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Decompose and Conquer: Time Series Forecasting with Multiseasonal Trend Decomposition Using Loess

Author

Listed:
  • Amirhossein Sohrabbeig

    (Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada)

  • Omid Ardakanian

    (Computing Science, University of Alberta, Edmonton, AB T6G 1H9, Canada)

  • Petr Musilek

    (Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada)

Abstract

Over the past few years, there has been growing attention to the Long-Term Time Series Forecasting task and solving its inherent challenges like the non-stationarity of the underlying distribution. Notably, most successful models in this area use decomposition during preprocessing. Yet, much of the recent research has focused on intricate forecasting techniques, often overlooking the critical role of decomposition, which we believe can significantly enhance the performance. Another overlooked aspect is the presence of multiseasonal components in many time series datasets. This study introduced a novel forecasting model that prioritizes multiseasonal trend decomposition, followed by a simple, yet effective forecasting approach. We submit that the right decomposition is paramount. The experimental results from both real-world and synthetic data underscore the efficacy of the proposed model, Decompose&Conquer, for all benchmarks with a great margin, around a 30–50% improvement in the error.

Suggested Citation

  • Amirhossein Sohrabbeig & Omid Ardakanian & Petr Musilek, 2023. "Decompose and Conquer: Time Series Forecasting with Multiseasonal Trend Decomposition Using Loess," Forecasting, MDPI, vol. 5(4), pages 1-13, December.
  • Handle: RePEc:gam:jforec:v:5:y:2023:i:4:p:37-696:d:1298355
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    References listed on IDEAS

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    1. Alexander Dokumentov & Rob J. Hyndman, 2015. "STR: A Seasonal-Trend Decomposition Procedure Based on Regression," Monash Econometrics and Business Statistics Working Papers 13/15, Monash University, Department of Econometrics and Business Statistics.
    2. G. E. P. Box & G. M. Jenkins & J. F. MacGregor, 1974. "Some Recent Advances in Forecasting and Control," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 23(2), pages 158-179, June.
    3. Findley, David F, et al, 1998. "New Capabilities and Methods of the X-12-ARIMA Seasonal-Adjustment Program," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 127-152, April.
    4. Bell, William R & Hillmer, Steven C, 1984. "Issues Involved with the Seasonal Adjustment of Economic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 291-320, October.
    5. Holt, Charles C., 2004. "Author's retrospective on 'Forecasting seasonals and trends by exponentially weighted moving averages'," International Journal of Forecasting, Elsevier, vol. 20(1), pages 11-13.
    6. Holt, Charles C., 2004. "Forecasting seasonals and trends by exponentially weighted moving averages," International Journal of Forecasting, Elsevier, vol. 20(1), pages 5-10.
    7. Souhaib Ben Taieb & Rob J Hyndman, 2012. "Recursive and direct multi-step forecasting: the best of both worlds," Monash Econometrics and Business Statistics Working Papers 19/12, Monash University, Department of Econometrics and Business Statistics.
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    Cited by:

    1. Marius-Ionuț Gordan & Cosmin Alin Popescu & Jenica Călina & Tabita Cornelia Adamov & Camelia Maria Mănescu & Tiberiu Iancu, 2024. "Spatial Analysis of Seasonal and Trend Patterns in Romanian Agritourism Arrivals Using Seasonal-Trend Decomposition Using LOESS," Agriculture, MDPI, vol. 14(2), pages 1-24, January.
    2. Dimitrios Kontogiannis & Dimitrios Bargiotas & Athanasios Fevgas & Aspassia Daskalopulu & Lefteri H. Tsoukalas, 2024. "Combinatorial Component Day-Ahead Load Forecasting through Unanchored Time Series Chain Evaluation," Energies, MDPI, vol. 17(12), pages 1-46, June.

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