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Position-aware Graph Neural Networks

ICML 2019 · Graph learning › GNN architectures · approach: GNN generalization theory · 78 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use shared anchor-set distances to encode node positionsP-GNN · GridROC AUC: 0.566 ± 0.052 -> 0.940 ± 0.027Helped
Use shared anchor-set distances to encode node positionsP-GNN · Communities (pairwise node classification)ROC AUC: 0.620 ± 0.022 -> 1.0 ± 0.001Helped
Use shared anchor-set distances to encode node positionsP-GNN · EmailROC AUC: 0.545 ± 0.012 -> 0.640 ± 0.029Helped
Use shared anchor-set distances to encode node positionsP-GNN · ProteinROC AUC: 0.528 ± 0.011 -> 0.631 ± 0.175Helped
Use truncated 2-hop rather than exact shortest-path distance (ablation)P-GNN-E-2L · GridROC AUC: 0.940 ± 0.027 -> 0.694 ± 0.066Hurt
Use truncated 2-hop rather than exact shortest-path distance (ablation)P-GNN-E-2L · CommunitiesROC AUC: 0.985 ± 0.008 -> 0.991 ± 0.003Helped
Use truncated 2-hop rather than exact shortest-path distance (ablation)P-GNN-E-2L · PPIROC AUC: 0.808 ± 0.003 -> 0.805 ± 0.003No clear effect
Use truncated 2-hop rather than exact shortest-path distance (ablation)P-GNN-E-2L · ProteinROC AUC: 0.631 ± 0.175 -> 0.729 ± 0.176Helped
Increase depth from 1 layer to 2 layers (ablation)P-GNN-E · GridROC AUC: 0.879 ± 0.039 -> 0.940 ± 0.027Helped
Increase depth from 1 layer to 2 layers (ablation)P-GNN-E · CommunitiesROC AUC: 0.985 ± 0.005 -> 0.985 ± 0.008No clear effect
Increase depth from 1 layer to 2 layers (ablation)P-GNN-E · ProteinROC AUC: 0.507 ± 0.006 -> 0.631 ± 0.175Mixed
Simplify anchor-set aggregation to use only the closest node in each set (ablation)P-GNN · Experiments (overall)computational complexity: O(n^2 log^2n) -> O(n log^2n)Helped

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