Abstract
In this paper, we propose a robust parametric twin support vector machine (RPTWSVM) classifier based on Parametric-\(\nu \)-Support Vector Machine (Par-\(\nu \)-SVM) and twin support vector machine. In order to capture heteroscedastic noise present in the training data, RPTWSVM finds a pair of parametric margin hyperplanes that automatically adjusts the parametric insensitive margin to incorporate the structural information of data. The proposed model of RPTWSVM is not only useful in controlling the heteroscedastic noise but also has much faster training speed when compared to Par-\(\nu \)-SVM. Experimental results on several machine learning benchmark datasets show the advantages of RPTWSVM both in terms of generalization ability and training speed over other related models.








Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Asuncion A, Newman DJ (2007) UCI machine learning repository. University of California, Irvine, CA. School of Information and Computer Science, 12. http://www.ics.uci.edu/~mlearn/MLRepository.html
Cao L, Tay FE (2001) Financial forecasting using support vector machines. Neural Comput Appl 10(2):184–192
de Carvalho ACPLF, Freitas AA (2009) A tutorial on multi-label classification techniques. In: Abraham A, Hassanien A-E, Snášel V (eds) Foundations of computational intelligence, vol 5. Springer, Berlin, pp 177–195
Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20(3):273–297
Debnath R, Takahide N, Takahashi H (2004) A decision based one-against-one method for multi-class support vector machine. Pattern Anal Appl 7(2):164–175. doi:10.1007/s10044-004-0213-6
Demšar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mach Learn Res 7:1–30
Ding S, Huang H, Xu X, Wang J (2014) Polynomial smooth twin support vector machines. Appl Math Inf Sci 8(4):2063
Ding S, Yu J, Qi B, Huang H (2014) An overview on twin support vector machines. Artif Intell Rev 42(2):245–252
Duda RO, Hart PE, Stork DG (2000) Pattern classification. Wiley, London
Famoye F, Johnson NL, Kotz S, Balakrishnan N (1995) Continuous univariate distributions, volume 1. Technometrics 37(4):466
Golub GH, Van Loan CF (2012) Matrix computations, vol 3. JHU Press, Baltimore
Hao PY (2010) New support vector algorithms with parametric insensitive/margin model. Neural Netw 23(1):60–73
Holm S (1979) A simple sequentially rejective multiple test procedure. Scand J Stat 6:65–70
Hsu C-W, Chang C-C, Lin C-J et al (2003) A practical guide to support vector classification, pp 1–16. www.csie.ntu.edu.tw/~cjlin/papers/guide/guide.pdf
Jayadeva, Khemchandani R, Chandra S (2007) Twin support vector machines for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905–910
Joachims T (1998) Text categorization with support vector machines: learning with many relevant features. In: Nédellec C, Rouveirol C (eds) Machine learning: ECML-98. ECML 1998. Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence), vol 1398. Springer, Berlin, pp 137–142
Khemchandani R, Saigal P (2015) Color image classification and retrieval through ternary decision structure based multi-category twsvm. Neurocomputing 165:444–455
Khemchandani R, Sharma S (2016) Robust least squares twin support vector machine for human activity recognition. Appl Soft Comput 47:33–46
Kreßel UH-G (1999) Pairwise classification and support vector machines. In: Schölkopf B, Burges C, Smola A (eds) Advances in kernel methods: support vector learning. MIT Press, Cambridge, pp 255–268
Lei H, Govindaraju V (2005) Half-against-half multi-class support vector machines. In: International workshop on multiple classifier systems. Springer, pp 156–164
Manosha Chathuramali K, Rodrigo R (2012) Faster human activity recognition with svm. In: 2012 International Conference on advances in ICT for emerging regions (ICTer). IEEE, pp 197–203
Milgram J, Cheriet M, Sabourin R (2006) One against one or one against all: which one is better for handwriting recognition with svms? In: Tenth international workshop on frontiers in handwriting recognition. Suvisoft
Musicant D (1998) Ndc: normally distributed clustered datasets. Computer Sciences Department, University of Wisconsin, Madison
Peng X (2010) A \(\nu \)-twin support vector machine (\(\nu \)-tsvm) classifier and its geometric algorithms. Inf Sci 180(20):3863–3875
Peng X (2011) TPMSVM: a novel twin parametric-margin support vector machine for pattern recognition. Pattern Recognit 44(10–11):2678–2692
Schlkopf B, Smola AJ, Williamson RC, Bartlett PL (2000) New support vector algorithms. Neural Comput 12(5):1207–1245
Schölkopf B, Tsuda K, Vert JP (2004) Kernel methods in computational biology. MIT press, Cambridge
Shao YH, Chen WJ, Huang WB, Yang ZM, Deng NY (2013) The best separating decision tree twin support vector machine for multi-class classification. Procedia Comput Sci 17:1032–1038
Shao YH, Wang Z, Chen WJ, Deng NY (2013) Least squares twin parametric-margin support vector machine for classification. Appl Intell 39(3):451–464
Simes RJ (1986) An improved bonferroni procedure for multiple tests of significance. Biometrika 73(3):751–754
Tian Y, Ju X, Qi Z, Shi Y (2014) Improved twin support vector machine. Sci China Math 57(2):417–432
Tomar D, Agarwal S (2015) A comparison on multi-class classification methods based on least squares twin support vector machine. Knowl Based Syst 81:131–147
Vapnik VN (1995) The nature of statistical learning theory. Springer, Berlin
Wang Z, Shao YH, Wu TR (2014) Proximal parametric-margin support vector classifier and its applications. Neural Comput Appl 24(3–4):755–764
Xu Y, Yang Z, Pan X (2017) A novel twin support-vector machine with pinball loss. IEEE Trans Neural Netw Learn Syst 28(2), 359–370
Yang Z, Xu Y (2016) Laplacian twin parametric-margin support vector machine for semi-supervised classification. Neurocomputing 171:325–334
Yang ZM, Hua XY, Shao YH, Ye YF (2016) A novel parametric-insensitive nonparallel support vector machine for regression. Neurocomputing 171:649–663
Yang ZX, Shao YH, Zhang XS (2013) Multiple birth support vector machine for multi-class classification. Neural Comput Appl 22(1):153–161
Zhang X, Ding S, Sun T (2016) Multi-class lstmsvm based on optimal directed acyclic graph and shuffled frog leaping algorithm. Int J Mach Learn Cybern 7(2):241–251
Zhang X, Ding S, Xue Y (2017) An improved multiple birth support vector machine for pattern classification. Neurocomputing 225:119–128
Acknowledgements
The authors would like to thank the editor and the anonymous reviewers whose valuable comments and feedback have helped us to improve the content and presentation of the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Rastogi, R., Sharma, S. & Chandra, S. Robust Parametric Twin Support Vector Machine for Pattern Classification. Neural Process Lett 47, 293–323 (2018). https://doi.org/10.1007/s11063-017-9633-3
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11063-017-9633-3