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Paper Abstract and Keywords
Presentation 2009-03-04 11:50
Solving Puzzle with Neural Network -- Hopfield Network can Solve Sudoku --
Akihiro Ohtani, Satoshi Matsuda (Nihon Univ) AI2008-88
Abstract (in Japanese) (See Japanese page) 
(in English) We show that Hopfield network can solve all the Sudoku puzzles we have attacked so far. Most of them are very difficult for us to solve. There have been many attempts at solving optimization problems and puzzles with Hopfield networks, however, they have resulted in unsatisfactory performance. So, although there is no proof, the perfect performance shown through simulations here is remarkable.
On the other hand, based on the insight that all intellectual activities of human beings are performed as optimization processes, we previously proposed Hopfield network models of decision making. Solving puzzles is also a typical intellectual activity. Some considerations are also made on the similarities and/or differences between human beings and Hopfield networks in problem solving abilities.
Keyword (in Japanese) (See Japanese page) 
(in English) Neural Network / Hopfield Network / Combinational Optimization Problem / Sudoku / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 456, AI2008-88, pp. 141-146, March 2009.
Paper # AI2008-88 
Date of Issue 2009-02-23 (AI) 
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 AI2008-88

Conference Information
Committee AI IPSJ-ICS JSAI-KBS  
Conference Date 2009-03-02 - 2009-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Laforet Zao Resort & Spa 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Socio System and Intelligence 
Paper Information
Registration To AI 
Conference Code 2009-03-AI-ICS-KBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Solving Puzzle with Neural Network 
Sub Title (in English) Hopfield Network can Solve Sudoku 
Keyword(1) Neural Network  
Keyword(2) Hopfield Network  
Keyword(3) Combinational Optimization Problem  
Keyword(4) Sudoku  
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1st Author's Name Akihiro Ohtani  
1st Author's Affiliation Nihon University (Nihon Univ)
2nd Author's Name Satoshi Matsuda  
2nd Author's Affiliation Nihon University (Nihon Univ)
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Speaker Author-1 
Date Time 2009-03-04 11:50:00 
Presentation Time 25 minutes 
Registration for AI 
Paper # AI2008-88 
Volume (vol) vol.108 
Number (no) no.456 
Page pp.141-146 
#Pages 6 
Date of Issue 2009-02-23 (AI) 

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