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Paper Abstract and Keywords
Presentation 2023-08-04 10:20
Hölder's Reverse Inequality and Its Application to Computation of Lapidoth--Pfister Mutual Information
Akira Kamatsuka (SIT), Koki Kazama (Waseda Univ.) IT2023-23
Abstract (in Japanese) (See Japanese page) 
(in English) The H"{o}lder's inequality, a fundamental theoretical inequality, is employed to examine the characteristics of the reliability function in channel coding problem,
and serves as the basis for well-known inequalities such as those of Cauchy-Schwarz and Minkowski.
In this study, we introduce the H"{o}lder's reverse inequality and utilize it to provide alternative proofs of characterization for the Arimoto mutual information and Sibson mutual information,
which are variants of the Shannon mutual information.
Additionally, we leverage this reverse inequality to derive an iterative optimization algorithm for the Lapidoth-Pfister mutual information,
which is another variant of the Shannon mutual information.
Keyword (in Japanese) (See Japanese page) 
(in English) H"{o}lder's inequality / Sibson mutual information / Arimoto mutual information / Lapidoth-Pfister mutual information / alternating optimization / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 149, IT2023-23, pp. 50-55, Aug. 2023.
Paper # IT2023-23 
Date of Issue 2023-07-27 (IT) 
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 IT2023-23

Conference Information
Committee IT  
Conference Date 2023-08-03 - 2023-08-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Shonan Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Freshman session, General 
Paper Information
Registration To IT 
Conference Code 2023-08-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Hölder's Reverse Inequality and Its Application to Computation of Lapidoth--Pfister Mutual Information 
Sub Title (in English)  
Keyword(1) H"{o}lder's inequality  
Keyword(2) Sibson mutual information  
Keyword(3) Arimoto mutual information  
Keyword(4) Lapidoth-Pfister mutual information  
Keyword(5) alternating optimization  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Akira Kamatsuka  
1st Author's Affiliation Shonan Institute of Technology (SIT)
2nd Author's Name Koki Kazama  
2nd Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2023-08-04 10:20:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2023-23 
Volume (vol) vol.123 
Number (no) no.149 
Page pp.50-55 
#Pages 6 
Date of Issue 2023-07-27 (IT) 

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