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Paper Abstract and Keywords
Presentation 2017-03-13 10:00
Experimental Analysis of Real Log Canonical Threshold in Non-negative Matrix Factorization
Naoki Hayashi, Sumio Watanabe (Tokyo Tech) NC2016-78
Abstract (in Japanese) (See Japanese page) 
(in English) For the real log canonical threshold ( RLCT ) that gives the Bayesian generalization error of non-negative matrix factorization,we have derived in the previous study the upper bound given only in the matrix size,the internal dimension and the non-negative rank of the product in the decomposition.In this study,we experimentally verify this result by Markov chain Monte Carlo method and report the following results.
(1) When the exact value of RLCT is established in the theoretical formula: Equality is also established in numerical experiment result.
(2) When the exact value of RLCT is not established generally in the theoretical equation: If the rank of the observation matrix to be decomposed is equal to the non-negative rank,it coincides with the real log canonical threshold of the reduced rank regression.
(3) When rank and non-negative rank are not equal,it becomes a larger value than real log canonical threshold of reduced rank regression.
Keyword (in Japanese) (See Japanese page) 
(in English) non-negative matrix factorization(NMF) / real log canonical threshold(RLCT) / Bayesian learning / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 521, NC2016-78, pp. 85-90, March 2017.
Paper # NC2016-78 
Date of Issue 2017-03-06 (NC) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 MBE NC  
Conference Date 2017-03-13 - 2017-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2017-03-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Experimental Analysis of Real Log Canonical Threshold in Non-negative Matrix Factorization 
Sub Title (in English)  
Keyword(1) non-negative matrix factorization(NMF)  
Keyword(2) real log canonical threshold(RLCT)  
Keyword(3) Bayesian learning  
1st Author's Name Naoki Hayashi  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
2nd Author's Name Sumio Watanabe  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Date Time 2017-03-13 10:00:00 
Presentation Time 25 
Registration for NC 
Paper # IEICE-NC2016-78 
Volume (vol) IEICE-116 
Number (no) no.521 
Page pp.85-90 
#Pages IEICE-6 
Date of Issue IEICE-NC-2017-03-06 

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