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Paper Abstract and Keywords
Presentation 2018-03-14 10:25
Experimental Analysis of Real Log Canonical Threshold in Stochastic Matrix Factorization using Hamiltonian Monte Carlo Method
Naoki Hayashi, Sumio Watanabe (Tokyo Tech) NC2017-89
Abstract (in Japanese) (See Japanese page) 
(in English) For the real log canonical threshold (RLCT) that gives the Bayesian generalization error of stochastic matrix factorization (SMF), we derived in the previous study the upper bound given only in the matrix size，the internal dimension of the product in the decomposition.
However, no algorithm of Bayesian inference for SMF has been established.
In this paper, we propose the method to realize the posterior of SMF using Hamiltonian Monte Carlo method (HMC) and examine the accuracy by comparing experimental results with theoretical value.
Keyword (in Japanese) (See Japanese page) 
(in English) stochastic matrix factorization (SMF) / real log canonical threshold (RLCT) / singular model / Bayesian learning / Bayesian inference / Hamiltonian Monte Carlo method (HMC) / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 508, NC2017-89, pp. 127-131, March 2018.
Paper # NC2017-89 
Date of Issue 2018-03-06 (NC) 
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)
Download PDF NC2017-89

Conference Information
Committee MBE NC  
Conference Date 2018-03-13 - 2018-03-14 
Place (in Japanese) (See Japanese page) 
Place (in English) Kikai-Shinko-Kaikan Bldg. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) ME, general 
Paper Information
Registration To NC 
Conference Code 2018-03-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 Stochastic Matrix Factorization using Hamiltonian Monte Carlo Method 
Sub Title (in English)  
Keyword(1) stochastic matrix factorization (SMF)  
Keyword(2) real log canonical threshold (RLCT)  
Keyword(3) singular model  
Keyword(4) Bayesian learning  
Keyword(5) Bayesian inference  
Keyword(6) Hamiltonian Monte Carlo method (HMC)  
Keyword(7)  
Keyword(8)  
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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Speaker Author-1 
Date Time 2018-03-14 10:25:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2017-89 
Volume (vol) vol.117 
Number (no) no.508 
Page pp.127-131 
#Pages 5 
Date of Issue 2018-03-06 (NC) 

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