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Paper Abstract and Keywords
Presentation 2012-06-20 10:30
Density Difference Estimation
Masashi Sugiyama (Tokyo Inst. of Tech.), Takafumi Kanamori (Nagoya Univ.), Taiji Suzuki (Univ. of Tokyo), Marthinus Christoffel du Plessis, Song Liu (Tokyo Inst. of Tech.), Ichiro Takeuchi (Nagoya Inst. of Tech.) IBISML2012-8
Abstract (in Japanese) (See Japanese page) 
(in English) We address the problem of estimating the difference between
two probability densities.
A naive approach
is a two-step procedure of first estimating two densities separately
and then computing their difference.
However, such a two-step procedure does not necessarily work well
because the first step is performed without regard to the second step
and thus a small error incurred in the first stage can cause a big error in the second stage.
In this paper, we propose a single-shot procedure
for directly estimating the density difference
without separately estimating two densities.
We derive a finite-sample error bound
for the proposed single-shot density-difference estimator
and show that it achieves the optimal convergence rate.
Keyword (in Japanese) (See Japanese page) 
(in English) density difference / L2-distance / robustness / Kullback-Leibler divergence / kernel density estimation / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 83, IBISML2012-8, pp. 49-56, June 2012.
Paper # IBISML2012-8 
Date of Issue 2012-06-12 (IBISML) 
ISSN Print edition: ISSN 0913-5685    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)
Notes on Review This article is a technical report without peer review, and its polished version will be published elsewhere.
Download PDF IBISML2012-8

Conference Information
Committee IBISML  
Conference Date 2012-06-19 - 2012-06-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Campus plaza Kyoto 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General topics on machine learning and its application 
Paper Information
Registration To IBISML 
Conference Code 2012-06-IBISML 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Density Difference Estimation 
Sub Title (in English)  
Keyword(1) density difference  
Keyword(2) L2-distance  
Keyword(3) robustness  
Keyword(4) Kullback-Leibler divergence  
Keyword(5) kernel density estimation  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Masashi Sugiyama  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Takafumi Kanamori  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
3rd Author's Name Taiji Suzuki  
3rd Author's Affiliation University of Tokyo (Univ. of Tokyo)
4th Author's Name Marthinus Christoffel du Plessis  
4th Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
5th Author's Name Song Liu  
5th Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
6th Author's Name Ichiro Takeuchi  
6th Author's Affiliation Nagoya Institute of Technology (Nagoya Inst. of Tech.)
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Speaker Author-1 
Date Time 2012-06-20 10:30:00 
Presentation Time 30 minutes 
Registration for IBISML 
Paper # IBISML2012-8 
Volume (vol) vol.112 
Number (no) no.83 
Page pp.49-56 
#Pages 8 
Date of Issue 2012-06-12 (IBISML) 

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