An Adaptive Prediction Algorithm Based on Maximum Correntropy Criterion

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Abstract:

The traditional cost function, minimization mean square prediction error is a second order statistic, and it is based on the error Gaussian distribution and linear assumption. But chaotic signals are non-Gaussian, so the optimization criterion is not suitable. Then we present using the robust optimization criterion, maximum correntropy to replace the popular minima mean square error criterion minimization error. In simulation, the algorithm shows an improved performance to a common three-order Volterra prediction.

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1310-1313

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August 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Kantz H. and Schreiber T. Nonlinear time series analysis. Cambridge university press, (2004).

Google Scholar

[2] Gong Xiaofeng, and C. H. Lai, Phys. Rev. E, Improvement of the local prediction of chaotic time series, Vol. 60, No. 5, pp.5463-5468, Nov. (1999).

DOI: 10.1103/physreve.60.5463

Google Scholar

[3] BU Yun, WEN Guang-Jun, ZHOU Xiao-Jia, ZHANG Qiang. A novel adaptive predictor for chaotic time series. Chin. Phys. Lett. 2009, vol. 26, No. 10: 100502.

DOI: 10.1088/0256-307x/26/10/100502

Google Scholar

[4] Zhang J. S, Xiao X.C. Prediction of chaotic time series by using adaptive higher-order nonlinear fourier infrared filter. Acta Physica Sinica, vol. 49, No. 7, 2000: 1221-07.

DOI: 10.7498/aps.49.1221

Google Scholar

[5] Min Han, Jianhui Xi, Shiguo Xu, and Fu-Liang Yin, Prediction of chaotic time series based on the recurrent predictor neural network, IEEE Trans. on Sig. Proc. Vol. 52, No. 2, pp.3409-3416, Dec. (2004).

DOI: 10.1109/tsp.2004.837418

Google Scholar

[6] Zhang Jia-Shu, and Xiao Xian-Ci, Predicting chaotic time series using recurrent neural network, Chin. Phys. Lett. Vol. 17, No. 2, pp.88-90, (2000).

DOI: 10.1088/0256-307x/17/2/004

Google Scholar

[7] Badong Chden and J. C. Principe, Maximum correntropy estimation is a smoothed MAP estimation, IEEE Signal Process. Lett., vol. 19, no. 8, pp.491-494, Aug. (2012).

DOI: 10.1109/lsp.2012.2204435

Google Scholar

[8] Weifeng Liu, P. P. Pokharel, and J. C. Principe, Correntropy: properties and applications in non-Gaussian signal processing, IEEE Signal Process., vol. 55, no. 11, pp.5286-5298, Nov. (2007).

DOI: 10.1109/tsp.2007.896065

Google Scholar