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Improving Graph Neural Networks with Learnable Propagation Operators

ICML 2023 · Graph learning › GNN architectures · approach: Oversmoothing and heterophily · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
learn a separate propagation weight for each layer and channel instead of one global weight (ablation)ωGCN · Cora, Citeseer, and Pubmed (semi-supervised; 64 layers)accuracy (%): 84.4 -> 85.9; 71.8 -> 73.3; 80.3 -> 81.1Helped
add channel-wise weights to the per-layer propagation weights (ablation)ωGCN · Cora, Citeseer, and Pubmed (semi-supervised; 64 layers)accuracy (%): 84.8 -> 85.9; 72.6 -> 73.3; 80.8 -> 81.1Helped
learn a separate propagation weight for each layer and channel instead of one global weight (ablation)ωGAT · Cora, Citeseer, and Pubmed (semi-supervised; 64 layers)accuracy (%): 83.9 -> 84.8; 72.9 -> 74.0; 80.9 -> 81.8Helped
add channel-wise weights to the per-layer propagation weights (ablation)ωGAT · Cora, Citeseer, and Pubmed (semi-supervised; 64 layers)accuracy (%): 84.0 -> 84.8; 73.2 -> 74.0; 81.4 -> 81.8Helped
allow propagation weights to learn mixed-sign smoothing and sharpening operators rather than using the fixed GCN operatorωGCN · Synthetic node-gradient regressionloss: 1e-1 -> 1e-12Helped
replace a fixed non-negative propagation operator with learnable weightsdeep GCN and GAT · Cora, Citeseer, and Pubmed (deep node classification)node-feature energyHelped
use more ωGCN layersωGCN · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%): Cora: 82.6 -> 85.9; Citeseer: 71.3 -> 73.3; Pubmed: 79.7 -> 81.1Mixed
use more ωGAT layersωGAT · Cora, Citeseer, and Pubmed (semi-supervised node classification)accuracy (%): Cora: 83.4 -> 84.8; Citeseer: 72.5 -> 74.0; Pubmed: 80.3 -> 81.8Helped
add learnable propagation weights to GCNGCN · Ogbn-arxivaccuracy (%): 71.74 -> 73.02Helped
add learnable propagation weights to GATGAT · Ogbn-arxivaccuracy (%): 71.59 -> 72.76Helped

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