论文标题
计算与临界值的2参数持久模块的匹配距离
Computing the Matching Distance of 2-Parameter Persistence Modules from Critical Values
论文作者
论文摘要
多参数持久模块的匹配距离的确切计算是计算拓扑研究的活跃领域。实现此距离的易于获得的精确计算将使多参数持续的同源性成为数据分析的可行选择。在本文中，我们为在二维中计算匹配距离的计算以及通过参数空间实现了这一距离的几何解释提供了理论结果。我们提出的方法的关键点是可以轻松实施。
The exact computation of the matching distance for multi-parameter persistence modules is an active area of research in computational topology. Achieving an easily obtainable exact computation of this distance would allow multi-parameter persistent homology to be a viable option for data analysis. In this paper, we provide theoretical results for the computation of the matching distance in two dimensions along with a geometric interpretation of the lines through parameter space realizing this distance. The crucial point of the method we propose is that it can be easily implemented.
