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A fuzzy neighborhood-based training algorithm for feedforward neural networks

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Abstract

In this work we present a new hybrid algorithm for feedforward neural networks, which combines unsupervised and supervised learning. In this approach, we use a Kohonen algorithm with a fuzzy neighborhood for training the weights of the hidden layers and gradient descent method for training the weights of the output layer. The goal of this method is to assist the existing variable learning rate algorithms. Simulation results show the effectiveness of the proposed algorithm compared with other well-known learning methods.

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References

  1. Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representations by error propagation. Parallel distributed processing: explorations in the microstructures of cognition. MIT Press, 1:318–362

  2. Jacobs RA (1988) Increased rates of convergence through learning rate adaptation. Neural Netw 1:295–307

    Article  Google Scholar 

  3. Silva F, Almeida L (1990) Speeding-up backpropagation. In: Eckmiller R (ed) Advanced neural computers. North-Holland, Amsterdam, pp 151–156

    Google Scholar 

  4. Najim K, Chtourou M, Thibault J (1992) Neural network synthesis using learning automata. J Syst Eng 2(4):192–197

    Google Scholar 

  5. Zhang N, Wu W, Zheng G (2006) Convergence of gradient method with momentum for two-layer feedforward neural networks. IEEE Trans Neural Netw 17(2):522–525

    Article  Google Scholar 

  6. Bortoletti A, Di FIore C, Fanelli S, Zellini P (2003) A new class of quasi-newtonian methods for optimal learning in MLP-networks. IEEE Trans Neural Netw 14(2):263–273

    Article  Google Scholar 

  7. Lera G, Pinzolas M (2002) Neighborhood based Levenberg-Marquardt algorithm for neural network training. IEEE Trans Neural Netw 13(5):1200–1203

    Article  Google Scholar 

  8. Abid S, Fnaiech F, Najim M (2001) A fast feedforward training algorithm using a modified form of the standard backpropagation algorithm. IEEE Trans Neural Netw 12(2):424–430

    Article  Google Scholar 

  9. Nickolai SR (2000) The layer-wise method and the backpropagation hybrid approch to learning a feedforward neural network. IEEE Trans Neural Netw 11(2):295–305

    Article  Google Scholar 

  10. Oscar FR, Deniz E, Jose CP (2003) Accelerating the convergence speed of neural networks learning methods using least squares. In: Proceedings of ESANN’2003, Belgium, 23–25 April, pp 255–260

  11. Bilski J (2005) The UD RLS algorithm for training feedforward neural networks. Int J Appl Math Comput Sci 15(1):115–123

    MATH  Google Scholar 

  12. Leung CS, Tsoi AC, Chan LW (2001) Two regularizers for recursive least squared algorithm in feedforward multilayered neural networks. IEEE Trans Neural Netw 12(6):1314–1332

    Article  Google Scholar 

  13. Huntsberger TL, Ajjimarangsee P (1989) Parallel self organizing feature maps for unsupervised pattern recognition. Int J Gen Syst 16:357–372

    Article  Google Scholar 

  14. Bezdek JC, Tsao EC, Pal NR (1992) Fuzzy Kohonen clustering networks. In: Proceedings of IEEE international conference on fuzzy systems, March 1992, San Diego, pp 1035–1041

  15. Zweiri YH, Whidborne JF, Seneviratne LD (2003) Three-term backpropagation algorithm. Neurocomputing 50:305–318

    Article  MATH  Google Scholar 

  16. Sha D, Bajie BV (2002) An on line hybrid learning algorithm for multilayer perceptron in identification problems. Comput Electr Eng 28:587–598

    Article  MATH  Google Scholar 

  17. Liu P, Li H (2004) Efficient learning algorithms for three-layer regular feedforward fuzzy neural networks. IEEE Trans Neural Netw 15(3):545–558

    Article  MATH  Google Scholar 

  18. Ben Nasr M, Chtourou M (2006) A hybrid training algorithm for feedforward neural networks. Neural Process Lett 24(2):107–117

    Article  Google Scholar 

  19. Hornik K, Stinchcombe M, White H (1989) Multilayer feedforward networks are universal approximators. Neural Netw 2:359–366

    Article  Google Scholar 

  20. Kohonen T (1990) The self-organizing map. Proc IEEE 78(9):1464–1480

    Article  Google Scholar 

  21. Alexander GP, Benito F, Amir FA, Jayakumar M, Wei KT (1994) An accelerated learning algorithm for multilayer networks. IEEE Trans Neural Netw 5(3):493–497

    Article  Google Scholar 

  22. Mackey MC, Glass L (1977) Oscillation and chaos in physiological control system. Science 197:287–289

    Article  Google Scholar 

  23. Box GE, Jenkins GM (1970) Time series analysis, forecasting and control. Holden Day, San Francisco

    MATH  Google Scholar 

  24. Kim J (1999) Adaptive neuro-fuzzy inference system and their application to non linear dynamical system. Neural Netw 12:1301–1319

    Article  Google Scholar 

  25. Ben Nasr M, Chtourou M, A constructive hybrid training algorithm for feedforward neural networks. Submitted to Int J Syst Sci

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Correspondence to Mohamed Chtourou.

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Nasr, M.B., Chtourou, M. A fuzzy neighborhood-based training algorithm for feedforward neural networks. Neural Comput & Applic 18, 127–133 (2009). https://doi.org/10.1007/s00521-007-0165-z

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  • DOI: https://doi.org/10.1007/s00521-007-0165-z

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