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Training v-Support Vector Classifiers: Theory and Algorithms
Abstract
The ν-support vector machine (ν-SVM) for classification proposed by Schölkopf, Smola, Williamson, and Bartlett (2000) has the advantage of using a parameter ν on controlling the number of support vectors. In this article, we investigate the relation between ν-SVM and C-SVM in detail. We show that in general they are two different problems with the same optimal solution set. Hence, we may expect that many numerical aspects of solving them are similar. However, compared to regular C-SVM, the formulation of ν-SVM is more complicated, so up to now there have been no effective methods for solving large-scale ν-SVM. We propose a decomposition method for ν-SVM that is competitive with existing methods for C-SVM. We also discuss the behavior of ν-SVM by some numerical experiments.
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Cites
The Nature of Statistical Learning Theory
Vapnik, V. N. (1995) · doi:10.1007/978-1-4757-2440-0 · Cited by 39,138
Cited by
LIBSVM: A library for support vector machines
Chang, C.-C., & Lin, C.-J. (2011) · ACM Transactions on Intelligent Systems and Technology · doi:10.1145/1961189.1961199 · Cited by 40,918
Self-citation(1999) · doi:10.1162/089976600300015565 · Cited by 2,799
A comprehensive survey on support vector machine classification: Applications, challenges and trends
Cervantes, J., Garcia-Lamont, F., Rodríguez-Mazahua, L., & Lopez, A. (2020) · Neurocomputing · doi:10.1016/j.neucom.2019.10.118 · Cited by 2,381
Li, Y., Xia, J., Zhang, S., Yan, J., Ai, X., & Dai, K. (2012) · Expert Systems with Applications · doi:10.1016/j.eswa.2011.07.032 · Cited by 386
Applications of Support Vector Machines in Chemistry
Ivanciuc, O. (2007) · Reviews in Computational Chemistry · doi:10.1002/9780470116449.ch6 · Cited by 384
Metadata
- Authors
- Chang, C.-C., & Lin, C.-J.
- Venue
- Neural Computation
- Publisher
- MIT Press - Journals
- Published
- 2001-09-01
- Volume
- 13
- Issue
- 9
- Pages
- 2119-2147
- ISSN
- 0899-7667 (ISSN-L)
- 1530-888X
- OpenAlex
- W2036350498
- Cited by
- 499
- References
- 1
- FWCI
- 17.65
- Type
- journal article
- Language
- en
- Open access
- closed
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