Paper Abstract and Keywords |
Presentation |
2014-03-07 11:35
Bayesian Test of Independence Takanori Ayano, Joe Suzuki (Osaka Univ.) IBISML2013-77 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
This paper proposes Bayesian estimators of mutual information and independence tests.
Given independently emitted $n$ pairs of examples of $X$ and $Y$, we estimate the mutual information
and test whether they are independent or not.
To this end, we construct Bayesian measures satisfying Kraft's inequality and universality, where
$X,Y$ may be discrete or continuous or none of them.
Currently, the Hilbert-Schmidt independent criterion (HSIC) seems to be the most popular for solving
the problem. However, no consistency proof has been given. We prove that the proposed estimation
is strongly consistent even for they are continuous data. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Independence test / Universal Bayesian Measure / HSIC / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 476, IBISML2013-77, pp. 79-86, March 2014. |
Paper # |
IBISML2013-77 |
Date of Issue |
2014-02-27 (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) |
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IBISML2013-77 |
Conference Information |
Committee |
IBISML |
Conference Date |
2014-03-06 - 2014-03-07 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nara Women's University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Statistical mathmatics, machine learning, data mining, and other topics |
Paper Information |
Registration To |
IBISML |
Conference Code |
2014-03-IBISML |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Bayesian Test of Independence |
Sub Title (in English) |
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Independence test |
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Universal Bayesian Measure |
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HSIC |
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1st Author's Name |
Takanori Ayano |
1st Author's Affiliation |
Osaka University (Osaka Univ.) |
2nd Author's Name |
Joe Suzuki |
2nd Author's Affiliation |
Osaka University (Osaka Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-03-07 11:35:00 |
Presentation Time |
25 minutes |
Registration for |
IBISML |
Paper # |
IBISML2013-77 |
Volume (vol) |
vol.113 |
Number (no) |
no.476 |
Page |
pp.79-86 |
#Pages |
8 |
Date of Issue |
2014-02-27 (IBISML) |
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