Covariance Kernels on Unordered Pair Spaces: Theory and Applications to Network-Valued Data
无序对空间上的协方差核:理论与网络数据应用
Many scientific problems are relational: the quantity of interest is a connection between two objects, while information about similarity is available for the objects themselves. We develop a covariance framework for unordered relationships that transfers object-level geometry to the relations they form while preserving endpoint identity and invariance to ordering. Building on symmetric pairwise-kernel representations, we develop theory for the loop-free domains used in…