Skip to main content
Log in

Analysis of separating surfaces formed by a random subspace classifier

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

The discriminating capabilities of a random subspace classifier are considered. As a result of analysis of the probability density distribution of threshold values, an estimate is obtained for the minimum distinguishable distance. Real examples of separating surfaces for classical two-imensional problems are given. An algorithm is proposed for local averaging of a synapse matrix to improve the classifier performance in solving problems with overlapping probability distributions. The random subspace classifier is proved to be universal.

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.

Similar content being viewed by others

References

  1. D. V. Zhora, “Analysis of a classifier with random thresholds,” Cybernetics and Systems Analysis, No. 3, 72–91 (2003).

  2. E. M. Kussul, T. N. Baidyk, V. V. Lukovich, and D. A. Rachkovskij, “Adaptive high performance classifier based on random threshold neurons,” in: R. Trappl (ed.), Cybernetics and Systems’94, World Sci. Publ. Co. Pte. Ltd., Singapore (1994), pp. 1687–1695.

    Google Scholar 

  3. E. M. Kussul, D. A. Rachkovskij, and D. C. Wunsch, “The random subspace coarse coding scheme for real-valued vectors,” in: Proc. Int. Joint Conf. Neural Networks, 1, Honolulu (1999), pp. 450–455.

  4. S. Haykin, Neural Networks: A Comprehensive Foundation, Prentice Hall, Upper Saddle River (N.J.) (1999).

    MATH  Google Scholar 

  5. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers [Russian translation], Nauka, Moscow (1970).

    Google Scholar 

  6. C. Aviles-Cruz, A. Guérin-Dugué, J. L. Voz, et al., “Databases, enhanced learning for evolutive neural architecture,” Tech. Rep. R3-B1-P, INPG, UCL, TSA, (1995), www.dice.ucl.ac.be/neural-nets/Research/Projects/ELENA/elena.htm.

  7. F. Blayo, Y. Cheneval, A. Guérin-Dugué, et al., “Benchmarks, enhanced learning for evolutive neural architecture,” Tech. Rep. R3-B4-P, INPG, EERIE, EPFL, UPC, UCL (1995).

  8. G. V. Cybenko, “Approximation by superpositions of a sigmoidal function,” Mathematics of Control, Signals, and Systems, 2, 303–314 (1989).

    Article  MATH  MathSciNet  Google Scholar 

  9. D. V. Zhora, “Evaluating performance of random subspace classifier on ELENA classification database,” in: Proc. Int. Conf. Artificial Neural Networks 2005, LNCS, 3697 (2005), pp. 343–349.

  10. V. V. Lukovich and D. A. Rachkovskii, “Investigation of characteristics of a random threshold neural classifier,” in: Neural-Net Technologies and Neurocomputers, V. M. Glushkov Cybernetics Institute of AS of Ukraine, Kiev (1994), pp. 27–36.

    Google Scholar 

  11. V. V. Lukovich, “Transformation of data at the input of a random threshold neural classifier,” in: Neural-Net Systems of Information Processing, V. M. Glushkov Cybernetics Institute of AS of Ukraine, Kiev (1996), pp. 12–19.

    Google Scholar 

  12. D. A. Rachkovskii, S. V. Slipchenko, E. M. Kussul, and T. N. Baidyk, “Properties of numeric codes for the scheme of random subspaces RSC,” Cybernetics and Systems Analysis, No. 4, 39–52 (2005).

  13. D. A. Rachkovskii, S. V. Slipchenko, A. A. Frolov, and D. Husek, “Resolution of binary coding of real-valued vectors by hyperrectangular receiptive fields,” Cybernetics and Systems Analysis, No. 5, 3–16 (2005).

  14. S. V. Slipchenko, I. S. Misuno, and D. A. Rachkovsky, “Properties of coding numerical quantities by random hyperrectangular receptive fields,” Mat. Mashiny i Sistemy, No. 4, 15–29 (2005).

  15. R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification, Wiley, New York (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 55–70, November–December 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhora, D.V. Analysis of separating surfaces formed by a random subspace classifier. Cybern Syst Anal 42, 817–830 (2006). https://doi.org/10.1007/s10559-006-0122-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-006-0122-3

Keywords

Navigation