Optimal learning of bandlimited functions from localized sampling (Q1023396)
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scientific article; zbMATH DE number 5564310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal learning of bandlimited functions from localized sampling |
scientific article; zbMATH DE number 5564310 |
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Optimal learning of bandlimited functions from localized sampling (English)
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11 June 2009
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The core of this compactly written paper deals with the problem of learning a function in translation-invariant reproducing kernel Hilbert spaces. The main application is in the last section of the paper: an optimal algorithm for approximating bandlimited functions from localized sampling is established. In the univariate case upper and lower bound estimates for the approximation error are given.
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Whittaker-Shannon series
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bandlimited signal
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translation invariant kernel
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optimal learning
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error estimates
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bandwidth problem
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reproducing kernel Hilbert spaces
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algorithm
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localized sampling
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