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| Presentation | 2016-05-20 10:15 A Sharp Bound Between Two Arimoto's Conditional Renyi Entropies with Distinct Positive Orders Yuta Sakai, Ken-ichi Iwata (Univ. of Fukui)  IT2016-11 EMM2016-11 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In information theory, information measures for random variables, such as the Shannon entropy and the Rényi entropy, are fundamental amounts to mathematically examine communication systems. Besides their (unconditional) entropies, the concept of conditional entropies is commonly used to evaluate a sequence of correlated random variables. As fundamental techniques for analyzing mathematical models, bounds on these information measures are widely used in many fields, such as not only information theory but also statistics, pattern recognitions, machine learning, and cryptography. In this study, the conditional Rényi entropy proposed by Arimoto is discussed, and sharp bounds between two conditional Rényi entropies with distinct positive orders are examined. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | discrete probability distribution / Shannon entropy / Rényi entropy / Arimoto’s conditional Rényi entropy / expectation of $ell_{alpha}$-norm / Sharp bounds / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 33, IT2016-11, pp. 63-68, May 2016. | |
| Paper # | IT2016-11 | |
| Date of Issue | 2016-05-12 (IT, EMM) | |
| 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 | IT2016-11 EMM2016-11 |
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| Conference Information | |
| Committee | IT EMM |
| Conference Date | 2016-05-19 - 2016-05-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Otaru Economic Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information Security, Information Theory, Information Hiding, etc. |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2016-05-IT-EMM |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Sharp Bound Between Two Arimoto's Conditional Renyi Entropies with Distinct Positive Orders |
| Sub Title (in English) | |
| Keyword(1) | discrete probability distribution |
| Keyword(2) | Shannon entropy |
| Keyword(3) | Rényi entropy |
| Keyword(4) | Arimoto’s conditional Rényi entropy |
| Keyword(5) | expectation of $ell_{alpha}$-norm |
| Keyword(6) | Sharp bounds |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yuta Sakai |
| 1st Author's Affiliation | University of Fukui (Univ. of Fukui) |
| 2nd Author's Name | Ken-ichi Iwata |
| 2nd Author's Affiliation | University of Fukui (Univ. of Fukui) |
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| Speaker | Author-1 |
| Date Time | 2016-05-20 10:15:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2016-11, EMM2016-11 |
| Volume (vol) | vol.116 |
| Number (no) | no.33(IT), no.34(EMM) |
| Page | pp.63-68 |
| #Pages | 6 |
| Date of Issue | 2016-05-12 (IT, EMM) |
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