The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Multisurface proximal support vector machine classification via generalized eigenvalues
Abstract
A new approach to support vector machine (SVM) classification is proposed wherein each of two data sets are proximal to one of two distinct planes that are not parallel to each other. Each plane is generated such that it is closest to one of the two data sets and as far as possible from the other data set. Each of the two nonparallel proximal planes is obtained by a single MATLAB command as the eigenvector corresponding to a smallest eigenvalue of a generalized eigenvalue problem. Classification by proximity to two distinct nonlinear surfaces generated by a nonlinear kernel also leads to two simple generalized eigenvalue problems. The effectiveness of the proposed method is demonstrated by tests on simple examples as well as on a number of public data sets. These examples show the advantages of the proposed approach in both computation time and test set correctness.
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Citations
Cites
The Nature of Statistical Learning Theory
Vapnik, V. N. (1995) · doi:10.1007/978-1-4757-2440-0 · Cited by 39,138
RSVM: Reduced Support Vector Machines
Lee, Y.-J., & Mangasarian, O. L. (2001) · Proceedings of the 2001 SIAM International Conference on Data Mining · doi:10.1137/1.9781611972719.13 · Cited by 647
Self-citation
Metadata
- Authors
- Mangasarian, O. L., & Wild, E. W.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 2006-01
- Volume
- 28
- Issue
- 1
- Pages
- 69-74
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2132425109
- Cited by
- 793
- References
- 2
- FWCI
- 19.22
- Type
- journal article
- Language
- en
- Open access
- closed
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- Mangasarian, O. L., & Wild, E. W. (2006). Multisurface proximal support vector machine classification via generalized eigenvalues. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/tpami.2006.17
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