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Extreme Sample Classification and Credit Card Fraud Detection

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E-Commerce and Intelligent Methods

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 105))

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Abstract

Credit card fraud detection is an obviously difficult problem. There are two reasons for that. The first one is the overwhelming majority of good operations over fraudulent ones. The second one is the similarity of many bad operations to legal ones. In other words, to catch a fraudulent operation is akin to find needles in a haystack, only that some needles are in fact hay! In this type of problems (that we term below as Extreme Sample problems) well established methods for classifier construction, such as Multilayer Perceptrons (MLPs), may fail. Non Linear Discriminant Analysis, an alternative method, is described here and some issues pertaining to its practical use, such as fast convergence and architecture selection, are also discussed. Its performance is also compared with that of MLPs over Extreme Sample problems, and it is shown that it gives better results both over synthetic data and on credit card fraud.

With partial support from Spain’s CICyT, grant TIC 98–247.

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References

  1. Amari S (1985) Differential Geometric Methods in Statistics. Lecture Notes in Statistics 28, Springer-Verlag.

    Google Scholar 

  2. Amari S (1998) Natural Gradient Works Efficiently in Learning. Neural Computation 10: 251–276.

    Article  Google Scholar 

  3. Bernard E, Botha EC (1993) Backpropagation uses prior information efficiently. IEEE Trans. in Neural Networks 4: 794–802.

    Article  Google Scholar 

  4. Bernard E, Casasent D (1989) A comparison between criterion functions with an application to neural nets. IEEE Trans. in Systems, Man and Cybernetics 19: 1030–1041.

    Article  Google Scholar 

  5. Bourlard HA, Morgan N (1994) Connectionist Speech Recognition. Kluwer.

    Google Scholar 

  6. Dorronsoro J, Ginel F, Sanchez C, Santa Cruz C (1997) Neural Fraud Detection in Credit Card Operations. IEEE Trans. in Neural Networks 8: 827–834.

    Article  Google Scholar 

  7. Dorronsoro J, Gonzlez A, Santa Cruz C (2001) Natural gradient learning in NLDA networks. In: Proceedings of the 2001 IWANN Conference, Lecture Notes in Computer Science 2084. Springer Verlag, pp 427–434.

    Google Scholar 

  8. Dorronsoro J, Gonzlez A, Santa Cruz C (2001) Arquitecture selection in NLDA networks. In: Proceedings of the 2001 Internationa Conference on Artifical Neural Networks, Lecture Notes in Computer Science 2130. Springer Verlag, pp 27–32.

    Google Scholar 

  9. Duda R, Hart P (1973) Pattern classification and scene analysis. Wiley.

    Google Scholar 

  10. Fukunaga K (1972) Introduction to Statistical Pattern Recognition. Academic Press.

    Google Scholar 

  11. Geman S, Bienenstock E, Doursat R ((1992) Neural networks and the bias/variance dilemma. Neural Computation 4: 1–58.

    Google Scholar 

  12. Golden R (1996). Mathematical Models for Neural Network Analysis and Design. MIT Press.

    Google Scholar 

  13. Lawrence S, Burns I, Back A, Tsoi A, Giles C (1998). Neural network classification and prior class probabilities. In: Lecture Notes in Computer Science State—of—the—Art Surveys. Springer, pp 299–314.

    Google Scholar 

  14. Manoukian E (1986) Modern Concepts and Theorems of Mathematical Statistics. Springer.

    Google Scholar 

  15. Mardia K, Kent J, Bibby J (1979) Multivariate Analysis. Academic Press.

    Google Scholar 

  16. Murray M, Rice J (1993) Differential Geometry and Statistics. Chapman and Hall.

    Google Scholar 

  17. Park H, Amari S, Fukumizu K (2000) Adaptive Natural Gradient Learning Algorithms for Various Stochastic Models. Neural Networks 13: 755–764.

    Article  Google Scholar 

  18. Press W, Flannery B, Teukolski S, Vetterling W (1992) Numerical Recipes in C. Cambridge U. Press.

    Google Scholar 

  19. Richard M, Lippmann R (1991), Neural network classifiers estimate Bayesian a posteriori probabilities. Neural Computation 3: 461–483.

    Article  Google Scholar 

  20. Rao C (1973) Linear Statistical Inference and its Applications. Wiley.

    Google Scholar 

  21. Ripley B (1996) Pattern Recognition and Neural Networks. Cambridge University Press.

    Google Scholar 

  22. Ruck D, Rogers S, Kabrisky K, Oxley M, Suter B (1990) The multilayer perceptron as an approximation to an optimal Bayes estimator. IEEE Trans. in Neural Networks 1: 296–298.

    Google Scholar 

  23. Santa Cruz C, Dorronsoro J (1998) A non-linear discriminant algorithm for data projection and feature extraction. IEEE Trans. in Neural Networks 9: 1370–1376.

    Google Scholar 

  24. Webb A, Lowe D (1990) The optimised internal representation of multilayer classifier networks performs non-linear discriminant analysis. Neural Networks 3: 367–375.

    Article  Google Scholar 

  25. White H (1989) Learning in artificial neural networks: a statistical perspective, Neural Computation 1: 425–464.

    Article  Google Scholar 

  26. Yaeger L, Lyon R, Webb B (1997) Effective training of a neural network character classifier for word recognition. In: Advances in Neural Information Processing Systems 9. MIT Press.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Dorronsoro, J.R., González, A.M., Santa Cruz, C. (2002). Extreme Sample Classification and Credit Card Fraud Detection. In: Segovia, J., Szczepaniak, P.S., Niedzwiedzinski, M. (eds) E-Commerce and Intelligent Methods. Studies in Fuzziness and Soft Computing, vol 105. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1779-9_9

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  • DOI: https://doi.org/10.1007/978-3-7908-1779-9_9

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2514-5

  • Online ISBN: 978-3-7908-1779-9

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