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Browse Journals & Magazines > Neural Networks, IEEE Transac ...> Volume:3 Issue:6 Help

Can backpropagation error surface not have local minima

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1 Author(s)
Xiao-Hu Yu ; Dept. of Radio Eng., Southeast Univ., Nanjing, China

It is shown theoretically that for an arbitrary T-element training set with t(t⩽T) different inputs, the backpropagation error surface does not have suboptimal local minima if the network is capable of exactly implementing an arbitrary training set consisting of t different patterns. As a special case, the error surface of a backpropagation network with one hidden layer and t-1 hidden units has no local minima, if the network is trained by an arbitrary T-element set with t different inputs

Published in:
Neural Networks, IEEE Transactions on  (Volume:3 ,  Issue: 6 )

Date of Publication: Nov 1992

Page(s):
1019 - 1021
ISSN :
1045-9227
INSPEC Accession Number:
4322845
Digital Object Identifier :
10.1109/72.165604
Product Type:
Journals & Magazines
Date of Current Version :
06 August 2002
Issue Date :
Nov 1992
Sponsored by :
IEEE Computational Intelligence Society

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