Dual margin approach on a Lagrangian support vector machine

International Journal of Computer Mathematics

Volumn 88, Issue 4, 2011, Pages 695-708

  Hwang, Jae Pil ^a   Park, Seongkeun ^a   Kim, Euntai ^a  

^a Yonsei University   (South Korea)

Author keywords

classification 2 norm SVM; dual margin approach; Lagrangian SVM; SVM

Indexed keywords

EID: 79952578737     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207161003739779     Document Type: Article

References (24)

1. P. S. Bradley and O. L. Mangasarian, Massive data discrimination via linear support vector machines, Optim. Methods Softw. 13(2000), pp. 1-10.
2. C. Burges, A tutorial on support vector machines for pattern recognition, Data Mining Knowl. Discovery 2(1998), pp. 1-43.
3. C. Cortes and V. Vapnik, Support-vector networks, Mach. Learn. 20(3) (1995), pp. 273-297.
4. V. Cherkassky and F. Mulier, Learning from Data-Concepts, Theory, and Methods, Wiley, New York, 1998.
5. M. Doumpos, C. Zopounidis, and V. Golfinopoulou, Additive support vector macines for pattern classification, IEEE Trans. System Man, Cybern. Part B 37(3) (2007), pp. 540-550. (Pubitemid 46784590)
6. S. Du and S. Chen, Weighted support vector machine for classification, IEEE Int. Conf. on Sys. Man, Cybern. 4(2005), pp. 3866-3871. (Pubitemid 41667414)
7. R. O. Duda, P. R. Hart, and D. G. Stork, Pattern Classification, 2nd ed., Wiley, New York, 2001.
8. M. Gonen, A. G. Tanugur, and E. Alpaydin, Multiclass posterior probability support vector machines, IEEE trans. Neural Networks 19(1) (2008), pp. 130-139. (Pubitemid 351279231)
9. C. Juang, S. Chiu, and S. Chang, A self-organizing TS-type fuzzy network with support vector learning and its application to classification problems, IEEE Trans. Fuzzy Systems 15(5) (2007), pp. 998-1008. (Pubitemid 47578004)
10. C. Juang, S. Chiu, and S. Shiu, Fuzzy system learned through fuzzy clustering and support vector machine for human skin color segmentation, IEEE Trans. System Man, Cybern. Part A 37(6) (2007), pp. 1077-1087. (Pubitemid 350130845)
11. C. Lin and S. Wang, Fuzzy support vector machines, IEEE Trans. Neural Networks 13(2) (2002), pp. 464-471. (Pubitemid 34475047)
12. O. L. Mangasarian, Nonlinear Programming, SIAM, Philadelphia, PA, 1994.
13. O. L. Mangasarian and D. R. Musicant, Lagrangian support vector machines, J. Mach. Learn. Res. 1(3) (2001), pp. 161-177. (Pubitemid 33687201)
14. P. M. Murphy and D. W. Aha. UCI repository of machine learning databases. Available at http://www.ics.uci.edu/~ mlearn/MLRepository.html.
15. Q. Song, W. Hu, and W. Xie, Robust support vector machine with bullet hole image classification, IEEE Trans. System. Man, Cybern. Part C 32(4) (2002), pp. 440-448.
16. J. A. K. Suykens and J. Vandewalle, Least squares support vector machine classifiers, Neural Process. Lett. 9(3) (1999), pp. 293-300.
17. J. A. K. Suykens and J. Vandewalle, Recurrent least squares support vector machines, IEEE Trans. Circ. Sys. 1: Fundamental Theory Applications 47(7) (2000), pp. 1109-1114.
18. J. Suykens, J. De Brabanter, L. Lukas, and J. Vandewalle, Weighted least squares support vector machines: Robustness and sparse approximation, Neurocomputing 48(1) (2002), pp. 85-105. (Pubitemid 36221490)
19. D. Tsujinishi and S. Abe, Fuzzy least squares support vector machines for multiclass problems, Neural Networks 16 (5-6) (2003), pp. 785-792. (Pubitemid 36794353)
20. C. A. Waring and X. Liu, Face detection using spectral histograms and SVMs, IEEE Trans. System Man, Cybern. Part B 35(3) (2005), pp. 467-476. (Pubitemid 40794858)
21. E. W. Weisstein, Woodbury Formula, Mathworld-A Wol fram Web Resource. Available at http://mathworld.wolfram.com/woodburyFormula.html.
22. st National Conference Artificial Intellgence (AAAI'06), Vol 1, pp. 536-542, 2006. (Pubitemid 44705339)
23. M. Yoon, Y. Yun, and H. Nakayama, A Role of Total Margin in Support Vector Machines, Proceedings of International Conference Neural Network, Vol. 3, pp. 20-24, 2003.
24. L. Zhang, W. Zhou, and L. Jiao, Wavelet support vector machine, IEEE Trans. System Man, Cybern. Part B 32(4) (2002), pp. 34-39.