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Paper Abstract and Keywords
Presentation 2014-11-17 17:00
[Poster Presentation] Entropy Estimators Based on Simple Linear Regression
Hideitsu Hino (Univ. of Tukuba), Kensuke Koshijima (Recruit), Noboru Murata (Waseda Univ.) IBISML2014-39
Abstract (in Japanese) (See Japanese page) 
(in English) Three differential entropy estimators are proposed based on the second order expansion of the probability mass around the inspection point with respect to the distance from the point. In the second order expansion of the probability mass function, the constant term corresponds to the value of the probability density function at the inspection point. Simple linear regression is utilized to estimate the values of density function. The density estimates at every given data points are averaged to obtain entropy estimators. Another entropy estimator, which directly estimates entropy by linear regression, is also proposed. The proposed three estimators are shown to perform well through numerical experiments for various probability distributions.
Keyword (in Japanese) (See Japanese page) 
(in English) Entropy Estimation / Density Estimation / Simple Regression / Sampling / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 306, IBISML2014-39, pp. 33-40, Nov. 2014.
Paper # IBISML2014-39 
Date of Issue 2014-11-10 (IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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 IBISML2014-39

Conference Information
Committee IBISML  
Conference Date 2014-11-17 - 2014-11-19 
Place (in Japanese) (See Japanese page) 
Place (in English) Nagoya Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IBISML 
Conference Code 2014-11-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Entropy Estimators Based on Simple Linear Regression 
Sub Title (in English)  
Keyword(1) Entropy Estimation  
Keyword(2) Density Estimation  
Keyword(3) Simple Regression  
Keyword(4) Sampling  
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1st Author's Name Hideitsu Hino  
1st Author's Affiliation University of Tsukuba (Univ. of Tukuba)
2nd Author's Name Kensuke Koshijima  
2nd Author's Affiliation Recruit Jobs Co., Ltd. (Recruit)
3rd Author's Name Noboru Murata  
3rd Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2014-11-17 17:00:00 
Presentation Time 180 minutes 
Registration for IBISML 
Paper # IBISML2014-39 
Volume (vol) vol.114 
Number (no) no.306 
Page pp.33-40 
#Pages
Date of Issue 2014-11-10 (IBISML) 


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