Abstract
In this paper we analyze the relationships between the eigenvaluesof the m x m Gram matrix K for a kernel k(·, .) corresponding to asample Xl, ... ,Xm drawn from a density p(x) and the eigenvaluesof the corresponding continuous eigenproblem. We bound the differencesbetween the two spectra and provide a performance boundon kernel PCA.
Original language | English |
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Title of host publication | Advances in Neural Information Processing Systems 15 (NIPS 2002) |
Editors | S. Becker, S. Thrun, K. Obermayer |
Publisher | MIT Press |
Pages | 383-390 |
Number of pages | 8 |
Publication status | Published - 2003 |