Skip to main content

Modular Neural Network Applied to Non-Stationary Time Series

  • Conference paper

Part of the book series: Advances in Soft Computing ((AINSC,volume 33))

Abstract

Modular artificial neural networks (MANN) have been used in the last years as clasification/forecasting machine, showing improved generalization capabilities that outperform those of single networks when the search space is stratified.

Time Series data could be generated by many unknown and different sources and Modular Neural Networks, in particular Mixture of Experts models, are suitable for this time series where each expert is more capable to model some region in the input space and a gating network makes an intelligent selection of the expert that will model the specific pattern.

Stochastical models for time series analysis are global models limited by the requirement of stationarity of the time series and normality and independence of the residuals. However, for most real world time series present behaviors such as heteroscedasticity, sudden burst of activity, or outliers. Such data are very common in finance, insurance, seismology and so on.

In this paper we propose MANN models capable of dynamically adapt their architecture to non-stationary time series when the data is generated from several sources and is affected by the presence of outliers. Simulation results based on benchmark data sets are presented to support the proposed technique.

This work was supported in part by Research Grant Fondecyt 1040365 and 7040051, in part by Research Grant BMBF-CHL 03/013 from the German Ministry of Education and in part by Research Grant DGIP-UTFSM and DIPUV-UV

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Allende and S. Heiler, Recursive generalized m-estimates for autoregressive moving average models, Journal of Time Series Analysis (1992), no. 13, 1–18.

    MATH  MathSciNet  Google Scholar 

  2. H. Allende, C. Moraga, and R. Salas, Artificial neural networks in time series forescasting: A comparative analysis, Kybernetika 38 (2002), no. 6, 685–707.

    MathSciNet  Google Scholar 

  3. G. E. P. Box, G.M. Jenkins, and G.C. Reinsel, Time series analysis, forecasting and control, 3 ed., Ed. Englewood Cliffs: Prentice Hall, 1994.

    MATH  Google Scholar 

  4. L. Breiman, J. Friedman, R. Olshen, and C.J. Stone, Classification and regression trees, Tech. report, Belmont, C. A. Wadsworth, 1984.

    Google Scholar 

  5. J.T. Connor and R.D. Martin, Recurrent neural networks and robust time series prediction, IEEE Transactions of Neural Networks 2 (1994), no. 5, 240–253.

    Article  Google Scholar 

  6. L. Davies and U. Gather, The identification of multiple outliers, Journal of the American Statistical Association 88 (1993), 782–801.

    Article  MATH  MathSciNet  Google Scholar 

  7. J.H. Friedman, Multivariate adaptive regression spline, The Annals of Statistics (1991), no. 19, 1–141.

    Article  MATH  MathSciNet  Google Scholar 

  8. F.R. Hampel, E.M. Ronchetti, P.J. Rousseeuw, and W.A. Stahel, Robust statistics, Wiley Series in Probability and Mathematical Statistics, 1986.

    Google Scholar 

  9. J. Hansen and R. Nelson, Neural networks and traditional time series methods, IEEE Trans. on Neural Networks 8 (1997), no. 4, 863–873.

    Article  Google Scholar 

  10. R. A. Jacobs, M. I. Jordan, S. J. Nowlan, and G. E. Hinton, Adaptive mixtures of local experts, Neural Computation 3 (1991), no. 1, 79–87.

    Google Scholar 

  11. M. Jordan and R. Jacobs, Modular and hierarchical learning systems, the handbook of brain theory and neural networks, cambridge, ma, vol. 1, MIT Press, 1999.

    Google Scholar 

  12. M.I. Jordan and R.A. Jacobs, Hierarchical mixtures of experts and the EM algorithm, Neural Computation 6 (1994), no. 2, 181–214.

    Google Scholar 

  13. J.L. Lin and C.W. Granger, Forecasting from non-linear models in practice, Int. Journal of Forecasting 13 (1994), 1–9.

    Article  Google Scholar 

  14. X. Liu, G. Cheng, and J. Wu, Analyzing outliers cautiosly, IEEE Transactions on Knowledge and Data Engineering 14 (2002), no. 2, 432–437.

    Article  Google Scholar 

  15. G. McLachlan and D. Peel, Finite mixture models, Wiley series in probability and statistics, 2001.

    Google Scholar 

  16. S. Philander, El Niño, la Niña and the southern oscillation, San Diego: Academic Press, 1990.

    Google Scholar 

  17. T. Subba Rao, On the theory of bilinear models, J. Roy. Statist. Soc. B (1981), no. 43, 244–255.

    MATH  MathSciNet  Google Scholar 

  18. H. Tong, Non-linear time series, Ed. Oxford University Press, 1990.

    Google Scholar 

  19. R. Torres, R. Salas, H. Allende, and C. Moraga, Robust expectation maximization learning algorithm for mixture of experts, IWANN. LNCS 2686 (2003), 238–245.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Allende, H., Salas, R., Torres, R., Moraga, C. (2005). Modular Neural Network Applied to Non-Stationary Time Series. In: Reusch, B. (eds) Computational Intelligence, Theory and Applications. Advances in Soft Computing, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31182-3_54

Download citation

  • DOI: https://doi.org/10.1007/3-540-31182-3_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22807-3

  • Online ISBN: 978-3-540-31182-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics