On the speed of uniform convergence in Mercer's theorem

DOI10.1016/J.JMAA.2022.126718OpenAlexW4297371869WikidataQ115188817 ScholiaQ115188817MaRDI QIDQ2091033

Rustem Takhanov

Publication date: 31 October 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.00487

zbMATH Keywords

uniform convergenceMercer kernelRKHSGagliardo-Nirenberg inequalityMercer's theorem

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Theory of computing (68Qxx) Eigenvalue problems for integral equations (45Cxx)

Cites Work

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• Mercer's theorem on general domains: on the interaction between measures, kernels, and RKHSs
• Regularization in kernel learning
• Derivative reproducing properties for kernel methods in learning theory
• Eigenvalue distribution of compact operators
• The covering number in learning theory
• Modeling interactive components by coordinate kernel polynomial models
• On the mathematical foundations of learning
• Eigenvalues of Analytic Kernels
• Learning Theory
• Support Vector Machines
• Deep distributed convolutional neural networks: Universality
• Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces

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