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From Local Structures to Size Generalization in Graph Neural Networks

ICML 2021 · Graph learning › GNN architectures · approach: GNN generalization theory · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Pattern-tree SSL pretext task (pretraining) added to a 3-layer GNNreal social and biological graph datasets (domain adaptation) · 7 datasets averagetest accuracy: 63.5% -> 67.5%Helped
Pattern-tree SSL task used as multi-task learning instead of pretrainingreal datasets · 7 datasets averagetest accuracy: 63.5% -> 63.6%Helped
Pattern-tree SSL pretrainingdatasets with high local-pattern discrepancy (IMDB, Deezer, Proteins, Twitch) · domain-shift social/biological datasetstest accuracy: about 5.4% average gain over vanillaHelped
Pattern-tree SSL pretrainingDeezer · Deezertest accuracy: 41.1 -> 44.0 is improvement in the table; vanilla 41.1 vs Pattern PT 44.0Hurt
Scaling train connectivity radius by sqrt(2) to keep expected node degree matched (vs unscaled) (ablation)first-order GNN on max-clique task · geometric graphs, size generalizationtest loss (lower is better): 402 -> 96 (1-layer)Helped
Matching average degree between train and test (p=0.15 vs p=0.3) in G(n,p) (ablation)first-order GNN student-teacher and edge count tasks · G(n,p), test n=100loss: edge count loss 1.8e6 -> 5.1; student-teacher 3500 -> 0.02 (test loss, mean)Helped
Increasing GNN depth from 1 to 3 layers under pattern distribution shift (max clique) (ablation)first-order GNN · max-clique, rho ratio 1test loss: 402 (1-layer) -> 2325 (3-layer)Hurt
Semi-supervised pattern pretraining with 0-5 labeled target examplesreal datasets, semi-supervised DA · average over datasetsclassification accuracyHelped

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