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Signal Extraction and Knowledge Discovery Based on Statistical Modeling

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Algorithmic Learning Theory (ALT 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2842))

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Abstract

In the coming post IT era, the problems of signal extraction and knowledge discovery from huge data sets will become very important. For this problem, the use of good model is crucial and thus the statistical modeling will play an important role. In this paper, we show two basic tools for statistical modeling, namely the information criteria for the evaluation of the statistical models and generic state space model which provides us with a very flexible tool for modeling complex and time-varying systems. As examples of these methods we shall show some applications in seismology and macro economics.

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References

  1. Akaike, H.: Information Theory and an Extension of the Maximum Likelihood Principle. In: Petrov, B.N., Csaki, F. (eds.) 2nd International Symposium in Information Theory, Akademiai Kiado, Budapest, pp. 267–281 (1973)

    Google Scholar 

  2. Akaike, H.: A new look at the statistical model identification. IEEE Transactions on Automatic Control AC-19, 716–723 (1974)

    Article  MathSciNet  Google Scholar 

  3. Akaike, H.: Likelihood and the Bayes procedure (with discussion). In: Bernardo, J.M., De Groot, M.H., Lindley, D.V., Smith, A.F.M. (eds.) Bayesian Statistics, pp. 143–166. University press, Valencia (1980)

    Google Scholar 

  4. Akaike, H., Kitagawa, G. (eds.): The Practice of Time Series Analysis. Springer, New York (1999)

    MATH  Google Scholar 

  5. Alspach, D.L., Sorenson, H.W.: Nonlinear Bayesian Estimation Using Gaussian Sum Approximations. IEEE Transactions on Automatic Control AC-17, 439–448 (1972)

    Article  Google Scholar 

  6. Anderson, B.D.O., Moore, J.B.: Optimal Filtering. Prentice-Hall, New Jersey (1979)

    MATH  Google Scholar 

  7. Doucet, A., de Freitas, N., Gordon, N.: Sequential Monte Carlo Methods in Practice. Springer, New York (2000)

    Google Scholar 

  8. Efron, B.: Bootstrap methods: Another look at the jackknife. Ann. Statist. 7, 1–26 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  9. Gordon, N.J., Salmond, D.J., Smith, A.F.M.: Novel approach to nonlinear /non- Gaussian Bayesian state estimation. IEE Proceedings-F 140(2), 107–113 (1993)

    Google Scholar 

  10. Ishiguro, M., Sakamoto, Y., Kitagawa, G.: Bootstrapping log-likelihood and EIC, an extension of AIC. Annals of the Institute of Statistical Mathematics 49(3), 411–434 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  11. Kitagawa, G.: Non-Gaussian state-space modeling of nonstationary time series. Journal of the American Statistical Association 82, 1032–1063 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  12. Kitagawa, G.: Monte Carlo filter and smoother for non-Gaussian nonlinear state space models. Journal of Computational and Graphical Statistics 5, 1–25 (1996)

    Article  MathSciNet  Google Scholar 

  13. Kitagawa, G.: Self-organizing State Space Model. Journal of the American Statistical Association 93(443), 1203–1215 (1998)

    Article  Google Scholar 

  14. Kitagawa, G., Gersch, W.: A Smoothness Priors-State Space Approach to the Modeling of Time Series with Trend and Seasonality. Journal of the American Statistical Association 79(386), 378–389 (1984)

    Article  Google Scholar 

  15. Kitagawa, G., Gersch, W.: Smoothness Priors Analysis of Time Series. Lecture Notes in Statistics, vol. 116. Springer, New York (1996)

    MATH  Google Scholar 

  16. Kitagawa, G., Higuchi, T.: Automatic transaction of signal via statistical modeling. In: The Proceedings of The First International Conference on Discovery Science. LNCS (LNAI), pp. 375–386. Springer, Heidelberg (1998)

    Google Scholar 

  17. Kitagawa, G., Takanami, T., Matsumoto, N.: Signal Extraction Problems in Seismology. Intenational Statistical Review 69(1), 129–152 (2001)

    MATH  Google Scholar 

  18. Konishi, S., Kitagawa, G.: Generalised information criteria in model selection. Biometrika 83(4), 875–890 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  19. Sakamoto, Y., Ishiguro, M., Kitagawa, G.: Akaike Information Criterion Statistics. D-Reidel, Dordlecht (1986)

    MATH  Google Scholar 

  20. West, M., Harrison, P.J., Migon, H.S.: Dynamic generalized linear models and Bayesian forecasting (with discussion). Journal of the American Statistical Association 80, 73–97 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  21. Whittaker, E.T.: On a new method of graduation, Proc. Edinborough Math. Assoc. 78, 81–89 (1923)

    Google Scholar 

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Kitagawa, G. (2003). Signal Extraction and Knowledge Discovery Based on Statistical Modeling. In: Gavaldá, R., Jantke, K.P., Takimoto, E. (eds) Algorithmic Learning Theory. ALT 2003. Lecture Notes in Computer Science(), vol 2842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39624-6_2

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  • DOI: https://doi.org/10.1007/978-3-540-39624-6_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20291-2

  • Online ISBN: 978-3-540-39624-6

  • eBook Packages: Springer Book Archive

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