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- Publications
- Influence
When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?
- I. Sloan, H. Wozniakowski
- Computer Science, Mathematics
- J. Complex.
- 1 March 1998
TLDR
Tractability of Multivariate Problems
- E. Novak, H. Wozniakowski
- Mathematics
- 2 September 2008
Multivariate problems occur in many applications. These problems are defined on spaces of d-variate functions and d can be huge – in the hundreds or even in the thousands. Some high-dimensional… Expand
Explicit Cost Bounds of Algorithms for Multivariate Tensor Product Problems
- G. Wasilkowski, H. Wozniakowski
- Computer Science, Mathematics
- J. Complex.
- 1 March 1995
TLDR
The inverse of the star-discrepancy depends linearly on the dimension
- S. Heinrich, H. Wozniakowski, G. Wasilkowski, E. Novak
- Mathematics
- 2001
We study bounds on the classical ∗-discrepancy and on its inverse. Let n∞(d, e) be the inverse of the ∗-discrepancy, i.e., the minimal number of points in dimension d with the ∗-discrepancy at most… Expand
Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start
- J. Kuczynski, H. Wozniakowski
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 October 1992
TLDR
Tractability of Multivariate Problems Volume II: Standard Information for Functionals
- E. Novak, H. Wozniakowski
- Mathematics
- 3 July 2010
A general theory of optimal algorithms
- J. Traub, H. Wozniakowski
- Computer Science
- ACM monograph series
- 1980
TLDR
- 531
- 18
Information-based complexity
- J. Traub, G. Wasilkowski, H. Wozniakowski
- Computer Science, Medicine
- Nature
- 1 July 1987
TLDR
Convergence and Complexity of Newton Iteration for Operator Equations
- J. Traub, H. Wozniakowski
- Mathematics, Computer Science
- JACM
- 1 April 1979
TLDR
Average case complexity of multivariate integration
- H. Wozniakowski
- Mathematics
- 1991
We study the average case complexity of multivariate integration for the class of continuous functions of d variables equipped with the classical Wiener sheet measure. To derive the average case… Expand
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