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Semi-supervised Weighted Ternary Decision Structure for Multi-category Classification

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Abstract

Semi-supervised learning has attracted researchers due to its advantages over supervised learning. In this paper, an extremely fast multi-category classification algorithm, termed as weighted ternary decision structure (WTDS) is proposed. WTDS is a generic algorithm that can extend any binary classifier into multi-category framework. This work also proposes a novel semi-supervised binary classifier termed as Weighted Laplacian least-squares twin support vector machine which is further extended using WTDS. The novel semi-supervised classifier obtains the solution by formulating a pair of Unconstrained Minimization Problems which are solved as systems of linear equation. WTDS takes advantage of the strengths of the classifier and efficiently constructs the multi-category classifier model in the form of a decision structure. WTDS outperforms other state-of-the-art multi-category approaches in terms of classification accuracy and time complexity. To confirm the feasibility and efficacy of proposed algorithm, experiments are conducted on benchmark UCI datasets.

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Notes

  1. The bold figures indicate best value for the given dataset.

References

  1. Belkin M, Niyogi P, Sindhwani V (2006) Manifold regularization: a geometric framework for learning from labeled and unlabeled examples. J Mach Learn Res 7:2399–2434

    MathSciNet  MATH  Google Scholar 

  2. Blake C, Merz CJ (1998) Uci repository of machine learning databases. UCI Repository http://www.ics.uci.edu/~mlearn/MLRepository.html

  3. Chapelle O, Schölkopf B, Zien A (2006) Semi-supervised learning. MIT Press, Cambridge

    Book  Google Scholar 

  4. Chen WJ, Shao YH, Deng NY, Feng ZL (2014) Laplacian least squares twin support vector machine for semi-supervised classification. Neurocomputing 145:465–476

    Article  Google Scholar 

  5. Cormen TH (2009) Introduction to algorithms. MIT Press, Cambridge

    MATH  Google Scholar 

  6. Culp M, Michailidis G (2008) Graph-based semisupervised learning. IEEE Trans Pattern Anal Mach Intell 30(1):174–179

    Article  Google Scholar 

  7. Duda RO, Hart PE, Stork DG (2012) Pattern classification. Wiley, New York

    MATH  Google Scholar 

  8. Fookes C, Denman S, Lakemond R, Ryan D, Sridharan S, Piccardi M (2010) Semi-supervised intelligent surveillance system for secure environments. In: IEEE international symposium on industrial electronics (ISIE), 2010, pp 2815–2820

  9. Geng C, Yuquan Z, Jianing T, Tianhan H (2009) An algorithm of semi-supervised web-page classification based on fuzzy clustering. In: International forum on information technology and applications, 2009. IFITA’09. IEEE, vol 1, pp 3–7

  10. Hsu CW, Lin CJ (2002) A comparison of methods for multiclass support vector machines. IEEE Trans Neural Netw 13(2):415–425

    Article  Google Scholar 

  11. Hsu CW, Chang CC, Lin CJ, et al. (2003) A practical guide to support vector classification

  12. Jain AK (2010) Data clustering: 50 years beyond k-means. Pattern Recogn Lett 31(8):651–666

    Article  Google Scholar 

  13. Jayadeva Khemchandani R, Chandra S (2007) Twin support vector machines for pattern classification. IEEE Trans Pattern Anal Mach Intell 29(5):905–910

    Article  MATH  Google Scholar 

  14. Jin G, Raich R, Miller DJ (2013) A generative semi-supervised model for multi-view learning when some views are label-free. In: 2013 IEEE international conference on acoustics, speech and signal processing, IEEE, pp 3302–3306

  15. Joachims T et al (2003) Transductive learning via spectral graph partitioning. ICML 3:290–297

    Google Scholar 

  16. Khemchandani R, Pal A (2016) Multi-category laplacian least squares twin support vector machine. Appl Intell 45(2):458–474

    Article  Google Scholar 

  17. Khemchandani R, Saigal P (2015) Color image classification and retrieval through ternary decision structure based multi-category twsvm. Neurocomputing 165:444–455

    Article  Google Scholar 

  18. Khemchandani R, Saigal P, Chandra S (2016) Improvements on \(\nu \)-twin support vector machine. Neural Netw 79:97–107

    Google Scholar 

  19. Khemchandani R, Saigal P, Chandra S (2018) Angle-based twin support vector machine. Ann Oper Res 269(1–2):387–417

    Article  MathSciNet  MATH  Google Scholar 

  20. Kumar MA, Gopal M (2009) Least squares twin support vector machines for pattern classification. Expert Syst Appl 36(4):7535–7543

    Article  Google Scholar 

  21. Li J, Bioucas-Dias JM, Plaza A (2012) Semisupervised hyperspectral image classification using soft sparse multinomial logistic regression. IEEE Geosci Remote Sens Lett 10(2):318–322

    Google Scholar 

  22. Lu S, Wang H, Zhou Z (2019) All-in-one multicategory ramp loss maximum margin of twin spheres support vector machine. Appl Intell, pp 1–14

  23. Nasiri JA, Charkari NM, Jalili S (2015) Least squares twin multi-class classification support vector machine. Pattern Recogn 48(3):984–992

    Article  MATH  Google Scholar 

  24. Qi Z, Tian Y, Shi Y (2012) Laplacian twin support vector machine for semi-supervised classification. Neural Netw 35:46–53

    Article  MATH  Google Scholar 

  25. Rastogi R, Saigal P, Chandra S (2018a) Angle-based twin parametric-margin support vector machine for pattern classification. Knowl-Based Syst 139:64–77

    Article  Google Scholar 

  26. Rastogi R, Sweta S, Chandra S (2018b) Robust parametric twin support vector machine for pattern classification. Neural Process Lett 47(1):293–323

    Article  Google Scholar 

  27. Saigal P, Khemchandani R (2015) Nonparallel hyperplane classifiers for multi-category classification. In: IEEE workshop on computational intelligence: theories, applications and future directions (WCI), 2015, IEEE, pp 1–6

  28. Saigal P, Khanna V, Rastogi R (2017) Divide and conquer approach for semi-supervised multi-category classification through localized kernel spectral clustering. Neurocomputing 238:296–306

    Article  Google Scholar 

  29. Saigal P, Chandra S, Rastogi R (2019) Multi-category ternion support vector machine. Eng Appl Artif Intell 85:229–242

    Article  Google Scholar 

  30. Soares RG, Chen H, Yao X (2012) Semisupervised classification with cluster regularization. IEEE Trans Neural Netw Learn Syst 23(11):1779–1792

    Article  Google Scholar 

  31. Sun Z, Wang C, Li D, Li J (2014) Semisupervised classification for hyperspectral imagery with transductive multiple-kernel learning. IEEE Geosci Remote Sens Lett 11(11):1991–1995

    Article  Google Scholar 

  32. Tur G, Hakkani-Tür D, Schapire RE (2005) Combining active and semi-supervised learning for spoken language understanding. Speech Commun 45(2):171–186

    Article  Google Scholar 

  33. Vapnik V (2013) The nature of statistical learning theory. Springer, Berlin

    MATH  Google Scholar 

  34. Ye M, Stankovic V, Stankovic L, Cheung G (2019) Deep graph regularized learning for binary classification. In: ICASSP 2019-IEEE international conference on acoustics, speech and signal processing (ICASSP), IEEE, pp 3537–3541

  35. Zhang X, Song Q, Liu R, Wang W, Jiao L (2014) Modified co-training with spectral and spatial views for semisupervised hyperspectral image classification. IEEE J Sel Top Appl Earth Observ Remote Sensing 7(6):2044–2055

    Article  Google Scholar 

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Correspondence to Pooja Saigal.

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Saigal, P., Rastogi, R. & Chandra, S. Semi-supervised Weighted Ternary Decision Structure for Multi-category Classification. Neural Process Lett 52, 1555–1582 (2020). https://doi.org/10.1007/s11063-020-10323-7

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