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Ollivier-Ricci curvature convergence in random geometric graphs
Even though there exist numerous nonequivalent definitions of graph curvature, none is known to converge in any limit to any traditional definition of curvature of a Riemannian manifold.
Probability Disordered Systems and Neural Networks Social and Information Networks General Relativity and Quantum Cosmology Physics and Society
Global graph curvature
We show that optimal curvature essentially depends on dimensionality of the embedding space and loss function one aims to minimize via embedding.
