A novel decomposition-ensemble approach to crude oil price forecasting with evolution clustering and combined model


In order to deal with non-stationary and chaotic series, a hybrid forecasting approach is proposed in this study, which integrates ensemble empirical mode decomposition (EEMD) and optimal combined forecasting model (CFM). The proposed approach introduces a new intrinsic mode functions (IMFs) reconstruction method by using evolutionary clustering algorithm, and utilizes optimal combined model to forecast sub-series. Firstly, the EEMD technique is employed to sift the IMFs and a residue. Secondly, the comprehensive contribution index (CCI) of each IMF is calculated and IMFs are further reconstructed by evolutionary clustering algorithm according to CCI of each IMF. Then, a new sub-series called virtual intrinsic mode functions (VIMFs) is defined and obtained. Thirdly, the optimal combined forecasting model is developed to forecast the VIMFs and residues. In the end, the final forecasting results are obtained by summing the forecasts of VIMFs and residue. For illustration and comparison, the West Texas Intermediate (WTI) crude oil price data are shown as a numerical example. The research results show that the proposed approach outperforms benchmark models in terms of some forecasting assessment measures. Therefore, the proposed hybrid approach can be utilized as an effective model for the forecasting of crude oil price.

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Artificial neural networks


Intrinsic mode function


Support vector regression


Combined forecasting model

DM test:

Diebold–Mariano test


Sum of square error


Mean absolute error


Root mean square error


Ensemble empirical mode decomposition


Virtual intrinsic mode function


Nonlinear autoregressive neural network


General regression neural network


Artificial neural networks


Comprehensive contribution index


Induced ordered weighted averaging


Mean absolute percentage error


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The work was supported by National Natural Science Foundation of China (Nos. 71871001, 61502003, 71771001, 71701001, 71501002), University Provincial Natural Science Research Project of Anhui Province (No. KJ2017A026).

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Correspondence to Huayou Chen.

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Zhu, J., Liu, J., Wu, P. et al. A novel decomposition-ensemble approach to crude oil price forecasting with evolution clustering and combined model. Int. J. Mach. Learn. & Cyber. 10, 3349–3362 (2019). https://doi.org/10.1007/s13042-019-00922-9

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  • Hybrid forecasting approach
  • Ensemble empirical mode decomposition
  • Mode reconstruction
  • Optimal combined model
  • Crude oil price