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Paper Abstract and Keywords
Presentation 2010-11-19 14:20
Solving Method of Conbinatorial Optimization Problems Based on Quartic Form Energy Function for Solving Larger Problems
Takahiro Sota (Tohoku Univ.), Yoshihiro Hayakawa (Sendai National College of Tech.), Shigeo Sato, Koji Nakajima (Tohoku Univ.) NLP2010-101
Abstract (in Japanese) (See Japanese page) 
(in English) We have proposed the Inverse function Delayed network with Higher order synaptic Connection (HC-ID network) to solve various combinatorial optimization problems such as the Traveling Salesman Problems (TSP) or the Quadratic Assignment Problems (QAP). We present a quartic form energy function for HC-ID networks, and the equilibrium points of optimal solution states and the others are separable on the energy function. Therefore the HC-ID network can destabilize any states except the optimal solution states, and we can obtain only optimal solutions. However, it is difficult to apply large size problems to the HC-ID network because the computer simulation requires much time to simulate the higher order connection. There in this report, we aim to simplify the HC-ID network to solve larger problems by introducing the idea of the limit model.
Keyword (in Japanese) (See Japanese page) 
(in English) Higher order connection / Traveling Salesman Problems / Quadratic Assignment Problems / Inverse function Delayed network / Hysteresis neuron / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 299, NLP2010-101, pp. 11-16, Nov. 2010.
Paper # NLP2010-101 
Date of Issue 2010-11-12 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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  
Conference Date 2010-11-19 - 2010-11-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku University (RIEC) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2010-11-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Solving Method of Conbinatorial Optimization Problems Based on Quartic Form Energy Function for Solving Larger Problems 
Sub Title (in English) * 
Keyword(1) Higher order connection  
Keyword(2) Traveling Salesman Problems  
Keyword(3) Quadratic Assignment Problems  
Keyword(4) Inverse function Delayed network  
Keyword(5) Hysteresis neuron  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Takahiro Sota  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Yoshihiro Hayakawa  
2nd Author's Affiliation Sendai National College of Technology (Sendai National College of Tech.)
3rd Author's Name Shigeo Sato  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
4th Author's Name Koji Nakajima  
4th Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2010-11-19 14:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2010-101 
Volume (vol) vol.110 
Number (no) no.299 
Page pp.11-16 
#Pages 6 
Date of Issue 2010-11-12 (NLP) 

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