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Paper Abstract and Keywords
Presentation 2014-07-17 13:00
$alpha$-divergence derived as the generalized rate function in Tsallis statistics
Hiroki Suyari (Chiba Univ.), Antonio Maria Scarfone (ISC-CNR) IT2014-16
Abstract (in Japanese) (See Japanese page) 
(in English) The generalized binomial distribution in Tsallis statistics (power-law system) is explicitly formulated from the precise $q$-Stirling's formula. The $alpha$-divergence (or $q$-divergence) is uniquely derived from the generalized binomial distribution in the sense that when $alpharightarrow-1$ (i.e.,$qrightarrow1$) it recovers KL divergence obtained from the standard binomial distribution. Based on these combinatorial considerations, it is shown that $alpha$-divergence (or $q$-divergence) is appeared as the generalized rate function in the large deviation estimate in Tsallis statistics.
Keyword (in Japanese) (See Japanese page) 
(in English) $alpha$-divergence / generalized rate function / generalized binomial distribution / large deviation estimate / Tsallis statistics / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 138, IT2014-16, pp. 25-30, July 2014.
Paper # IT2014-16 
Date of Issue 2014-07-10 (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 IT2014-16

Conference Information
Committee IT  
Conference Date 2014-07-17 - 2014-07-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kobe University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) freshman session, general 
Paper Information
Registration To IT 
Conference Code 2014-07-IT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) $alpha$-divergence derived as the generalized rate function in Tsallis statistics 
Sub Title (in English)  
Keyword(1) $alpha$-divergence  
Keyword(2) generalized rate function  
Keyword(3) generalized binomial distribution  
Keyword(4) large deviation estimate  
Keyword(5) Tsallis statistics  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Hiroki Suyari  
1st Author's Affiliation Chiba University (Chiba Univ.)
2nd Author's Name Antonio Maria Scarfone  
2nd Author's Affiliation Istituto dei Sistemi Complessi - CNR (ISC-CNR)
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Speaker Author-1 
Date Time 2014-07-17 13:00:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2014-16 
Volume (vol) vol.114 
Number (no) no.138 
Page pp.25-30 
#Pages 6 
Date of Issue 2014-07-10 (IT) 

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