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| Presentation | 2017-07-14 15:35 Asymptotic Exponential Family of Markov Sources is Equivalent to Exponential Family of Markov Kernels Jun'ichi Takeuchi (Kyushu Univ.), Hiroshi Nagaoka (UEC)  IT2017-36 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | For familes of Markov models, we prove that the notion of asymptotic exponential familly is equivalent to the notion of exponential family of Markov kernels. The former was introduced by Takeuchi and Barron ('98) for families of general stochastic processes, inspired by the exponential family of Markov chains discoverd by Ito and Amari ('88), while the latter was introduced by Nakagawa and Kanaya (`93) for one-dimensional case based on the discussion by Ito and Amari ('88) and later the general form was introduced by Nagaoka ('05). | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Markov source / exponential family / / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 120, IT2017-36, pp. 115-119, July 2017. | |
| Paper # | IT2017-36 | |
| Date of Issue | 2017-07-06 (IT) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | IT2017-36 |
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| Conference Information | |
| Committee | IT |
| Conference Date | 2017-07-13 - 2017-07-14 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Chiba University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | freshman session, general |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2017-07-IT |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Asymptotic Exponential Family of Markov Sources is Equivalent to Exponential Family of Markov Kernels |
| Sub Title (in English) | |
| Keyword(1) | Markov source |
| Keyword(2) | exponential family |
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| 1st Author's Name | Jun'ichi Takeuchi |
| 1st Author's Affiliation | Kyushu University (Kyushu Univ.) |
| 2nd Author's Name | Hiroshi Nagaoka |
| 2nd Author's Affiliation | University of Electro-Communications (UEC) |
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| Speaker | Author-1 |
| Date Time | 2017-07-14 15:35:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2017-36 |
| Volume (vol) | vol.117 |
| Number (no) | no.120 |
| Page | pp.115-119 |
| #Pages | 5 |
| Date of Issue | 2017-07-06 (IT) |
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