메뉴 건너뛰기




Volumn 11, Issue 6, 1998, Pages 1059-1072

A modified back-propagation method to avoid false local minima

Author keywords

Annealing; Back propagation; False local minima; Premature saturation; Sigmoid derivative; Weight readjusting

Indexed keywords

BACKPROPAGATION; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; ERROR ANALYSIS; LEARNING SYSTEMS; SIMULATED ANNEALING;

EID: 0032144731     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(98)00087-2     Document Type: Article
Times cited : (53)

References (31)
  • 3
    • 0024866495 scopus 로고
    • On the approximate realization of continuous mapping by neural networks
    • Funahashi K. On the approximate realization of continuous mapping by neural networks. Neural Networks. 2:1989;183-192.
    • (1989) Neural Networks , vol.2 , pp. 183-192
    • Funahashi, K.1
  • 5
    • 0024880831 scopus 로고
    • Multilayer feedforward networks are universal approximators
    • Hornik K., Stinchcombe M., White H. Multilayer feedforward networks are universal approximators. Neural Networks. 2:1989;359-366.
    • (1989) Neural Networks , vol.2 , pp. 359-366
    • Hornik, K.1    Stinchcombe, M.2    White, H.3
  • 6
    • 85032752004 scopus 로고
    • Progress in supervised neural networks; What's new since Lippmann?
    • Hush D. R., Horne B. G. Progress in supervised neural networks; What's new since Lippmann? IEEE Signal Processing Magazine. 10:1993;8-39.
    • (1993) IEEE Signal Processing Magazine , vol.10 , pp. 8-39
    • Hush, D.R.1    Horne, B.G.2
  • 8
    • 0024124741 scopus 로고
    • Improving the learning rate of back-propagation with the gradient reuse algorithm
    • Piscataway, NJ: IEEE Press
    • Hush, D. R., & Salas, J. M. (1988). Improving the learning rate of back-propagation with the gradient reuse algorithm. In Proceedings of the IEEE Conference on Neural Networks (Vol. I, pp. 441-447). Piscataway, NJ: IEEE Press.
    • (1988) In Proceedings of the IEEE Conference on Neural Networks , vol.1 , pp. 441-447
    • Hush, D.R.1    Salas, J.M.2
  • 10
    • 0024137490 scopus 로고
    • Increased rate of convergence through learning rate adaptation
    • Jacobs R. A. Increased rate of convergence through learning rate adaptation. Neural Networks. 1:1988;295-307.
    • (1988) Neural Networks , vol.1 , pp. 295-307
    • Jacobs, R.A.1
  • 12
    • 0000670848 scopus 로고
    • Back propagation is sensitive to initial conditions
    • In R. P. Lippmann, J. E. Moody, & D. S. Tpuretzky (Eds.), San Mateo, CA: Morgan Kaufmann
    • Kolen, J. F., & Pollack, J. B. (1991). Back propagation is sensitive to initial conditions. In R. P. Lippmann, J. E. Moody, & D. S. Tpuretzky (Eds.), Advances in Neural Information Processing Systems 3 (pp. 860-867). San Mateo, CA: Morgan Kaufmann.
    • (1991) Advances in Neural Information Processing Systems , vol.3 , pp. 860-867
    • Kolen, J.F.1    Pollack, J.B.2
  • 13
    • 0002290223 scopus 로고
    • Efficient parallel learning algorithms for neural networks
    • In D. Touretzky (Ed.), San Mateo, CA: Morgan Kaufmann
    • Kramer, A. H., & Sangiovanni-Vincentelli, A. (1989). Efficient parallel learning algorithms for neural networks. In D. Touretzky (Ed.), Advances in Neural Information Processing Systems (pp. 40-48). San Mateo, CA: Morgan Kaufmann.
    • (1989) Advances in Neural Information Processing Systems , pp. 40-48
    • Kramer, A.H.1    Sangiovanni-Vincentelli, A.2
  • 14
    • 0025546365 scopus 로고
    • Classification of large set of handwritten characters using modified back propagation model
    • Piscataway, NJ: IEEE Press
    • Krzyzak, A., Dai, W., & Suen, C. Y. (1990). Classification of large set of handwritten characters using modified back propagation model. Proceedings of the International Joint Conference on Neural Networks (Vol. III, pp. 225-232). Piscataway, NJ: IEEE Press.
    • (1990) Proceedings of the International Joint Conference on Neural Networks , vol.3 , pp. 225-232
    • Krzyzak, A.1    Dai, W.2    Suen, C.Y.3
  • 15
    • 0024124324 scopus 로고
    • An algebraic projection analysis for optimal hidden units size and learning rates in back-propagation learning
    • Piscataway, NJ: IEEE Press
    • Kung, S. Y., & Hwang, J. N. (1988). An algebraic projection analysis for optimal hidden units size and learning rates in back-propagation learning. In Proceedings of the IEEE Conference on Neural Networks (Vol. I, pp. 363-370). Piscataway, NJ: IEEE Press.
    • (1988) In Proceedings of the IEEE Conference on Neural Networks , vol.1 , pp. 363-370
    • Kung, S.Y.1    Hwang, J.N.2
  • 16
    • 0027629411 scopus 로고
    • Paralleled hardware annealing for optimal solutions on electronic neural networks
    • Lee B. W., Sheu B. J. Paralleled hardware annealing for optimal solutions on electronic neural networks. IEEE Transactions on Neural Networks. 4:1993;588-599.
    • (1993) IEEE Transactions on Neural Networks , vol.4 , pp. 588-599
    • Lee, B.W.1    Sheu, B.J.2
  • 17
    • 0027226690 scopus 로고
    • An analysis of premature saturation in back propagation learning
    • Lee Y., Oh S. H., Kim M. W. An analysis of premature saturation in back propagation learning. Neural Networks. 6:1993;719-728.
    • (1993) Neural Networks , vol.6 , pp. 719-728
    • Lee, Y.1    Oh, S.H.2    Kim, M.W.3
  • 19
    • 0025536870 scopus 로고
    • Improving the learning speed of 2-layer neural networks by choosing initial values of the adaptive weights
    • Piscataway, NJ: IEEE Press
    • Nguyen, D., & Widrow, B. (1990). Improving the learning speed of 2-layer neural networks by choosing initial values of the adaptive weights. In Proceedings of the International Joint Conference on Neural Networks (Vol. III, pp. 21-26). Piscataway, NJ: IEEE Press.
    • (1990) In Proceedings of the International Joint Conference on Neural Networks , vol.3 , pp. 21-26
    • Nguyen, D.1    Widrow, B.2
  • 20
    • 0023602770 scopus 로고
    • Optimal algorithms for adaptive networks: Second order back propagation, second order direct propagation, and second order Hebbian learning
    • Piscataway, NJ: IEEE Press
    • Parker, D. B. (1987). Optimal algorithms for adaptive networks: second order back propagation, second order direct propagation, and second order Hebbian learning. In Proceedings of the IEEE Conference on Neural Networks (Vol. II, pp. 593-600). Piscataway, NJ: IEEE Press.
    • (1987) In Proceedings of the IEEE Conference on Neural Networks , vol.2 , pp. 593-600
    • Parker, D.B.1
  • 21
    • 0001406440 scopus 로고
    • A mean field theory learning algorithm for neural networks
    • Peterson C., Anderson J. R. A mean field theory learning algorithm for neural networks. Complex Systems. 1:1987;995-1019.
    • (1987) Complex Systems , vol.1 , pp. 995-1019
    • Peterson, C.1    Anderson, J.R.2
  • 22
  • 23
    • 0025841422 scopus 로고
    • Rescaling of variables in back propagation learning
    • Rigler A. K., Irvine J. M., Vogl T. P. Rescaling of variables in back propagation learning. Neural Networks. 4:1991;225-229.
    • (1991) Neural Networks , vol.4 , pp. 225-229
    • Rigler, A.K.1    Irvine, J.M.2    Vogl, T.P.3
  • 24
    • 0022471098 scopus 로고
    • Learning representations by back-propagating errors
    • Rumelhart D. E., Hinton G. E., Williams R. J. Learning representations by back-propagating errors. Nature. 323:1986;533-536.
    • (1986) Nature , vol.323 , pp. 533-536
    • Rumelhart, D.E.1    Hinton, G.E.2    Williams, R.J.3
  • 25
    • 0026711368 scopus 로고
    • Improving the convergence of the back-propagation algorithm
    • van Ooyen A., Nienhuis B. Improving the convergence of the back-propagation algorithm. Neural Networks. 5:1992;465-471.
    • (1992) Neural Networks , vol.5 , pp. 465-471
    • Van Ooyen, A.1    Nienhuis, B.2
  • 27
    • 0023541050 scopus 로고
    • Learning algorithms for connectionist networks: Applied gradient methods of nonlinear optimization
    • Piscataway, NJ: IEEE Press
    • Watrous, R. L., (1987). Learning algorithms for connectionist networks: applied gradient methods of nonlinear optimization. In Proceedings of the IEEE Conference on Neural Networks (Vol. II, pp. 619-627). Piscataway, NJ: IEEE Press.
    • (1987) In Proceedings of the IEEE Conference on Neural Networks , vol.2 , pp. 619-627
    • Watrous, R.L.1
  • 28
    • 0025724253 scopus 로고
    • A method for self-determination of adaptive learning rates in back propagation
    • Weir M. K. A method for self-determination of adaptive learning rates in back propagation. Neural Networks. 4:1991;371-379.
    • (1991) Neural Networks , vol.4 , pp. 371-379
    • Weir, M.K.1
  • 29
    • 0026955395 scopus 로고
    • Avoiding false local minima by proper initialization of connections
    • Wessels L. F. A., Barnard E. Avoiding false local minima by proper initialization of connections. IEEE Transactions on Neural Networks. 3:1992;899-905.
    • (1992) IEEE Transactions on Neural Networks , vol.3 , pp. 899-905
    • Wessels, L.F.A.1    Barnard, E.2
  • 30
    • 0039849065 scopus 로고
    • Recent advances on techniques of static feedforward networks with supervised learning
    • Xu L., Klasa S., Yuille A. Recent advances on techniques of static feedforward networks with supervised learning. International Journal of Neural Systems. 3:1992;253-290.
    • (1992) International Journal of Neural Systems , vol.3 , pp. 253-290
    • Xu, L.1    Klasa, S.2    Yuille, A.3
  • 31


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.