Quasi-polynomial tractability
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Publication:544123
DOI10.1016/j.jco.2010.07.001zbMath1237.65043OpenAlexW2005840206MaRDI QIDQ544123
Henryk Woźniakowski, Michael Gnewuch
Publication date: 14 June 2011
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2010.07.001
multivariate approximationlinear informationstandard informationlinear tensor product problemsrandomized settingworst-case setting
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Cites Work
- Unnamed Item
- Unnamed Item
- On the tractability of linear tensor product problems in the worst case
- Generalized tractability for multivariate problems. II: Linear tensor product problems, linear information, and unrestricted tractability
- Generalized tractability for multivariate problems. I: Linear tensor product problems and linear information
- Tractability of multivariate problems. Volume I: Linear information
- Tractability of multivariate problems. Volume II: Standard information for functionals.
- Tractability and strong tractability of linear multivariate problems
- Tractability of multivariate integration for periodic functions
- Quasi-Monte Carlo methods can be efficient for integration over products of spheres
- Finite-order weights imply tractability of linear multivariate problems
- Worst case complexity of multivariate Feynman--Kac path integration
- The power of standard information for multivariate approximation in the randomized setting
- Intractability results for integration and discrepancy