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| Paper Abstract and Keywords | ||
| Presentation | 2016-03-10 13:40 Relations Between Conditional Shannon Entropy and Expectation of Norm and Their Applications Yuta Sakai, Ken-ichi Iwata (Univ. of Fukui)  IT2015-109 ISEC2015-68 WBS2015-92 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The paper investigates the extremal relations between the Shannon entropy and the $ell_{alpha}$-norm. More precisely, the exact ranges between the Shannon entropy and the $ell_{alpha}$-norm are examined for probability distributions on a finite alphabet. Furthermore, we extend the above results from unconditional information measures to conditional information measures. Then, we reveal the exact ranges between the conditional Shannon entropy and the expectation of ell_{alpha}-norm for joint probability distributions. As applications, we examine the tight bounds of reliability functions for discrete memoryless channels. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Shannon entropy / $ell_{alpha}$-norm / R'{e}nyi entropy / conditional entropy / Gallager's $E_{0}$ function / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 115, no. 500, IT2015-109, pp. 49-54, March 2016. | |
| Paper # | IT2015-109 | |
| Date of Issue | 2016-03-03 (IT, ISEC, WBS) | |
| 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 | IT2015-109 ISEC2015-68 WBS2015-92 |
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| Conference Information | |
| Committee | IT ISEC WBS |
| Conference Date | 2016-03-10 - 2016-03-11 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | The University of Electro-Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | joint meeting of IT, ISEC, and WBS |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2016-03-IT-ISEC-WBS |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Relations Between Conditional Shannon Entropy and Expectation of Norm and Their Applications |
| Sub Title (in English) | |
| Keyword(1) | Shannon entropy |
| Keyword(2) | $ell_{alpha}$-norm |
| Keyword(3) | R'{e}nyi entropy |
| Keyword(4) | conditional entropy |
| Keyword(5) | Gallager's $E_{0}$ function |
| Keyword(6) | |
| 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) |
| 3rd Author's Name | |
| 3rd Author's Affiliation | () |
| 4th Author's Name | |
| 4th Author's Affiliation | () |
| 5th Author's Name | |
| 5th Author's Affiliation | () |
| 6th Author's Name | |
| 6th Author's Affiliation | () |
| Speaker | Author-1 |
| Date Time | 2016-03-10 13:40:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2015-109, ISEC2015-68, WBS2015-92 |
| Volume (vol) | vol.115 |
| Number (no) | no.500(IT), no.501(ISEC), no.502(WBS) |
| Page | pp.49-54 |
| #Pages | 6 |
| Date of Issue | 2016-03-03 (IT, ISEC, WBS) |
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