On the Eigenspectrum of the Gram matrix and the generalisation error of kernel PCA

In this paper we analyze the relationships between the eigenvalues of the m x m Gram matrix K for a kernel k(.,.) corresponding to a sample x1,...,xm drawn from a density p(x) and the eigenvalues of the corresponding continuous eigenproblem. We bound the differences between the two spectra and provi...

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Bibliographic Details
Main Authors: Shawe-Taylor, John (Author), Williams, Chris (Author), Cristianini, Nello (Author), Kandola, Jaz (Author)
Format: Article
Language:English
Published: 2004.
Subjects:
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