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Ricci flow
Partial differential equation
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hypergraphs (1) Β· over-smoothing (1) Β· Ricci flow (1) Β· neural diffusion (1) Β· graph neural networks (1)
π Key Information
In differential geometry and geometric analysis, the Ricci flow ( REE-chee, Italian: [ΛrittΚi]), sometimes also referred to as Hamilton's Ricci flow, is a certain partial differential equation for a Riemannian metric. It is often said to be analogous to the diffusion of heat and the heat equation, due to formal similarities in the mathematical structure of the equation. However, it is nonlinear and exhibits many phenomena not present in the study of the heat equation.
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πΊπΈ Tackling Over-smoothing on Hypergraphs: A Ricci Flow-guided Neural Diffusion Approach
arXiv:2603.15696v1 Announce Type: cross Abstract: Hypergraph neural networks (HGNNs) have demonstrated strong capabilities in modeling complex higher...