| Presentation | 2016-03-04 Proposal of Network Resonance for Estimating Eigenvalues of Laplacian Matrix Satoshi Furutani, Chisa Takano, Masaki Aida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Eigenvalues of Laplacian matrix play an important role in characterizing structural and dynamical properties of networks. In the procedure for calculating eigenvalues of Laplacian matrix, we need to get Laplacian matrix that represents structures of the network. Since the actual structure of network and the strength of links are difficult to know, it is difficult to determine elements of the Laplacian matrix. To solve this problem, our previous study proposed concept of the network resonance method, which is for estimating eigenvalues of Laplacian matrix using resonance of oscillation dynamics on network. This method does not need a priori information about network structure. In this research, we consider feasibility of network resonance method, and show that the method can estimate eigenvalues of the Laplacian matrix of the whole network through observations of oscillation dynamics even if observed nodes are restricted a part of in network. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | oscillation / resonance / Laplacian matrix / eigenvalue |
| Paper # | IN2015-149 |
| Date of Issue | 2016-02-25 (IN) |
| Conference Information | |
| Committee | NS / IN |
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| Conference Date | 2016/3/3(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Phoenix Seagaia Resort |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Chair | Atsushi Hiramatsu(NTT-AT) / Hidetsugu Kobayashi(NTT) |
| Vice Chair | Hideki Tode(Osaka Pref. Univ.) / Katsunori Yamaoka(Tokyo Inst. of Tech.) |
| Secretary | Hideki Tode(Univ. of Fukui) / Katsunori Yamaoka(NTT) |
| Assistant | Shohei Kamamura(NTT) / Yuichi Sudo(NTT) / Kunitake Kaneko(Keio Univ.) |
| 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) | Proposal of Network Resonance for Estimating Eigenvalues of Laplacian Matrix |
| Sub Title (in English) | |
| Keyword(1) | oscillation |
| Keyword(2) | resonance |
| Keyword(3) | Laplacian matrix |
| Keyword(4) | eigenvalue |
| 1st Author's Name | Satoshi Furutani |
| 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 | 2016-03-04 |
| Paper # | IN2015-149 |
| Volume (vol) | vol.115 |
| Number (no) | IN-484 |
| Page | pp.pp.241-246(IN), |
| #Pages | 6 |
| Date of Issue | 2016-02-25 (IN) |