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Multi-layer Perceptron on Interval Data

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Classification, Clustering, and Data Analysis

Abstract

We study in this paper several methods that allow one to use interval data as inputs for Multi-layer Perceptrons. We show that interesting results can be obtained by using together two methods: the extremal values method which is based on a complete description of intervals, and the simulation method which is based on a probabilistic understanding of intervals. Both methods can be easily implemented on top of existing neural network software.

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References

  • Beheshti, M., Berrached, A., De Korvin, A., Hu, C., and Sirisaengtaksin, O. (1998). On interval weighted three-layer neural networks. In Proceedings of the 31 Annual Simulation Symposium,pages 188–194. IEEE Computer Society Press.

    Chapter  Google Scholar 

  • Bishop, C. (1995a). Neural Networks for Pattern Recognition. Oxford Press.

    Google Scholar 

  • Bishop, C. (1995b). Training with noise is equivalent to Tikhonov regularization. Neural Computation, 7 (1): 108–116.

    Article  Google Scholar 

  • Bock, H.-H. and Diday, E., editors (2000). Analysis of Symbolic Data. Exploratory methods for extracting statistical information from complex data. Springer Verlag.

    Google Scholar 

  • Grandvalet, Y., Canu, S., and Boucheron, S. (1997). Noise injection: Theoretical prospects. Neural Computation, 9 (5): 1093–1108.

    Article  Google Scholar 

  • Moore, R. (1966). Interval Analysis. Englewood Cliffs, New Jersey.

    MATH  Google Scholar 

  • Sietsma, J. and Dow, R. (1991). Creating articial neural networks that generalize. Neural Networks, 4 (1): 67–79.

    Article  Google Scholar 

  • Simoff, S. J. (1996). Handling uncertainty in neural networks: An interval approach. In Int. Conf. on Neural Networks, pages 606–610, Washington. IEEE.

    Google Scholar 

  • Sima, J. (1995). Neural Expert Systems. Neural Networks, 8 (2): 261–271.

    Article  Google Scholar 

  • Zell, A. et al. (1995). SNNS 4.1 user manual. University of Stuttgart.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Rossi, F., Conan-Guez, B. (2002). Multi-layer Perceptron on Interval Data. In: Jajuga, K., Sokołowski, A., Bock, HH. (eds) Classification, Clustering, and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56181-8_47

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  • DOI: https://doi.org/10.1007/978-3-642-56181-8_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43691-1

  • Online ISBN: 978-3-642-56181-8

  • eBook Packages: Springer Book Archive

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