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Learning to Reweight for Generalizable Graph Neural Network

AAAI 2024 · Graph learning › GNN architectures · approach: Simple and scalable GNNs · 18 citations (OpenAlex)

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Proposes L2R-GNN, which learns per-graph weights via a nonlinear graph decorrelation over clusters of representation variables plus a first-order bi-level optimization, to improve GNN out-of-distribution generalization on graph classification.

Problem

GNNs degrade under distribution shifts between training and testing graphs because they exploit spurious correlations learned under the i.i.d. assumption, including size shifts and scaffold splits on molecular graphs.

Approach

Instead of decorrelating all pairs of representation variables (as StableGNN and OOD-GNN do), cluster variables by the stability of their correlations and learn sample weights that remove dependencies only between different clusters, with a momentum weight queue and first-order bi-level optimization to avoid overfitting.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply L2R-GNN instead of OOD-GNNGraph property prediction · TOX21ROC-AUC: 76.2±1.3 -> 78.6±1.2Helped
Apply L2R-GNN instead of StableGNNGraph property prediction · BACEROC-AUC: 79.2±2.4 -> 81.9±1.0Helped
Apply L2R-GNN instead of OOD-GNNGraph property prediction · BBBPROC-AUC: 68.4±2.8 -> 70.6±1.3Helped
Apply L2R-GNN instead of OOD-GNNGraph property prediction · CLINTOXROC-AUC: 89.1±1.6 -> 91.9±1.5Helped
Apply L2R-GNN instead of OOD-GNNGraph property prediction · HIVROC-AUC: 78.2±1.2 -> 79.7±1.0Helped
Apply L2R-GNN instead of OOD-GNNGraph property prediction · ESOLRMSE: 0.94±0.06 -> 0.84±0.07Helped
Apply L2R-GNN instead of StableGNNGraph classification with graph-size distribution shift · COLLABaccuracy: 67.3±1.4 -> 68.2±1.4Helped
Apply L2R-GNN instead of OOD-GNNGraph classification with graph-size distribution shift · PROTEINSaccuracy: 77.1±1.1 -> 78.9±0.7Helped
Apply L2R-GNN instead of OOD-GNNGraph classification with graph-size distribution shift · D&Daccuracy: 79.1±1.3 -> 80.8±1.2Helped
Add bi-level optimization (ablation)L2R-GNN · D&Dvalidation lossHelped
Add graph decorrelation (ablation)L2R-GNN · Graph classificationaccuracyHelped

Surprising findings

Limitations

Experimental setup

Datasets: COLLAB PROTEINS D&D OGBG-MOLTOX21 OGBG-MOLBACE OGBG-MOLBBBP OGBG-MOLCLINTOX OGBG-MOLHIV OGBG-MOLESOL synthetic wheel-motif graphs

Benchmarks: COLLAB PROTEINS D&D TOX21 BACE BBBP CLINTOX HIV ESOL synthetic wheel-motif dataset

Metrics: accuracy ROC-AUC RMSE

Baselines: GCN GIN SGC JKNet FactorGCN PNA TopKPool SAGPool OOD-GNN StableGNN

Builds on: OOD-GNN StableGNN random Fourier features gradient-based meta-learning HSIC

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