Partial sums-based P-Rank computation in information networks

Jinhua Wang, Mingxi Zhang, Zhenying He, Wei Wang
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Abstract

P-Rank is a simple and captivating link-based similarity measure that extends SimRank by exploiting both in- and out-links for similarity computation. However, the existing work of P-Rank computation is expensive in terms of time and space cost and cannot efficiently support similarity computation in large information networks. For tackling this problem, in this paper, we propose an optimization technique for fast P-Rank computation in information networks by adopting the spiritual of partial sums. We write P-Rank equation based on partial sums and further approximate this equation by setting a threshold for ignoring the small similarity scores during iterative similarity computation. An optimized similarity computation algorithm is developed, which reduces the computation cost by skipping the similarity scores smaller than the give threshold during accumulation operations. And the accuracy loss estimation under the threshold is given through extensive mathematical analysis. Extensive experiments demonstrate the effectiveness and efficiency of our proposed approach through comparing with the straightforward P-Rank computation algorithm.
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信息网络中基于部分和的P-Rank计算
P-Rank是一个简单而迷人的基于链接的相似性度量,它通过利用内链接和外链接进行相似性计算来扩展SimRank。然而,现有的P-Rank计算工作在时间和空间成本上都很昂贵,不能有效地支持大型信息网络中的相似性计算。为了解决这一问题,本文采用部分和的精神,提出了一种信息网络中快速P-Rank计算的优化技术。我们基于部分和编写了P-Rank方程,并通过设置一个阈值来进一步近似该方程,以便在迭代相似度计算过程中忽略小的相似分数。提出了一种优化的相似度计算算法,在累积操作中跳过小于给定阈值的相似度分数,从而降低了计算成本。通过广泛的数学分析,给出了阈值下的精度损失估计。通过与直接的P-Rank计算算法的比较,大量的实验证明了我们提出的方法的有效性和效率。
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