| Presentation | 2009-03-11 Network analysis based on statistical-thermodynamics formalism Syuji MIYAZAKI, Taro TAKAGUCHI, Kei EJIMA, Mika IZUO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A real social networking service consisting of 2271 nodes is analyzed on the basis of the statistical-thermodynamics formalism to find phase transitions in network structure. Each phase can be related to a characteristic local structure of the network such as a cluster or a hub. For this purpose, the generalized transition matrix or the generalized Frobenius-Perron operator is introduced, whose largest eigenvalue yields statistical structure functions. The weighted probability related to the Gibbs probability measure, which turn out to be useful to extract characteristic local structures, is obtained from the right and left eigenvectors corresponding to the largest eigenvalue. Graph drawing algorithms based on this weighted probability are also suggested. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | large deviation statistics / statistical-thermodynamics formalism / Frobenius-Perron operator / transition matrix / Gibbs probability measure / social networking service / graph theory / chaotic dynamical system |
| Paper # | NLP2008-165 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 2009/3/3(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Network analysis based on statistical-thermodynamics formalism |
| Sub Title (in English) | |
| Keyword(1) | large deviation statistics |
| Keyword(2) | statistical-thermodynamics formalism |
| Keyword(3) | Frobenius-Perron operator |
| Keyword(4) | transition matrix |
| Keyword(5) | Gibbs probability measure |
| Keyword(6) | social networking service |
| Keyword(7) | graph theory |
| Keyword(8) | chaotic dynamical system |
| 1st Author's Name | Syuji MIYAZAKI |
| 1st Author's Affiliation | Graduate School of Informatics, Kyoto University() |
| 2nd Author's Name | Taro TAKAGUCHI |
| 2nd Author's Affiliation | Graduate School of Informatics, Kyoto University |
| 3rd Author's Name | Kei EJIMA |
| 3rd Author's Affiliation | Graduate School of Informatics, Kyoto University |
| 4th Author's Name | Mika IZUO |
| 4th Author's Affiliation | Graduate School of Informatics, Kyoto University |
| Date | 2009-03-11 |
| Paper # | NLP2008-165 |
| Volume (vol) | vol.108 |
| Number (no) | 477 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |