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Paper Abstract and Keywords
Presentation 2009-03-09 16:20
Relationship among Conditional Complexities of Individual Sequences
Yuki Tanaka, Tomohiko Uyematsu, Ryutaroh Matsumoto (Tokyo Inst. of Tech.) IT2008-64 ISEC2008-122 WBS2008-77
Abstract (in Japanese) (See Japanese page) 
(in English) Conditional complexities of individual sequences are known as lower bounds on the compression rate attainable by some classes of encoders with side information. This paper investigates relations among four conditional complexities, and shows that two kinds of conditional empirical entropies and the conditional self-entropy rate regarding finite state sources are asymptotically equal and lower bounded by the conditional LZ complexity determined by the incremental parsing of the sequences. Further, it is shown that Ziv's coding algorithm can attain the conditional LZ complexity, and gives better compression rate than any block encoder.
Keyword (in Japanese) (See Japanese page) 
(in English) individual sequence / conditional complexity / conditional empirical entropy / universal coding / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 472, IT2008-64, pp. 129-136, March 2009.
Paper # IT2008-64 
Date of Issue 2009-03-02 (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 IT2008-64 ISEC2008-122 WBS2008-77

Conference Information
Committee WBS IT ISEC  
Conference Date 2009-03-09 - 2009-03-10 
Place (in Japanese) (See Japanese page) 
Place (in English) Hakodate Mirai Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2009-03-WBS-IT-ISEC 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Relationship among Conditional Complexities of Individual Sequences 
Sub Title (in English)  
Keyword(1) individual sequence  
Keyword(2) conditional complexity  
Keyword(3) conditional empirical entropy  
Keyword(4) universal coding  
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1st Author's Name Yuki Tanaka  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Tomohiko Uyematsu  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
3rd Author's Name Ryutaroh Matsumoto  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Speaker Author-1 
Date Time 2009-03-09 16:20:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2008-64, ISEC2008-122, WBS2008-77 
Volume (vol) vol.108 
Number (no) no.472(IT), no.473(ISEC), no.474(WBS) 
Page pp.129-136 
#Pages 8 
Date of Issue 2009-03-02 (IT, ISEC, WBS) 

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