The paper proposes Hyperbolic-PDE GNN, a wave-equation-based message passing framework that it claims constrains node features to the Laplacian eigenbasis and improves spectral GNNs, although the supporting derivation contains a matrix inconsistency.
Hyperbolic graph convolutional neural networks
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Hyperbolic-PDE GNN: Spectral Graph Neural Networks in the Perspective of A System of Hyperbolic Partial Differential Equations
The paper proposes Hyperbolic-PDE GNN, a wave-equation-based message passing framework that it claims constrains node features to the Laplacian eigenbasis and improves spectral GNNs, although the supporting derivation contains a matrix inconsistency.