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Paper Abstract and Keywords
Presentation 2011-11-09 15:45
Generalization of Matrix Factorization for Robust PCA
Shinichi Nakajima (Nikon), Masashi Sugiyama (Tokyo Inst. of Tech.), Derin Babacan (Illinois Univ.) IBISML2011-61
Abstract (in Japanese) (See Japanese page) 
(in English) Principal component analysis (PCA) can be regarded as approximating a
data matrix with
a low-rank one by imposing sparsity on singular values,
and its robust variant further captures sparse noise on top of plain PCA.
In this paper, we extend such sparse matrix learning methods,
and propose a novel unified framework called generalized matrix
factorization (GMF).
GMF systematically induces
various types of sparsity
by the so-called model-induced regularization in the Bayesian framework.
We propose an iterative algorithm called
the mean update
for variational Bayesian approximation to GMF,
which gives
the global optimal solution for a large subset of parameters in each step.
Through experiments, we demonstrate the usefulness of GMF.
Keyword (in Japanese) (See Japanese page) 
(in English) matrix factorization / variational Bayes / robust PCA / model-induced regularization / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 275, IBISML2011-61, pp. 127-134, Nov. 2011.
Paper # IBISML2011-61 
Date of Issue 2011-11-02 (IBISML) 
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 IBISML  
Conference Date 2011-11-09 - 2011-11-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Nara Womens Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) The 14th IBIS workshop 
Paper Information
Registration To IBISML 
Conference Code 2011-11-IBISML 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Generalization of Matrix Factorization for Robust PCA 
Sub Title (in English)  
Keyword(1) matrix factorization  
Keyword(2) variational Bayes  
Keyword(3) robust PCA  
Keyword(4) model-induced regularization  
1st Author's Name Shinichi Nakajima  
1st Author's Affiliation Nikon Corporation (Nikon)
2nd Author's Name Masashi Sugiyama  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
3rd Author's Name Derin Babacan  
3rd Author's Affiliation University of Illinois (Illinois Univ.)
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Date Time 2011-11-09 15:45:00 
Presentation Time 180 
Registration for IBISML 
Paper # IEICE-IBISML2011-61 
Volume (vol) IEICE-111 
Number (no) no.275 
Page pp.127-134 
#Pages IEICE-8 
Date of Issue IEICE-IBISML-2011-11-02 

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