4 papers
Adjacency-degree algebras and spectral determination of graphs
Zhipeng Lu, Pengxiang Li
McKay proved that the spectra of all polynomial functions of the adjacency matrix and the diagonal degree matrix determine a tree. We prove a principal version of this theo…
Geometry-aware Distance Measure for Diverse Hierarchical Structures in Hyperbolic Spaces
Pengxiang Li, Yuwei Wu, Zhi Gao +5
Learning in hyperbolic spaces has attracted increasing attention due to its superior ability to model hierarchical structures of data. Most existing hyperbolic learning methods use…
A Set-to-Set Distance Measure in Hyperbolic Space
Pengxiang Li, Wei Wu, Zhi Gao +6
We propose a hyperbolic set-to-set distance measure for computing dissimilarity between sets in hyperbolic space. While point-to-point distances in hyperbolic space effectively cap…
Residual Hyperbolic Graph Convolution Networks
Yangkai Xue, Jindou Dai, Zhipeng Lu +2
Hyperbolic graph convolutional networks (HGCNs) have demonstrated representational capabilities of modeling hierarchical-structured graphs. However, as in general GCNs, over-smooth…