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Analysis of Chaos and Predicting the Price of Crude Oil in Ecuador Using Deep Learning Models

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Advanced Research in Technologies, Information, Innovation and Sustainability (ARTIIS 2021)

Abstract

This paper studied deterministic chaotic behaviour and prediction of WTI crude oil daily price time series from 2015 to 2020 in Ecuador. To understand the price of crude oil, the dynamics and time delay of the system were reconstructed through the Average Mutual Information and False Nearest Neighbours methods, the chaotic characteristics was determined using the Lyapunov exponent, and finally a BDS test was applied to determine the nonlinearity of the series. Then, three neural networks are used to predict oil prices, which were validated by estimating four goodness-of-fit measures. The results show that the neural network models produce a good prediction rate, confirmed by a maximum error of \(0.0058927\%\) from the Radial Basis Function, which indicates a significant similarity between the prediction and the real data. Predictions made with monthly values perform better than those made with daily values, possibly due to the level of noise in the daily time series. Among the three models, NARX performs best, with a percentage error of \(2.6213\cdot 10^{- 13}\%\).

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References

  1. Abadi, M., et al.: TensorFlow: large-scale machine learning on heterogeneous systems (2015). http://tensorflow.org/

  2. Alvarez-Ramirez, J., Cisneros, M., Ibarra Valdez, C., Soriano, A.: Multifractal hurst analysis of crude oil prices. Phys. A Stat. Mech. Appl. 313, 651–670 (2002)

    Article  Google Scholar 

  3. Ardalani-Farsa, M., Zolfaghari, S.: Chaotic time series prediction with residual analysis method using hybrid elman-narx neural networks. Neurocomputing 73, 2540–2553 (2010)

    Article  Google Scholar 

  4. BCE: Sector Petrolero (2020). https://contenido.bce.fin.ec/documentos/Administracion/bi_menuPetroleos.html#

  5. Boullé, N., Dallas, V., Nakatsukasa, Y., Samaddar, D.: Classification of chaotic time series with deep learning. Phys. D Nonlinear Phenom. 403, 132261 (2019)

    Article  MathSciNet  Google Scholar 

  6. Broock, W., Scheinkman, J., Dechert, W., Lebaron, B.: A test for independence based on the correlation dimension. Econometric Rev. 15, 197–235 (1996)

    Google Scholar 

  7. Bruijn, S., Meijer, O., Beek, P., Van Dieen, J.: Assessing the stability of human locomotion: a review of current measures. J. R. Soc. Interface 10, 20120999 (2013)

    Article  Google Scholar 

  8. Chirivella, X., Ortega-Becea, J., Infante, S.: Análisis no lineal de la frecuencia cardíaca fetal. Revista de obstetricia y ginecología de Venezuela 71(3), 174–182 (2011)

    Google Scholar 

  9. Chiroma, H., Abdulkareem, S., Herawan, T.: Evolutionary neural network model for west texas intermediate crude oil price prediction. Appl. Energ. 142, 266–273 (2015)

    Article  Google Scholar 

  10. Drachal, K.: Forecasting spot oil price in a dynamic model averaging framework: have the determinants changed over time? Energ. Econ. 60, 35–46 (2016)

    Article  Google Scholar 

  11. Farmer, J., Sidorowich, J.: Exploiting chaos to predict the future and reduce noise. In: Evolution, Learning and Cognition, January 1988

    Google Scholar 

  12. Fraser, A., Swinney, H.: Independent coordinates for strange attractors from mutual information. Phys. Rev. A 33, 1134–1140 (1986)

    Article  MathSciNet  Google Scholar 

  13. Garcia, M., Ruiz, J., Sanz, B.: El test BDS: Posibles limitaciones. Rect@ Actas 9 (2001)

    Google Scholar 

  14. Grassberger, P., Procaccia, I.: Measuring strangeness strange attractors. Phys. D Nonlinear Phenom. 9, 189–208 (1983)

    Article  MathSciNet  Google Scholar 

  15. Greenwood, P., Nikulin, M.: A Guide to Chi-squared Testing, vol. 39. Wiley-Interscience, Hoboken (1996)

    MATH  Google Scholar 

  16. Gupta, N., Nigam, S.: Crude oil price prediction using artificial neural network. Procedia Comput. Sci. 170, 642–647 (2020)

    Article  Google Scholar 

  17. Hagan, M., Demuth, H., Beale, M.: Neural Network Design, vol. 2 pp. 2–14. Pws Pub, Boston (1996)

    Google Scholar 

  18. He, L.Y., Chen, S.P.: Are crude oil markets multifractal? evidence from MF-DFA and MF-SSA perspectives. Phys. A Stat. Mech. Appl. Phys. A 389, 3218–3229 (2010)

    Google Scholar 

  19. Infante, S., Ortega, J., Cedeño, F.: Estimación de datos faltantes en estaciones meteorológicas de venezuela vía un modelo de redes neuronales. Rev. Climatol. 8, 51–70 (2008)

    Google Scholar 

  20. Kennel, M., Brown, R., Abarbanel, H.: Determining embedding dimension for phase-space reconstruction using a geometrical construction. Phys. Rev. A 45, 3403 (1992)

    Article  Google Scholar 

  21. Kuchaki Rafsanjani, M., Samareh, M.: Chaotic time series prediction by artificial neural networks. J. Comput. Methods Sci. Eng. 16, 1–17 (2016)

    MathSciNet  MATH  Google Scholar 

  22. Kugiumtzis, D., Bjørn, L., Christophersen, N.: Chaotic time series part i: estimation of invariant properies in state space. Model. Identificat. Control 15 (1994)

    Google Scholar 

  23. MATLAB: Neural net time series toolbox (2010). https://la.mathworks.com/help/deeplearning/ref/neuralnettimeseries-app.html

  24. Menezes, J.M., Jr., Barreto, G.: Long-term time series prediction with the narx network: an empirical evaluation. Neurocomputing 71, 3335–3343 (2008)

    Article  Google Scholar 

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

    Article  Google Scholar 

  26. Orojo, O., Tepper, J., Mcginnity, T., Mahmud, M.: A multi-recurrent network for crude oil price prediction (2020)

    Google Scholar 

  27. Piorek, M.: Analysis of Chaotic Behavior in Non-linear Dynamical Systems Models and Algorithms for Quaternions. Springer International Publishing, Cham (2019). https://doi.org/10.1007/978-3-319-94887-4

  28. Schuster, H.: Deterministic Chaos: An Introduction. Wiley-VCH Verlag, Weinheim (1984)

    MATH  Google Scholar 

  29. Shiblee, M., Kalra, P., Chandra, B.: Time series prediction with multilayer perceptron (mlp): a new generalized error based approach. In: Advances in Neuro-Information Processing: 15th International Conference, pp. 37–44, November 2008

    Google Scholar 

  30. Singh, V., Kumar, P., Nishant, S.: Feedback spillover dynamics of crude oil and global assets indicators: a system-wide network perspective. Energ. Econ. 80, 321–335 (2019)

    Article  Google Scholar 

  31. Smith, R.: Estimating dimensions in noisy chaotic time series. J. R. Stat. Soc. Ser. B (Methodol.) 54, 329–351 (1992)

    MathSciNet  MATH  Google Scholar 

  32. Trapletti, A., Hornik, K.: Tseries: time series analysis and computational finance (2020). https://CRAN.R-project.org/package=tseries

  33. Xiu, Y., Zhang, W.: Multivariate chaotic time series prediction based on narx neural networks. In: Proceedings of the 2nd International Conference on Electrical, Automation and Mechanical Engineering, pp. 164–167 (2017)

    Google Scholar 

  34. Yin, T., Wang, Y.: Predicting the price of WTI crude oil using ANN and chaos. Sustainability 11, 5980 (2019)

    Article  Google Scholar 

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Correspondence to Naomi Cedeño .

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Cedeño, N., Carillo, G., Ayala, M.J., Lalvay, S., Infante, S. (2021). Analysis of Chaos and Predicting the Price of Crude Oil in Ecuador Using Deep Learning Models. In: Guarda, T., Portela, F., Santos, M.F. (eds) Advanced Research in Technologies, Information, Innovation and Sustainability. ARTIIS 2021. Communications in Computer and Information Science, vol 1485. Springer, Cham. https://doi.org/10.1007/978-3-030-90241-4_25

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  • DOI: https://doi.org/10.1007/978-3-030-90241-4_25

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