DocumentCode
1527452
Title
A local minimum for the 2-3-1 XOR network
Author
Sprinkhuizen-Kuyper, Ida G. ; Boers, Egbert J W
Author_Institution
Dept. of Comput. Sci., Leiden Univ., Netherlands
Volume
10
Issue
4
fYear
1999
fDate
7/1/1999 12:00:00 AM
Firstpage
968
Lastpage
971
Abstract
It was assumed proven that two-layer feedforward neural networks with t-1 hidden nodes, when presented with t input patterns, can not have any suboptimal local minima on the error surface. In this paper, however, we shall give a counterexample to this assumption. This counterexample consists of a region of local minima with nonzero error on the error surface of a neural network with three hidden nodes when presented with four patterns (the XOR problem). We will also show that the original proof is valid only when an unusual definition of local minimum is used
Keywords
feedforward neural nets; minimisation; multilayer perceptrons; 2-3-1 XOR network; EXOR network; nonzero error; suboptimal local minima; two-layer feedforward neural networks; Computer errors; Computer science; Feedforward neural networks; Neural networks; Transfer functions;
fLanguage
English
Journal_Title
Neural Networks, IEEE Transactions on
Publisher
ieee
ISSN
1045-9227
Type
jour
DOI
10.1109/72.774274
Filename
774274
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