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Paper Abstract and Keywords
Presentation 2020-01-09 13:00
Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures
Takumi Watanabe, Sumio Watanabe (Tokyo Tech) IBISML2019-18
Abstract (in Japanese) (See Japanese page) 
(in English) Multinomial mixtures are widely used in the information engineering field. However, it is not subject to the conventional statistical theory of regular statistical models, because the models are not identifiable and their Fisher information matrices are is not positive definite. In the recent years, the generalization performance of singular learning machines was clarified based on resolution of singularities. In this report, we compute Real Log Canonical Thresholds in an algebraic geometric way and clarify asymptotic behaviors of generalization error and free energy.
Keyword (in Japanese) (See Japanese page) 
(in English) generalization error / free energy / multinomial mixtures / real log canonical thresholds / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 360, IBISML2019-18, pp. 1-8, Jan. 2020.
Paper # IBISML2019-18 
Date of Issue 2020-01-02 (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)
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Conference Information
Committee IBISML  
Conference Date 2020-01-09 - 2020-01-10 
Place (in Japanese) (See Japanese page) 
Place (in English) ISM 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Machine learning, etc. 
Paper Information
Registration To IBISML 
Conference Code 2020-01-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Asymptotic Behavior of Bayesian Generalization Error in Multinomial Mixtures 
Sub Title (in English)  
Keyword(1) generalization error  
Keyword(2) free energy  
Keyword(3) multinomial mixtures  
Keyword(4) real log canonical thresholds  
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1st Author's Name Takumi Watanabe  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
2nd Author's Name Sumio Watanabe  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2020-01-09 13:00:00 
Presentation Time 25 minutes 
Registration for IBISML 
Paper # IBISML2019-18 
Volume (vol) vol.119 
Number (no) no.360 
Page pp.1-8 
#Pages
Date of Issue 2020-01-02 (IBISML) 


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