论文标题
数据分析和超图的度量演变
Data analysis and the metric evolution of hypergraphs
论文作者
论文摘要
在本文中，我们旨在在欧几里得空间和sobolev类型指标中使用不同的指标，以产生可靠的参数，以区分点分布和动态系统。主要工具是分析由径向参数的生长产生的高图的几何演化，以在包含数据点的空间中选择适当的度量。一旦获得了这种几何动力学，我们就会使用Lebesque和Sobolev类型规范，以比较获得的基本几何信号。
In this paper we aim to use different metrics in the Euclidean space and Sobolev type metrics in function spaces in order to produce reliable parameters for the differentiation of point distributions and dynamical systems. The main tool is the analysis of the geometrical evolution of the hypergraphs generated by the growth of the radial parameters for a choice of an appropriate metric in the space containing the data points. Once this geometric dynamics is obtained we use Lebesque and Sobolev type norms in order to compare the basic geometric signals obtained.
