Skip to main content

Building Localized Basis Function Networks Using Context Dependent Clustering

  • Conference paper
Artificial Neural Networks - ICANN 2008 (ICANN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5163))

Included in the following conference series:

  • 1975 Accesses

Abstract

Networks based on basis set function expansions, such as the Radial Basis Function (RBF), or Separable Basis Function (SBF) networks, have non-linear parameters that are not trivial to optimize. Clustering techniques are frequently used to optimize positions of localized functions. Context-dependent fuzzy clustering techniques improve convergence of parameter optimization, leading to better networks and facilitating formulation of prototype-based logical rules that provide low-complexity models of data.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  2. Duch, W., Jankowski, N.: Survey of neural transfer functions. Neural Computing Surveys 2, 163–213 (1999)

    Google Scholar 

  3. Duch, W., Diercksen, G.H.F.: Feature space mapping as a universal adaptive system. Computer Physics Communications 87, 341–371 (1995)

    Article  MATH  Google Scholar 

  4. Levine, I.: Quantum Chemistry, 5th edn. Prentice-Hall, Englewood Cliffs (1999)

    Google Scholar 

  5. Duch, W., Blachnik, M.: Fuzzy rule-based systems derived from similarity to prototypes. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds.) ICONIP 2004. LNCS, vol. 3316, pp. 912–917. Springer, Heidelberg (2004)

    Google Scholar 

  6. Pothos, M.E.: The rules versus similarity distinction. Behavioral and Brain Sciences 28, 1–49 (2005)

    Google Scholar 

  7. Schölkopf, B., Smola, A.: Learning with Kernels. Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge (2001)

    Google Scholar 

  8. Jankowski, N.: Approximation and classification in medicine with incnet neural networks. In: Machine Learning and Applications, Workshop on Machine Learning in Medical Applications, Greece, pp. 53–58 (July 1999)

    Google Scholar 

  9. Adamczak, R., Duch, W., Jankowski, N.: New developments in the feature space mapping model. In: Third Conference on Neural Networks and Their Applications, Kule, Poland, pp. 65–70 (October 1997)

    Google Scholar 

  10. Webb, A.: Statistical Pattern Recognition. J. Wiley & Sons, Chichester (2002)

    MATH  Google Scholar 

  11. Duch, W.: Support vector neural training. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds.) ICANN 2005. LNCS, vol. 3697, pp. 67–72. Springer, Heidelberg (2005)

    Google Scholar 

  12. Blachnik, M., Duch, W.: Prototype rules from SVM. Springer Studies in Computational Intelligence, vol. 80, pp. 163–184. Springer, Heidelberg (2008)

    Google Scholar 

  13. Schwenker, F., Kestler, H., Palm, G.: Three learning phases for radial-basis-function networks. Neural Networks 14, 439–458 (2001)

    Article  Google Scholar 

  14. Jang, J.S.R., Sun, C.: Functional equivalence between radial basis function neural networks and fuzzy inference systems. IEEE Transactions on Neural Networks 4, 156–158 (1993)

    Article  Google Scholar 

  15. Kuncheva, L.: On the equivalence between fuzzy and statistical classifiers. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, 245–253 (1996)

    Article  MathSciNet  Google Scholar 

  16. Duch, W., Grudziński, K.: Prototype based rules - new way to understand the data. In: IEEE International Joint Conference on Neural Networks, pp. 1858–1863. IEEE Press, Washington (2001)

    Google Scholar 

  17. Kohonen, T.: Self-organizing maps. Springer, Heidelberg (1995)

    Google Scholar 

  18. Blachnik, M., Duch, W., Wieczorek, T.: Selection of prototypes rules: context searching via clustering. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 573–582. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  19. Pedrycz, W.: Conditional fuzzy c-means. Pattern Recognition Letters 17, 625–632 (1996)

    Article  Google Scholar 

  20. Hoppner, F., Klawonn, F., Kruse, R., Runkler, T.: Fuzzy Cluster Analysis. Wiley, Chichester (1999)

    Google Scholar 

  21. Merz, C., Murphy, P.: UCI repository of machine learning databases (1998-2004), http://www.ics.uci.edu/~mlearn/MLRepository.html

  22. Jankowski, N., Grąbczewski, K.: Handwritten digit recognition – road to contest victory. In: IEEE Symposium on Computational Intelligence in Data Mining, pp. 491–498. IEEE Press, Los Alamitos (2007)

    Chapter  Google Scholar 

  23. Lin, K., Lin, C.: A study on reduced support vector machines. IEEE Transactions on Neural Networks 14(6), 1449–1459 (2003)

    Article  Google Scholar 

  24. Diederich, J. (ed.): Rule Extraction from Support Vector Machines. Springer Studies in Computational Intelligence, vol. 80. Springer, Heidelberg (2008)

    MATH  Google Scholar 

  25. Blachnik, M., Duch, W., Wieczorek, T.: Probabilistic distance measures for prototype-based rules. In: Proc. of the 12th Int. Conference on Neural Information Processing (ICONIP 2005), pp. 445–450. Taipei University Press, Taiwan (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Véra Kůrková Roman Neruda Jan Koutník

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Blachnik, M., Duch, W. (2008). Building Localized Basis Function Networks Using Context Dependent Clustering. In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87536-9_50

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87536-9_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87535-2

  • Online ISBN: 978-3-540-87536-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics