Open problems for tractability of multivariate integration. (Q1402005)
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scientific article; zbMATH DE number 1967220
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Open problems for tractability of multivariate integration. |
scientific article; zbMATH DE number 1967220 |
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Open problems for tractability of multivariate integration. (English)
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19 August 2003
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The author presents some open problems regarding the tractability of multivariate integration for various spaces of functions in the worst case and randomized settings. He discusses a space of infinitely differentiable functions for which the tractability of multivariate integration is open. He also discusses a weighted tensor product Sobolev space for which necessary and sufficient conditions for tractability of multivariate integration are known, but the exact value of the exponent of strong tractability is unknown. In addition, he presents an open problem for the tractability of multivariate integration in the randomized setting.
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multivariate integration
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tractability
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Monte Carlo algorithm
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worst case
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randomized setting
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0.8996172
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0.89435977
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0.8812764
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0.8767217
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0.8696244
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0.8691771
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0.8671825
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0.86362827
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