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Paper Abstract and Keywords
Presentation 2010-08-02 09:50
A Calculation of Three Layer Neural Network Structures Approximating Multivariate Polynomials
Yuichi Nakamura (Anan Nat. Coll. of Tech.), Masahiro Nakagawa (Nagaoka Univ. of Tech.) CAS2010-34 NLP2010-50
Abstract (in Japanese) (See Japanese page) 
(in English) The function approximation theorem has been proved such that the suitably constructed feedforward neural networks can sufficiently approximate given continuous functions. However, the specific structures of feedforward networks approximating functions has not been treated in the function approximation theorem. In this report, a specific structure of three layer feedforward networks approximating multivariate polynomial functions is derived. The feedforward network has some system parameters such that the coupling coefficients between the neurons and the biases of the neurons. The structure of the feedforward network is determined by the parameters. The system parameters are systematically derived by the Taylor expansion of the activation function and by the matrix operation when the activation function is smooth. It can be expected that the three layer feedforward network structure obtained from the proposed method gives the effective information to learning algorithms of the neural networks.
Keyword (in Japanese) (See Japanese page) 
(in English) Feed-forward neural network / Structure calculation / Function approximation / Multivariate polynomial / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 166, NLP2010-50, pp. 11-16, Aug. 2010.
Paper # NLP2010-50 
Date of Issue 2010-07-26 (CAS, NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee NLP CAS  
Conference Date 2010-08-02 - 2010-08-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Naruto University of Education 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2010-08-NLP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Calculation of Three Layer Neural Network Structures Approximating Multivariate Polynomials 
Sub Title (in English)  
Keyword(1) Feed-forward neural network  
Keyword(2) Structure calculation  
Keyword(3) Function approximation  
Keyword(4) Multivariate polynomial  
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1st Author's Name Yuichi Nakamura  
1st Author's Affiliation Anan National College of Technology (Anan Nat. Coll. of Tech.)
2nd Author's Name Masahiro Nakagawa  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
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Speaker Author-1 
Date Time 2010-08-02 09:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # CAS2010-34, NLP2010-50 
Volume (vol) vol.110 
Number (no) no.165(CAS), no.166(NLP) 
Page pp.11-16 
#Pages 6 
Date of Issue 2010-07-26 (CAS, NLP) 

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