| Presentation | 2006-07-04 On gradient flows of Tsallis relative entropy Atsumi OHARA, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Nonextensive statistical mechanics with Tsallis entropy is discussed from a view point of affine differential geometry. First we show the space of probabilities provided with the entropy has constant curvature using the notion of alpha conformal flatness. From this fact we secondly derive several interesting geometric properties including those of gradient flows for Tsallis relative entropy. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Tsallis relative entropy / statistical manifold / dual connections / gradient flow / constant curvature |
| Paper # | NLP2006-38 |
| Date of Issue |
| Conference Information | |
| Committee | NLP |
|---|---|
| Conference Date | 2006/6/27(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On gradient flows of Tsallis relative entropy |
| Sub Title (in English) | |
| Keyword(1) | Tsallis relative entropy |
| Keyword(2) | statistical manifold |
| Keyword(3) | dual connections |
| Keyword(4) | gradient flow |
| Keyword(5) | constant curvature |
| 1st Author's Name | Atsumi OHARA |
| 1st Author's Affiliation | Faculty of Engineering Science, Osaka University() |
| Date | 2006-07-04 |
| Paper # | NLP2006-38 |
| Volume (vol) | vol.106 |
| Number (no) | 136 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |