skip to main content
10.1145/2979779.2979802acmotherconferencesArticle/Chapter ViewAbstractPublication PagesaictcConference Proceedingsconference-collections
research-article

Effect of Activation Function Symmetry on Training of SFFANNs with RPROP Algorithm

Published:12 August 2016Publication History

ABSTRACT

On ten learning tasks (5 function approximation and 5 real life regression problems), we compare the effciency and efficacy of using asymmetric or anti-symmetric activation functions in sigmoidal feedforward artificial neural network training and usage. The result obtained in the experiment allows us to conclude that for networks trained using the improved variant of the resilient backpropagation algorithm, the usage of asymmetric activation functions like the logistic or the log-sigmoid function should be preferred as compared to anti-symmetric function such that the two functions have the same derivative.

References

  1. Asuncion, A. 2007.UCI machine learning repository.Google ScholarGoogle Scholar
  2. Breiman, L. 1991. The PI method for estimating multivariate functions from noisy data. Technometrics 3(2), 125--160. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Chandra, P. 2003. Sigmoidal function classes for feedforward artificial neural networks. Neural Processing Letters 18(3), 205--215. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Chandra, P., Singh, Y. 2004. Feedforward sigmoidal networks - equicontinuity and fault- tolerance. IEEE Transactions on Neural Networks 15(6), 1350--1366. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Cherkassky, V., Gehring, D., Mulier, F. 1996. Comparison of adaptive methods for func-tion estimation from samples. IEEE Transactions on Neural Networks 7(4), 969--984. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Cherkassky, V., Mulier, F. 1998. Learning from Data - Concepts, Theory and Methods. John Wiley, New York. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Cybenko, G. 1989.Approximation by superposition of a sigmoidal function. Mathematics of Control, Signal and Systems 5, 233--243.Google ScholarGoogle Scholar
  8. Duch, W., Jankowski, N. 1999. Survey of neural network transfer functions. Neural Computing Surveys 2, 163--212.Google ScholarGoogle Scholar
  9. Duch, W., Jankowski, N. 2001.Transfer functions: hidden possibilities for better neural networks. In: ESANN. pp. 81--94.Google ScholarGoogle Scholar
  10. Friedman, J.H. 1991. Multivariate adaptive regression splines. Ann. Statist 19, 1--141.Google ScholarGoogle ScholarCross RefCross Ref
  11. Funahashi, K. 1989. On the approximate realization of continuous mappings by neural networks. Neural Networks 2, 183--192. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. Gibbons, J.D., Chakraborti, S.2003. Nonparametric Statistical Inference. Marcel Dekker, Inc., New York.Google ScholarGoogle Scholar
  13. Haykin, S. 1999. Neural Networks: A Comprehensive Foundation. Prentice Hall, Inc., New Jersey (1999). Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. Hornik, K., Stinchcombe, M., White, H.1989. Multilayer feedforward networks are universal approximators. Neural Networks 2, 359--366. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. Igel, C., Husken, M.2003. Empirical evaluation of the improved rprop learning algorithms Neurocomputing 50(0), 105--123.Google ScholarGoogle Scholar
  16. Johnson, R.W. 1996. Fitting percentage of body fat to simple body measurements. Proceedings of the IEEE 4(1).Google ScholarGoogle ScholarCross RefCross Ref
  17. Jones, L.1990. Constructive approximations for neural networks by sigmoidal functions. Proceedings of the IEEE 78(10), 1586--1589.Google ScholarGoogle ScholarCross RefCross Ref
  18. LeCun, Y., Bottou, L., Orr, G.B., Muller, K.R. 1998. Efficient backprop. In: Orr, G.B.,Muller, K.R. (eds.) Neural Networks: Tricks of the trade. pp. 9--50. LNCS: 1524, Springer, Berlin. Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Riedmiller, M., Braun, H.2010. A direct adaptive method for faster backpropagation learning: The RPROP algorithm. In: Proc. of IEEE conference on Neural Networks. vol. 1, pp. 586--591. San Francisco.Google ScholarGoogle Scholar
  20. Riedmiller, M. 1994. Advanced supervised learning in multi-layer perceptrons from backpropagation to adaptive learning algorithms. Computer Standards & Interfaces 16(3), 265--278.Google ScholarGoogle ScholarCross RefCross Ref
  21. Singh, Y., Chandra, P.2003. A class +1 sigmoidal activation functions for FFANNs. Journal of Economic Dynamics and Control 28, 183--187.Google ScholarGoogle ScholarCross RefCross Ref
  22. Sodhi, S.S., Chandra, P. 2014. Bi-modal derivative activation function for sigmoidal feedforward networks. Neurocomputing 143(0), 182--196. Google ScholarGoogle ScholarDigital LibraryDigital Library
  1. Effect of Activation Function Symmetry on Training of SFFANNs with RPROP Algorithm

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Other conferences
      AICTC '16: Proceedings of the International Conference on Advances in Information Communication Technology & Computing
      August 2016
      622 pages
      ISBN:9781450342131
      DOI:10.1145/2979779

      Copyright © 2016 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 12 August 2016

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • research-article
      • Research
      • Refereed limited
    • Article Metrics

      • Downloads (Last 12 months)2
      • Downloads (Last 6 weeks)1

      Other Metrics

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader