MATH · IN · MODELS

Hyperbolic Graph Neural Networks (HGCN / HyboNet)

Various (Chami et al. 2019 HGCN; Chen et al. 2022 HyboNet)

Structures found in this family (1)

Curvature profile of the representation manifold

By model (2)

HGCN (Hyperbolic Graph Convolutional Network, Poincare ball, learnable curvature)
Curvature profile of the representation manifold
HyboNet (fully hyperbolic GNN, Lorentz model)
Curvature profile of the representation manifold

Observations (1)

Hyperbolic GNNs achieve low-distortion embeddings only on tree-like graphs under geometry-aligned tasks

Papers

Hyperbolic Graph Neural Networks Under the Microscope: The Role of Geometry-Task Alignment (2026)