On-line learning with adaptive back-propagation in two-layer networks

West, Ansgar H.L. and Saad, David (1997). On-line learning with adaptive back-propagation in two-layer networks. Physical Review E, 56 (3), pp. 3426-3445.

Abstract

An adaptive back-propagation algorithm parameterized by an inverse temperature 1/T is studied and compared with gradient descent (standard back-propagation) for on-line learning in two-layer neural networks with an arbitrary number of hidden units. Within a statistical mechanics framework, we analyse these learning algorithms in both the symmetric and the convergence phase for finite learning rates in the case of uncorrelated teachers of similar but arbitrary length T. These analyses show that adaptive back-propagation results generally in faster training by breaking the symmetry between hidden units more efficiently and by providing faster convergence to optimal generalization than gradient descent.

Publication DOI: https://doi.org/10.1103/PhysRevE.56.3426
Divisions: Engineering & Applied Sciences > Mathematics
Additional Information: Copyright of the American Physical Society
Uncontrolled Keywords: adaptive back-propagation,algorithm,inverse temperature,gradient descent,on-line learning,neural networks,learning algorithms,Mathematical Physics,Physics and Astronomy(all),Condensed Matter Physics,Statistical and Nonlinear Physics
Published Date: 1997-09

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