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The application of ridge polynomial neural network to multi-step ahead financial time series prediction

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Abstract

Motivated by the slow learning properties of multilayer perceptrons (MLPs) which utilize computationally intensive training algorithms, such as the backpropagation learning algorithm, and can get trapped in local minima, this work deals with ridge polynomial neural networks (RPNN), which maintain fast learning properties and powerful mapping capabilities of single layer high order neural networks. The RPNN is constructed from a number of increasing orders of Pi–Sigma units, which are used to capture the underlying patterns in financial time series signals and to predict future trends in the financial market. In particular, this paper systematically investigates a method of pre-processing the financial signals in order to reduce the influence of their trends. The performance of the networks is benchmarked against the performance of MLPs, functional link neural networks (FLNN), and Pi–Sigma neural networks (PSNN). Simulation results clearly demonstrate that RPNNs generate higher profit returns with fast convergence on various noisy financial signals.

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References

  1. Leerink LR, Giles CL, Horne BG, Jabri MA (1995) Learning with product units. In: Tesaro G, Touretzky D, Leen T (eds) Advances in neural information processing systems 7, MIT Press, Cambridge, MA, pp 537–544

    Google Scholar 

  2. Lawrence S, Giles CL (2000) Overfitting and neural networks: conjugate gradient and back propagation. In: International joint conference on neural network, Italy, IEEE Computer Society, CA, pp 114–119

  3. Hellström T, Holmström K (1998) Predicting the stock market. Technical Report IMa-TOM-1997-07, Center of Mathematical Modeling, Department of Mathematics and Physis, Mälardalen University, Västeras, Sweden

  4. Dunis CL, Wiliams M (2002) Modeling and trading the UER/USD exchange rate: do neural network models perform better? In: Derivatives use, trading and regulation, vol 8, No. 3, pp 211–239

  5. Yao J, Tan CL (2000) A case study on neural networks to perform technical forecasting of forex. Neurocomputing 34:79–98

    Article  MATH  Google Scholar 

  6. Shachmurove Y, Witkowska D (2000) Utilizing artificial neural network model to predict stock markets. CARESS Working Paper #00–11

  7. Cass R, Radl B (1996) Adaptive process optimization using functional-link networks and evolutionary algorithm. Control Eng Pract 4(11):1579–1584

    Article  Google Scholar 

  8. Liatsis P, Hussain AJ (1999) Nonlinear one-dimensional DPCM image prediction using polynomial neural networks. In: Proc. SPIE, applications of artificial neural networks in image processing IV, San Jose, California, 28–29 January, vol 3647, pp 58–68

  9. Tawfik H, Liatsis P (1997) Prediction of non-linear time-series using higher-order neural networks. In: Proceeding IWSSIP’97 conference, Poznan, Poland

  10. Mirea L, Marcu T (2002) System identification using functional-link neural networks with dynamic structure. In: 15th Triennial world congress, Barcelona, Spain

  11. Shin Y, Ghosh J (1991) The Pi–Sigma networks: an efficient higher-order neural network for pattern classification and function approximation. In: Proceedings of international joint conference on neural networks, Seattle, Washington, July 1991, vol 1, pp 13–18

  12. Shin Y, Ghosh J (1992) Computationally efficient invariant pattern recognition with higher order Pi–Sigma networks. The University of Texas at Austin

  13. Kaita T, Tomita S, Yamanaka J (2002) On a higher-order neural network for distortion invariant pattern recognition. Pattern Recognit Lett 23:977–984

    Article  MATH  Google Scholar 

  14. Pau YH, Phillips SM (1995) The functional link net and learning optimal control. Neurocomputing 9:149–164

    Article  Google Scholar 

  15. Artyomov E, Pecht OY (2004) Modified high-order neural network for pattern recognition. Pattern Recognit Lett 26(6):843–851

    Article  Google Scholar 

  16. Giles CL, Maxwell T (1987) Learning, invariance and generalization in high-order neural networks. In: Applied optics, vol 26, no 23. Optical Society of America, Washington D.C., pp 4972–4978

    Google Scholar 

  17. Shin Y, Ghosh J (1995) Ridge polynomial networks. IEEE Trans Neural Netwo 6(3):610–622

    Article  Google Scholar 

  18. Voutriaridis C, Boutalis YS, Mertzios G (2003) Ridge polynomial networks in pattern recognition. EC-VIP-MC 2003. In: 4th EURASIP conference focused on video/image processing and multimedia communications, Croatia, pp 519–524

  19. Shin Y, Ghosh J (1992) Approximation of multivariate functions using ridge polynomial networks. In: Proceedings of international joint conference on neural networks, vol 2, pp 380–385

  20. Karnavas YL, Papadopoulos DP (2004) Excitation control of a synchronous machine using polynomial neural networks. J Electr Eng 55(7–8):169–179

    Google Scholar 

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

    Article  Google Scholar 

  22. Giles CL, Griffin RD, Maxwell T (1998) Encoding geometric invariances in HONN. American Institute of Physics, USA, pp 310–309

  23. Fei G, Yu YL (1994) A modified Sigma–Pi BP network with self-feedback and its application in time series analysis. In: Proceedings of the 5th international conference, vol 2243–508F, pp 508–515

  24. Thimm G (1995) Optimization of high order perceptron. Swiss federal Institute of Technology (EPFL)

  25. Ghosh J, Shin Y (1992) Efficient higher-order neural networks for function approximation and classification. Int J Neural Syst 3(4):323–350

    Article  Google Scholar 

  26. Shin Y, Ghosh J (1992) Computationally efficient invariant pattern recognition with higher order Pi–Sigma networks. The University of Texas at Austin

  27. Schmitt M (2001) On the complexity of computing and learning with multiplicative neural networks. Neural Comput 14:241–301

    Article  Google Scholar 

  28. Schwaerzel R (1996) Improving the prediction accuracy of financial time series by using multi-neural network systems and enhanced data preprocessing. Thesis, Master of Science, The University of Texas at San Antonio

  29. Knowles C, Hussain A, El Deredy W, Lisboa P (2005) Higher order neural networks for the prediction of financial time series. Forecasting Financial Markets, France

  30. Hyndman RJ (2005) Time series data library. Downloaded from: http://www-personal.buseco.monash.edu.au/∼hyndman/TSDL/. Accessed on September 2005. Original source from: McCleary and Hay, Applied time series analysis for the social sciences, 1980, Sage Publications

  31. Thomason M (1999) The practitioner method and tools. J Comput Intell Fin 7(3):36–45

    Google Scholar 

  32. Thomason M (1999) The practitioner method and tools. J Comput Intell Fin 7(4):35–45

    MathSciNet  Google Scholar 

  33. Cao LJ, Francis EHT (2003) Support vector machine with adaptive parameters in financial time series forecasting. IEEE Trans Neural Netw 14:6

    Article  Google Scholar 

  34. Haykin S (1999) Neural networks. A comprehensive foundation, 2nd edn. Prentice-Hall, New Jersey

    Google Scholar 

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Acknowledgments

The work of R. Ghazali is supported by Universiti Tun Hussein Onn (UTHM), Malaysia.

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Ghazali, R., Hussain, A.J., Liatsis, P. et al. The application of ridge polynomial neural network to multi-step ahead financial time series prediction. Neural Comput & Applic 17, 311–323 (2008). https://doi.org/10.1007/s00521-007-0132-8

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  • DOI: https://doi.org/10.1007/s00521-007-0132-8

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