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On the spectral distribution of kernel matrices related to radial basis functions

Abstract:

This paper focuses on the spectral distribution of kernel matrices related to radial basis functions. By relating a contemporary finite-dimensional linear algebra problem to a classical problem on infinite-dimensional linear integral operator, the paper shows how the spectral distribution of a kernel matrix relates to the smoothness of the underlying kernel function. The asymptotic behaviour of the eigenvalues of a infinite-dimensional kernel operator are studied from a perspective of low ran...

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Authors


A. J. Wathen More by this author
Shengxin Zhu More by this author
Publication date:
2013-05-05
URN:
uuid:2aac74e7-ea73-4fca-b3cc-a8eea861dcce
Local pid:
oai:eprints.maths.ox.ac.uk:1701

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