Nothing Special   »   [go: up one dir, main page]

Skip to main content

Learning algorithm with gaussian membership function for Fuzzy RBF Neural Networks

  • Learning
  • Conference paper
  • First Online:
From Natural to Artificial Neural Computation (IWANN 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 930))

Included in the following conference series:

Abstract

In this paper a new learning algorithm for Fuzzy Radial Basis Function Neural Networks is presented, which is characterized by its fully-unsupervising, self-organizing and fuzzy properties, with an associated computational cost that is fewer than other algorithms. It is intended for pattern classification tasks, and is capable of automatically configuring the Fuzzy RBF network. The methodology shown here is based on the self-determination of network architecture and the self-recruitment of nodes with a gaussian type of activation function, i.e. the center and covariance matrices of the activation functions together with the number of tuned and output nodes. This approach consists in a mix of the “Thresholding in Features Spaces” techniques and the updating strategies of the “Fuzzy Kohonen Clustering Networks” introducing a Gaussian Membership function. Its properties are the same as those of the traditional membership function used in Fuzzy c-Means clustering algorithms, but with the membership function proposed here it lets a nearer relationship exist between learning algorithm and network architecture. Data from a real image and the results given by the algorithm are used to illustrate this method.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Benítez-Díaz D., Carrabina J., González M.M.; “Neural-like Network Model for Color Images Analysis Systems”; Proceedings of the IEEE International Conference on Neural Networks, Vol. 3, pp. 1415–1420, 1994.

    Google Scholar 

  2. Bezdek J.C.; Pattern Recognition with Fuzzy Objective Function Algorithms; Plenum Press, New York, 1981.

    Google Scholar 

  3. Bezdek J.C.; “Computing with Uncertainty”; IEEE Communications Magazine, pp. 24–36, September 1992.

    Google Scholar 

  4. Chen S., Cowan C.F.N., Grant P.M.; “Orthogonal Least Squares Learning Algorithm for Radial Basis Function Networks”; IEEE Transaction on Neural Networks, Vol. 2, No.2, pp. 302–309, 1991.

    Google Scholar 

  5. Davies E.R.; “Design of optimal gaussian operators in small neighborhoods”; Image and Vision Computing, Vol. 5, No.3, pp. 199–205, 1987.

    Google Scholar 

  6. Hald A.; Statistical Tables and Formulas; Wiley, New York, 1952.

    Google Scholar 

  7. Hush D.R., Horne B.G.; “Progress in Supervised Neural Networks”; IEEE Signal Processing Magazine, pp. 8–39, January 1993.

    Google Scholar 

  8. Kohonen, T.; Self-Organization and Associative Memory, third edition, Springer Verlag, 1989.

    Google Scholar 

  9. Lee S., Kil R.M.; “A Gaussian Potential Function Network with Hierarchically Self-Organizing Learning”; Neural Networks, Vol. 4, pp. 207–224, 1991.

    Google Scholar 

  10. Moody J., Darken C.J.; “Fast Learning in networks of locally-tuned processing units”; Neural Computation, Vol. 1, pp. 281–294, 1989.

    Google Scholar 

  11. Musavi M.T., Ahmed W., Chan K.H., Faris K.B., Hummels D.M.; “On the Training of Radial Basis Function Classifiers”; Neural Networks, Vol. 5, pp. 595–603, 1992.

    Google Scholar 

  12. Ohta Y.; Knowledge-Based Interpretation of Outdoor Natural Color Scenes”; Pitman Advanced Publishing Program, 1985.

    Google Scholar 

  13. Osman H., Fahmy M.M.; “Probabilistic Winner-Take-All Learning Algorithm for Radial-Basis-Function Neural Classifiers”; Neural Computation 6, 927–943, 1994.

    Google Scholar 

  14. Pham D.T., Bayro-Corrochano E.J.; “Self-Organizing Neural-Network-Based Pattern Clustering Method with Fuzzy Outputs”; Pattern Recognition, Vol. 27, No.8. pp. 1103–1110, 1994.

    Google Scholar 

  15. Pratt W.K.; Digital Image Processing, second edition; John Wiley and Sons Interscience, 1991.

    Google Scholar 

  16. Tsao E.C., Bezdek J.C., Pal N.R.; “Fuzzy Kohonen Clustering Networks”, Pattern Recognition, Vol. 27, No.5, pp. 757–764, 1994.

    Google Scholar 

  17. Won Lim Y., Uk Lee S.; “On the Color Image Segmentation Algorithm Based on the Thresholding and the Fuzzy c-Means Techniques”; Pattern Recognition, Vol. 23, No.9, pp. 935–952, 1990.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

José Mira Francisco Sandoval

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Benitez-Diaz, D., Garcia-Quesada, J. (1995). Learning algorithm with gaussian membership function for Fuzzy RBF Neural Networks. In: Mira, J., Sandoval, F. (eds) From Natural to Artificial Neural Computation. IWANN 1995. Lecture Notes in Computer Science, vol 930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59497-3_219

Download citation

  • DOI: https://doi.org/10.1007/3-540-59497-3_219

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59497-0

  • Online ISBN: 978-3-540-49288-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics