Abstract
The paper generalizes PinSVM to multiclass version by using binary tree structure. At each internal node, all inherited classes are first divided into two groups via farthest centroid selection. Then, PinSVM is constructed between two groups. When each group contains only one class, the leaf node can be identified. The experimental results show that binary-tree multiclass PinSVM is very competitive with one-versus-one PinSVM and one-versus-one SVM. Especially in terms of computational time, it has clear superiority than them.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Vapnik, V.: The Nature of Statistical Learning Theory, pp. 123–179. Springer, New York (1995)
Bi, J., Zhang, T.: Support vector classification with input data uncertainty. In: International Conference on Neural Information Processing Systems, pp. 161–168. MIT Press, Cambridge, MA (2004)
Huang, X., Shi, L., Suykens, J.A.: Support vector machine classifier with pinball Loss. IEEE Trans. Pattern Anal. Mach. Intell. 36(5), 984–997 (2014)
Hsu, C.W., Lin, C.J.: A comparison of methods for multiclass support vector machines. IEEE Trans. Neural Networks 13(2), 415–425 (2002)
Lorena, A.C., de Carvalho, A.C.: A review on the combination of binary classifiers in multiclass problems. Artif. Intell. Rev. 30(1), 19–37 (2008)
Kijsirikul, B., Ussivakul, N.: Multiclass support vector machines using adaptive directed acyclic graph. In: Proceedings of the 2002 International Joint Conference on Neural Networks, vol. 1, pp. 980–985. IEEE, New York (2002)
Fei, B., Liu, J.: Binary tree of SVM: a new fast multiclass training and classification algorithm. IEEE Trans. Neural Networks 17(3), 696–704 (2006)
Kostin, A.: A simple and fast multi-class piecewise linear pattern classifier. Pattern Recogn. 39(11), 1949–1962 (2006)
Frank, A.: A. Asuncion. UCI machine learning repository, 2010. URL http://archive.ics.uci.edu/ml
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under grant 61602056, the Doctoral Scientific Research Foundation of Liaoning Province under grant 201601348, and the Scientific Research Project of Liaoning Provincial Committee of Education under grant LZ2016005.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Leng, Q., Liu, F., Qin, Y. (2018). Binary Tree Construction of Multiclass Pinball SVM Via Farthest Centroid Selection. In: Xhafa, F., Patnaik, S., Zomaya, A. (eds) Advances in Intelligent Systems and Interactive Applications. IISA 2017. Advances in Intelligent Systems and Computing, vol 686. Springer, Cham. https://doi.org/10.1007/978-3-319-69096-4_45
Download citation
DOI: https://doi.org/10.1007/978-3-319-69096-4_45
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69095-7
Online ISBN: 978-3-319-69096-4
eBook Packages: EngineeringEngineering (R0)