Presentation 1996/3/19
A Study on Relations between Internal Representation and Generalization Ability of Multi Layered Neural Networks for Function Approximation Problems
Eiji Watanabe,
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Abstract(in English) This report discusses the relation between internal representations and generalization ability of multi layered neural networks for function approximation problems. Here, the over learning problem, which makes the generalization ability poor, is divided into the two problems; the excessive degrees of freedom and the non-uniqueness of weights. These problems are carefully discussed from the view point of internal representation; weights and outputs or hidden units. First, the excessive degrees of freedom problem is discussed by introducing the entropy for weights. Next, the non-uniqueness of weights problem is also discussed by introducing the principal components analysis method. Finally, the relations between internal representations and generalization ability of multi layered neural networks are concretely discussed by numerical results.
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Keyword(in English) Multi layered neural network / function approximation problem / internal representation / generalization ability / over learning
Paper # NC95-164
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Committee NC
Conference Date 1996/3/19(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) A Study on Relations between Internal Representation and Generalization Ability of Multi Layered Neural Networks for Function Approximation Problems
Sub Title (in English)
Keyword(1) Multi layered neural network
Keyword(2) function approximation problem
Keyword(3) internal representation
Keyword(4) generalization ability
Keyword(5) over learning
1st Author's Name Eiji Watanabe
1st Author's Affiliation Department of Information Processing Engineering Faculty of Engineering, Fukuyama University()
Date 1996/3/19
Paper # NC95-164
Volume (vol) vol.95
Number (no) 599
Page pp.pp.-
#Pages 8
Date of Issue