Low-dimensional statistical manifold embedding of directed graphs

Thorben Funke, Tian Guo, Alen Lancic, Nino Antulov-Fantulin

TL;DR: We propose a novel node embedding of directed graphs to statistical manifolds and analyze connections to divergence, geometry and efficient learning procedure.

Abstract: We propose a novel node embedding of directed graphs to statistical manifolds, which is based on a global minimization of pairwise relative entropy and graph geodesics in a non-linear way. Each node is encoded with a probability density function over a measurable space. Furthermore, we analyze the connection of the geometrical properties of such embedding and their efficient learning procedure. Extensive experiments show that our proposed embedding is better preserving the global geodesic information of graphs, as well as outperforming existing embedding models on directed graphs in a variety of evaluation metrics, in an unsupervised setting.

Keywords: graph embedding, information geometry, graph representations

Code: [ funket/dinet_public](https://github.com/funket/dinet_public)