The Theory and Applications of Hölder Widths

We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths, showing that some Hölder widths are essentially smaller th...

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Bibliographic Details
Main Authors: Man Lu, Peixin Ye
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/14/1/25
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