论文标题

通过挫折云来表征态度网络图

Characterizing Attitudinal Network Graphs through Frustration Cloud

论文作者

Rusnak, Lucas, Tešić, Jelena

论文摘要

态度网络图是签名的图形,边缘捕获表达的意见;通过边缘连接的两个顶点可以是可喜的(正)或拮抗作用(负)。如果其每个循环都包含均匀数量的负边,则称为平衡。平衡通常以挫败感指数或找到网络共识的单一收敛平衡状态为特征。在本文中,我们建议将共识的度量从与挫败感指数相关的单个平衡状态扩展到最近平衡状态。我们将挫败感云作为所有最近平衡状态的集合,并使用图形平衡算法以确定性的方式找到所有最近的平衡状态。通过概率测量共识来解决计算问题,我们引入了新的顶点和边缘指标来量化状态,一致和影响力。我们还为给定的签名图引入了一种新的全局争议量度,并表明顶点状态是签名网络中的零和游戏。我们提出了一种有效的可扩展算法,用于计算社交网络中的基于挫败感的措施,并调查多达80,000个顶点和50万边缘的调查数据。我们还展示了与光谱聚类相比,提出的方法为社区发现提供判别特征的功能,并自动确定网络中的主要顶点和异常决策。

Attitudinal Network Graphs are signed graphs where edges capture an expressed opinion; two vertices connected by an edge can be agreeable (positive) or antagonistic (negative). A signed graph is called balanced if each of its cycles includes an even number of negative edges. Balance is often characterized by the frustration index or by finding a single convergent balanced state of network consensus. In this paper, we propose to expand the measures of consensus from a single balanced state associated with the frustration index to the set of nearest balanced states. We introduce the frustration cloud as a set of all nearest balanced states and use a graph-balancing algorithm to find all nearest balanced states in a deterministic way. Computational concerns are addressed by measuring consensus probabilistically, and we introduce new vertex and edge metrics to quantify status, agreement, and influence. We also introduce a new global measure of controversy for a given signed graph and show that vertex status is a zero-sum game in the signed network. We propose an efficient scalable algorithm for calculating frustration cloud-based measures in social network and survey data of up to 80,000 vertices and half-a-million edges. We also demonstrate the power of the proposed approach to provide discriminant features for community discovery when compared to spectral clustering and to automatically identify dominant vertices and anomalous decisions in the network.

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