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How Powerful are K-hop Message Passing Graph Neural Networks

NeurIPS 2022 · Graph learning › GNN architectures · approach: Subgraph and distance-aware GNNs · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add peripheral subgraph information (KP-GNN) to K-hop message passing (ablation)K-GIN · SR25 K=1accuracy: 6.67 -> 100Helped
add peripheral subgraph information (ablation)K-GIN · CSL K=2 (SPD)accuracy: 32 -> 52.7Helped
add peripheral subgraph information (ablation)K-GIN · EXP K=2 (SPD)accuracy: 50 -> 100Helped
increase hops K from 2 to 4 (ablation)K-GIN · CSL (SPD)accuracy: 32 -> 92.7Helped
use shortest path distance kernel instead of graph diffusion (ablation)K-GIN K=3 · EXPaccuracy: 66.9 -> 100Helped
use shortest path distance kernel instead of graph diffusion (ablation)K-GIN K=4 · CSLaccuracy: 62.7 -> 92.7Helped
use shortest path distance vs graph diffusion kernel in KP-GIN (ablation)KP-GIN · CSL K=2accuracy: 52.7 vs 52.7No clear effect
add peripheral subgraph info to K-GIN+ for graph connectedness (ablation)K-GIN+ · connectedness log10(MSE)log10(MSE): -2.1782 -> -4.4322Helped
add peripheral subgraph info to K-GIN+ for diameter (ablation)K-GIN+ · diameter log10(MSE)log10(MSE): -3.9695 -> -3.9361Hurt
add peripheral subgraph info to K-GIN+ for 4-cycle counting (ablation)K-GIN+ · 4-cycle MAEMAE: 0.2079 -> 0.0395Helped
KP-GIN' variant instead of KP-GIN+ (ablation)KP-GIN · QM9 and ZINCtest MAE: 0.111 -> 0.093 (ZINC MAE)Helped

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