| Presentation | 2017-01-26 Statistical mechanics of coherent Ising machine Toru Aonishi, Kazushi Mimura, Shoko Utsunomiya, Masato Okada, Yoshihisa Yamamoto, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | coherent Ising machine / statistical mechanics / ferromagnetic model / Hopfield model / macroscopic equation |
| Paper # | NC2016-50 |
| Date of Issue | 2017-01-19 (NC) |
| Conference Information | |
| Committee | NC / NLP |
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| Conference Date | 2017/1/26(2days) |
| 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 |
| Chair | Shigeo Sato(Tohoku Univ.) / Hisato Fujisaka(Hiroshima City Univ.) |
| Vice Chair | Masafumi Hagiwara(Keio Univ.) / Masaharu Adachi(Tokyo Denki Univ.) |
| Secretary | Masafumi Hagiwara(Kyoto Sangyo Univ.) / Masaharu Adachi(Tokyo Inst. of Tech.) |
| Assistant | Hisanao Akima(Tohoku Univ.) / Yoshihisa Shinozawa(Keio Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Toshihiro Tachibana(Shonan Inst. of Tech.) |
| Paper Information | |
| Registration To | Technical Committee on Neurocomputing / Technical Committee on Nonlinear Problems |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2017-01-26 |
| Paper # | NC2016-50 |
| Volume (vol) | vol.116 |
| Number (no) | NC-424 |
| Page | pp.pp.13-18(NC), |
| #Pages | 6 |
| Date of Issue | 2017-01-19 (NC) |