Skip to main content

MBabCoNN – A Multiclass Version of a Constructive Neural Network Algorithm Based on Linear Separability and Convex Hull

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5164))

Abstract

The essential characteristic of constructive neural network (CoNN) algorithms is the incremental construction of the neural network architecture along with the training process. The BabCoNN (Barycentric-based constructive neural network) algorithm is a new neural network constructive algorithm suitable for two-class problems that relies on the BCP (Barycentric Correction Procedure) for training its individual TLU (Threshold Logic Unit). Motivated by the good results obtained with the two-class BabCoNN, this paper proposes its extension to multiclass domains as a new CoNN algorithm named MBabCoNN. Besides describing the main concepts involved in the MBabCoNN proposal, the paper also presents a comparative analysis of its performance versus the multiclass versions of five well known constructive algorithms, in four knowledge domains as an empirical evidence of the MBabCoNN suitability and efficiency for multiclass classification tasks.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   139.00
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Duda, R.O., Hart, P.E., Stork, D.G.: Pattern Classification. John Wiley, Chichester (2001)

    MATH  Google Scholar 

  2. Mitchell, T.M.: Machine Learning. McGraw-Hill, New York (1997)

    MATH  Google Scholar 

  3. Nilsson, N.J.: Learning Machines. McGrall-Hill Systems Science Series (1965)

    Google Scholar 

  4. Elizondo, D.: The linear separability problem: Some testing methods. IEEE Transactions on Neural Network 17(2), 330–344 (2006)

    Article  Google Scholar 

  5. Bertini Jr., J.R., Nicoletti, M.C.: A constructive neural network algorithm based on the geometric concept of barycenter of convex hull. In: ICAISC (June 2008) (accepted for presentation)

    Google Scholar 

  6. Gallant, S.I.: Neural Network Learning & Expert Systems. MIT Press, Cambridge (1994)

    Google Scholar 

  7. Mézard, M., Nadal, J.: Learning feedforward networks: The tiling algorithm. J. Phys. A: Math Gen. 22, 2191–2203 (1989)

    Article  Google Scholar 

  8. Frean, M.: The upstart algorithm: a method for constructing and training feedforward neural networks. Neural Computation 2, 198–209 (1990)

    Article  Google Scholar 

  9. Amaldi, E., Guenin, B.: Two constructive methods for designing compact feedforward networks of threshold units. Int. Journal of Neural System 8(5), 629–645 (1997)

    Article  Google Scholar 

  10. Nicoletti, M.C., Bertini Jr., J.R.: An empirical evaluation of constructive neural network algorithms in classification tasks. Int. Journal of Innovative Computing and Applications (IJICA) 1, 2–13 (2007)

    Article  Google Scholar 

  11. Poulard, H.: Baricentric correction procedure: A fast method for learning threshold unit. In: WCNN, vol. 1, pp. 710–713 (1995)

    Google Scholar 

  12. Poulard, H., Labreche, S.: A new threshold unit learning algorithm. Technical Report 95504, LAAS (1995)

    Google Scholar 

  13. Bertini Jr., J.R., Nicoletti, M.C., Hruschka Jr., E.R.: A comparative evaluation of constructive neural networks methods using prm and bcp as tlu training algorithms. In: Proc. of the IEEE Int. Conf. Systems, Man, and Cybernetics, Taiwan, pp. 3497–3502 (2006)

    Google Scholar 

  14. Poulard, H., Estèves, D.: A convergence theorem for barycentric correction procedure. Technical Report 95180, LAAS-CNRS (1995)

    Google Scholar 

  15. Parekh, R.G., Yang, J., Honovar, V.: Constructive neural network learning algorithm for multi-category classification. Technical Report TR ISU-CS-TR95-15a, Iowa State University (1995)

    Google Scholar 

  16. Parekh, R.G., Yang, J., Honovar, V.: Mupstart - a constructive neural network learning algorithm for multi-category pattern classification. In: ICNN, vol. 3, pp. 1920–1924(1997)

    Google Scholar 

  17. Yang, J., Parekh, R., Honovar, V.: Mtiling - a constructive network learning algorithm for multi-category pattern classification. In: World Congress on Neural Networks, 182–187 (1996)

    Google Scholar 

  18. Burgess, N.: A constructive algorithm that converges for real-valued input patterns. International Journal of Neural Systems 5(1), 59–66 (1994)

    Article  Google Scholar 

  19. Fahlman, S., Lebiere, C.T.: The Cascade Correlation Architecture. In: Advances in Neural Information Processing Systems 2, pp. 524–532. Morgan Kaufman, San Francisco (1990)

    Google Scholar 

  20. Asuncion, A., Newman, D.J.: Uci machine learning repository. University of California, School of Information and Computer Science, Irvine, CA (2007)

    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

Bertini, J.R., do Carmo Nicoletti, M. (2008). MBabCoNN – A Multiclass Version of a Constructive Neural Network Algorithm Based on Linear Separability and Convex Hull. In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87559-8_75

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87559-8_75

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87558-1

  • Online ISBN: 978-3-540-87559-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics