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| Presentation | 2023-05-12 13:25 Equivalences among Some Information Measures for Individual Sequences and Their Applications for Fixed-Length Coding Problems Tomohiko Uyematsu (Tokyo Tech.), Tetsunao Matsuta (Saitama Univ.)  IT2023-12 EMM2023-12 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper proposes three new information measures for individual sequences and clarifies their properties. Our new information measures are called as the non-overlapping max-entropy, the overlapping smooth max-entropy, and the non-overlapping smooth max-entropy, respectively. These measures are related to the fixed-length coding of individual sequences. We investigate these measures, and show the following two properties: (1) The non-overlapping max-entropy coincides with the topological entropy. (2) The overlapping smooth max-entropy and the non-overlapping smooth max-entropy coincide with the Ziv-entropy. Further, we apply these information measures to the fixed-length coding of individual sequences, and propose two new universal coding schemes which are asymptotically optimum. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | fixed-length coding / individual sequence / information measure / topological entropy / universal coding / Ziv-entropy / / | |
| Reference Info. | IEICE Tech. Rep., vol. 123, no. 14, IT2023-12, pp. 61-66, May 2023. | |
| Paper # | IT2023-12 | |
| Date of Issue | 2023-05-04 (IT, EMM) | |
| ISSN | 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 | IT2023-12 EMM2023-12 |
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| Conference Information | |
| Committee | EMM IT |
| Conference Date | 2023-05-11 - 2023-05-12 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Rakuyu Kaikan (Kyoto Univ. Yoshida-South Campus) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information Security, Information Theory, Information Hiding, etc. |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2023-05-EMM-IT |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Equivalences among Some Information Measures for Individual Sequences and Their Applications for Fixed-Length Coding Problems |
| Sub Title (in English) | |
| Keyword(1) | fixed-length coding |
| Keyword(2) | individual sequence |
| Keyword(3) | information measure |
| Keyword(4) | topological entropy |
| Keyword(5) | universal coding |
| Keyword(6) | Ziv-entropy |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tomohiko Uyematsu |
| 1st Author's Affiliation | Tokyo Institute of Technology (Tokyo Tech.) |
| 2nd Author's Name | Tetsunao Matsuta |
| 2nd Author's Affiliation | Saitama University (Saitama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2023-05-12 13:25:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2023-12, EMM2023-12 |
| Volume (vol) | vol.123 |
| Number (no) | no.14(IT), no.15(EMM) |
| Page | pp.61-66 |
| #Pages | 6 |
| Date of Issue | 2023-05-04 (IT, EMM) |
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