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Paper Abstract and Keywords
Presentation 2021-03-03 14:00
Learning coefficients of normal mixture models in one dimension.
Genki Watanabe, Ryuji Ito, Miki Aoyagi (Nihon Univ.) IBISML2020-48
Abstract (in Japanese) (See Japanese page) 
(in English) Hierarchical learning models are widely used for data analysis in image or speech recognition, economics and so on. However, such models are singular and cannot be
analyzed using the classic theories of regular statistical models. Therefore, it is necessary to construct mathematical analysis of singular models. Recently, Watanabe developed several theorems, for example, widely applicable information criterion,
widely applicable Bayesian information criterion, and cross-validation based on mathematical theorems in algebraic geometry and algebraic analysis. In this paper, we consider the generalization error of the normal models in Bayesian estimation.
Keyword (in Japanese) (See Japanese page) 
(in English) Resolution of singularities / learning coefficients / singular models / normal mixture models / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 395, IBISML2020-48, pp. 40-46, March 2021.
Paper # IBISML2020-48 
Date of Issue 2021-02-23 (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 IBISML2020-48

Conference Information
Committee IBISML  
Conference Date 2021-03-02 - 2021-03-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Organized and general sessions on machine learning 
Paper Information
Registration To IBISML 
Conference Code 2021-03-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Learning coefficients of normal mixture models in one dimension. 
Sub Title (in English)  
Keyword(1) Resolution of singularities  
Keyword(2) learning coefficients  
Keyword(3) singular models  
Keyword(4) normal mixture models  
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1st Author's Name Genki Watanabe  
1st Author's Affiliation Nihon University (Nihon Univ.)
2nd Author's Name Ryuji Ito  
2nd Author's Affiliation Nihon University (Nihon Univ.)
3rd Author's Name Miki Aoyagi  
3rd Author's Affiliation Nihon University (Nihon Univ.)
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Speaker Author-3 
Date Time 2021-03-03 14:00:00 
Presentation Time 25 minutes 
Registration for IBISML 
Paper # IBISML2020-48 
Volume (vol) vol.120 
Number (no) no.395 
Page pp.40-46 
#Pages 7 
Date of Issue 2021-02-23 (IBISML) 

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