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A Complete Expressiveness Hierarchy for Subgraph GNNs via Subgraph Weisfeiler-Lehman Tests

ICML 2023 · Graph learning › GNN architectures · approach: Weisfeiler-Leman expressivity hierarchies · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: TriangleMAE: 0.0098 -> 0.0064Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: Tailed Tri.MAE: 0.0090 -> 0.0067Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: StarMAE: 0.0089 -> 0.0078Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: 4-CycleMAE: 0.0107 -> 0.0079Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: 5-CycleMAE: 0.0142 -> 0.0108Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · Counting Substructure: 6-CycleMAE: 0.0189 -> 0.0154Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · ZINC SubsetMAE: 0.082±0.003 -> 0.070±0.005Helped
add single-point aggregation agg^P_vv to GNN-SSWL (ablation)GNN-SSWL · ZINC FullMAE: 0.026±0.001 -> 0.022±0.002Helped
use GNN-SSWL+ rather than the strongest listed prior node-based subgraph GNNCounting Substructure: 6-Cycle · Counting Substructure: 6-CycleMAE: 0.0550 -> 0.0154Helped
use GNN-SSWL+ rather than the strongest listed prior subgraph GNNZINC Full · ZINC FullMAE: 0.024±0.003 -> 0.022±0.002Helped

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