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Nonlinear Hydrological Time Series Forecasting Based on the Relevance Vector Regression

  • Conference paper
Neural Information Processing (ICONIP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4233))

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Abstract

As long leading-time hydrological forecast is a complex non-linear procedure, traditional methods are easy to get slow convergence and low efficiency. The basic relevance vector machine (BRVM) and the developed sequential relevance vector machine (SRVM) are employed to forecast multi-step ahead hydrological time series. The relevance vector machine is a sparse approximate Bayesian kernel method, and it provides full probabilistic forecasting results, which is helpful for hydrological engineering decision. BRVM and SRVM are respectively applied to the annual coming runoff forecast of Three Gorges hydropower station as case study. When compared with auto regression moving average models, BRVM exhibits high model efficiency and provides satisfying forecasting precision. SRVM is potential for its increased freedom and adaptive model selection mechanism. Comparison is also made within direct forecast and iterative one-step ahead forecasting for multi-step ahead forecasting, and the latter shows the ability of highlighting the model performance.

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References

  1. Fan, X.Z.: Mid and Long-term Hydrologic Forecast. Hehai University Publishing Company, Nanjing (1999)

    Google Scholar 

  2. Guire, M.M., Wood, A.W., Hamlet, A.F., Lettenmaier, D.P.: Use of Satellite Data for Streamflow and Reservoir Storage Forecasts in the Snake River Basin. Journal of Water Resources Planning and Management 132(2), 97–110 (2006)

    Article  Google Scholar 

  3. Qin, G.H., Ding, J., Li, M.M., Ni, C.J.: Application of ANNs with Sensitive Ability to Hydrologic Forecast. Advances in Water Science 14(2), 163–166 (2003)

    Google Scholar 

  4. Yuan, J., Zhang, X.F.: Real-time Hydrological Forecasting Method of Artificial Neural Network Based on Forgetting Factor. Advances in Water Science 15(6), 787–792 (2004)

    Google Scholar 

  5. Liu, F., Zhou, J.Z., Yang, J.J., Qiu, F.P.: The Application of Fuzzy System with Recursive Least Squares Method to Mid and Long-Term Runoff Forecast. In: Proceedings of World Water and Environmental Resources Congress, Anchorage, Alaska, USA, pp. 337–344 (2005)

    Google Scholar 

  6. Liu, S.H., Mao, H.M.: A New Prediction of Hydrology Time Series. Engineering Journal of Wuhan University 35(4), 53–56 (2002)

    MathSciNet  Google Scholar 

  7. NIkolaev, N.: Sequential Relevance Vector Machine Learning from Time Series. In: Proceedings of International Joint Conference on Neural Networks, Montreal, Canadapp, pp. 1308–1313 (2005)

    Google Scholar 

  8. Tipping, M.E.: The Relevance Vector Machine. In: Proceedings of Advances in Neural Information Processing Systems 12, pp. 652–658. MIT Press, Cambridge (2000)

    Google Scholar 

  9. Shevade, S.K., Sundararajian, S., Keerthi, S.S.: Predictive Approaches for Sparse Model Learning. In: Pal, N.R., Kasabov, N., Mudi, R.K., Pal, S., Parui, S.K. (eds.) ICONIP 2004. LNCS, vol. 3316, pp. 434–439. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  10. Tipping, M.E., Faul, A.: Fast Marginal Likelihood Maximisation for Sparse Bayesian models. In: Proceedings of the Ninth International Workshop on Social Intelligence Statistics, Key West (2003)

    Google Scholar 

  11. Neal, R.M.: Bayesian Learning for Neural Networks. Lecture Notes in Statistics, vol. 118. Springer, New York (1996)

    MATH  Google Scholar 

  12. Vapnik, V.N.: Statistical Learning Theory. Wiley, New York (1998)

    MATH  Google Scholar 

  13. Tipping, M.E.: Sparse Bayesian Learning and the Relevance Vector Machine. Journal of Machine Learning Research 1(2), 211–244 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  14. Faul, A., Tipping, M.E.: Analysis of Sparse Bayesian Learning. In: Proceedings of NIPS (2001)

    Google Scholar 

  15. Candela, J.Q., Girard, A., Larsen, J., Rasmussen, C.E.: Propagation of Uncertainty in Bayesian Kernel Models – Application to Multi-step Ahead Forecasting. In: Proceedings of ICASSP (2003)

    Google Scholar 

  16. Tipping, M.E.: Bayesian Inference: An Introduction to Principles and Practice in Machine Learning. In: Proceedings of Advanced Lectures on Machine Learning, pp. 41–62. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  17. Candela, J.Q., Hansen, L.K.: Time Series Prediction Based on The Relevance Vector Machine with Adaptive Kernels. In: Proceedings of IEEE International Conference on Acoustics, Speech, and Signal Processing, pp. 985–988 (2003)

    Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Liu, F., Zhou, JZ., Qiu, FP., Yang, JJ., Liu, L. (2006). Nonlinear Hydrological Time Series Forecasting Based on the Relevance Vector Regression. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893257_97

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  • DOI: https://doi.org/10.1007/11893257_97

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46481-5

  • Online ISBN: 978-3-540-46482-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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