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Paper Abstract and Keywords
Presentation 2010-03-10 15:15
Discrete Time Inverse Function Delayed Network with Higher-Order Connections
Takahiro Sota, Koji Kurose (Tohoku Univ.), Yoshihiro Hayakawa (Sendai Nat Coll. of Tech.), Shigeo Sato, Koji Nakajima (Tohoku Univ.) NLP2009-181
Abstract (in Japanese) (See Japanese page) 
(in English) The Inverse function Delayed network with higher-order connection (HCID network) has been proposed to solve combinatorial optimization problems by using Inverse function Delayed Model, which is one of the neuron models. The HCID network has quartic energy function.This quartic energy function is useful for solving the combinatorial optimization problems, because the equilibrium points of optimal solution states (the global minimum states) are correspond to vertexes of output space. Hence the HCID network can converges to only optimal solutions by destabilizing the network states except the vertexes of the output space with the negative resistance effects of the Inverse function Delayed model. However, the iteration times of simulation increase with increasing the higher-order connection, so it is necessary to use a hardware network to solve big size problems.
In this report, therefore, we propose the discrete time HCID network as the preparation of hardware implementation. Moreover it is shown that this discrete time HCID network operates in the same way as the continuous time network.
Keyword (in Japanese) (See Japanese page) 
(in English) Neural network / Combinatorial optimization problem / Higher-order synaptic connection / Energy function / Negative resistance / / /  
Reference Info. IEICE Tech. Rep., vol. 109, no. 458, NLP2009-181, pp. 131-136, March 2010.
Paper # NLP2009-181 
Date of Issue 2010-03-02 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2009-181

Conference Information
Committee NLP  
Conference Date 2010-03-09 - 2010-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2010-03-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Discrete Time Inverse Function Delayed Network with Higher-Order Connections 
Sub Title (in English)  
Keyword(1) Neural network  
Keyword(2) Combinatorial optimization problem  
Keyword(3) Higher-order synaptic connection  
Keyword(4) Energy function  
Keyword(5) Negative resistance  
1st Author's Name Takahiro Sota  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Koji Kurose  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Yoshihiro Hayakawa  
3rd Author's Affiliation Sendai National College of Technology (Sendai Nat Coll. of Tech.)
4th Author's Name Shigeo Sato  
4th Author's Affiliation Tohoku University (Tohoku Univ.)
5th Author's Name Koji Nakajima  
5th Author's Affiliation Tohoku University (Tohoku Univ.)
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Date Time 2010-03-10 15:15:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2009-181 
Volume (vol) IEICE-109 
Number (no) no.458 
Page pp.131-136 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2010-03-02 

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