Presentation 2017-03-03
Reconstruction of Network Structure from Incomplete Set of Observed Information by Using Compressed Sensing
Shun Sugimoto, Masaki Aida,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) On complex large scale networks like social networks, it is typically impossible to observe complete information about their topology structure or link weight directly. Recent research has proposed the network resonance method that enables to estimate the eigenvalues of the Laplacian matrix representing network structure, by using resonance phenomena of oscillation dynamics on network. In addition, we are developing the estimation method of eigenvectors of the Laplacian matrix based on the resonance. Eigenvalues and eigenvectors estimated in this method have errors, and realistically, it is not always able to be observed all of them. In this paper, by applying the compressedsensing, we propose the new method reconstructing the original Laplacian matrix from a part of its eigenvalues and eigenvectors. If we can reconstruct Laplacian matrix, we expect to understand topology structure or link weight of social networks.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) compressed sensing / Laplacian matrix / real symmetric matrix / eigenvalue / eigenvector
Paper # IN2016-143
Date of Issue 2017-02-23 (IN)

Conference Information
Committee NS / IN
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
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Reconstruction of Network Structure from Incomplete Set of Observed Information by Using Compressed Sensing
Sub Title (in English)
Keyword(1) compressed sensing
Keyword(2) Laplacian matrix
Keyword(3) real symmetric matrix
Keyword(4) eigenvalue
Keyword(5) eigenvector
1st Author's Name Shun Sugimoto
1st Author's Affiliation Tokyo Metropolitan University(TMU)
2nd Author's Name Masaki Aida
2nd Author's Affiliation Tokyo Metropolitan University(TMU)
Date 2017-03-03
Paper # IN2016-143
Volume (vol) vol.116
Number (no) IN-485
Page pp.pp.275-280(IN),
#Pages 6
Date of Issue 2017-02-23 (IN)