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Chebyshev Multilayer Perceptron Neural Network with Levenberg Marquardt-Back Propagation Learning for Classification Tasks

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Recent Advances on Soft Computing and Data Mining (SCDM 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 549))

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Abstract

Artificial neural network has been proved among the best tools in data mining for classification tasks. Multilayer perceptron (MLP) neural network commonly used due to the fast convergence and easy implementation. Meanwhile, it fails to tackle higher dimensional problems. In this paper, Chebyshev multilayer perceptron neural network with Levenberg Marquardt back propagation learning is presented for classification task. Here, Chebyshev orthogonal polynomial is used as functional expansion for solution of higher dimension problems. Four benchmarked datasets for classification are collected from UCI repository. The computational results are compared with MLP trained by different training algorithms namely, Gradient Descent back propagation (MLP-GD), Levenberg Marquardt back propagation (MLP-LM), Gradient Descent back propagation with momentum (MLP-GDM), and Gradient Descent with momentum and adaptive learning rate (MLP-GDX). The findings show that, proposed model outperforms all compared methods in terms of accuracy, precision and sensitivity.

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References

  1. Kumar, M., Singh, S., Rath, S.K.: Classification of microarray data using functional link neural network. Procedia Comput. Sci. 57, 727–737 (2015)

    Article  Google Scholar 

  2. Decker, R., Kroll, F.: Classification in marketing research by means of LEM2-generated rules. In: Advances in Data Analysis, pp. 425–432 (2007)

    Google Scholar 

  3. Bebarta, D.K., Biswal, B., Rout, A.K., Dash, P.K.: Forecasting and classification of Indian stocks using different polynomial functional link artificial neural networks. In: INDICON Annual IEEE, pp. 178–182 (2012)

    Google Scholar 

  4. Paliwal, M., Kumar, U.A.: Neural networks and statistical techniques: a review of applications. Expert Syst. Appl. 36(1), 2–17 (2009)

    Article  Google Scholar 

  5. Rumelhart, D.E., Hinton, G.E., Williams, R.J.: Learning representations by back-propagating errors. Cogn. Model. 5(3), 533–536 (1988)

    MATH  Google Scholar 

  6. Silva-Ramírez, E.L., Pino-Mejías, R., López-Coello, M.: Single imputation with multilayer perceptron and multiple imputation combining multilayer perceptron and k-nearest neighbours for monotone patterns. Appl. Soft Comput. 29, 65–74 (2015)

    Article  Google Scholar 

  7. Mabu, S., Obayashi, M., Kuremoto, T.: Ensemble learning of rule-based evolutionary algorithm using multi-layer perceptron for supporting decisions in stock trading problems. Appl. Soft Comput. 36, 357–367 (2015)

    Article  Google Scholar 

  8. Jedliński, Ł., Jonak, J.: Early fault detection in gearboxes based on support vector machines and multilayer perceptron with a continuous wavelet transform. Appl. Soft Comput. 30, 636–641 (2015)

    Article  Google Scholar 

  9. Rehman, M.Z., Nawi, N.M.: The effect of adaptive momentum in improving the accuracy of gradient descent back propagation algorithm on classification problems. In: Software Engineering and Computer Systems, pp. 380–390 (2011)

    Google Scholar 

  10. Shah, H., Ghazali, R., Nawi, N.M., Deris, M.M., Herawan, T.: Global artificial bee colony-Levenberq-Marquardt (GABC-LM) algorithm for classification. Int. J. Appl. Evol. Comput. (IJAEC) 4(3), 58–74 (2013)

    Article  Google Scholar 

  11. Lee, T.T., Jeng, J.T.: The Chebyshev-polynomials-based unified model neural networks for function approximation. IEEE Trans. Syst. Man Cybern. Part B: Cybernet. 28(6), 925–935 (1998)

    Article  Google Scholar 

  12. Konstantinidis, S., Karampiperis, P., Sicilia, M.A.: Enhancing the Levenberg-Marquardt method in neural network training using the direct computation of the error cost function hessian. In: Proceedings of the 16th International Conference on Engineering Applications of Neural Networks (INNS) (2015)

    Google Scholar 

  13. Blake, C., Merz, C.J.: UCI repository of machine learning databases (1998)

    Google Scholar 

  14. Bui, D.T., Tuan, T.A., Klempe, H., Pradhan, B., Revhaug, I.: Spatial prediction models for shallow landslide hazards: a comparative assessment of the efficacy of support vector machines, artificial neural networks, kernel logistic regression, and logistic model tree. Landslides, pp. 1–18 (2015)

    Google Scholar 

  15. Liu, H., Tian, H.Q., Liang, X.F., Li, Y.F.: Wind speed forecasting approach using secondary decomposition algorithm and Elman neural networks. Appl. Energy 157, 183–194 (2015)

    Article  Google Scholar 

  16. Singh, B., De, S., Zhang, Y., Goldstein, T., Taylor, G.: Layer-specific adaptive learning rates for deep networks (2015)

    Google Scholar 

  17. Gates, G.W.: The reduced nearest neighbor rule. IEEE Trans. Inf. Theor. 431–435 (1972)

    Google Scholar 

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Acknowledgments

The authors would like to thank Universiti Tun Hussein Onn Malaysia (UTHM) and Ministry of High Education (MOHE) for financially supporting this research under Fundamental Research Grant Scheme (FRGS), Vote No 1235.

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Correspondence to Umer Iqbal .

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Iqbal, U., Ghazali, R. (2017). Chebyshev Multilayer Perceptron Neural Network with Levenberg Marquardt-Back Propagation Learning for Classification Tasks. In: Herawan, T., Ghazali, R., Nawi, N.M., Deris, M.M. (eds) Recent Advances on Soft Computing and Data Mining. SCDM 2016. Advances in Intelligent Systems and Computing, vol 549. Springer, Cham. https://doi.org/10.1007/978-3-319-51281-5_17

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  • DOI: https://doi.org/10.1007/978-3-319-51281-5_17

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