Gnecco, Giorgio and Sanguineti, Marcello Error Bounds for Suboptimal Solutions to Kernel Principal Component Analysis. Optimization Letters, 4 (2). pp. 197-210. ISSN 1862-4472 (2010)
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Abstract
Suboptimal solutions to kernel principal component analysis are considered. Such solutions take on the form of linear combinations of all n-tuples of kernel functions centered on the data, where n is a positive integer smaller than the cardinality m of the data sample. Their accuracy in approximating the optimal solution, obtained in general for n = m, is estimated. The analysis made in Gnecco and Sanguineti (Comput Optim Appl 42:265–287, 2009) is extended. The estimates derived therein for the approximation of the first principal axis are improved and extensions to the successive principal axes are derived.
| Item Type: | Article |
|---|---|
| Identification Number: | https://doi.org/10.1007/s11590-009-0158-1 |
| Uncontrolled Keywords: | Principal component analysis (PCA); Kernel methods; Suboptimal solutions |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Research Area: | Computer Science and Applications |
| Depositing User: | Giorgio Gnecco |
| Date Deposited: | 17 Sep 2013 13:09 |
| Last Modified: | 17 Sep 2013 13:09 |
| URI: | http://eprints.imtlucca.it/id/eprint/1761 |
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Error bounds for suboptimal solutions to kernel principal component analysis. (deposited 13 Sep 2013 09:40)
- Error Bounds for Suboptimal Solutions to Kernel Principal Component Analysis. (deposited 17 Sep 2013 13:09) [Currently Displayed]
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