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Paper Abstract and Keywords
Presentation 2013-03-13 10:40
Sufficient conditions for neural networks not to have critical points based on the hierarchical structure
Tohru Nitta (AIST) NC2012-135
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we attempt to implement neural networks (NN) that do not have the critical points based on the hierarchical structure. First, we derive the sufficient conditions for the real-valued and complex-valued
NNs not to have the critical points based on the hierarchical structure. Next, we construct the real-valued and complex-valued NNs that do not have the critical points based on the hierarchical structure by decomposing the high-dimensional NNs into the lower-dimensional NNs equivalent to the original high-dimensional NNs, as an application of the sufficient conditions.
Keyword (in Japanese) (See Japanese page) 
(in English) complex number / quaternion / Clifford algebra / critical point / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 480, NC2012-135, pp. 7-12, March 2013.
Paper # NC2012-135 
Date of Issue 2013-03-06 (NC) 
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)
Download PDF NC2012-135

Conference Information
Committee MBE NC  
Conference Date 2013-03-13 - 2013-03-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Tamagawa University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2013-03-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Sufficient conditions for neural networks not to have critical points based on the hierarchical structure 
Sub Title (in English)  
Keyword(1) complex number  
Keyword(2) quaternion  
Keyword(3) Clifford algebra  
Keyword(4) critical point  
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1st Author's Name Tohru Nitta  
1st Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
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Speaker Author-1 
Date Time 2013-03-13 10:40:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2012-135 
Volume (vol) vol.112 
Number (no) no.480 
Page pp.7-12 
#Pages 6 
Date of Issue 2013-03-06 (NC) 

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