2016

On equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in L<sub>1</sub> or L<sub>∞</sub>.
J. Complex., 2016

Optimal algorithms for doubly weighted approximation of univariate functions.
J. Approx. Theory, 2016

2014
Efficient algorithms for multivariate and ∞-variate integration with exponential weight.
Numer. Algorithms, 2014

Average case tractability of approximating ∞-variate functions.
Math. Comput., 2014

Tractability of approximation of ∞-variate functions with bounded mixed partial derivatives.
J. Complex., 2014

2013
An Adaptive Algorithm for Weighted Approximation of Singular Functions over R.
SIAM J. Numer. Anal., 2013

On tractability of linear tensor product problems for <i>∞</i>∞-variate classes of functions.
J. Complex., 2013

Erratum to "Liberating the dimension for L2-approximation" [Journal of Complexity 28 (2012) 304-319].
J. Complex., 2013

On tractability of approximation in special function spaces.
J. Complex., 2013

2012
Liberating the dimension for L<sub>2</sub>-approximation.
J. Complex., 2012

2011
Liberating the dimension for function approximation: Standard information.
J. Complex., 2011

Liberating the dimension for function approximation.
J. Complex., 2011

Tractability of infinite-dimensional integration in the worst case and randomized settings.
J. Complex., 2011

2010
On the exponent of discrepancies.
Math. Comput., 2010

On decompositions of multivariate functions.
Math. Comput., 2010

Liberating the dimension.
J. Complex., 2010

Randomly shifted lattice rules with the optimal rate of convergence for unbounded integrands.
J. Complex., 2010

2009
New averaging technique for approximating weighted integrals.
J. Complex., 2009

On the power of standard information for multivariate approximation in the worst case setting.
J. Approx. Theory, 2009

Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Average Case Setting.
Found. Comput. Math., 2009

2008
Uniform Approximation of Piecewise r-Smooth and Globally Continuous Functions.
SIAM J. Numer. Anal., 2008

The power of adaption for approximating functions with singularities.
Math. Comput., 2008

Multivariate L<sub>∞</sub> approximation in the worst case setting over reproducing kernel Hilbert spaces.
J. Approx. Theory, 2008

2007
The power of standard information for multivariate approximation in the randomized setting.
Math. Comput., 2007

Issue dedicated to Professor Henryk Wozniakowski.
J. Complex., 2007

2006
Randomly shifted lattice rules for unbounded integrands.
J. Complex., 2006

2005
A Piecewise Constant Algorithm for Weighted L<sub>1</sub> Approximation over Bounded or Unbounded Regions in R<sup>s</sup>.
SIAM J. Numer. Anal., 2005

Adaption allows efficient integration of functions with unknown singularities.
Numerische Mathematik, 2005

Polynomial-Time Algorithms for Multivariate Linear Problems with Finite-Order Weights: Worst Case Setting.
Found. Comput. Math., 2005

2004
Smolyak's Algorithm for Integration and <i>L</i><sub>1</sub>-Approximation of Multivariate Functions with Bounded Mixed Derivatives of Second Order.
Numer. Algorithms, 2004

On strong tractability of weighted multivariate integration.
Math. Comput., 2004

On tractability of weighted integration over bounded and unbounded regions in Real<sup>s</sup>.
Math. Comput., 2004

A Monte Carlo algorithm for weighted integration over Real<sup>d</sup>.
Math. Comput., 2004

On polynomial-time property for a class of randomized quadratures.
J. Complex., 2004

Optimal designs for weighted approximation and integration of stochastic processes on [0, infinity).
J. Complex., 2004

Finite-order weights imply tractability of linear multivariate problems.
J. Approx. Theory, 2004

2002
Average Case Complexity of Weighted Approximation and Integration over R<sup>+</sup>.
J. Complex., 2002

Dagstuhl 2000.
J. Complex., 2002

Worst Case Complexity of Weighted Approximation and Integration over R<sup>d</sup>.
J. Complex., 2002

2001
On the complexity of stochastic integration.
Math. Comput., 2001

Complexity of Weighted Approximation over R<sup>d</sup>.
J. Complex., 2001

The Exact Exponent of Sparse Grid Quadratures in the Weighted Case.
J. Complex., 2001

On the Power of Standard Information for Weighted Approximation.
Found. Comput. Math., 2001

2000
A new optimal algorithm for weighted approximation and integration over ℝ.
Numer. Algorithms, 2000

1999
Weighted Tensor Product Algorithms for Linear Multivariate Problems.
J. Complex., 1999

1997
The exponent of discrepancy is at most 1.4778....
Math. Comput., 1997

1996
Average Case Complexity of Multivariate Integration and Function Approximation: An Overview.
J. Complex., 1996

1995
Parallel B-Spline Surface Interpolation on a Mesh-Connected Processor Array.
J. Parallel Distributed Comput., 1995

Explicit Cost Bounds of Algorithms for Multivariate Tensor Product Problems.
J. Complex., 1995

1994
The Computational Complexity of Differential and Integral Equations: An Information-Based Approach (Arthur G. Werschulz).
SIAM Rev., 1994

Computing Convex Hull in a Floating Point Arithmetic.
Comput. Geom., 1994

On Strong Tractability of Multivariate Problems.
Proceedings of the Technology and Foundations - Information Processing '94, Volume 1, Proceedings of the IFIP 13th World Computer Congress, Hamburg, Germany, 28 August, 1994

1993
A new zero-crossing-based discontinuity detector.
IEEE Trans. Image Process., 1993

There Exists a Linear Problem with Infinite Combinatory Complexity.
J. Complex., 1993

Discontinuity Detection and Thresholding-A Stochastic Approach.
J. Complex., 1993

On Detecting Regularity of Functions: A Probabilistic Analysis.
J. Complex., 1993

Numerical Stability of a Convex Hull Algorithm for Simple Polygons.
Algorithmica, 1993

1992
On average complexity of global optimization problems.
Math. Program., 1992

On a posteriori upper bounds for approximating linear functionals in a probabilistic setting.
J. Complex., 1992

1990
Note on quantization for signals with bounded (r + 1)st derivative.
J. Complex., 1990

On the average complexity of multivariate problems.
J. Complex., 1990

1989
Mixed settings for linear problems.
J. Complex., 1989

On adaptive information with varying cardinality for linear problems with elliptically contoured measures.
J. Complex., 1989

Randomization for continuous problems.
J. Complex., 1989

A clock synchronization problem with random delays.
J. Complex., 1989

1988
On adaption with noisy information.
J. Complex., 1988

Computational Aspects Of Determining Optical Flow.
Proceedings of the Second International Conference on Computer Vision, 1988

Information-based complexity.
Computer science and scientific computing, Academic Press, ISBN: 978-0-12-697545-1, 1988

1987
A note on the trade-off between sampling and quantization in signal processing.
J. Complex., 1987

1986
Information of varying cardinality.
J. Complex., 1986

Approximation of linear functionals on a banach space with a Gaussian measure.
J. Complex., 1986

How powerful is continuous nonlinear information for linear problems?
J. Complex., 1986

1985
Average case optimality.
J. Complex., 1985

1984
Average Case Optimality for Linear Problems.
Theor. Comput. Sci., 1984

1983
Any Iteration for Polynomial Equations Using Linear Information has Infinite Complexity.
Theor. Comput. Sci., 1983

Inverse Function Problem.
J. Inf. Process. Cybern., 1983

1981
n-Evaluation Conjecture for Multipoint Iterations for the Solution of Scalar Nonlinear Equations.
J. ACM, 1981

1980
Can Any Stationary Iteration Using Linear Information Be Globally Convergent?.
J. ACM, 1980


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