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Paper Abstract and Keywords
Presentation 2018-09-21 10:00
A Study on MDL Learning of Mixture Families
Kohei Miyamoto, Jun'ichi Takeuchi (Kyushu Univ.) PRMU2018-51 IBISML2018-28
Abstract (in Japanese) (See Japanese page) 
(in English) MDL estimators based on two stage codes are studied.
The Barron and Cover's theory shows that redundancy of
a two stage code bounds the risk of the MDL estimator
defined by the two stage code.
It is known that
coding regret of two stage codes for exponential families
can be close to the minimax regret, which is related to stochastic complexity,
while it is not for non-exponential families.
I this paper, we propose a new method of two stage codes for two components
mixture families, whose regret
can be close to the minimax regret.
The method is based on local exponential family bundles,
which are used to evaluate the minimax regret for non-exponential families.
Further, we obtain a tight risk bound of MDL estimators for mixture families.
Keyword (in Japanese) (See Japanese page) 
(in English) MDL principle / two stage codes / mixture families / / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 220, IBISML2018-28, pp. 105-112, Sept. 2018.
Paper # IBISML2018-28 
Date of Issue 2018-09-13 (PRMU, IBISML) 
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 PRMU2018-51 IBISML2018-28

Conference Information
Committee PRMU IBISML IPSJ-CVIM  
Conference Date 2018-09-20 - 2018-09-21 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2018-09-PRMU-IBISML-CVIM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on MDL Learning of Mixture Families 
Sub Title (in English)  
Keyword(1) MDL principle  
Keyword(2) two stage codes  
Keyword(3) mixture families  
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1st Author's Name Kohei Miyamoto  
1st Author's Affiliation Kyushu University (Kyushu Univ.)
2nd Author's Name Jun'ichi Takeuchi  
2nd Author's Affiliation Kyushu University (Kyushu Univ.)
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Speaker Author-1 
Date Time 2018-09-21 10:00:00 
Presentation Time 10 minutes 
Registration for IBISML 
Paper # PRMU2018-51, IBISML2018-28 
Volume (vol) vol.118 
Number (no) no.219(PRMU), no.220(IBISML) 
Page pp.105-112 
#Pages 8 
Date of Issue 2018-09-13 (PRMU, IBISML) 

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