The ε-insensitive loss function generally employed in support vector regression is introduced into support vector classification
and the support vector classification with ε-insensitive loss function(ε-SVC)is proposed. Compared with the standard support vector classification method(C-SVC)and the least square support vector classification method(LS-SVC)
the experimental result indicates that the classification accuracy ratio of ε-SVC is slightly lower than that of C-SVC and LS-SVC when ε sufficiently approaches to 1
but the training
testing and parameter selecting rates of ε-SVC are superior to that of C-SVC and LS-SVC
especially for large scale problem. Through accurate search of the parameter ε
the ε-SVC is endowed with higher classification accuracy than C-SVC and LS-SVC
however
the training
testing and parameter selecting rates decrease with smaller ε.
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references
Vapnik V N. 统计学习理论[M]. 许建华, 张学工,译. 北京: 电子工业出版社, 2004.
Yang J Y, Zhang Y Y. Application research of support vector machines in condition trend prediction of mechanical equipment [M]∥Lecture Notes in Computer Science: 3498. Berlin: Springer, 2005: 857-864.
Vapnik V N. The nature of statistical learning theory [M]. New York: Springer, 1995.
Suykens J A K, Brabanter J D, Lukas L, et al. Weighted least squares support vector machines: robustness and sparse approximation [J]. Neurocomputing, 2002, 48(1): 85-105.
Michie D, Spiegelhalter D J, Taylor C C. Machine learning, neural and statistical classification [EB/OL]. Englewood Cliffs, USA: Prentice Hall, 1994[2007-02-15]. http:∥www.ncc.up.pt/liacc/ML/statlog/datasets.html.
Blake C L, Merz C J. UCI repository of machine learning databases [EB/OL]. Irvine, USA: Univ. California, Dept. Inform. Comput. Sci., 1998[2007-02-15]. http:∥www.ics.uci.edu/?mlearn/MLRep-ository.html.
Hsu C W, Chang C C, Lin C J. A practical guide to support vector classification [EB/OL]. Taiwan: Taiwan Univ., Dept. Comptu. Sci. Inform. Eng. [2007-03-10]. http:∥www.csie.ntu.edu.tw/cjlin/papers/guide/guide.pdf.
Chang C C, Lin C J. LIBSVM: a library for support vector machines [EB/OL]. [2007-03-10]. http:∥www.csie.ntu.edu.tw/cjlin/libsvm.
Suykens J A K, Gestel T V, Brabanter J D, et al. Least squares support vector machines [EB/OL]. Singapore: World Scientific, 2002[2007-03-10]. http:∥www.esat.kuleuven.ac.be/sista/lssvmlab/.
Hsu C W, Lin C J. A comparison of methods for multiclass support vector machines [J]. IEEE Transactions on Neural Networks, 2002, 13(2): 415-425.