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Paper Abstract and Keywords
Presentation 2016-05-20 11:05
Construction of A Two-Step Universal VV Code Using a Sufficient Statistic Extracted from a VF Code
Mitsuharu Arimura (Shonan Inst. Tech.), Hiroshi Nagaoka (Univ. of Electro-Communications) IT2016-13 EMM2016-13
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, some theorems which give relationships between a sufficient statistic and the universality of a VV source code are presented. These theorems can be used as a methodology to construct a new two-step universal code using a sufficient statistic. As an example, the parsing tree of LZY code, which is a variation of LZ78 code, is investigated. It is proved that LZY parsing tree is an asymptotically sufficient statistic for the class of finite state sources. Furthermore, a universal two-step VV code for the same class is constructed based on the LZY parsing tree. These results are an extension of the previous results on FV codes to VV codes. Since the type (empirical distribution of symbols) is a sufficient statistic for the class of stationary memoryless sources, an asymptotically sufficient statistic can be regarded as an extension of the type, and the two-step code constructed in this paper can be seen as a generalization of Lynch-Davisson code for sources with memory.
Keyword (in Japanese) (See Japanese page) 
(in English) Lossless Source Coding / VF Code / Finite State Source / Maximum Redundancy / Universal Source Code / Sufficient Statistic / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 33, IT2016-13, pp. 75-80, May 2016.
Paper # IT2016-13 
Date of Issue 2016-05-12 (IT, EMM) 
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 IT2016-13 EMM2016-13

Conference Information
Committee IT EMM  
Conference Date 2016-05-19 - 2016-05-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Otaru Economic Center 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information Security, Information Theory, Information Hiding, etc. 
Paper Information
Registration To IT 
Conference Code 2016-05-IT-EMM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Construction of A Two-Step Universal VV Code Using a Sufficient Statistic Extracted from a VF Code 
Sub Title (in English)  
Keyword(1) Lossless Source Coding  
Keyword(2) VF Code  
Keyword(3) Finite State Source  
Keyword(4) Maximum Redundancy  
Keyword(5) Universal Source Code  
Keyword(6) Sufficient Statistic  
Keyword(7)  
Keyword(8)  
1st Author's Name Mitsuharu Arimura  
1st Author's Affiliation Shonan Institute of Technology (Shonan Inst. Tech.)
2nd Author's Name Hiroshi Nagaoka  
2nd Author's Affiliation University of Electro-Communications (Univ. of Electro-Communications)
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Speaker Author-1 
Date Time 2016-05-20 11:05:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2016-13, EMM2016-13 
Volume (vol) vol.116 
Number (no) no.33(IT), no.34(EMM) 
Page pp.75-80 
#Pages 6 
Date of Issue 2016-05-12 (IT, EMM) 

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