| Presentation | 2016-11-16 Inference of Classical Spin Model by Multidimensional Multiple Histogram Method Hikaru Takenaka, Kenji Nagata, Takashi Mizokawa, Masato Okada, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a novel method for effective Bayesian inference of classical spin model by the multidimensional multiple histogram method. The multidimensional multiple histogram method enables us to reconstruct not only the density of energies but also that of information about spin configurations simultaneously. We use sampling data from the exchange Monte Carlo method for the electronic structure calculation in a triangular lattice system. Consequently, we can reconstruct the result of parameter calculation and selection of classical spin model only by sampling of one-tenth or less of all configurations. This result suggests that our method can be used generically for extension of exchange Monte Carlo method and application to larger system. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | multiple histogram method / Bayesian inference / exchange Monte Carlo method / model selection |
| Paper # | IBISML2016-61 |
| Date of Issue | 2016-11-09 (IBISML) |
| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2016/11/16(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyoto Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information-Based Induction Science Workshop (IBIS2016) |
| Chair | Kenji Fukumizu(ISM) |
| Vice Chair | Masashi Sugiyama(Univ. of Tokyo) / Hisashi Kashima(Kyoto Univ.) |
| Secretary | Masashi Sugiyama(Univ. of Tokyo) / Hisashi Kashima(Nagoya Inst. of Tech.) |
| Assistant | Toshihiro Kamishima(AIST) / Tomoharu Iwata(NTT) |
| Paper Information | |
| Registration To | Technical Committee on Infomation-Based Induction Sciences and Machine Learning |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Inference of Classical Spin Model by Multidimensional Multiple Histogram Method |
| Sub Title (in English) | |
| Keyword(1) | multiple histogram method |
| Keyword(2) | Bayesian inference |
| Keyword(3) | exchange Monte Carlo method |
| Keyword(4) | model selection |
| 1st Author's Name | Hikaru Takenaka |
| 1st Author's Affiliation | The University of Tokyo(UTokyo) |
| 2nd Author's Name | Kenji Nagata |
| 2nd Author's Affiliation | The University of Tokyo/National Institute of Advanced Industrial Science and Technology/Japan Science and Technology Agency(UTokyo/AIST/JST) |
| 3rd Author's Name | Takashi Mizokawa |
| 3rd Author's Affiliation | Waseda University(Waseda Univ.) |
| 4th Author's Name | Masato Okada |
| 4th Author's Affiliation | The University of Tokyo/RIKEN(UTokyo/RIKEN) |
| Date | 2016-11-16 |
| Paper # | IBISML2016-61 |
| Volume (vol) | vol.116 |
| Number (no) | IBISML-300 |
| Page | pp.pp.109-116(IBISML), |
| #Pages | 8 |
| Date of Issue | 2016-11-09 (IBISML) |