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A Decreased Extreme Learning Machine with Ridge Parameter for Online Identification of Nonlinear Systems

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Proceedings of 2013 Chinese Intelligent Automation Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 254))

Abstract

A recursive method of decreased extreme learning machine (DELM) is proposed for online identification of nonlinear systems. The output weights of ELM can be recursively updated by decreasing the hidden nodes one by one in an efficient manner. Furthermore, a ridge parameter is introduced into the transposed matrix to overcome the singular problem. The simulation results for several benchmark problems demonstrate that the proposed DELM method can reduce the computational complexity efficiently, and maintain the good prediction performance of the model, compared to the traditional ELM algorithm.

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References

  1. Ljung L, Hjalmarsson H (2011) Four encounters with system identification. Eur J Control 17(5–6):449–471

    Article  MathSciNet  MATH  Google Scholar 

  2. Miche Y, Sorjamaa A, Lendasse A (2008) OP-ELM: theory, experiment and a toolbox. Lect Notes Comput Sci 5163:145–153

    Article  Google Scholar 

  3. Huang GB, Wang DH, Lan Y (2011) Extreme learning machines: a survey. Int J Machine Learn Cybernet 2:107–122

    Article  Google Scholar 

  4. Huang GB, Zhu Y, Siew CK (2006) Extreme learning machine: theory and applications. Neurocomputing 70:489–501

    Article  Google Scholar 

  5. Huang GB, Li MB, Chen L (2008) Incremental extreme learning machine with fully complex hidden nodes. Neurocomputing 71:1–7

    Google Scholar 

  6. Feng G, Huang GB, Lin QP (2009) Error minimized extreme learning machine with growth of hidden nodes and incremental learning. IEEE Trans Neural Networks 20(8):1352–1356

    Article  Google Scholar 

  7. Liu Y, Wang HQ, Yu J, Li P (2010) Selective recursive kernel learning for online identification of nonlinear systems with NARX form. J Process Control 20(2):181–194

    Article  Google Scholar 

  8. Golub GH, Heath M, Wahha G (1979) Generalize cross-validation as a method for choosing a good ridge parameter. Technometrics 21(2):215–223

    Article  MathSciNet  MATH  Google Scholar 

  9. Yu Q, Miche Y, Eirola E, van Heeswijk M, Severin E, Lendasse A (2011) Regularized extreme learning machine for regression with missing data. In: Proceedings of the international symposium on extreme learning machines. Hangzhou, pp 1–17

    Google Scholar 

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Acknowledgments

The authors would like to gratefully acknowledge National Natural Science Foundation of China (Grant Nos. 61004136 and 61273069) for the financial support.

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Correspondence to Yi Liu .

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Zhang, M., Liu, Y., Gao, Z. (2013). A Decreased Extreme Learning Machine with Ridge Parameter for Online Identification of Nonlinear Systems. In: Sun, Z., Deng, Z. (eds) Proceedings of 2013 Chinese Intelligent Automation Conference. Lecture Notes in Electrical Engineering, vol 254. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38524-7_45

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  • DOI: https://doi.org/10.1007/978-3-642-38524-7_45

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38523-0

  • Online ISBN: 978-3-642-38524-7

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