| Presentation | 2017-03-03 Study on Social Network Analysis using Random Matrix Tsukasa Kameyama, Chisa Takano, Masaki Aida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | social network / Laplacian matrix / random matrix / spectral density / semicircle law |
| Paper # | IN2016-142 |
| Date of Issue | 2017-02-23 (IN) |
| Conference Information | |
| Committee | NS / IN |
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| Conference Date | 2017/3/2(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | OKINAWA ZANPAMISAKI ROYAL HOTEL |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Chair | Hideki Tode(Osaka Pref. Univ.) / Katsunori Yamaoka(Tokyo Inst. of Tech.) |
| Vice Chair | Yoshikatsu Okazaki(NTT) / Takuji Kishida(NTT) |
| Secretary | Yoshikatsu Okazaki(Kyushu Inst. of Tech.) / Takuji Kishida(NTT) |
| Assistant | Shohei Kamamura(NTT) / Kunitake Kaneko(Keio Univ.) / Takashi Natsume(NTT) |
| Paper Information | |
| Registration To | Technical Committee on Network Systems / Technical Committee on Information Networks |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2017-03-03 |
| Paper # | IN2016-142 |
| Volume (vol) | vol.116 |
| Number (no) | IN-485 |
| Page | pp.pp.269-274(IN), |
| #Pages | 6 |
| Date of Issue | 2017-02-23 (IN) |