Presentation 2010-03-10
Statistical Mechanics of Detecting Overlapping Community Stracture
Yukihiro TSUBOSHITA, Masato OKADA,
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Abstract(in English) In most of proposed conventional community extraction methods, a network is divided based on the density of the links of it. It is however common that there are various communities in a networks and one node usually belongs to a number of communities. In the present study, a network is therefore stochastically produced based on a number of communities (patterns) that are allowed to contain overlapping nodes, and the community extraction problem is regarded as a minimization problem with respect to an energy function in the case that network links are used as ferromagnetic interaction strength. The conditions that the embedded community (pattern) can be extracted from the network are theoretically examined with the replica method, which is one of the most powerful tools of a mathematical mechanics.
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Keyword(in English) community extraction / network / statistical mechanics / replica method
Paper # NLP2009-174
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Committee NLP
Conference Date 2010/3/2(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Statistical Mechanics of Detecting Overlapping Community Stracture
Sub Title (in English)
Keyword(1) community extraction
Keyword(2) network
Keyword(3) statistical mechanics
Keyword(4) replica method
1st Author's Name Yukihiro TSUBOSHITA
1st Author's Affiliation Corporate Research Group, Fuji Xerox Co., Ltd.()
2nd Author's Name Masato OKADA
2nd Author's Affiliation Graduate School of Frontier Sciences, The University of Tokyo
Date 2010-03-10
Paper # NLP2009-174
Volume (vol) vol.109
Number (no) 458
Page pp.pp.-
#Pages 6
Date of Issue