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Weights and structure determination of multiple-input feed-forward neural network activated by Chebyshev polynomials of Class 2 via cross-validation

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Abstract

Differing from conventional improvements on backpropagation (BP) neural network, a novel neural network is proposed and investigated in this paper to overcome the BP neural-network weaknesses, which is called the multiple-input feed-forward neural network activated by Chebyshev polynomials of Class 2 (MINN-CP2). In addition, to obtain the optimal number of hidden-layer neurons and the optimal linking weights of the MINN-CP2, the paper develops an algorithm of weights and structure determination (WASD) via cross-validation. Numerical studies show the effectiveness and superior abilities (in terms of approximation and generalization) of the MINN-CP2 equipped with the algorithm of WASD via cross-validation. Moreover, an application to gray image denoising demonstrates the effective implementation and application prospect of the proposed MINN-CP2 equipped with the algorithm of WASD via cross-validation.

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Acknowledgments

The authors would like to thank the editors and anonymous reviewers sincerely for their time and effort spent in handling the paper, as well as many constructive comments provided for improving much further the presentation and quality of the paper. This work is supported by the Specialized Research Fund for the Doctoral Program of Institutions of Higher Education of China (with Project Number 20100171110045), the National Innovation Training Program for University Students (with Project Number 201210558042), and the 2012 Scholarship Award for Excellent Doctoral Student Granted by Ministry of Education of China (under Project Number 3191004).

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Authors and Affiliations

  1. School of Information Science and Technology, Sun Yat-sen University, Guangzhou, 510006, China

    Yunong Zhang, Xiaotian Yu, Dongsheng Guo, Yonghua Yin & Zhijun Zhang

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  1. Yunong Zhang
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  2. Xiaotian Yu
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  3. Dongsheng Guo
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  4. Yonghua Yin
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  5. Zhijun Zhang
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Correspondence to Yunong Zhang.

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Zhang, Y., Yu, X., Guo, D. et al. Weights and structure determination of multiple-input feed-forward neural network activated by Chebyshev polynomials of Class 2 via cross-validation. Neural Comput & Applic 25, 1761–1770 (2014). https://doi.org/10.1007/s00521-014-1667-0

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