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Paper Abstract and Keywords
Presentation 2017-01-26 15:00
Statistical mechanics of coherent Ising machine -- The case of ferromagnetic and finite loading Hopfield models --
Toru Aonishi (Tokyo Tech.), Kazushi Mimura (Hiroshima City Univ.), Shoko Utsunomiya (NII), Masato Okada (Univ. of Tokyo), Yoshihisa Yamamoto (NII/Stanford Univ.) NC2016-50
Abstract (in Japanese) (See Japanese page) 
(in English) The coherent Ising machine (CIM) is attracted attention as one of most effective Ising computing architecture for solving large scale optimization problems because of its multi-scalability and high-speed computation ability. There is a big difficulty to implement the Ising computation in the CIM because theories and techniques accumulated on the basis of classical thermodynamic equilibrium Ising spin systems cannot be directly applied to the CIM. We now have to reconstruct these to adapt to the CIM. Here we focus on the ferromagnetic model and the finite loading Hopfield model, which are canonical models having the common mathematical structure with almost all of other Ising computations. We derive macroscopic equations to capture non-equilibrium phase transitions in these models. Statistical mechanical methods developed here become the basis for constructing evaluation methods for other Ising computation models.
Keyword (in Japanese) (See Japanese page) 
(in English) coherent Ising machine / statistical mechanics / ferromagnetic model / Hopfield model / macroscopic equation / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 424, NC2016-50, pp. 13-18, Jan. 2017.
Paper # NC2016-50 
Date of Issue 2017-01-19 (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 NC2016-50

Conference Information
Committee NC NLP  
Conference Date 2017-01-26 - 2017-01-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Kitakyushu Foundation for the Advanement of Ind. Sci. and Tech. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Implementation of Neuro Computing,Analysis and Modeling of Human Science, etc 
Paper Information
Registration To NC 
Conference Code 2017-01-NC-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Statistical mechanics of coherent Ising machine 
Sub Title (in English) The case of ferromagnetic and finite loading Hopfield models 
Keyword(1) coherent Ising machine  
Keyword(2) statistical mechanics  
Keyword(3) ferromagnetic model  
Keyword(4) Hopfield model  
Keyword(5) macroscopic equation  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Toru Aonishi  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech.)
2nd Author's Name Kazushi Mimura  
2nd Author's Affiliation Hiroshima City University (Hiroshima City Univ.)
3rd Author's Name Shoko Utsunomiya  
3rd Author's Affiliation National Institute of Informatics (NII)
4th Author's Name Masato Okada  
4th Author's Affiliation The University of Tokyo (Univ. of Tokyo)
5th Author's Name Yoshihisa Yamamoto  
5th Author's Affiliation National Institute of Informatics/Stanford University (NII/Stanford Univ.)
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Speaker Author-1 
Date Time 2017-01-26 15:00:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2016-50 
Volume (vol) vol.116 
Number (no) no.424 
Page pp.13-18 
#Pages 6 
Date of Issue 2017-01-19 (NC) 

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