| Presentation | 2014-07-17 α-divergence derived as the generalized rate function in Tsallis statistics Hiroki Suyari, Antonio M. Scarfone, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The generalized binomial distribution in Tsallis statistics (power-law system) is explicitly formulated from the precise q-Stirling's formula. The α-divergence (or q-divergence) is uniquely derived from the generalized binomial distribution in the sense that when α → -1 (i.e., q → 1) it recovers KL divergence obtained from the standard binomial distribution. Based on these combinatorial considerations, it is shown that α-divergence (or q-divergence) is appeared as the generalized rate function in the large deviation estimate in Tsallis statistics. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | α-divergence / generalized rate function / generalized binomial distribution / large deviation estimate / power-law system |
| Paper # | IT2014-16 |
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| Conference Information | |
| Committee | IT |
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| Conference Date | 2014/7/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Information Theory (IT) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | α-divergence derived as the generalized rate function in Tsallis statistics |
| Sub Title (in English) | |
| Keyword(1) | α-divergence |
| Keyword(2) | generalized rate function |
| Keyword(3) | generalized binomial distribution |
| Keyword(4) | large deviation estimate |
| Keyword(5) | power-law system |
| 1st Author's Name | Hiroki Suyari |
| 1st Author's Affiliation | Graduate School of Advanced Integration Science, Chiba University() |
| 2nd Author's Name | Antonio M. Scarfone |
| 2nd Author's Affiliation | Istituto dei Sistemi Complessi (ISC-CNR) |
| Date | 2014-07-17 |
| Paper # | IT2014-16 |
| Volume (vol) | vol.114 |
| Number (no) | 138 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |