Skip to main content
Log in

Support vector set selection using pulse-coupled neural networks

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

A candidate set of support vectors is selected by using pulse-coupled neural networks to reduce computational cost in learning phase for support vector machines (SVMs). The size of the candidate set of support vectors selected this way is smaller than that of the original training samples so that the computation complexity in learning process for support vectors machines based on this candidate set is reduced and the learning process is accelerated. On the other hand, the candidate set of support vectors includes almost all support vectors, and the performance of the SVM based on this candidate set matches the performance when the full training samples are used.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Boser B, Guyon I, Vapnik V (1992) A training algorithm for optimal margin classifers. In: Proceedings of the fifth annual workshop on computational learning theory. ACM Press, Pittsburgh, PA

  2. Burges C (1996) Simplified support vector decision rules. In: Sartta L (ed) 13th international conference on machine learning. Morgan Kaufmann, San Mateo, CA

  3. Caufield HJ, Kinser JM (1999) Finding shortest path in the shorest time using PCNN’s. IEEE Trans Neural Netw 10(3):604–606

    Article  Google Scholar 

  4. Chang CC, Lin CJ (2001) LIBSVM: a library for support vector machines. http://www.csie.ntu.edu.tw/~cjlin/libsvm

  5. Eckhorn R, Reitboeck HJ, Arndt M, Dicke PW (1990) Feature linking via synchronization among distributed assemblies: simulation of results from cat cortex. Neural Comput 2(3):293–307

    Article  Google Scholar 

  6. Gu X, Yu D, Zhang L (2004) Image thinning using pulse coupled neural network. Pattern Recognit Lett 25(9):1075–1084

    Article  Google Scholar 

  7. Gu X, Yu D, Zhang L (2005) Image shadow removal using pulse coupled neural network. IEEE Trans Neural Netw 16(3):692–698

    Article  Google Scholar 

  8. Johnson JL, Padgett ML (1999) PCNN model and applications. IEEE Trans Neural Netw 10(3):480–498

    Article  Google Scholar 

  9. Kuntimad G, Ranganath HS (1999) Perfect image segmentation using pulse coupled neural networks. IEEE Trans Neural Netw 10(3):591–598

    Article  Google Scholar 

  10. Lee YJ, Mangasarian OL (2001) RSVM: reduced support vector machines. In: Proceeding of the 1th SIAM international conference, Data Mining

  11. Lee YJ, Mangasarian OL (2003) A study on reduced support vector machines. IEEE Trans Neural Netw 14(6):1449–1459

    Article  Google Scholar 

  12. Lv JC, Yi Z, Tan KK (2007) Determining of the number of principal directions in a biologically plausible PCA model. IEEE Trans Neural Netw 18(3):910–916

    Article  Google Scholar 

  13. Osuna E, Girosi F (1998) Reducing the run-time complexity of support vector machines. In: International conference on pattern recognition. IEEE, Brisbane

  14. Platt JC (1998) Sequential minimal optimization: a fast algorithm for training support vector machines. Technical Report MSR-TR-98-14, Microsoft Research

  15. Peng DZ, Yi Z, Lv JC (2008) A stable MCA learning algorithm. Comput Math Appl 56(4):847–860

    Article  MATH  MathSciNet  Google Scholar 

  16. Qu H, Yang SX, Willms AR, Yi Z (2009) Real-time robot path planning based on a modified pulse-coupled neural network model. IEEE Trans Neural Netw 20(11):1724–1739

    Article  Google Scholar 

  17. Shang LF, Lv JC, Yi Z (2006) Rigid medical image registration using PCA neural networks. Neurocomputing 69(16–18):1717–1722

    Article  Google Scholar 

  18. Thies T, Weber F (2004) Optimal reduced-set vectors for support vector machines with a quadratic kernel. Neural Comput 16:1769–1777

    Article  MATH  Google Scholar 

  19. Tipping M (2001) Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res 1:211–244

    MATH  MathSciNet  Google Scholar 

  20. Vapnik VN (1995) The nature of statistical learning theory. 2nd edn. Springer, New York

    Book  MATH  Google Scholar 

  21. Vapnik VN (1998) Statistical learning theory. Wiley, New York

    MATH  Google Scholar 

  22. Yang S, Ye M (2012) Multistability of α-divergence based NMF algorithms. Comput Math Appl 64(2):73–88

    Article  MATH  MathSciNet  Google Scholar 

Download references

Acknowledgments

This work was supported by Specialized Research Fund for the Doctoral Program of Higher Education under Grant 2010081110053 and National Program on Key Basic Research Project (973 Program) under Grant 2011CB302201, partially supported by National Science Foundation of China under Grant 61375065.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jian Cheng Lv.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Y., Yi, Z. & Lv, J.C. Support vector set selection using pulse-coupled neural networks. Neural Comput & Applic 25, 401–410 (2014). https://doi.org/10.1007/s00521-013-1506-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-013-1506-8

Keywords

Navigation