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Paper Abstract and Keywords
Presentation 2015-07-13 16:00
[Invited Talk] Reformulation of Information Theory by New Information Measures
Tomohiko Uyematsu (Tokyo Tech) IT2015-27
Abstract (in Japanese) (See Japanese page) 
(in English) Han and Verd'u introduced a new information measure called as
information spectrum, and developed the most general information theory
in terms of the information spectrum. Later,
Renner and Wolf introduced another new information
measure called as smooth entropy,
and reformulated the source coding problem.
Since then, some research groups have developed
methods to deal with general
sources and channels by using the smooth entropy
or the smooth R'enyi divergence instead of the information spectrum.
This paper surveys some researches which reformulate various
problems in information theory in terms of the smooth entropy
or the smooth R'enyi divergence.
We also clarify why these information measures
are essential in the study
of general sources and channels. Specifically, the smooth max-entropy and the smooth
min-entropy have clear operational meanings in the fixed-length source
coding problem and the intrinsic randomness problem, respectively.
Further, the smooth min R'enyi divergence and the smooth max R'enyi
divergence have their operational meanings in the channel coding
problem and the rate-distortion theory, respectively.
We also demonstrate that the converse coding theorems can be easily
derived by using these information measures.
Keyword (in Japanese) (See Japanese page) 
(in English) smooth entropy / smooth Renyi divergence / source coding theorem / channel coding theorem / rate-distortion theory / random number generation / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 137, IT2015-27, pp. 59-66, July 2015.
Paper # IT2015-27 
Date of Issue 2015-07-06 (IT) 
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 IT2015-27

Conference Information
Committee IT  
Conference Date 2015-07-13 - 2015-07-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Tokyo Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English) freshman session, general 
Paper Information
Registration To IT 
Conference Code 2015-07-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Reformulation of Information Theory by New Information Measures 
Sub Title (in English)  
Keyword(1) smooth entropy  
Keyword(2) smooth Renyi divergence  
Keyword(3) source coding theorem  
Keyword(4) channel coding theorem  
Keyword(5) rate-distortion theory  
Keyword(6) random number generation  
Keyword(7)  
Keyword(8)  
1st Author's Name Tomohiko Uyematsu  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2015-07-13 16:00:00 
Presentation Time 50 minutes 
Registration for IT 
Paper # IT2015-27 
Volume (vol) vol.115 
Number (no) no.137 
Page pp.59-66 
#Pages
Date of Issue 2015-07-06 (IT) 


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