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Beyond Homophily in Graph Neural Networks: Current Limitations and Effective Designs

NeurIPS 2020 · Graph learning › GNN architectures · approach: GNN generalization theory · 171 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Separate ego and neighbor embeddings (ablation)H2GCN-1 · syn-products, h<0.7accuracy: up to 40%Helped
Include the ego-embedding alongside 1-hop and 2-hop neighborhoods (ablation)H2GCN-1 · syn-products, heterophilyaccuracyHelped
Include 1-hop neighbors alongside the ego and 2-hop neighborhoods (ablation)H2GCN-1 · syn-productsaccuracyHelped
Include 2-hop neighbors alongside the ego and 1-hop neighborhoods (ablation)H2GCN-1 · syn-productsaccuracyHelped
Combine intermediate representations from all rounds (ablation)H2GCN-2 · syn-productsaccuracyHelped
Add the first-round intermediate representation to the final representation (ablation)H2GCN-2 · syn-productsaccuracyHelped
Add the second-round intermediate representation to the final representation (ablation)H2GCN-2 · syn-productsaccuracyHelped
Combine the ego embedding with two-round intermediate representations (ablation)GCN · syn-cora, h=0.1accuracy: 20%Helped
Add jumping-knowledge intermediate representations (ablation)GCN · heterophily benchmarksaccuracy: up to 14%Helped
Add jumping-knowledge intermediate representations (ablation)GCN-Cheby · heterophily benchmarksaccuracy: up to 8%Helped
Add jumping-knowledge intermediate representations (ablation)GraphSAGE · heterophily benchmarksaccuracyNo clear effect
Add jumping-knowledge intermediate representations (ablation)GraphSAGE, GCN, and GCN-Cheby · homophily benchmarksaccuracy: gaps mostly less than 2%No clear effect

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