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arXiv 1102.4639cs.SIphysics.data-anphysics.soc-ph
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非保守扩散及其在社会网络分析中的应用

Non-Conservative Diffusion and its Application to Social Network Analysis

Rumi Ghosh, Kristina Lerman, Tawan Surachawala, Konstantin Voevodski, Shang-Hua Teng

摘要:

随机游走是网络动态过程建模的基础。基于随机游走的搜索算法已经在从图像处理到网页排序的许多应用中得到了应用。然而,随机游走对于社交网络的建模和分析有多合适呢?我们认为,与随机游走不同,它保存了在网络上扩散的数量,许多有趣的社会现象,如信息或疾病在社交网络上的传播,从根本上讲是非保守的。当一个人用病毒感染她的邻居时,感染的总量会增加。我们将扩散过程分为保守和非保守两类,并展示了这些差异如何影响用于网络分析的指标的选择,以及我们对网络结构和行为的理解。我们表明,阿尔法中心,数学上描述非保守扩散,导致新的见解网络上的传播过程的行为。给出了一个计算大型图的α中心度的可扩展近似算法。我们验证我们的方法在现实世界的在线社交网络的Digg。我们发现,一个非保守的度量,如阿尔法中心,产生更好的协议与经验措施的影响比保守的度量,如PageRank。我们希望我们的调查将激发进一步探索领域的保守和非保守的度量在社会网络分析。

英文摘要:

The random walk is fundamental to modeling dynamic processes on networks. Metrics based on the random walk have been used in many applications from image processing to Web page ranking. However, how appropriate are random walks to modeling and analyzing social networks? We argue that unlike a random walk, which conserves the quantity diffusing on a network, many interesting social phenomena, such as the spread of information or disease on a social network, are fundamentally non-conservative. When an individual infects her neighbor with a virus, the total amount of infection increases. We classify diffusion processes as conservative and non-conservative and show how these differences impact the choice of metrics used for network analysis, as well as our understanding of network structure and behavior. We show that Alpha-Centrality, which mathematically describes non-conservative diffusion, leads to new insights into the behavior of spreading processes on networks. We give a scalable approximate algorithm for computing the Alpha-Centrality in a massive graph. We validate our approach on real-world online social networks of Digg. We show that a non-conservative metric, such as Alpha-Centrality, produces better agreement with empirical measure of influence than conservative metrics, such as PageRank. We hope that our investigation will inspire further exploration into the realms of conservative and non-conservative metrics in social network analysis.

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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