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| Presentation | 2021-01-21 10:55 A counterexample to the conjecture that the maximum redundancy of the AIFV-m codes is 1/m and an improvement Yuta Nakamura, Ueda Daichi, Ken-ichi Iwata (Univ. of Fukui), Hirosuke Yamamoto (The Univ. of Tokyo)  IT2020-73 SIP2020-51 RCS2020-164 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Hu, Yamamoto, and Honda proposed the binary AIFV-m codes and proved that the redundancy of the optimal binary AIFV-m codes is bounded above by 1/m for m = 2, 3, 4. They conjectured that the worst-case redundancy of the binary AIFV-m code is 1/m if m ≥ 2. This paper proves that the parameters c _k,j,0 ≤ k,j ≤ m−1, which are used for dynamic programming in the Fujita, Iwata, and Yamamoto’s algorithm for constructing an optimal binary AIFV-m code, satisfy |ck,j| < 1. We also observe a source with worst-case redundancy greater than 1/m at m = 12 and show counterexamples with worst-case redundancy of 1/m for binary AIFV-m codes. Furthermore, we propose a source code that achieves better redundancy than a binary AIFV-m code when the maximum probability of the source symbol approaches 1 if allowing at most m-bit decoding delay. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Noiseless data compression / source coding / AIFV-m code / redundancy / iterative optimization / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 320, IT2020-73, pp. 58-63, Jan. 2021. | |
| Paper # | IT2020-73 | |
| Date of Issue | 2021-01-14 (IT, SIP, RCS) | |
| 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 | IT2020-73 SIP2020-51 RCS2020-164 |
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| Conference Information | |
| Committee | SIP IT RCS |
| Conference Date | 2021-01-21 - 2021-01-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2021-01-SIP-IT-RCS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A counterexample to the conjecture that the maximum redundancy of the AIFV-m codes is 1/m and an improvement |
| Sub Title (in English) | |
| Keyword(1) | Noiseless data compression |
| Keyword(2) | source coding |
| Keyword(3) | AIFV-m code |
| Keyword(4) | redundancy |
| Keyword(5) | iterative optimization |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yuta Nakamura |
| 1st Author's Affiliation | University of Fukui (Univ. of Fukui) |
| 2nd Author's Name | Ueda Daichi |
| 2nd Author's Affiliation | University of Fukui (Univ. of Fukui) |
| 3rd Author's Name | Ken-ichi Iwata |
| 3rd Author's Affiliation | University of Fukui (Univ. of Fukui) |
| 4th Author's Name | Hirosuke Yamamoto |
| 4th Author's Affiliation | The University of Tokyo (The Univ. of Tokyo) |
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| Speaker | Author-1 |
| Date Time | 2021-01-21 10:55:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2020-73, SIP2020-51, RCS2020-164 |
| Volume (vol) | vol.120 |
| Number (no) | no.320(IT), no.321(SIP), no.322(RCS) |
| Page | pp.58-63 |
| #Pages | 6 |
| Date of Issue | 2021-01-14 (IT, SIP, RCS) |
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