Paper Abstract and Keywords |
Presentation |
2012-11-07 15:30
Typical case analysis of sample complexity in Dictionary Learning Ayaka Sakata, Yoshiyuki Kabashima (Tokyo Tech.) IBISML2012-50 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Finding a basis matrix (dictionary) by which objective signals are represented sparsely is of major relevance in various scientific and technological fields. We consider a problem to learn a dictionary from a set of training signals. To evaluate the size of the training set necessary to typically succeed in the dictionary learning (sample complexity), we employ techniques of statistical mechanics of disordered systems. The results indicate that the sample complexity is proportional to data dimension when the ratio between row and column of the dictionary is sufficiently large, which estimation is much smaller than previous one. Our result theoretically supports and/or encourages the use of dictionary learning in practical situations. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Dictionary Learning / Compressed sensing / Replica method / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 279, IBISML2012-50, pp. 113-120, Nov. 2012. |
Paper # |
IBISML2012-50 |
Date of Issue |
2012-10-31 (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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IBISML2012-50 |
Conference Information |
Committee |
IBISML |
Conference Date |
2012-11-07 - 2012-11-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Bunkyo School Building, Tokyo Campus, Tsukuba Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
the 15th Information-Based Induction Sciences Workshop |
Paper Information |
Registration To |
IBISML |
Conference Code |
2012-11-IBISML |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Typical case analysis of sample complexity in Dictionary Learning |
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Keyword(1) |
Dictionary Learning |
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Compressed sensing |
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Replica method |
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1st Author's Name |
Ayaka Sakata |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
2nd Author's Name |
Yoshiyuki Kabashima |
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Tokyo Institute of Technology (Tokyo Tech.) |
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Speaker |
Author-1 |
Date Time |
2012-11-07 15:30:00 |
Presentation Time |
150 minutes |
Registration for |
IBISML |
Paper # |
IBISML2012-50 |
Volume (vol) |
vol.112 |
Number (no) |
no.279 |
Page |
pp.113-120 |
#Pages |
8 |
Date of Issue |
2012-10-31 (IBISML) |
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