Information: Join today and make your research activities more affordable! Technical workshop participation fees and annual registration fees are available at member rates.
Notice: [Important] Announcement of Changes to Registration Fee Payment and Manuscript Upload Procedures for IEICE Technical Meetings
IEICE Technical Committee Submission System
Conference Paper's Information		 Online Proceedings
[Sign in]
Tech. Rep. Archives
 Go Top Page Go Previous   [Japanese] / [English] 

Paper Abstract and Keywords
Presentation 2013-09-02 11:00
Entropy and non-Additivity
Masaru Tanaka (Fukuoka Univ.) PRMU2013-39 IBISML2013-19
Abstract (in Japanese) (See Japanese page) 
(in English) Here we give an entropy through a contraction of a renormalized $tau$-log-likelihood with $tau = 1 - s$ and a negative $tau$-log-likelihood with $tau = s$. Conformal entropy is also given by using a regularized contraction. This entropy is related to Tsallis entropy with a simple modification and gives two types of non-additivity according to formulae of $tau$-logarithmic function for multiplication. We define a divergence and then give a generalized Pythagorean theorem. It is also considered that an orthogonal decomposition of a vector space $R_{Omega}$. Using this orthogonal decomposition, the Cram'{e}r-Rao inequality is derived directly.
Keyword (in Japanese) (See Japanese page) 
(in English) entropy / non-additivity / divergence / generalized Pythagorean theorem / Cram'{e}r-Rao inequality / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 196, PRMU2013-39, pp. 39-46, Sept. 2013.
Paper # PRMU2013-39 
Date of Issue 2013-08-26 (PRMU, IBISML) 
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 PRMU2013-39 IBISML2013-19

Conference Information
Committee PRMU IBISML IPSJ-CVIM  
Conference Date 2013-09-02 - 2013-09-03 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To PRMU 
Conference Code 2013-09-PRMU-IBISML-CVIM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Entropy and non-Additivity 
Sub Title (in English)  
Keyword(1) entropy  
Keyword(2) non-additivity  
Keyword(3) divergence  
Keyword(4) generalized Pythagorean theorem  
Keyword(5) Cram'{e}r-Rao inequality  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Masaru Tanaka  
1st Author's Affiliation Fukuoka University (Fukuoka Univ.)
2nd Author's Name  
2nd Author's Affiliation ()
3rd Author's Name  
3rd Author's Affiliation ()
4th Author's Name  
4th Author's Affiliation ()
5th Author's Name  
5th Author's Affiliation ()
6th Author's Name  
6th Author's Affiliation ()
7th Author's Name  
7th Author's Affiliation ()
8th Author's Name  
8th Author's Affiliation ()
9th Author's Name  
9th Author's Affiliation ()
10th Author's Name  
10th Author's Affiliation ()
11th Author's Name  
11th Author's Affiliation ()
12th Author's Name  
12th Author's Affiliation ()
13th Author's Name  
13th Author's Affiliation ()
14th Author's Name  
14th Author's Affiliation ()
15th Author's Name  
15th Author's Affiliation ()
16th Author's Name  
16th Author's Affiliation ()
17th Author's Name  
17th Author's Affiliation ()
18th Author's Name  
18th Author's Affiliation ()
19th Author's Name  
19th Author's Affiliation ()
20th Author's Name  
20th Author's Affiliation ()
21st Author's Name  
21st Author's Affiliation ()
22nd Author's Name  
22nd Author's Affiliation ()
23rd Author's Name  
23rd Author's Affiliation ()
24th Author's Name  
24th Author's Affiliation ()
25th Author's Name  
25th Author's Affiliation ()
26th Author's Name / /
26th Author's Affiliation ()
()
27th Author's Name / /
27th Author's Affiliation ()
()
28th Author's Name / /
28th Author's Affiliation ()
()
29th Author's Name / /
29th Author's Affiliation ()
()
30th Author's Name / /
30th Author's Affiliation ()
()
31st Author's Name / /
31st Author's Affiliation ()
()
32nd Author's Name / /
32nd Author's Affiliation ()
()
33rd Author's Name / /
33rd Author's Affiliation ()
()
34th Author's Name / /
34th Author's Affiliation ()
()
35th Author's Name / /
35th Author's Affiliation ()
()
36th Author's Name / /
36th Author's Affiliation ()
()
Speaker Author-1 
Date Time 2013-09-02 11:00:00 
Presentation Time 30 minutes 
Registration for PRMU 
Paper # PRMU2013-39, IBISML2013-19 
Volume (vol) vol.113 
Number (no) no.196(PRMU), no.197(IBISML) 
Page pp.39-46 
#Pages 8 
Date of Issue 2013-08-26 (PRMU, IBISML) 

[Return to Top Page]

[Return to IEICE Web Page]
The Institute of Electronics, Information and Communication Engineers (IEICE), Japan