Curvature Filtrations for Graph Generative Model Evaluation

Southern, Joshua, Wayland, Jeremy, Bronstein, Michael, Rieck, Bastian

arXiv.org Machine Learning 

This entails being able to harness salient attributes of graphs in an efficient manner. Curvature constitutes one such property that has recently proved its utility in characterising graphs. Its expressive properties, stability, and practical utility in model evaluation remain largely unexplored, however. We combine graph curvature descriptors with emerging methods from topological data analysis to obtain robust, expressive descriptors for evaluating graph generative models.

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