Network data, commonly used throughout the physical, social, and biological sciences, consist of nodes (individuals) and the edges (interactions) between them. One way to represent the complex, high-dimensional structure in network data is to embed the graph into a low-dimensional geometric space. Curvature of this space, in particular, provides insights about structure in the graph, such as the propensity to form triangles or present tree-like structure.
翻译:在整个物理、社会和生物科学中常用的网络数据由节点(个人)和它们之间的边缘(互动)组成。在网络数据中代表复杂、高维结构的一种方法是将该图嵌入一个低维几何空间。特别是,这一空间的曲线提供了图中结构的洞察力,例如形成三角形的倾向或目前的树形结构。