arXiv Machine Learning

Distilling Graph Geometry: Knowledge Gap from GNNs to MLPs

The paper introduces G^2MLP, a graph‑free MLP trained via distillation from a GNN teacher while preserving the teacher’s graph‑induced geometry. It identifies two spectral failure modes—underfit on sparse graphs and overfit on dense graphs—caused by neglecting geometry during distillation. By using Ollivier‑Ricci curvature to guide supervision between prediction‑level and representation‑level alignment, G^2MLP improves node‑classification performance and reduces the teacher‑student rank gap across benchmarks.

arXiv Machine Learning
Oct 2

Model-to-Data Distillation for Graph Neural Networks

The paper introduces Model-to-Data (M2D) distillation, a method that transfers properties learned by a complex graph neural network (GNN) teacher into the graph data itself. By jointly learning augmented node features and graph structure, M2D encodes the teacher’s behavior, allowing simpler GNNs to recover high predictive performance, fairness, and robustness. The resulting graph can be reused with various downstream models, enabling them to approximate sophisticated teachers such as fairness-aware GNNs, Graph Attention Networks, and Graph Transformers.

By Debolina Halder Lina, Arlei Silva
arXiv Machine Learning
Jun 5

The Post-GCN Decade Revisited: Curvature-Stratified Evaluation of Relational Learning

arXiv:2606. 06397v1 Announce Type: new Abstract: Current evaluation practices in relational learning rely heavily on flat leaderboards that average performance across heterogeneous datasets, implicitly assuming a uniform underlying structure.

By Shuo Wang, Xiangyu Wang, Quanxin Wang, Bailin Wu, Bokui Wang, Shunyang Huang, Boyan Deng, Haonan Liu, Ruiyi Fang, Zhenxiang Xu, Boyu Wang, Zhao Kang