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Found 7 papers, 2 papers with code
Rewiring Networks for Graph Neural Network Training Using Discrete Geometry
Information over-squashing is a phenomenon of inefficient information propagation between distant nodes on networks.
Curved Markov Chain Monte Carlo for Network Learning
We present a geometrically enhanced Markov chain Monte Carlo sampler for networks based on a discrete curvature measure defined on graphs.
Network geometry and market instability
The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices.
Ricci Curvature Based Volumetric Segmentation of the Auditory Ossicles
Compared to the state-of-the-art methods which usually use the gradient operator and some normalization terms, we propose to add a Ricci curvature term to the commonly employed energy function.
Comparative analysis of two discretizations of Ricci curvature for complex networks
We have performed an empirical comparison of two distinct notions of discrete Ricci curvature for graphs or networks, namely, the Forman-Ricci curvature and Ollivier-Ricci curvature.
Differential Geometry Discrete Mathematics
Forman curvature for complex networks
We adapt Forman's discretization of Ricci curvature to the case of undirected networks, both weighted and unweighted, and investigate the measure in a variety of model and real-world networks.
Molecular Networks Disordered Systems and Neural Networks Physics and Society
Ricci Curvature of the Internet Topology
Analysis of Internet topologies has shown that the Internet topology has negative curvature, measured by Gromov's "thin triangle condition", which is tightly related to core congestion and route reliability.
Social and Information Networks Computational Geometry Networking and Internet Architecture Physics and Society
