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Matches in SemOpenAlex for { <https://semopenalex.org/work/W4321492009> ?p ?o ?g. }

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• W4321492009 abstract "We study the variation space corresponding to a dictionary of functions in $$L^2(Omega )$$ for a bounded domain $$Omega subset {mathbb {R}}^d$$ . Specifically, we compare the variation space, which is defined in terms of a convex hull with related notions based on integral representations. This allows us to show that three important notions relating to the approximation theory of shallow neural networks, the Barron space, the spectral Barron space, and the Radon BV space, are actually variation spaces with respect to certain natural dictionaries." @default.
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• W4321492009 date "2023-02-22" @default.
• W4321492009 modified "2023-09-30" @default.
• W4321492009 title "Characterization of the Variation Spaces Corresponding to Shallow Neural Networks" @default.
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• W4321492009 doi "https://doi.org/10.1007/s00365-023-09626-4" @default.
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