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 |
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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IBISML2011-61 |
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) |
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Keyword(1) |
matrix factorization |
Keyword(2) |
variational Bayes |
Keyword(3) |
robust PCA |
Keyword(4) |
model-induced regularization |
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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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Speaker |
Author-1 |
Date Time |
2011-11-09 15:45:00 |
Presentation Time |
180 minutes |
Registration for |
IBISML |
Paper # |
IBISML2011-61 |
Volume (vol) |
vol.111 |
Number (no) |
no.275 |
Page |
pp.127-134 |
#Pages |
8 |
Date of Issue |
2011-11-02 (IBISML) |
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