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| Presentation | 2017-03-03 10:40 Study on Social Network Analysis using Random Matrix Tsukasa Kameyama (Tokyo Metropolitan Univ.), Chisa Takano (Hiroshima City Univ.), Masaki Aida (Tokyo Metropolitan Univ.)  IN2016-142 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Spectral graph theory gives an algebraical approache to analyze network structure by using a matrix . However, in large social networks, it is difficult to know the details of its network structure, and we cannot expect that a matrix representing the network structure is given as a priori knowledge. The objective of this research is to give a method to analyze the characteristics of a large social network by using the universal nature of random matrices that represents the structure of networks. Existing studies have been reported that the spectral density of the normalized Laplacian matrix of the weightless link follows the semicircle law under a certain conditions. In this paper, we evaluate the spectral density of the normalized Laplacian matrix of the randomly weighted links, and investigate conditions for the spectral density to satisfy the semicircle law, experimentally. In addition, we show an application pf the proposed method to social network analysis. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | social network / Laplacian matrix / random matrix / spectral density / semicircle law / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 485, IN2016-142, pp. 269-274, March 2017. | |
| Paper # | IN2016-142 | |
| Date of Issue | 2017-02-23 (IN) | |
| 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 | IN2016-142 |
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| Conference Information | |
| Committee | NS IN |
| Conference Date | 2017-03-02 - 2017-03-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | OKINAWA ZANPAMISAKI ROYAL HOTEL |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | IN |
| Conference Code | 2017-03-NS-IN |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Study on Social Network Analysis using Random Matrix |
| Sub Title (in English) | |
| Keyword(1) | social network |
| Keyword(2) | Laplacian matrix |
| Keyword(3) | random matrix |
| Keyword(4) | spectral density |
| Keyword(5) | semicircle law |
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| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Tsukasa Kameyama |
| 1st Author's Affiliation | Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
| 2nd Author's Name | Chisa Takano |
| 2nd Author's Affiliation | Hiroshima City University (Hiroshima City Univ.) |
| 3rd Author's Name | Masaki Aida |
| 3rd Author's Affiliation | Tokyo Metropolitan University (Tokyo Metropolitan Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-03-03 10:40:00 |
| Presentation Time | 20 minutes |
| Registration for | IN |
| Paper # | IN2016-142 |
| Volume (vol) | vol.116 |
| Number (no) | no.485 |
| Page | pp.269-274 |
| #Pages | 6 |
| Date of Issue | 2017-02-23 (IN) |
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