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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Committee | IT |
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Conference Date | 2014/7/10(1days) |
Place (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) | 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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