1987

Generalization of Back-Propagation to Recurrent Neural Networks

Fernando J. Pineda

citations

Cite Score

50

AI summary

This paper introduces an adaptive neural network with asymmetric connections, generalizing the back-propagation algorithm to recurrent neural networks, and demonstrating its architectural simplicity compared to existing master/slave networks.

Main Contributions

  • Introduces an adaptive neural network with asymmetric connections.
  • Proposes a recurrent generalization of the back-propagation rule for adaptive synaptic weight modification.
  • Shows the network's architectural simplicity compared to the Lapedes and Farber master/slave network.
  • Derives a formal learning rule and an associated dynamical system for calculating error signals locally.
  • Verifies the algorithm's correctness using numerical experiments on XOR networks.

Abstract

An adaptive neural network with asymmetric connections is introduced. This network is related to the Hopfield network with graded neurons and uses a recurrent generalization of the 8 rule of Rumelhart, Hinton, and Williams to modify adaptively the synaptic weights. The new network bears a resemblance to the master/slave network of Lapedes and Farber, but it is architecturally simpler.

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References [8]

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M. Minsky, S. Papert - 1969

12 papers in library cite

D. E. Rumelhart, J. L. Mcclelland, P. R. Group - 1986

15 papers in library cite

M. A. Cohen, S. Grossberg - 1983

1 paper in library cites

S. I. Amari - 1972

1 paper in library cites

John S. Denker - 1986

1 paper in library cites

A. Lapedes, R. Farber - 1986

1 paper in library cites

J. J. Hopfield - 1984

1 paper in library cites

S. I. Amari - 1977

1 paper in library cites

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on January 23, 2026

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