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arXiv 1909.01076cs.SImath.COmath.PRmath.SP
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利用有效转移的网络链接预测

Link Prediction in Networks Using Effective Transitions

Bryn Balls-Barker, Benjamin Webb

摘要:

我们介绍了一种新的方法来预测现实世界中的网络,我们称之为有效转换的方法的链接的形成。该方法依赖于等谱矩阵约简的理论来计算网络上(有偏)随机游走中最终从一个顶点过渡到另一个顶点的概率。与大多数链接预测技术不同,该方法可用于预测网络中有向或无向的加权或未加权链接。我们将这种方法应用于一些社会,技术和自然网络,并表明它是有竞争力的其他链接预测往往优于他们。我们还提供了一种近似我们的有效过渡方法的方法,并表明,除了具有更低的时间复杂性,这种近似往往提供更准确的预测比原来的有效过渡方法。我们还证明了一些数学结果,我们的有效的过渡算法和它的近似。

英文摘要:

We introduce a new method for predicting the formation of links in real-world networks, which we refer to as the method of effective transitions. This method relies on the theory of isospectral matrix reductions to compute the probability of eventually transitioning from one vertex to another in a (biased) random walk on the network. Unlike the large majority of link prediction techniques, this method can be used to predict links in networks that are directed or undirected which are either weighted or unweighted. We apply this method to a number of social, technological, and natural networks and show that it is competitive with other link predictors often outperforming them. We also provide a method of approximating our effective transition method and show that aside from having much lower temporal complexity, this approximation often provides more accurate predictions than the original effective transition method. We also, prove a number of mathematical results regarding our effective transition algorithm and its approximation.

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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