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Can backpropagation error surface not have local minima

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

It is shown theoretically that for an arbitrary T-element training set with t(tT) 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:

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