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基于圖正則化非負(fù)矩陣分解的二分網(wǎng)絡(luò)社區(qū)發(fā)現(xiàn)算法

汪濤 劉陽 席耀一

汪濤, 劉陽, 席耀一. 基于圖正則化非負(fù)矩陣分解的二分網(wǎng)絡(luò)社區(qū)發(fā)現(xiàn)算法[J]. 電子與信息學(xué)報, 2015, 37(9): 2238-2245. doi: 10.11999/JEIT141649
引用本文: 汪濤, 劉陽, 席耀一. 基于圖正則化非負(fù)矩陣分解的二分網(wǎng)絡(luò)社區(qū)發(fā)現(xiàn)算法[J]. 電子與信息學(xué)報, 2015, 37(9): 2238-2245. doi: 10.11999/JEIT141649
Wang Tao, Liu Yang, Xi Yao-yi. Identifying Community in Bipartite Networks Using Graph Regularized-based Non-negative Matrix Factorization[J]. Journal of Electronics & Information Technology, 2015, 37(9): 2238-2245. doi: 10.11999/JEIT141649
Citation: Wang Tao, Liu Yang, Xi Yao-yi. Identifying Community in Bipartite Networks Using Graph Regularized-based Non-negative Matrix Factorization[J]. Journal of Electronics & Information Technology, 2015, 37(9): 2238-2245. doi: 10.11999/JEIT141649

基于圖正則化非負(fù)矩陣分解的二分網(wǎng)絡(luò)社區(qū)發(fā)現(xiàn)算法

doi: 10.11999/JEIT141649
基金項目: 

國家863計劃項目(2011AA013603)和國家重大科技專項(2013ZX 03006002)

Identifying Community in Bipartite Networks Using Graph Regularized-based Non-negative Matrix Factorization

  • 摘要: 現(xiàn)實(shí)世界存在大量二分網(wǎng)絡(luò),研究其社區(qū)結(jié)構(gòu)有助于從新角度認(rèn)識和理解異質(zhì)復(fù)雜網(wǎng)絡(luò)。非負(fù)矩陣分解模型能夠克服二分結(jié)構(gòu)的限制,有效地挖掘二分網(wǎng)絡(luò)的潛在結(jié)構(gòu),但也存在著時間復(fù)雜度高、收斂慢等問題。該文提出一種基于圖正則化的三重非負(fù)矩陣分解(NMTF)算法應(yīng)用于二分網(wǎng)絡(luò)社區(qū)發(fā)現(xiàn),通過圖正則化將用戶子空間和目標(biāo)子空間的內(nèi)部連接關(guān)系作為約束項引入到三重非負(fù)矩陣分解模型中;同時將NMTF分解為兩個最小化近似誤差的子問題,并給出了乘性迭代算法以交替更新因子矩陣,從而簡化矩陣分解迭代,加快收斂速度。實(shí)驗(yàn)和分析證明:對于計算機(jī)生成網(wǎng)絡(luò)和真實(shí)網(wǎng)絡(luò),該文提出的社區(qū)劃分方法均表現(xiàn)出較高的準(zhǔn)確率和穩(wěn)定性,能夠快速準(zhǔn)確地挖掘二分網(wǎng)絡(luò)的社區(qū)結(jié)構(gòu)。
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出版歷程
  • 收稿日期:  2014-12-26
  • 修回日期:  2015-04-13
  • 刊出日期:  2015-09-19

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