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Improving GNN Calibration with Discriminative Ability: Insights and Strategies

AAAI 2024 · Graph learning › GNN architectures · approach: Robustness, privacy, and fairness of GNNs · 1 citations (OpenAlex)

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Argues that GNN post-hoc calibration should also preserve or improve discriminative ability (AUROC) between correct and incorrect predictions, and proposes DC(GNN), an MLP temperature-scaling calibrator fed with discriminative signals including a novel self-loop same-class-neighbor ratio.

Problem

Existing GNN calibration methods reduce calibration error (ECE) but often fail to improve, and sometimes degrade, the ability to discriminate correct from incorrect predictions (AUROC). GNNs are known to be underconfident.

Approach

Diagnoses three causes of calibration failure (over-calibration from regularization biases, insufficient discriminative information in inputs to post-hoc calibrators, and distribution shift between train and test outputs) and builds a node-wise temperature-scaling MLP that takes discriminative signals (confidence, same-class-neighbor ratio, uncertainty mass, and a novel self-loop same-class-neighb

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DC(GNN) instead of the strongest baselineGCN calibration · CSAUROC (%): 89.63±0.50 -> 91.22±0.56Helped
Use DC(GNN) instead of the strongest baselineGCN calibration · PhysicsAUROC (%): 91.95±0.70 -> 92.64±0.56Helped
Add self-loop same-class-neighbor ratio Rsl (ablation)DC(GNN) with C and R · CSAUROC (%): 88.70±0.56 -> 90.64±0.63Helped
Add self-loop same-class-neighbor ratio Rsl (ablation)DC(GNN) with C and R · PubmedAUROC (%): 81.62% to 82.47%Helped
Use ground-truth homophily as the input signal (ablation)DC(GNN) · ComputersAUROC (%): 83.20±0.76 -> 94.84±0.57Helped
Use ground-truth homophily as the input signal (ablation)DC(GNN) · CoraFullECE (%): 2.49±0.56 -> 5.09±0.38Hurt
Use only confidence C instead of the combined signal set (ablation)DC(GNN) · PubmedAUROC (%): 81.47±0.45 -> 82.76±0.50Hurt
Add same-class-neighbor ratio R to confidence C (ablation)DC(GNN) · CSAUROC (%): 88.65±0.51 -> 88.70±0.56Helped

Surprising findings

Limitations

Experimental setup

Datasets: Cora Citeseer Pubmed Computers Photo CS Physics CoraFull

Benchmarks: Cora Citeseer Pubmed Computers Photo CS Physics CoraFull

Metrics: ECE AUROC accuracy

Baselines: Uncal GCL CRL TS VS ETS CaGCN RBS GATS

Builds on: temperature scaling GATS CaGCN RBS

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