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Enhancing Graph Invariant Learning from a Negative Inference Perspective

ICML 2025 · Graph learning › Graph self-supervised learning · approach: Graph out-of-distribution generalization

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Proposes NeGo, a graph OOD framework that infers environments via a class-specific negative prompt (treating extra-class samples as environments) and uses the inferred environment embedding to guide invariant subgraph extraction.

Problem

Graph out-of-distribution generalization under complex environment shifts, where existing environment-centered invariant learning methods treat spurious subgraphs as the environment and thus have a narrow environment inference space.

Approach

Replace positive environment inference (spurious subgraphs as environments) with negative inference: a class-specific learnable negative prompter (cross-attention over a GNN graph embedding) models all extra-class samples as environments, and an attention-based residual interaction injects the inferred environment embedding into node representations before causal subgraph extraction.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NeGo instead of LECIGraph OOD prediction · GOOD-HIV-scaffold ID valROC-AUC: 74.04±0.65 -> 75.21±0.73*Helped
Use NeGo instead of LECIGraph OOD prediction · GOOD-HIV-size OOD valROC-AUC: 65.44±1.78 -> 65.92±1.82*Helped
Use NeGo instead of LECIGraph OOD prediction · DrugOOD-assay OOD valROC-AUC: 73.45±0.17 -> 73.94±0.25*Helped
Use NeGo instead of LECIGraph OOD prediction · DrugOOD-size ID valROC-AUC: 65.93±0.43 -> 65.49±0.73Hurt
Use NeGo instead of LECIGraph OOD prediction · GOOD-SST2 ID valaccuracy: 82.93±0.22 -> 82.72±0.51Hurt
Use NeGo instead of LECIGraph OOD prediction · GOOD-SST2 OOD valaccuracy: 83.44±0.27 -> 84.16±0.23*Helped
Add the negative prompter and negative loss (ablation)NeGo · DrugOOD-assayROC-AUC: 70.37 -> 73.20Helped
Add the negative prompter and negative loss (ablation)NeGo · GOOD-Twitteraccuracy: 58.41 -> 60.82Helped
Integrate inferred environment information during causal-subgraph extraction (ablation)NeGo · DrugOOD-assayROC-AUC: 71.71 -> 73.20Helped
Integrate inferred environment information during causal-subgraph extraction (ablation)NeGo · GOOD-Twitteraccuracy: 59.17 -> 60.82Helped

Limitations

Experimental setup

Datasets: GOOD-Motif GOOD-CMNIST GOOD-HIV DrugOOD LBAP-core-ic50 GOOD-SST2 GOOD-Twitter SPURIOUS-MOTIF

Benchmarks: GOOD-HIV-scaffold GOOD-HIV-size DrugOOD-assay DrugOOD-size GOOD-SST2 GOOD-Twitter GOOD-Motif GOOD-CMNIST SPURIOUS-MOTIF

Metrics: ROC-AUC accuracy training time (s/epoch)

Baselines: ERM IRM V-Rex IB-IRM DIR GSAT CAL CIGA GIL LECI GALA

Builds on: IRM DIR GSAT CIGA LECI GALA

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