论文标题
使用拓扑数据分析评估网络演变的方法
A methodology to evaluate the evolution of networks using topological data analysis
论文作者
论文摘要
网络是计算机科学中的重要表示，可以传达给定相互作用组件系统的结构方面。网络的演变具有几种拓扑属性，可以为我们提供网络本身的信息。在本文中，我们提出了一种方法来比较网络演变的拓扑特征，该方法编码为（持久性）图，该图跟踪了这些特征的寿命。这将使我们能够根据代表这种网络演变的图表之间的距离对网络的演变进行分类。在此，我们还考虑了复杂的向量，这些媒介为基于距离的分类带来了更接近计算方法的互补观点，旨在提高这些比较的计算效率，这本身就是开放研究问题的根源。
Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the network itself. In this paper, we present a methodology to compare the the topological characteristics of the evolution of a network, encoded into a (persistence) diagram that tracks the lifetimes of those features. This will enable us to classify the evolution of networks based on the distance between the diagrams that represent such network evolution. In that, we also consider complex vectors that bring a complementary perspective to the distance-based classification that is closer to the computational methods, aims to enhance the computational efficiency of those comparisons, and that is by itself a source of open research questions.
