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Towards Understanding Generalization of Graph Neural Networks

ICML 2023 · Graph learning › GNN architectures · approach: GNN generalization theory · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SGC (linear, fixed propagation) instead of GCNGCN-style node classifier · Cora, Citeseer, Pubmedaccuracy and loss gap: Cora acc gap 9.76 -> 5.33; Citeseer 22.11 -> 11.50Helped
Use APPNP (personalized PageRank propagation) instead of GCNGCN-style node classifier · Cora, Citeseer, Pubmedloss gap: Cora loss gap 0.30 -> 0.16; Citeseer 0.77 -> 0.25Helped
Increase GCN depth from two to six layers (ablation)GCN · Cora, Citeseeraccuracy gap: Cora 9.76 -> 13.45; Citeseer 22.11 -> 26.48Hurt
Increase GCNII depth from two to six layers (ablation)GCNII · Cora, Citeseeraccuracy gap: Cora 7.69 -> 6.24; Citeseer 14.85 -> 13.49No clear effect
Use GCNII (initial residual and identity mapping) instead of GCNGCN-style node classifier · Cora, Citeseer, Pubmedaccuracy gap: Cora 9.76 -> 7.69; Citeseer 22.11 -> 14.85Helped
Use GPR-GNN (learnable spectral coefficients) instead of APPNP (ablation)APPNP · Cora, Citeseer, Pubmedaccuracy and loss gap: Cora acc gap 7.72 -> 8.90; Citeseer 9.99 -> 19.08Hurt
Use SGC instead of GCNGCN-style node classifier · Citeseertest accuracy: 71.78 -> 74.37Helped
Use SGC or APPNP instead of GCNGCN-style node classifier · Coratest accuracy: GCN 85.91 vs SGC 82.39 and APPNP 79.14Hurt
Train on gradient-based transductive SGD with more iterations T (generalization gap of GCN loss) (ablation)GCN · Cora, Citeseerloss gap: loss gap increases with iterationsHurt

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