Abstract
Based on the recently proposed twin support vector machine and twin bounded support vector machine, in this paper, we propose a novel twin support vector machine (NTSVM) for binary classification problems. The significance of our proposed NTSVM is that the objective function is changed in the spirit of regression, such that hyperplanes separate as much as possible. In addition, the successive overrelaxation technique is used to solve quadratic programming problems to speed up the training process. Experimental results obtained on several artificial and UCI benchmark datasets show the feasibility and effectiveness of the proposed method.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Turk M, Pentland A (1991) Eigenfaces for recognition. J Cognit Neurosci 3(1):71–86
Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711–720
Yang J, Zhang D, Frangi AF, Yang JY (2004) Two-dimensional PCA: a new approach to face representation and recognition. IEEE Trans Pattern Anal Mach Intell 26(1):131–137
Tao DC, Li XL, Hu WM et al (2005) Supervised tensor learning. In: Fifth IEEE international conference on data mining
Tao DC, Li XL, Wu XD, Maybank SJ (2007) General tensor discriminant analysis and gabor features for gait recognition. IEEE Trans Pattern Anal Mach Intell 29(10):1700–1715
Hong CQ, Yu J, Li J, Chen XH (2013) Multi-view hypergraph learning by patch alignment framework. Neurocomputing 118:79–86
Yu J, Rui Y, Tang YY, Tao DC (2014) High-order distance-based multiview stochastic learning in image classification. IEEE Trans Cybern 44(12):2431–2442
Wang Z, Chen SC, Sun TK (2008) MultiK-MHKS: a novel multiple kernel learning algorithm. IEEE Trans Pattern Anal Mach Intell 30(2):348–353
Pong KH, Lam KM (2014) Multi-resolution feature fusion for face recognition. Pattern Recognit 47(2):556–567
Cortes C, Vapnik VN (1995) Support vector machine. Mach Learn 20(3):273–297
Vapnik VN (2000) The nature of statistical learning theory. Springer, New York
Byun H, Lee SW (2002) Applications of support vector machines for pattern recognition: a survey, pattern recognition with support vector machines. Springer, Berlin
Burges C (1998) A tutorial support vector machines for pattern recognition. Data Mining Knowl Discov 2:1–43
Noble WS (2004) Kernel methods in computational biology. In: Vert J-P (ed) Support vector machine applications in computational biology. MIT Press, Cambridge, pp 71–92
Isa D, Lee LH, Kallimani VP, Rajkumar R (2008) Text document preprocessing with the Bayes formula for classification using the support vector machine. IEEE Trans Knowl Data Eng 20(9):1264–1272
Yen SJ, Wu YC, Yang JC, Lee YS, Liu LL (2013) A support vector machine-based context-ranking model for question answering. Inf Sci 224(1):77–87
Trafails TB, Ince H (2000) Support vector machine for regression and applications to financial forecasting. In: International joint conference on neural networks, pp 6348–6348
Tao DC, Tang XO, Li XL, Wu XD (2006) Asymmetric bagging and random subspace for support vector machines-based relevance feedback in image retrieval. IEEE Trans Pattern Anal Mach Intell 28(7):1088–1099
Liu WF, Tao DC (2013) Multiview Hessian regularization for image annotation. IEEE Trans Image Process 22(7):2676–2687
Tao DC, Li XL, Wu XD, Maybank SJ (2009) Geometric mean for subspace selection. IEEE Trans Pattern Anal Mach Intell 31(2):260–274
Mangasarian OL, Wild EW (2006) Multisurface proximal support vector machine classification via generalized eigenvalues. IEEE Trans Pattern Anal Mach Intell 28(1):69–74
Jayadeva R, Khemchandani S Chandra (2007) Twin support vector machines for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905–910
Kumar MA, Gopal M (2008) Application of smoothing technique in twin support vector machines. Pattern Recognit Lett 29(13):1842–1848
Shao YH, Zhang CH, Wang XB, Deng NY (2011) Improvements on twin support vector machines. IEEE Trans Neural Netw 22(6):962–968
Peng XJ (2011) TPMSVM: a novel twin parametric-margin support vector machine for pattern recognition. Pattern Recognit 44(10):2678–2692
Qi ZQ, Tian YJ, Shi Y (2013) Robust twin support vector machine for pattern classification. Pattern Recognit 46(1):305–316
Qi ZQ, Tian YJ, Shi Y (2013) Structural twin support vector machine for classification. Knowl-Based Syst 43:74–81
Wang Z, Shao YH, Wu TR (2014) Proximal parametric-margin support vector classifier and its applications. Neural Comput Appl 24:755–764
Shao YH, Chen WJ, Deng NY (2014) Nonparallel hyperplane support vector machine for binary classification problems. Inf Sci 263:22–35
Ye QL, Zhao CX, Ye N, Chen YN (2010) Multi-weight vector projection support vector machines. Pattern Recognit Lett 31:2006–2011
Chen XB, Yang J, Ye QL, Liang J (2011) Recursive projection twin support vector machine via within-class variance minimization. Pattern Recognit 44(10):2643–2655
Shao YH, Deng NY, Yang ZM (2012) Least squares recursive projection twin support vector machine for classification. Pattern Recognit 45(6):2299–2307
Shao YH, Wang Z, Chen WJ, Deng NY (2013) A regularization for the projection twin support vector machine. Knowl-Based Syst 37:203–210
Ding SF, Hua XP (2014) Recursive least squares projection twin support vector machines for nonlinear classification. Neurocomputing 130:3–9
Peng XJ (2010) Least squares twin support vector hypersphere (LS-TSVH) for pattern recognition. Expert Syst Appl 37(12):8371–8378
Peng XJ, Xu D (2014) Twin support vector hypersphere (TSVH) classifier for pattern recognition. Neural Comput Appl 24:1207–1220
Fung G, Mangasarian OL (2001) Proximal support vector machine classifiers. In: Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining, ACM, pp 77–86
Mangasarian OL, Musicant DR (1999) Successive overrelaxation for support vector machines. IEEE Trans Neural Netw 10(5):1032–1037
Lee YJ, Huang SY (2007) Reduced support vector machines: a statistical theory. IEEE Trans Neural Netw 13(1):1–13
Duda RO, Hart PE, Stork DG (2001) Pattern classification, 2nd edn. Wiley, New York
Ripley BD (2008) Pattern recognition and neural networks. Cambridge University Press, Cambridge
Muphy PM, Aha DW (1992) UCI repository of machine learning databases
Musicant DR (1998) NDC: normally distributed clustered datasets. http://www.cs.wisc.edu/dmi/svm/ndc/. Accessed 5 Nov 2015
Xie XJ, Sun SL (2014) Multi-view Laplacian twin support vector machines. Appl Intell 41(4):1059–1068
Acknowledgments
This work is supported in part by the National Natural Science Foundation of China under grant No. 61373055 and No. 61103128. The authors would like to thank Dr. Yuan-Hai Shao from Zhejiang University of Technology for his valuable discussion and help.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Chen, S., Wu, X. & Zhang, R. A Novel Twin Support Vector Machine for Binary Classification Problems. Neural Process Lett 44, 795–811 (2016). https://doi.org/10.1007/s11063-016-9495-0
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11063-016-9495-0