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Paper Abstract and Keywords
Presentation 2025-01-29 13:10
[Invited Talk] Lossless Coding for Individual Sequences: Now and Then
Tomohiko Uyematsu (Science Tokyo) IT2024-38 SIP2024-77 RCS2024-221
Abstract (in Japanese) (See Japanese page) 
(in English) The problem of encoding a given semi-infinite sequence is called as the coding problem for individual sequences. In this paper, we first explain the coding problem for individual sequences investigated by Ziv et al. in 1970s. We show some information measures of individual sequences that characterize the minimum coding rate for the following two kinds of fixed-length coding, (1) the error-free fixed-length coding, and (2) the fixed-length coding for which the error rate vanishes as the block length tends to infinity. On the other hand, for the variable-length coding, we show that the minimum code length per symbol corresponds to the complexity of the individual sequence and that this lower bound can be achieved by the LZ78 code. Next, we explain some new information measures for individual sequences obtained by us since 2000s. We then clarify the new information measures of individual sequences that coincide with the minimum coding rate of the fixed-length coding for which the error rate vanishes. Further, by using these new information measures, we construct fixed-length codes of which the encoding complexity is significantly smaller than the codes proposed by Ziv et al. Finally, we also present a information measure for individual sequences that coincide with the minimum code length per symbol for variable-length coding of individual sequences, and mention the conditions under which a set of individual sequences on a countably infinite alphabet can be universally encoded.
Keyword (in Japanese) (See Japanese page) 
(in English) fixed-length code / individual sequence / information measure / source coding / variable-length code / / /  
Reference Info. IEICE Tech. Rep., vol. 124, no. 364, IT2024-38, pp. 71-78, Jan. 2025.
Paper # IT2024-38 
Date of Issue 2025-01-22 (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 IT2024-38 SIP2024-77 RCS2024-221

Conference Information
Committee RCS SIP IT  
Conference Date 2025-01-29 - 2025-01-30 
Place (in Japanese) (See Japanese page) 
Place (in English) Kaikyou-messe 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Signal Processing for Wireless Communications, Learning, Mathematics, Information Theory, etc. 
Paper Information
Registration To IT 
Conference Code 2025-01-RCS-SIP-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Lossless Coding for Individual Sequences: Now and Then 
Sub Title (in English)  
Keyword(1) fixed-length code  
Keyword(2) individual sequence  
Keyword(3) information measure  
Keyword(4) source coding  
Keyword(5) variable-length code  
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1st Author's Name Tomohiko Uyematsu  
1st Author's Affiliation Institute of Science Tokyo (Science Tokyo)
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Speaker Author-1 
Date Time 2025-01-29 13:10:00 
Presentation Time 50 minutes 
Registration for IT 
Paper # IT2024-38, SIP2024-77, RCS2024-221 
Volume (vol) vol.124 
Number (no) no.364(IT), no.365(SIP), no.366(RCS) 
Page pp.71-78 
#Pages 8 
Date of Issue 2025-01-22 (IT, SIP, RCS) 

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