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A Robust Regularization Path Algorithm for $\nu $ -Support Vector Classification
Abstract
The ν -support vector classification has the advantage of using a regularization parameter ν to control the number of support vectors and margin errors. Recently, a regularization path algorithm for ν -support vector classification ( ν -SvcPath) suffers exceptions and singularities in some special cases. In this brief, we first present a new equivalent dual formulation for ν -SVC and, then, propose a robust ν -SvcPath, based on lower upper decomposition with partial pivoting. Theoretical analysis and experimental results verify that our proposed robust regularization path algorithm can avoid the exceptions completely, handle the singularities in the key matrix, and fit the entire solution path in a finite number of steps. Experimental results also show that our proposed algorithm fits the entire solution path with fewer steps and less running time than original one does.
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Metadata
- Authors
- Gu, B., & Sheng, V. S.
- Venue
- IEEE Transactions on Neural Networks and Learning Systems
- Published
- 2017-05
- Volume
- 28
- Issue
- 5
- Pages
- 1241-1248
- ISSN
- 2162-237X (ISSN-L)
- 2162-2388
- OpenAlex
- W2288560581
- Cited by
- 449
- References
- 1
- FWCI
- 110.65
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Funders
- National Natural Science Foundation of China (61232016, 61202137, 61573191)
- U.S. National Science Foundation (IIS-1115417)
- Priority Academic Program Development, Jiangsu Higher Education Institutions
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- Gu, B., & Sheng, V. S. (2017). A Robust Regularization Path Algorithm for $\nu $ -Support Vector Classification. IEEE Transactions on Neural Networks and Learning Systems. https://doi.org/10.1109/tnnls.2016.2527796
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