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Interpreting the Output of Certain Neural Networks as Almost Unique Probability

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3214))

Abstract

In this paper sufficient conditions are derived that ensure that the output of certain Neural Networks may be interpreted as an almost unique probability distribution meaning that any two probability distributions arising as outputs must be close in a sense to be defined. These are rather important in the context of so-called scoring systems arising in a banking environment if one attempts to compute default probabilities. Preliminary experimental evidence is presented showing that these conditions might well apply in practical situations. It is also noted that these conditions may at times prevent good generalization capabilities of the system.

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References

  1. Bishop, C.M.: Neural Networks for Pattern Recognition. Oxford University Press, Oxford (1998)

    Google Scholar 

  2. Christianini, N., Shawe-Taylor, J.: An Introduction to Support Vector Machines and other Kernel-Based Learning Methods. Cambridge University Press, Cambridge (2000)

    Google Scholar 

  3. Zentralbank, E.: Die neue Basler Eigenkapitalvereinbarung aus Sicht der EZB. Monatsbericht, Mai (2001) (The New Basel Capital Accord from the Viewpoint of the European Central Bank)

    Google Scholar 

  4. Falkowski, B.-J.: On Scoring Systems with Binary Input Variables. In: Proceedings of the 6th World Multiconference on Systemics, Cybernetics and Informatics, International Institute of Informatics and Systemics, vol. XIII (2002)

    Google Scholar 

  5. Falkowski, B.-J.: Assessing Credit Risk Using a Cost Function. In: Proceedings of the Intl. Conference on Fuzzy Information Processing, vol. II. Tsinghua University Press, Springer (2003)

    Google Scholar 

  6. Gallant, S.I.: Perceptron-based Learning Algorithms. IEEE Transactions on Neural Networks I(2) (1990)

    Google Scholar 

  7. Hand, D.J., Henley, W.E.: Statistical Classification Methods in Consumer Credit Scoring: a Review. J.R. Statist. Soc. A 160(3) (1997)

    Google Scholar 

  8. Haykin, S.: Neural Networks, 2nd edn. Prentice Hall, Englewood Cliffs (1999)

    MATH  Google Scholar 

  9. Mendelsohn, S., Smola, A.J. (eds.): Advanced Lectures on Machine Learning. Machine Learning Summer School 2002. LNCS (LNAI), vol. 2660. Springer, Heidelberg (2003)

    Google Scholar 

  10. Shadbolt, J., Taylor, J.G. (eds.): Neural Networks and the Financial Markets. Springer, Heidelberg (2002)

    Google Scholar 

  11. Vapnik, V.N.: Statistical Learning Theory. John Wiley & Sons, Chichester (1998)

    MATH  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Falkowski, BJ. (2004). Interpreting the Output of Certain Neural Networks as Almost Unique Probability. In: Negoita, M.G., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2004. Lecture Notes in Computer Science(), vol 3214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30133-2_89

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  • DOI: https://doi.org/10.1007/978-3-540-30133-2_89

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23206-3

  • Online ISBN: 978-3-540-30133-2

  • eBook Packages: Springer Book Archive

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