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A First Approach to Solve Classification Problems Based on Functional Networks

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Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005 (ICANN 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3697))

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Abstract

In this paper the ability of the functional networks approach to solve classification problems is explored. Functional networks were introduced by Castillo et al. [1] as an alternative to neural networks. They have the same purpose, but unlike neural networks, neural functions are learned instead of weights, using families of linear independent functions. This is illustrated by applying several models of functional networks to a set of simulated data and to the well-known Iris data and Pima Indian data sets.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .

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References

  1. Castillo, E., Cobo, A., Gutiérrez, J.M., Pruneda, E.: An Introduction to Functional Networks with Applications. Kluwer Academic Publishers, New York (1998)

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  2. Castillo, E., Ruiz-Cobo, R.: Functional Equations in Science and Engineering. Marcel Dekker, New York (1992)

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  3. Hastie, T., Tibshirani, R., Friedman, J.: The Element of Statistical Learning. Data Mining, Inference and Prediction. Springer, Heidelberg (2001)

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  4. Ripley, B.D.: Pattern Recognition and Neuronal Networks. Cambridge University Press, Cambridge (2002)

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  5. UCI ML Repository Database, http://www.ics.uci.edu/~mlearn/MLSummary.html

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Author information

Authors and Affiliations

  1. University of Castilla-La Mancha, Spain

    Rosa Eva Pruneda & Cristina Solares

  2. University of Zaragoza, Spain

    Beatriz Lacruz

Authors
  1. Rosa Eva Pruneda
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  2. Beatriz Lacruz
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  3. Cristina Solares
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Editor information

Editors and Affiliations

  1. Department of Informatics, Nicolaus Copernicus University, Toruń, Poland

    Włodzisław Duch

  2. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447, Warsaw, Poland

    Janusz Kacprzyk

  3. Adaptive Informatics Research Centre, Helsinki University of Technology, P.O. Box 5400, 02015, HUT, Finland

    Erkki Oja

  4. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Sławomir Zadrożny

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© 2005 Springer-Verlag Berlin Heidelberg

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Pruneda, R.E., Lacruz, B., Solares, C. (2005). A First Approach to Solve Classification Problems Based on Functional Networks. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_50

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  • DOI: https://doi.org/10.1007/11550907_50

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28755-1

  • Online ISBN: 978-3-540-28756-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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