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| Presentation | 2018-11-05 15:10 [Poster Presentation] Variational Approximation Accuracy in Non-negative Matrix Factorization Naoki Hayashi (MSI)  IBISML2018-51 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The asymptotic behavior of the variational free energy of the non-negative matrix factorization (NMF) has been elucidated, however, it has not been clarified how well the variational approximation accuracy is with respect to the Bayesian inference. In this study, we resolve the behavior of free energy of Bayesian NMF assuming the same likelihood model and prior distribution as variational Bayesian NMF by using algebraic geometrical method, and their behaviors are theoretically compared. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | non-negative matrix factorization (NMF) / singular model / learning coefficient / real log canonical threshold / variational free energy / free energy / variational Bayesian method / Bayesian inference | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 284, IBISML2018-51, pp. 53-60, Nov. 2018. | |
| Paper # | IBISML2018-51 | |
| Date of Issue | 2018-10-29 (IBISML) | |
| ISSN | 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 | IBISML2018-51 |
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| Conference Information | |
| Committee | IBISML |
| Conference Date | 2018-11-05 - 2018-11-07 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hokkaido Citizens Activites Center (Kaderu 2.7) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information-Based Induction Science Workshop (IBIS2018) |
| Paper Information | |
| Registration To | IBISML |
| Conference Code | 2018-11-IBISML |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Variational Approximation Accuracy in Non-negative Matrix Factorization |
| Sub Title (in English) | |
| Keyword(1) | non-negative matrix factorization (NMF) |
| Keyword(2) | singular model |
| Keyword(3) | learning coefficient |
| Keyword(4) | real log canonical threshold |
| Keyword(5) | variational free energy |
| Keyword(6) | free energy |
| Keyword(7) | variational Bayesian method |
| Keyword(8) | Bayesian inference |
| 1st Author's Name | Naoki Hayashi |
| 1st Author's Affiliation | NTTDATA Mathematical Systems Inc. (MSI) |
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| Speaker | Author-1 |
| Date Time | 2018-11-05 15:10:00 |
| Presentation Time | 180 minutes |
| Registration for | IBISML |
| Paper # | IBISML2018-51 |
| Volume (vol) | vol.118 |
| Number (no) | no.284 |
| Page | pp.53-60 |
| #Pages | 8 |
| Date of Issue | 2018-10-29 (IBISML) |
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