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Total Margin Based Balanced Relative Margin Machine

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Abstract

Inspired by the total margin algorithm, we extend balanced relative margin machine (BRMM) by introducing surplus variables, and propose a total margin based balanced relative (TM-BRMM). TMBRMM not only solves the loss of information points involved, but also addresses outliers at the outer boundaries that limit the maximum distance from points to separating hyperplane. Furthermore, by means of kernel function, it is easy to solve nonlinear separable datasets. The experiments on UCI datasets verify the feasibility and superiority of TM-BRMM.

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References

  1. C. Cortes and V. Vapnik, “Support vector networks,” Mach. Learn. 20 (3), 273–297 (1995).

    MATH  Google Scholar 

  2. T. S. Furey, N. Cristianini, N. Duffy, et al., “Support vector machine classification and validation of cancer tissue samples using microarray expression data,” Bioinformatics 16 (10), 906–914 (2000).

    Article  Google Scholar 

  3. X. F. Ling, J. Yang, and Y. E. Chen-Zhou, “Support vector machine-based human face recognition method,” Infrared Laser Eng. 5 (318–322), 327 (2001).

    Google Scholar 

  4. E. Osuna, R. Freund, and F. Girosi, “Training support vector machines: an application to face detection,” in Proc. CVPR (Hilton Head Island, SC, 2000), pp. 130–136.

    Google Scholar 

  5. H. C. Liu, M. A. Shu-Yuan, W. U. Ping-Dong, et al., “Handwritten digits recognition for automatic analysis system of UK psychology test,” J. Beijing Inst. Technol. 22 (5), 599–603 (1999).

    Google Scholar 

  6. L. M. Zeng and W. U. Xiang-Bin, “Research on SVM and its application of remote sense image classification for regions of interest,” Comput. Eng. Appl. 45 (6), 243–245 (2006).

    Google Scholar 

  7. Q. Chen, G. N. Cao, and L. Chen, “Application of support vector machine to atmospheric pollution prediction,” Comput. Technol. Develop. 32 (12), 61–65 (2010).

    Google Scholar 

  8. Y. Min, Y. Yun, and H. Nakayama, “A role of total margin in support vector machines,” in Proc. Int. Joint Conf. on Neural Networks (Portland, OR, 2003), Vol. 3, pp. 2049–2053.

    Google Scholar 

  9. H. L. Dai, “Class imbalance learning via a fuzzy total margin based support vector machine,” Appl. Soft Comput. C 31, 172–184 (2015).

    Article  Google Scholar 

  10. Y. H. Liu and Y. T. Chen, “Face recognition using total margin-based adaptive fuzzy support vector machines,” IEEE Trans Neural Networks 18 (1), 178–192 (2007).

    Article  Google Scholar 

  11. H. Pei, Y. Chen, Y. Wu, and P. Zhong, “Laplacian total margin support vector machine based on within-class scatter,” Knowledge-Based Syst. 119, 152–165 (2017).

    Article  Google Scholar 

  12. P. K. Shivaswamy and T. Jebara, “Relative margin machines,” in Proc. Conf. on Neural Information Processing Systems (Vancouver, Dec. 2008), pp. 1481–1488.

    Google Scholar 

  13. Z. Y. Long, J. H. Liu, and L. U. Han yu, “Research of fuzzy ?-relative margin machine based on total margin,” Microelectron. Comput. 6, 167–171 (2012).

    Google Scholar 

  14. I. Kotsia and I. Patras, “Relative margin support tensor machines for gait and action recognition,” in Proc. ACM Int. Conf. on Image and Video Retrieval, CIVR (Xi’an, July 2010), pp. 446–453.

    Chapter  Google Scholar 

  15. Y. Song, W. Zhu, Y. Xiao, and P. Zhong, “Robust relative margin support vector machines,” J. Algorithms Comput. Technol. 11 (2), 186–191 (2017).

    Article  MathSciNet  Google Scholar 

  16. V. Eidelman, Y. Marton, and P. Resnik, “Online relative margin maximization for statistical machine translation,” in Proc. Meeting of the Association for Computational Linguistics (Sofia, 2013), pp. 1116–1126.

    Google Scholar 

  17. A. B. Ashraf, S. Lucey, and T. Chen, “Reinterpreting the application of Gabor filters as a manipulation of the margin in linear support vector machines,” IEEE Trans. Software Eng. 32 (7), 1335–1341 (2010).

    Google Scholar 

  18. M. M. Krell, D. Feess, and S. Straube, “Balanced relative margin machine–the missing piece between FDA and SVM classification,” Pattern Recogn. Lett. 41 (1), 43–52 (2014).

    Article  Google Scholar 

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Correspondence to Ping Zhong.

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The article is published in the original.

Yankun Wu was born in China, in 1998. She is majoring in Mathematics and Applied Mathematics in China Agricultural University, Beijing, China.

Huimin Pei was born in 1987 in China. She has received the B.S. degree from Linyi University in 2011, and the M.S. degree from Beijing University of Technology in 2014. Now she is a PhD. student in College of Science, China Agricultural University. Her research interests include machine learning and support vector machines.

Ping Zhong is a professor and PhD supervisor in College of Science, China Agricultural University. She has published many papers. Her research interests include machine learning and support vector machines.

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Wu, Y., Pei, H. & Zhong, P. Total Margin Based Balanced Relative Margin Machine. Pattern Recognit. Image Anal. 28, 163–167 (2018). https://doi.org/10.1134/S1054661818010194

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  • DOI: https://doi.org/10.1134/S1054661818010194

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