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| Presentation | 2014-09-02 15:15 On Improvement of Tensor Spectral Method for Estimation of Mixed Membership Stochastic Block Model Wataru Kaigaishi (Univ. of Tokyo), Hisashi Kashima (Kyoto Univ.)  PRMU2014-51 IBISML2014-32 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Maximum likelihood estimation is a common approach to estimating mixed membership stochastic block models; however, it is known that it suffers from its high computational.Recently, Anandkumar et al. proposed a tensor spectral method for mixed membership stochastic block models, and their method is attracting considerable attentions due to its computational efficiency and theoretical guarantees. However, one of the serious drawbacks is that their tensor spectral method assumes that the connection probability matrix is non-singular, which does not always hold in practice. In this paper, we propose a modification of their method so that it is applicable to singular connection probability matrices. In addition, we make another modification to fully utilize available information, and confirmed their effectiveness.We also propose other improvement and compare with a method which Anandkumar et al proposed. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Mixed membership / spectral methods / community detection / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 198, IBISML2014-32, pp. 131-136, Sept. 2014. | |
| Paper # | IBISML2014-32 | |
| Date of Issue | 2014-08-25 (PRMU, 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) | |
| Download PDF | PRMU2014-51 IBISML2014-32 |
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| Conference Information | |
| Committee | PRMU IBISML IPSJ-CVIM |
| Conference Date | 2014-09-01 - 2014-09-02 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | IBISML |
| Conference Code | 2014-09-PRMU-IBISML-CVIM |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Improvement of Tensor Spectral Method for Estimation of Mixed Membership Stochastic Block Model |
| Sub Title (in English) | |
| Keyword(1) | Mixed membership |
| Keyword(2) | spectral methods |
| Keyword(3) | community detection |
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| 1st Author's Name | Wataru Kaigaishi |
| 1st Author's Affiliation | The University of Tokyo (Univ. of Tokyo) |
| 2nd Author's Name | Hisashi Kashima |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
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| Speaker | Author-1 |
| Date Time | 2014-09-02 15:15:00 |
| Presentation Time | 30 minutes |
| Registration for | IBISML |
| Paper # | PRMU2014-51, IBISML2014-32 |
| Volume (vol) | vol.114 |
| Number (no) | no.197(PRMU), no.198(IBISML) |
| Page | pp.131-136 |
| #Pages | 6 |
| Date of Issue | 2014-08-25 (PRMU, IBISML) |
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