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Hybridization of the Higher Order Neural Networks with the Evolutionary Optimization Algorithms—An Application to Financial Time Series Forecasting

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Advances in Machine Learning for Big Data Analysis

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 218))

Abstract

Multilayer artificial neural networks have characteristics of structural complexity, computational overhead and black box visualization. In contrast, higher order neural networks (HONNs) have single layer trainable weights, fast learning properties, stronger approximation, and higher fault tolerance capability. This chapter discusses about popular HONNs such as Pi-Sigma neural network (PSNN), Sigma-Pi neural network (SPNN), and functional link artificial neural network (FLANN), their architecture, learning process, and applications to financial time series forecasting. To eradicate the limitations of gradient descent-based training, we discuss few evolutionary optimization algorithms for HONN training. The hybrid models obtained are applied to forecast financial time series. Performance analysis is carried out to establish the suitability of evolutionary optimization-based HONNs.

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References

  1. Guler, M., Sahin, E.: A new higher-order binary-input neural unit: Learning and generalizing effectively via using minimal number of monomials. In: Third Turkish Symposium on Artificial Intelligence and Neural Networks Proceedings. Middle East Technical University, Ankara, Turkey, pp. 51–60 (1994)

    Google Scholar 

  2. Shin, Y., Ghosh, J.: Ridge polynomial networks. IEEE Trans. Neural Networks 6, 610–622 (1995)

    Article  Google Scholar 

  3. Park, S., Smith, M.J.T., Mersereau, R.M.: Target recognition based on directional filter banks and higher-order neural networks. Digit. Signal Process, pp. 297–308 (2000)

    Google Scholar 

  4. Leerink, L.R., Giles, C.L., Horne, B.G., Jabri, M.A.: Learning with product units. In: Tesaro, G., Touretzky, D., Leen, T. (eds.) Advances in Neural Information Processing Systems, 7 Cambridge, pp. 537–544. MIT Press, MA (1995)

    Google Scholar 

  5. Wang, Z., Fang, J., Liu, X.: Global stability of stochastic high-order neural networks with discrete and distributed delays. Chaos, Solutions and Fractals 36(2), 388–396 (2008)

    Article  MathSciNet  Google Scholar 

  6. Ghazali, R.: Higher order neural network for financial time series prediction. In: Annual Postgraduate Research Conference. School of Computing and Mathematical Sciences, Liverpool John Moores University, UK (2005). http://www.cms.livjm.ac.uk/research/

  7. Nayak, S.C., Misra, B. B., Behera, H.S. (2015). A pi-sigma higher order neural network for stock index forecasting. In: Computational Intelligence in Data Mining, vol. 2, pp. 311–319. Springer, New Delhi

    Google Scholar 

  8. Nayak, S.C., Misra, B.B., Behera, H.S.: Improving performance of higher order neural network using artificial chemical reaction optimization: a case study on stock market forecasting. In: Nature-Inspired Computing: Concepts, Methodologies, Tools, and Applications, pp. 1753–1780. IGI Global (2017).

    Google Scholar 

  9. Sahu, K.K., Sahu, S.R., Nayak, S.C., Behera, H.S.: Forecasting foreign exchange rates using CRO based different variants of FLANN and performance analysis. Int. J. Comput. Syst. Eng. 2(4), 190–208 (2016)

    Article  Google Scholar 

  10. Nayak, S.C.: Development and performance evaluation of adaptive hybrid higher order neural networks for exchange rate prediction. Int. J. Intell. Syst. Appl. 10(8), 71 (2017)

    Google Scholar 

  11. Nayak, S.C., Misra, B.B., Behera, H.S.: Fluctuation prediction of stock market index by adaptive evolutionary higher order neural networks. Int. J. Swarm Intell. 2(2–4), 229–253 (2016)

    Google Scholar 

  12. Knowles, A., Hussain, A., Deredy, W.E., Lisboa, P.G.J., Dunis, C.: Higher-order neural network with Bayesian confidence measure for prediction of EUR/USD exchange rate. In: Forecasting Financial Markets Conference, pp. 1–3, Marseilles, France (2005)

    Google Scholar 

  13. Giles, C.L., Maxwell, T.: Learning, invariance, and generalization in a high-order neural network. Appl. Opt. 26(23), 4972–4978 (1987)

    Article  Google Scholar 

  14. Durbin, R., Rumelhart, D.E.: Product units: a computationally powerful and biologically plausible extension to back propagation networks. Neural Comput. 1(1), 133–142 (1989)

    Article  Google Scholar 

  15. Shin, Y., Ghosh, J.: The pi-sigma network: an efficient higher-order neural network for pattern classification and function approximation. In: International Joint Conference on Neural Networks (1991)

    Google Scholar 

  16. Ghazali, R., Hussain, A., El-Deredy, W.: Application of ridge polynomial neural networks to financial time series prediction. In: 2006 International Joint Conference on Neural Networks, pp. 913–920 (2006)

    Google Scholar 

  17. Yong, N., Wei, D.: A hybrid genetic learning algorithm for Pi-Sigma neural network and the analysis of its convergence. In: IEEE Fourth International Conference on Natural Computation, pp. 19–23 (2008)

    Google Scholar 

  18. Epitropakis, M.G., Plagianakos, V.P., Vrahatis, M.N.: Hardware-friendly higher-order neural network training using distributed evolutionary algorithms. Appl. Soft Comput. 10, 398–408 (2010)

    Article  Google Scholar 

  19. Fallahnezhad, M., Moradi, M.H., Zaferanlouei, S.: A hybrid higher order neural classifier for handling classification problems. Expert Syst. Appl. 38, 386–393 (2011)

    Article  Google Scholar 

  20. Zhang, M., Xu, S., Fulcher, J.: Neuron-adaptive higher order neural-network models for automated financial data modelling. IEEE Trans. Neural Netw. 13(1) (2002)

    Google Scholar 

  21. Husaini, N.A., Ghazali, R., Nawi, N.M., ISMAIL, L.H., Deris, M.M., Herawan, T.: Pi-Sigma neural network for a one-step-ahead temperature forecasting. Int. J. Comput. Intell. Appl. 13(04), 1450023 (2014)

    Article  Google Scholar 

  22. Nie, Y., Deng, W.: A hybrid genetic learning algorithm for Pi-sigma neural network and the analysis of its convergence. In 2008 Fourth International Conference on Natural Computation, vol. 3, pp. 19–23. IEEE (2008)

    Google Scholar 

  23. Hussain, A.J., Liatsis, P.: Recurrent pi-sigma networks for DPCM image coding. Neurocomputing 55(1–2), 363–382 (2003)

    Google Scholar 

  24. Hussain, A.J., Liatsis, P., Tawfik, H., Nagar, A.K., Al-Jumeily, D.: Physical time series prediction using recurrent pi-sigma neural networks. Int. J. Artif. Intell. Soft Comput. 1(1), 130–145 (2008)

    Article  Google Scholar 

  25. Hussain, A.J., Knowles, A., Lisboa, P.J., El-Deredy, W.: Financial time series prediction using polynomial pipelined neural networks. Expert Syst. Appl. 35(3), 1186–1199 (2008)

    Article  Google Scholar 

  26. Yadav, R.N., Kalra, P.K., John, J.: Time series prediction with single multiplicative neuron model. Appl. Soft Comput. 7(4), 1157–1163 (2007)

    Article  Google Scholar 

  27. Pao, Y.H.: Adaptive Pattern Recognition and Neural Networks. Addison-Wesley, Reading, MA (1989)

    MATH  Google Scholar 

  28. Pao, Y.H., Takefuji, Y.: Functional-link net computing: thory, system architecture, and functionalities. Computer 25, 76–79 (1992)

    Article  Google Scholar 

  29. Patra, J.C., Bos, A.V.D.: Modeling of an intelligent pressure sensor using functional link artificial neural networks. ISA Trans. 39, 15–27 (2000). Elsevier

    Google Scholar 

  30. Patra, J.C., Kim, W., Meher, P.K., Ang, E.L.: Financial prediction of major indices using computational efficient artificial neural networks. IJCNN, 2114–2120 (2006). Vancouver, Canada

    Google Scholar 

  31. Majhi, R., Panda, G., Sahoo, G.: Development and performance evaluation of FLN based model for forecasting of stock markets. Expert Syst. Appl. 36, 6800–6808 (2009)

    Article  Google Scholar 

  32. Mishra, B.B., Dehuri, S.: Functional link artificial neural network for classification task in data mining. J. Comput. Sci. 3, 948–955 (2007)

    Article  Google Scholar 

  33. Mishra, B.B., Dehuri, S., Panda, G., Dash, P.K.: Fuzzy swarm net (FSN) for classification in data mining. CSI J. Comput. Sci. Eng. 5, 1–8 (2008)

    Google Scholar 

  34. Dehuri, S., Cho, S.B.: Evolutionarily optimized features in functional link neural network for classification. Expert Syst. Appl. 37, 4379–4391 (2010a)

    Google Scholar 

  35. Dehuri, S., Cho, S.B.: A hybrid genetic based functional link artificial neural network with a statistical comparison of classifiers over multiple datasets. Neural Comput. Appl. 19, 317–328 (2010)

    Article  Google Scholar 

  36. Majhi, R., Majhi, B., Panda, G.: Development and performance evaluation of neural network classifiers for Indian internet shoppers. Expert Syst. Appl. 39, 2112–2118 (2012)

    Article  Google Scholar 

  37. Purwar, S., Kar, I.N., Jha, A.N.: On-line system identification of complex systems using Chebyshev neural networks. Appl. Soft Comput. 7, 364–372 (2007)

    Article  Google Scholar 

  38. Patra, J.C., Pal, R.N., Chatterji, B.N., Panda, G.: Identification of nonlinear dynamic systems using functional link artificial neural networks. IEEE Trans. Syst. Man Cybern. B Cybern. 29(2), 254–262 (1999)

    Article  Google Scholar 

  39. Lee, T.T., Jeng, J.T.: The chebyshev polynomial based unified model neural networks for function approximations. IEEE Trans. Syst. Man Cybern. B 28, 925–935 (1998)

    Article  Google Scholar 

  40. Yang, S.S., Tseng, C.S.: An orthonormal neural network for function approximation. IEEE Trans. Syst. Man Cybern. 26, 779–784 (1996)

    Article  Google Scholar 

  41. Patra, J.C., Pal, R.N., Baliarsingh, R., Panda, G.: Nonlinear channel equalization for QAM signal constellation using artificial neural networks. IEEE Trans. Syst. Man Cybern. B Cybern. 29(2), 262–271 (1999)

    Article  Google Scholar 

  42. Patra, J.C., Panda, G., Baliarsingh, R.: Artificial neural network based nonlinearity estimation of pressure sensors. IEEE Trans. Instrum. Meas. 43(6), 874–881 (1994)

    Article  Google Scholar 

  43. Nayak, S.C., Misra, B.B., Behera, H.S.: ACFLN: artificial chemical functional link network for prediction of stock market index. Evol. Syst. 1–26 (2018)

    Google Scholar 

  44. Dehuri, S., Roy, R., Cho, S.B., Ghosh, A.: An improved swarm optimized functional link artificial neural network (ISO-FLANN) for classification. J. Syst. Softw. 85(6), 1333–1345 (2012)

    Article  Google Scholar 

  45. Mili, F., Hamdi, M.: A hybrid evolutionary functional link artificial neural network for data mining and classification. In: 2012 6th International Conference on Sciences of Electronics, Technologies of Information and Telecommunications (SETIT), pp. 917–924. IEEE (2012)

    Google Scholar 

  46. Patra, J.C., Bornand, C., Meher, P.K.: Laguerre neural network-based smart sensors for wireless sensor networks. In: 2009 IEEE Instrumentation and Measurement Technology Conference, pp. 832–837. IEEE (2009)

    Google Scholar 

  47. Mishra, S.K., Panda, G., Meher, S.: Chebyshev functional link artificial neural networks for denoising of image corrupted by salt and pepper noise. Int. J. Recent Trends Eng. 1(1), 413 (2009)

    Google Scholar 

  48. Li, M., Liu, J., Jiang, Y., Feng, W.: Complex-Chebyshev functional link neural network behavioral model for broadband wireless power amplifiers. IEEE Trans. Microw. Theory Tech. 60(6), 1979–1989 (2012)

    Article  Google Scholar 

  49. Nanda, S.K., Tripathy, D.P., & Mahapatra, S.S.: Application of Legendre Neural Network for Air Quality Prediction (2011)

    Google Scholar 

  50. Das, K.K., Satapathy, J.K.: Legendre neural network for nonlinear active noise cancellation with nonlinear secondary path. In: 2011 International Conference on Multimedia, Signal Processing and Communication Technologies, pp. 40–43. IEEE (2011)

    Google Scholar 

  51. Patra, J.C., Bornand, C.: Nonlinear dynamic system identification using Legendre neural network. In: The 2010 International Joint Conference on Neural Networks (IJCNN), pp. 1–7. IEEE (2010)

    Google Scholar 

  52. Goldberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning. Addison Wesley (1989)

    MATH  Google Scholar 

  53. Holland, J.: Adaptation in Natural and Artificial Systems. The University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  54. Karci, A., Arslan, A.: Uniform population in genetic algorithms IU. J. Electr. Electron. 2(2), 495–504 (2002)

    Google Scholar 

  55. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, Perth, Australia, pp. 1942–1948 (1995).

    Google Scholar 

  56. Eberhart, R.C., Simpson, P., Dobbins, R.: Computational Intelligence PC Tools. Academic Press (1996)

    Google Scholar 

  57. Babaei, M.: A general approach to approximate solutions of nonlinear differential equations using particle swarm optimization. Appl. Soft. Comput 13, 3354–3365 (2013)

    Article  Google Scholar 

  58. Lam, A.Y., Li, V.O.: Chemical-reaction-inspired metaheuristic for optimization. IEEE Trans. Evol. Comput. 14(3), 381–399 (2010)

    Article  Google Scholar 

  59. Alatas, B.: A novel chemistry based metaheuristic optimization method for mining of classification rules. Expert Syst. Appl. 39(12), 11080–11088 (2012)

    Article  Google Scholar 

  60. Nayak, S.C., Misra, B.B., Behera, H.S.: Artificial chemical reaction optimization of neural networks for efficient prediction of stock market indices. Ain Shams Eng. J. (2015)

    Google Scholar 

  61. Nayak, J., Paparao, S., Naik, B., Seetayya, N., Pradeep, P., Behera, H.S., Pelusi, D.: Chemical reaction optimization: a survey with application and challenges. In: Soft Computing in Data Analytics, pp. 507–524. Springer, Singapore (2019)

    Google Scholar 

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Nayak, S.C., Misra, B.B., Dehuri, S. (2022). Hybridization of the Higher Order Neural Networks with the Evolutionary Optimization Algorithms—An Application to Financial Time Series Forecasting. In: Dehuri, S., Chen, YW. (eds) Advances in Machine Learning for Big Data Analysis. Intelligent Systems Reference Library, vol 218. Springer, Singapore. https://doi.org/10.1007/978-981-16-8930-7_5

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