On the approximation of vector-valued functions by volume sampling (Q6649703)
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scientific article; zbMATH DE number 7955049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the approximation of vector-valued functions by volume sampling |
scientific article; zbMATH DE number 7955049 |
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On the approximation of vector-valued functions by volume sampling (English)
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6 December 2024
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The authors investigate the approximation of vector-valued functions in a Hilbert space by volume sampling techniques with a restriction to be spanned by point samples of \(f\). Further this paper shows this restriction has a mild impact on the attainable error. The obtained results extends the work by \textit{P. Binev} et al. [SIAM J. Math. Anal. 43, No. 3, 1457--1472 (2011; Zbl 1229.65193)] on approximation in supremum norm and by \textit{A. Deshpande} et al. [Theory Comput. 2, Paper No. 12, 225--247 (2006; Zbl 1213.68702)] on column subset selection for matrices.
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Lebesgue-Bochner spaces
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low-rank approximation
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volume sampling
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average widths
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