Skip to main content
Log in

Time series prediction evolving Voronoi regions

  • Published:
Applied Intelligence Aims and scope Submit manuscript

Abstract

Time series prediction is a complex problem that consists of forecasting the future behavior of a set of data with the only information of the previous data. The main problem is the fact that most of the time series that represent real phenomena include local behaviors that cannot be modelled by global approaches. This work presents a new procedure able to find predictable local behaviors, and thus, attaining a better level of total prediction. This new method is based on a division of the input space into Voronoi regions by means of Evolution Strategies. Our method has been tested using different time series domains. One of them that represents the water demand in a water tank, through a long period of time. The other two domains are well known examples of chaotic time series (Mackey-Glass) and natural phenomenon time series (Sunspot). Results prove that, in most of cases, the proposed algorithm obtain better results than other algorithms commonly used.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bäck T, Hoffmeister F, Schwefel H-P (1991) A survey of evolution strategies. In: ICGA, pp 2–9

  2. Bäck T, Schwefel H-P (1992) Evolutionary algorithms: Some very old strategies for optimization and adaptation. In: Proc. second int’l workshop software engineering, artificial intelligence, and expert systems for high energy and nuclear physics, pp 247–254

  3. Booker LB, Goldberg DE, Holland JH (1989) Classifier systems and genetic algorithms. Artif Intell 40(1–3):235–282

    Article  Google Scholar 

  4. Box GEP, Jenkins GM, Reinsel GC (1976) Time series analysis: forecasting and control. Holden-Day, Oakland

    MATH  Google Scholar 

  5. Fernández F, Isasi P (2008) Local feature weighting in nearest prototype classification. IEEE Trans Neural Netw 19(1):40–53

    Article  Google Scholar 

  6. Fogel DB (1994) An introduction to simulated evolutionary optimization. IEEE Trans Neural Netw 5(1):3–14

    Article  Google Scholar 

  7. Galván IM, Isasi P (2001) Multi-step learning rule for recurrent neural models: An application to time series forecasting. Neural Process Lett 13(2):115–133

    Article  MATH  Google Scholar 

  8. Galván IM, Isasi P, Aler R, Valls JM (2001) A selective learning method to improve the generalization of multilayer feedforward neural networks. Int J Neural Syst 11(2):167–177

    Google Scholar 

  9. Holland JH (1975) Adaptation in natural and artificial systems. MIT Press, Cambridge

    Google Scholar 

  10. Lloyd SP (1982) Least square quantization in pcm. IEEE Trans Inf Theory 2(28):129–137

    Article  MathSciNet  Google Scholar 

  11. Luque C, Isasi P, Hernández J (2004) Distribución de cargas en una esfera mediante estrategias evolutivas. Rev IEEE Am Lat 2(2)

  12. Luque C, Isasi P, Hernández JC (2004) Forecasting time series by means of evolutionary algorithms. In: PPSN, pp 1061–1070

  13. Mackey M, Glass L (1977) Oscillation and chaos in physiological control systems. Science 197:287–289

    Article  Google Scholar 

  14. Macqueen J (1967) Some methods for classification and analysis of multivariate observations. In: 5th Berkeley symposium on mathematical statistics and probability, Berkeley, January 1967

  15. Meyer TP, Packard NH (1992) Local forecasting of high dimensional chaotic dynamics

  16. Mitchell M (1996) An introduction to genetic algorithms. MIT Press, Cambridge

    Google Scholar 

  17. Moody J, Darken C (1989) Fast learning in networks of locally tuned processing units. Neural Comput 1:281–294

    Article  Google Scholar 

  18. Packard NH (1990) A genetic learning algorithm for the analysis of complex data. Complex Syst 4(5):543–572

    MATH  MathSciNet  Google Scholar 

  19. Papalexopoulos A, Hesterberg T (1990) A regression-based approach to short-term system load forecasting. IEEE Trans Power Syst 5(4):1535–1547

    Article  Google Scholar 

  20. Park D, El-Sharkawi M, Marks I, Atlas L, Damborg M (1991) Electric load forecasting using an artificial neural network. IEEE Trans Power Syst 6(2):442–449

    Article  Google Scholar 

  21. Platt J (1991) A resource-allocating network for function interpolation. Neural Comput 3:213–225

    Article  MathSciNet  Google Scholar 

  22. Quintana D, Luque C, Isasi P (2005) Evolutionary rule-based system for IPO underpricing prediction. In: Proceedings of genetic and evolutionary computation conference (GECCO 2005), pp 983–989

  23. Rahman S, Hazim O (1993) A generalized knowledge-based short-term load-forecasting technique. IEEE Trans Power Syst 8(2):508–514

    Article  Google Scholar 

  24. Schwefel HP (1965) Kybernetische Evolution als Strategie der exprimentellen Forschung in er Strömungstechnik. PhD thesis

  25. Somervuo P, Kohonen T (1999) Self-organizing maps and learning vector quantization for feature sequences. Neural Process Lett 10(2):151–159

    Article  Google Scholar 

  26. Valls JM, Galván IM, Isasi P (2008) Learning radial basis neural networks in a lazy way: a comparative study. Neurocomputing 71:2529–2537

    Article  Google Scholar 

  27. Wei H, Billings S (2006) An efficient nonlinear cardinal b-spline model for high tide forecasts at the Venice lagoon

  28. Yingwei L, Sundararajan N, Saratchandran P (1997) A sequential learning scheme for function approximation using minimal radial basis function neural networks. Neural Comput 9:461–478

    Article  MATH  Google Scholar 

  29. Zaldivar J, Gutiérrez E, Galván I, Strozzi F, Tomasin A (2000) Forecasting high waters at Venice Lagoon using chaotic time series analysis and nonlinear neural networks. J Hydroinf 2:61–84

    Google Scholar 

  30. Zuo J, Tang C, Li C, an Yuan C, long Chen A (2004) Time series prediction based on gene expression programming. In: Li Q, Wang G, Feng L (eds.) Advances in web-age information management: 5th international conference, WAIM 2004, Lecture notes in computer science, vol 3129, pp 55–64, Dalian, China, 15–17 July 2004. Springer, Berlin

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cristobal Luque.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luque, C., Valls, J.M. & Isasi, P. Time series prediction evolving Voronoi regions. Appl Intell 34, 116–126 (2011). https://doi.org/10.1007/s10489-009-0184-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10489-009-0184-9

Keywords

Navigation