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RBF Neural Network for Probability Density Function Estimation and Detecting Changes in Multivariate Processes

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

We propose a new radial basis function (RBF) neural network for probability density function estimation. This network is used for detecting changes in multivariate processes. The performance of the proposed model is tested in terms of the average run lengths (ARL), i.e., the average time delays of the change detection. The network allows the processing of large streams of data, memorizing only a small part of them. The advantage of the proposed approach is in the short and reliable net training phase.

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References

  1. Bishop, C.M.: Neural Networks for Pattern Recognition. Oxford University Press, Oxford (1995)

    Google Scholar 

  2. Chang, S.I., Aw, C.A.: A neural fuzzy control chart for detecting and classifying process mean shifts. International Journal of Production Research 34, 2265–2278 (1996)

    Article  MATH  Google Scholar 

  3. Chen, L., Wang, T.: Artificial neural networks to classify mean shifts from multivariate χ 2 charts signals. Computers and Industrial Engineering 47, 195–205 (2004)

    Article  Google Scholar 

  4. Cheng, C.-S.: A neural network approach for the analysis of control charts patterns. International Journal of Production Reseach 235, 667–697 (1997)

    Article  Google Scholar 

  5. Cheng, C.-S.: A multi-layer neural network model for detecting changes in the process mean. Computers and Industrial Engineering 28, 51–61 (1995)

    Article  Google Scholar 

  6. Cheng, C.-S., Cheng, S.: A neural network-based procedure for the monitoring of exponential mean. Computers and Industrial Engineering 40, 309–321 (2001)

    Article  Google Scholar 

  7. Chinnam, R.B.: Support vector machines for recognizing shifts in correlated and other manufacturing processes. International Journal of Production Research 40, 4449–4466 (2002)

    Article  MATH  Google Scholar 

  8. Guh, R.: A hybrid learning based model for on-line detection and analysis of control chart patterns. Computers and Industrial Engineering 49, 35–62 (2005)

    Article  Google Scholar 

  9. Guh, R., Hsieh, Y.: A neural network based model for abnormal pattern recognition of control charts. Computers and Industrial Engineering 36, 97–108 (1999)

    Article  Google Scholar 

  10. Ho, E.S., Chang, S.I.: An integrated neural network approach for simultaneously monitoring of process mean and variance shifts - a comparative study. International Journal of Production Research 37, 1881–1901 (1999)

    Article  MATH  Google Scholar 

  11. Krzyżak, A., Skubalska-Rafajłowicz, E.: Combining Space-filling Curves and Radial Basis Function Networks. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 229–234. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  12. Lowm, C., Hsu, C., Yu, F.: Analysis of variations in a multi-variate process using neural networks. Int. J. Adv. Manuf Technology 22, 911–921 (2003)

    Article  Google Scholar 

  13. Lowry, C.A., Woodall, W.H.: A Multivariate Exponentially Weighted Moving Average Control Chart. Technometrics 34, 46–53 (1992)

    Article  MATH  Google Scholar 

  14. Montgomery, D.C.: Introduction to statistical quality control. John Wiley and Sons, Inc, Chichester (2001)

    Google Scholar 

  15. Nadaraya, A.: On the integral mean square error of some nonparametric estimates for the density function. Theory of Probability and its Applications 19, 133–141 (1974)

    Article  MATH  Google Scholar 

  16. Parzen, E.: On estimation of a probability density function and mode. Annals of Mathematical Statistics 33, 1065–1076 (1962)

    Article  MATH  MathSciNet  Google Scholar 

  17. Rafajłowicz, E., Skubalska-Rafajłowicz, E.: RBF nets based on equidistributed points. In: Proc. of 9th IEEE International Conf. Methods and Models in Automation and Robotics MMAR 2003, vol. 2, pp. 921–926 (2003)

    Google Scholar 

  18. Skubalska-Rafajłowicz, E.: On using space-filling curves and vector quantization for constructing multidimensional control charts. In: Fifth Conf. ”Neural Network and Soft Computing” Zakopane, June 6-10, 2000, pp. 162–167 (2000)

    Google Scholar 

  19. Skubalska-Rafajłowicz, E.: Pattern recognition algorithm based on space-filling curves and orthogonal expansion. IEEE Trans. on Information Theory 47, 1915–1927 (2001)

    Article  MATH  Google Scholar 

  20. Skubalska-Rafajłowicz, E.: Space-filling Curves in Multivariate Decision Problems (in Polish). Wrocław University of Technology Press, Wrocław (2001)

    Google Scholar 

  21. Xu, L., Krzyżak, A., Yuille, A.: On Radial Basis Function Nets and Kernel Regression: Statistical Consistency, Convergence Rates, and Receptive Field Size. Neural Networks 7, 609–628 (1994)

    Article  MATH  Google Scholar 

  22. Zorriassatine, F., Tannock, J.D.T., O‘Brien, C.: Using novelty detection to identify abnormalities caused by mean shifts in bivariate processes. Computers and Industrial Engineering 44, 385–408 (2003)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Skubalska-Rafajłowicz, E. (2006). RBF Neural Network for Probability Density Function Estimation and Detecting Changes in Multivariate Processes. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_15

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  • DOI: https://doi.org/10.1007/11785231_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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