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Paper Abstract and Keywords
Presentation 2019-07-26 10:30
Unbiased Estimation Equation for f-Separable Bregman Distortion Measures and the Properties of Its Estimators
Masahiro Kobayashi, Kazuho Watanabe (Toyohashi Tech.) IT2019-22
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we discuss unbiased estimation equations in a class of objective function using the monotonically increasing function $f$ and Bregman divergence. The choice of the function $f$ gives desirable properties, such as robustness against outliers.However generally it does not guarantee the consistency of the estimators because it does not satisfy unbiased estimation equations. In order to satisfy unbiased estimation equations, analytically intractable integrals are generally required as bias correction terms. In this study, we clarify the combination of Bregman divergence, probability model, and function $f$ in which the bias correction term vanishes. Specifically, we investigate the case of squared and Itakura-Saito distances. In the case of squared distance, it contains known results. In the case of the Itakura-Saito distance, the distribution of scale parameter characterized by the Itakura-Saito distance is derived, which includes the gamma distribution as a special case. We discuss the possibility of latent bias minimization when the proportion of outliers is large due to the extinction of the bias correction term.
Keyword (in Japanese) (See Japanese page) 
(in English) f-separable distortion measures / Bregman Divergence / Itakura-Saito Distance / Latent Bias / M-estimators / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 149, IT2019-22, pp. 37-42, July 2019.
Paper # IT2019-22 
Date of Issue 2019-07-18 (IT) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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 IT  
Conference Date 2019-07-25 - 2019-07-26 
Place (in Japanese) (See Japanese page) 
Place (in English) NATULUCK-Iidabashi-Higashiguchi Ekimaeten 
Topics (in Japanese) (See Japanese page) 
Topics (in English) freshman session, general 
Paper Information
Registration To IT 
Conference Code 2019-07-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Unbiased Estimation Equation for f-Separable Bregman Distortion Measures and the Properties of Its Estimators 
Sub Title (in English)  
Keyword(1) f-separable distortion measures  
Keyword(2) Bregman Divergence  
Keyword(3) Itakura-Saito Distance  
Keyword(4) Latent Bias  
Keyword(5) M-estimators  
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1st Author's Name Masahiro Kobayashi  
1st Author's Affiliation Toyohashi University of Technology (Toyohashi Tech.)
2nd Author's Name Kazuho Watanabe  
2nd Author's Affiliation Toyohashi University of Technology (Toyohashi Tech.)
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Speaker Author-1 
Date Time 2019-07-26 10:30:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2019-22 
Volume (vol) vol.119 
Number (no) no.149 
Page pp.37-42 
#Pages
Date of Issue 2019-07-18 (IT) 


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