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Elastic Graph Neural Networks

ICML 2021 · Graph learning › GNN architectures · approach: Expressive equivariant message passing · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add ℓ1-based smoothing to ℓ2 smoothingElastic GNN · Cora, CiteSeer, PubMed, Coauthor Physics, Amazon Photoaccuracy (%): 79.6 -> 82.7; 68.9 -> 70.9; 77.6 -> 79.4; 93.3 -> 94.2; 90.3 -> 91.3Helped
Add ℓ1-based smoothing to ℓ2 smoothingElastic GNN · Coauthor CS, Amazon Computersaccuracy (%): 91.6 -> 92.5; 79.8 -> 80.7No clear effect
Add ℓ1-based smoothing (ablation)ℓ2-only Elastic GNN · Cora, 15% perturbationaccuracy (%): 72.2 -> 77.2Helped
Add ℓ2-based smoothing (ablation)ℓ21-only Elastic GNN · Cora, 15% perturbationaccuracy (%): 75.7 -> 77.2Helped
Use ℓ21 coupling instead of independent ℓ1 penalties (ablation)Elastic GNN with ℓ1+ℓ2 · Cora, 15% perturbationaccuracy (%): 76.9 -> 77.2Helped
Use ℓ21 coupling instead of independent ℓ1 penalties (ablation)Elastic GNN · adversarial graph attacksaccuracy (%)Helped
Combine ℓ21 and ℓ2 smoothing rather than use either alone (ablation)Elastic GNN · adversarial graph attacksaccuracy (%)Helped
Use ℓ21 smoothing rather than ℓ2-only smoothing (ablation)Elastic GNN · adversarial graph attacksaccuracy (%)Helped
Use ℓ21+ℓ2 smoothing rather than ℓ2 smoothing (ablation)Elastic GNN · Corawrong-edge/correct-edge difference ratio: 1.57 -> 2.03Helped
Use ℓ21+ℓ2 smoothing rather than ℓ2 smoothing (ablation)Elastic GNN · Cora, CiteSeer, PubMedsparsity ratio: 2% -> 37%; 16% -> 74%; 11% -> 42%Helped
Increase propagation steps K (ablation)EMP · Cora, CiteSeer, PubMedclassification accuracyHelped
Run EMP message passing iterations (ablation)Elastic GNN · elastic estimator objectiveobjective valueHelped

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