Original Contribution: A learning algorithm for multilayered neural networks based on linear least squares problems

  • Authors:
  • Friedrich Biegler-König;Frank Bärmann

  • Affiliations:
  • Fachhochschule Hannover, Germany;Bayer Ag, Germany

  • Venue:
  • Neural Networks
  • Year:
  • 1993

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Abstract

An algorithm for the training of multilayered neural networks solely based on linear algebraic methods is presented. Its convergence speed up to a certain limit of learning accuracy is orders of magnitude better than that of the classical back propagation. Furthermore, its learning aptitude increases with the number of internal nodes in the network (contrary to backprop). Especially if the network includes a hidden layer with more nodes than the number of examples to be learned and if the number of nodes in succeeding layers decreases monotonically, the presented algorithm in general finds an exact solution.