| Presentation | 2014-07-18 Geometry of Markov Chains, Finite State Machines, and Tree Models Jun'ichi TAKEUCHI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We discuss information geometrical aspects of models of Markov chains. It is known that the models of Markov chains defined by a strongly connected graph are exponential families in asymptotic sense. In this manuscript, we try to understand this fact in the view point of the embedding exponential curvature (e-curvature for short). In particular, we show that the e-curvature of the models of Markov chains defined by a strongly connected graph is of order O(1/n), where n is the data size. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | exponential family / Markov model / exponential connection |
| Paper # | IT2014-40 |
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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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| Paper Information | |
| 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) | Geometry of Markov Chains, Finite State Machines, and Tree Models |
| Sub Title (in English) | |
| Keyword(1) | exponential family |
| Keyword(2) | Markov model |
| Keyword(3) | exponential connection |
| 1st Author's Name | Jun'ichi TAKEUCHI |
| 1st Author's Affiliation | Faculty of Information Science and Electrical Engineering, Kyushu University() |
| Date | 2014-07-18 |
| Paper # | IT2014-40 |
| Volume (vol) | vol.114 |
| Number (no) | 138 |
| Page | pp.pp.- |
| #Pages | 6 |
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