arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1207.0913cs.SIcs.DBphysics.soc-ph
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社交网络中节点影响力的估计

Estimating Node Influenceability in Social Networks

Rong-Hua Li, Jeffrey Xu Yu, Zechao Shang

摘要:

影响分析是社会网络分析和挖掘中的一个基本问题。影响力分析在社交网络中的重要应用包括病毒式营销的影响力最大化、寻找最具影响力的节点、在线广告等。对于这些应用中的许多应用,评估节点的影响力是至关重要的。本文在广泛应用的影响力传播模型--独立级联模型的基础上,研究了社会网络中节点影响力的评价问题。由于这个问题是P-完全的,大多数现有的工作是基于朴素蒙特卡罗(\nmc)采样。然而,\nmc估计量通常会导致较大的方差,这会显著降低其有效性。为了克服这个问题,我们提出了两个家庭的新的估计的思想的基础上分层抽样。本文首先提出了两种基本的分层抽样(\bss)估计量,即\bssi估计量和\bssii估计量,它们分别通过选择$r$边缘将整个总体划分为$2^r$和$r+1$两个分层。其次,为了进一步减小方差,我们发现\bssi和\bssii估计都可以在每个层上递归地执行,因此我们提出了两个递归分层抽样(\rss)估计,即\rssi估计和\rssii估计。从理论上讲,我们所有的估计是无偏的,他们的方差显着小于\nmc估计的方差。最后,我们在合成数据集和真实数据集上的广泛实验结果证明了我们新估计的效率和准确性。

英文摘要:

Influence analysis is a fundamental problem in social network analysis and mining. The important applications of the influence analysis in social network include influence maximization for viral marketing, finding the most influential nodes, online advertising, etc. For many of these applications, it is crucial to evaluate the influenceability of a node. In this paper, we study the problem of evaluating influenceability of nodes in social network based on the widely used influence spread model, namely, the independent cascade model. Since this problem is #P-complete, most existing work is based on Naive Monte-Carlo (\nmc) sampling. However, the \nmc estimator typically results in a large variance, which significantly reduces its effectiveness. To overcome this problem, we propose two families of new estimators based on the idea of stratified sampling. We first present two basic stratified sampling (\bss) estimators, namely \bssi estimator and \bssii estimator, which partition the entire population into $2^r$ and $r+1$ strata by choosing $r$ edges respectively. Second, to further reduce the variance, we find that both \bssi and \bssii estimators can be recursively performed on each stratum, thus we propose two recursive stratified sampling (\rss) estimators, namely \rssi estimator and \rssii estimator. Theoretically, all of our estimators are shown to be unbiased and their variances are significantly smaller than the variance of the \nmc estimator. Finally, our extensive experimental results on both synthetic and real datasets demonstrate the efficiency and accuracy of our new estimators.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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