arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1011.3571cs.SIcs.CYphysics.soc-ph
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网络级联的定量分析框架

A Framework for Quantitative Analysis of Cascades on Networks

Rumi Ghosh, Kristina Lerman

摘要:

在线社交网络中的信息如何流动?信息级联的结构和规模如何随时间演变?如何有效地挖掘级联动力学中包含的信息?我们的做法,这些问题的经验,并提出了一个有效的和可扩展的数学框架,对网络级联的定量分析。我们定义了一个级联生成函数,捕捉级联的微观动力学的细节。我们表明,这个函数也可以用来计算级联的宏观性质,如它们的大小,传播,直径,路径数,和平均路径长度。我们提出了一种算法来有效地计算级联生成函数,并证明,虽然显着压缩信息内的级联,但它仍然允许我们准确地重建其结构。我们使用这个框架来研究Digg社交网络上的信息动态。Digg允许用户发布和投票的故事,并很容易看到的故事,朋友们已经投票。作为一个故事传播Digg通过投票,它产生级联。我们提取了超过3,500个Digg故事的级联,并计算了它们的宏观和微观特性。我们确定了级联动态的几个趋势:通过链接,分支和社区传播。我们讨论这些如何影响通过Digg社交网络的故事的传播。我们的计算框架是通用的,并提供了一个实用的解决方案,即使是非常大的级联的微观结构的定量分析。

英文摘要:

How does information flow in online social networks? How does the structure and size of the information cascade evolve in time? How can we efficiently mine the information contained in cascade dynamics? We approach these questions empirically and present an efficient and scalable mathematical framework for quantitative analysis of cascades on networks. We define a cascade generating function that captures the details of the microscopic dynamics of the cascades. We show that this function can also be used to compute the macroscopic properties of cascades, such as their size, spread, diameter, number of paths, and average path length. We present an algorithm to efficiently compute cascade generating function and demonstrate that while significantly compressing information within a cascade, it nevertheless allows us to accurately reconstruct its structure. We use this framework to study information dynamics on the social network of Digg. Digg allows users to post and vote on stories, and easily see the stories that friends have voted on. As a story spreads on Digg through voting, it generates cascades. We extract cascades of more than 3,500 Digg stories and calculate their macroscopic and microscopic properties. We identify several trends in cascade dynamics: spreading via chaining, branching and community. We discuss how these affect the spread of the story through the Digg social network. Our computational framework is general and offers a practical solution to quantitative analysis of the microscopic structure of even very large cascades.

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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