Skip to main content
Log in

An Adaptive Momentum Back Propagation (AMBP)

  • Articles
  • Published:
Neural Computing & Applications Aims and scope Submit manuscript

Abstract

An algorithm for fast minimum search is proposed, which achieves very satisfying performance harmonising the Vogl's and the Conjugate Gradient algorithms. Such effectiveness is achieved by making adaptive, in a very simple and satisfactory way, both the learning rate and the momentum term, and by executing controls and corrections both on the possible cost function increase and on moves opposite to the direction of the negative of the gradient. Thanks to these improvements, we can obtain a good scaling relationship in learning. As regards the real world context, a musical application showed favourable results: besides the good convergence speed, a high generalisation capability has been achieved, as confirmed both by subjective musical evaluations and by objective tests.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Rumelhart DE, McClelland JL. (Eds) Parallel Distributed Processing, MIT Press, Cambridge MA

  2. Rumelhart ER, Hinton GE, Williams RJ. Learning representations by back-propagating errors, Nature 1986;323: 533–536

    Google Scholar 

  3. Le Cun Y. A learning procedure for asymmetric network. In: Proceedings of Cognitiva, Paris, France, 1985; 599–604

  4. Parker DB. Learning-logic. Invention report, S81-64, file 1, Stanford University: Office of Technology Licensing

  5. Werbos PJ. Beyond Regression: New Tools for Prediction and Analysis in the Behavioral Sciences, Master thesis, Harvard University, 1974.

  6. Hecht-Nielsen R. Theory of the backpropagation neural network. In: Proceedings of the International Joint Conference on Neural Networks, San Diego, 1989, 593–605

  7. Mingolla E, Bullock D. Neurocomputing: foundation of research (book review), Neural Networks 1989;2: 405–409

    Google Scholar 

  8. Fletcher R, Reeves CM, Function minimization by conjugate gradients. Computer J 1964;7: 149–154

    Google Scholar 

  9. Bazaraa MS, Shetty CM. Non Linear Programming, Wiley, New York: 1979

    Google Scholar 

  10. Luenberger DG. Introduction to Linear and Nonlinear Programming, Second Edition, Addison-Wesley, Reading, MA, 1984

    Google Scholar 

  11. Battiti R. Accelerated backpropagation learning: two optimization methods. Complex System 1989;3: 331–342

    Google Scholar 

  12. Drago GP, Ridella S. Statistically controlled activation weight initialization (SCAWI). IEEE Trans Neural Network 1992;3 (4)

  13. Hertz J, Krogh A, Palmer GR. Introduction to the Theory of Neural Computation, Addison-Wesley, Reading, 1991

    Google Scholar 

  14. Kramer AH, Sangiovanni-Vincentelli A. Efficient parallel learning algorithms for neural networks. In: Advances in Neural Information Processing Systems, Morgan Kaufmann, San Mateo CA, 1989; 40–48

    Google Scholar 

  15. Fahlman SE. An empirical study of learning speed in back propagation networks. In: Proceedings of the Connectionist Models Summer School, Carnegie Mellon, CMU-CS-88-162, June 1988

  16. Vogl TPet al. Accelerating the convergence of the back-propatation method. Biol Cybern 1988;59: 257–263

    Google Scholar 

  17. Drago GP, Martini C, Morando M, Ridella S. A neural network for music composition. In: MH Hamza (Ed) Proceedings of the Tenth IASTED International Conference on Applied Informatics, Zurich, 1992; 211–214

  18. Arrigo P, Corana A, Guiliano F, Marconi L, Morando M, Ridella S, Rolando C, Scalia F. Neural networks: computer simulation and biomedical applications. In ER Caianiello (Ed) Proceedings of the Second Italian workshop on Parallel Architectures and Neural Networks, World Scientific, Singapore, 1990; 205–212

    Google Scholar 

  19. Marconi L, Scalia F, Ridella S, Arrigo P. An application of backpropagation to medical diagnosis. In: Proceedings of the International Conference on Neural Networks, Washington, DC 1988; 577

  20. Widrow B, Lehr MA. 30 years of adaptive neural networks: perceptron, madaline and backpropagation. Proc IEEE 1990;78: 1415–1442

    Google Scholar 

  21. Tesauro G, Janssens B. Scaling relationships in back-propagation learning. Complex System 1988;2: 39–44

    Google Scholar 

  22. Corana A, Rolando C, Ridella S. A highly efficient implementation of back-propagation algorithm on SIMD computers. In: JL Delhaye, E Gelembe (Eds) High Performance Computing, North Holland, Amsterdam, 1989; 181–190

    Google Scholar 

  23. Drago GP, Ridella S. A comparison between a SCAWI backpropagation and an improved cascade correlation. In: Proceedings of the VI Italian Workshop on Neural Nets; Wirn Vietri-93, World Scientific, Singapore, 1994; 212–217

    Google Scholar 

  24. Møller MF. A scaled conjugate gradient algorithm for fast supervised learning. Neural Networks 1993;6: 525–533

    Google Scholar 

  25. Johansson EM, Dowla FU, Goodman DM. Backpropagation learning for multi-layer feedforward neural networks using the conjugate gradient method. Int J Neural Syst 1991;2(4): 291–302

    Google Scholar 

  26. Battiti R. Optimization methods for back-propagation: automatic parameter tuning and faster convergence. In: IJNNC-90-Washington, DC, 1990; 593–596

  27. Fahlman SE, Lebiere C. The Cascade-Correlation Learning Architecture. Carnegie Mellon, CMU-CS-90-100, February 1990

  28. Fritzke B. Growing cell structures — a self-organizing network for unsupervised and supervised learning. Neural Networks 1994;7(9): 1441–1460

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Drago, G.P., Morando, M. & Ridella, S. An Adaptive Momentum Back Propagation (AMBP). Neural Comput & Applic 3, 213–221 (1995). https://doi.org/10.1007/BF01414646

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01414646

Keywords

Navigation