Hyperbolic Delaunay Geometric Alignment

arXiv:2404.08608v1 Announce Type: new
Abstract: Hyperbolic machine learning is an emerging field aimed at representing data with a hierarchical structure. However, there is a lack of tools for evaluation and analysis of the resulting hyperbolic data representations. To this end, we propose Hyperbolic Delaunay Geometric Alignment (HyperDGA) -- a similarity score for comparing datasets in a hyperbolic space. The core idea is counting the edges of the hyperbolic Delaunay graph connecting datapoints across the given sets. We provide an empirical …

abstract alignment analysis and analysis arxiv cs.lg data datasets evaluation hierarchical however machine machine learning tools type