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Multistep-ahead Prediction: A Comparison of Analytical and Algorithmic Approaches

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Big Data Analytics and Knowledge Discovery (DaWaK 2018)

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Abstract

Most approaches to forecasting time series data employ one-step-ahead prediction approaches. However, recently there has been focus on multi-step-ahead prediction approaches. These approaches demonstrate enhanced prediction capabilities. However, multi-step-ahead prediction increases the complexity of the prediction process in comparison to one-step-ahead approaches. Typically, studies in the examination of multi-step ahead methods have addressed issues such as the increased complexity, inaccuracy, uncertainty, and error variance on the prediction horizon, and have been deployed in various domains such as finance, economics, agriculture and hydrology. When determining which algorithm to use in a time series analyses, the approach is to analyze the series for numerous characteristics and features, such as heteroscedasticity, auto-correlation, seasonality and stationarity. In this work, a comparative analysis of 20 different time series datasets is presented and a demonstration of the complexity in deciding which approach to use is given. The study investigates some of the main prediction approaches such as ARIMA (Autoregressive integrated moving average), NN (Neural Network), RNN (Recurrent neural network) and SVR (Support vector regression), which focus on the recursive prediction strategy and compare them to a new approach known as MRFA (Multi-Resolution Forecast Aggregation).

This work is supported by Science Foundation Ireland under grant number SFI/12/RC/2289.

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References

  1. Aweya, J.: Sensitivity methods for congestion control in computer networks. Ph.D thesis, Ottawa, Ontario, Canada, AAINQ48085 (1999)

    Google Scholar 

  2. Bahrpeyma, F., Roantree, M., McCarren, A.: Multi-resolution forecast aggregation for time series in agri datasets. In: Proceedings of the 25th Irish Conference on Artificial Intelligence and Cognitive Science, Dublin, Ireland, 7–8 December 2017, pp. 193–205 (2017)

    Google Scholar 

  3. Bontempi, G., Ben Taieb, S., Le Borgne, Y.-A.: Machine learning strategies for time series forecasting. In: Aufaure, M.-A., Zimányi, E. (eds.) eBISS 2012. LNBIP, vol. 138, pp. 62–77. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-36318-4_3

    Chapter  Google Scholar 

  4. Box, G.E.P., Jenkins, G.M., Reinsel, G.C., Ljung, G.M.: Time Series Analysis: Forecasting and Control. Wiley, Hoboken (2015)

    MATH  Google Scholar 

  5. Brockwell, P.J., Davis, R.A.: Introduction to Time Series and Forecasting. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-319-29854-2

    Book  MATH  Google Scholar 

  6. Browne, A.: Neural Network Analysis, Architectures and Applications. CRC Press, Boca Raton (1997)

    MATH  Google Scholar 

  7. Cadavid, A.C., Lawrence, J.K., Ruzmaikin, A.: Principal components and independent component analysis of solar and space data. In: Ireland, J., Young, C.A. (eds.) Solar Image Analysis and Visualization. Springer, New York (2007). https://doi.org/10.1007/978-0-387-98154-3_5

    Chapter  Google Scholar 

  8. Chatfield, C.: The Analysis of Time Series: An Introduction. CRC Press, New York (2016)

    MATH  Google Scholar 

  9. Chu, H., Wei, J., Li, T., Jia, K.: Application of support vector regression for mid-and long-term runoff forecasting in “yellow river headwater” region. Procedia Eng. 154, 1251–1257 (2016)

    Article  Google Scholar 

  10. Corder, G.W., Foreman, D.I.: Nonparametric Statistics: A Step-by-Step Approach. Wiley, Hoboken (2014)

    MATH  Google Scholar 

  11. Dickey, D.A., Fuller, W.A.: Distribution of the estimators for autoregressive time series with a unit root. J. Am. Stat. Assoc. 74(366a), 427–431 (1979)

    Article  MathSciNet  Google Scholar 

  12. Fischer, T., Krauss, C.: Deep learning with long short-term memory networks for financial market predictions. Eur. J. Oper. Res. 270, 654–669 (2017)

    Article  MathSciNet  Google Scholar 

  13. Hurst, H.E.: Long term storage capacity of reservoirs. ASCE Trans. 116(776), 770–808 (1951)

    Google Scholar 

  14. Kantelhardt, J.W., Koscielny-Bunde, E., Rego, H.H.A., Havlin, S., Bunde, A.: Detecting long-range correlations with detrended fluctuation analysis. Phys. A Stat. Mech. Appl. 295(3–4), 441–454 (2001)

    Article  Google Scholar 

  15. Kočenda, E., Černỳ, A.: Elements of Time Series Econometrics: An Applied Approach. Charles University in Prague, Karolinum Press, Prague (2015)

    Google Scholar 

  16. Kwiatkowski, D., Phillips, P.C.B., Schmidt, P., Shin, Y.: Testing the null hypothesis of stationarity against the alternative of a unit root: how sure are we that economic time series have a unit root? J. Econom. 54(1–3), 159–178 (1992)

    Article  Google Scholar 

  17. Mandic, D.P., Chambers, J.A.: Recurrent Neural Networks for Prediction: Learning Algorithms, Architectures and Stability. Wiley Online Library (2001)

    Google Scholar 

  18. Parlos, A.G., Rais, O.T., Atiya, A.F.: Multi-step-ahead prediction using dynamic recurrent neural networks. Neural Netw. 13(7), 765–786 (2000)

    Article  Google Scholar 

  19. Richman, J.S., Lake, D.E., Moorman, J.R.: Sample entropy. In: Methods in Enzymology, vol. 384, pp. 172–184. Elsevier (2004)

    Google Scholar 

  20. Soofi, A.S., Cao, L.: Modelling and Forecasting Financial Data: Techniques of Nonlinear Dynamics, vol. 2. Springer, New York (2012). https://doi.org/10.1007/978-1-4615-0931-8

    Book  Google Scholar 

  21. Xiong, W., Xu, B.: Study on optimization of SVR parameters selection based on PSO. J. Syst. Simul. 9, 017 (2006)

    Google Scholar 

  22. Zhang, G., Hu, M.Y.: Neural network forecasting of the British pound/US dollar exchange rate. Omega 26(4), 495–506 (1998)

    Article  Google Scholar 

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Correspondence to Fouad Bahrpeyma .

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Bahrpeyma, F., Roantree, M., McCarren, A. (2018). Multistep-ahead Prediction: A Comparison of Analytical and Algorithmic Approaches. In: Ordonez, C., Bellatreche, L. (eds) Big Data Analytics and Knowledge Discovery. DaWaK 2018. Lecture Notes in Computer Science(), vol 11031. Springer, Cham. https://doi.org/10.1007/978-3-319-98539-8_26

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  • DOI: https://doi.org/10.1007/978-3-319-98539-8_26

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