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Harnessing Feature Resonance under Arbitrary Target Alignment for Out-of-Distribution Node Detection

NeurIPS 2025 · Label-efficient and robust learning › OOD and anomaly detection · approach: Provable and feature-based OOD detection · 0 citations (OpenAlex)

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Proposes RSL, a label-free graph OOD node detector that scores nodes by the one-step representation movement of unlabeled nodes when known ID nodes are aligned to a random target, then trains a classifier with SGLD-generated synthetic OOD nodes.

Problem

Out-of-distribution node detection in graphs without multi-class labels or a well-defined pretext classification task.

Approach

Feature Resonance: when known ID node representations are optimized toward an arbitrary fixed target, unlabeled ID nodes move more per training step than OOD nodes. A micro-level proxy (one-step representation change, norm of Δh) is used to score nodes, with the resonance period picked on a binary ID/OOD validation set, and the scores seed Langevin-based synthetic OOD nodes for training a classifi

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add the trained OOD classifier to the resonance-score filter (ablation)RSL · Squirrel, WikiCS, YelpChi, Amazon, and RedditAUROC: 61.52 -> 64.12; 79.15 -> 84.01; 65.42 -> 66.11; 87.43 -> 90.03; 52.37 -> 64.83Helped
add synthetic OOD nodes (ablation)RSL · Squirrel, WikiCS, YelpChi, Amazon, and RedditAUROC: 60.46 -> 64.12; 81.21 -> 84.01; 65.15 -> 66.11; 87.81 -> 90.03; 61.36 -> 64.83Helped
align ID representations to a single random vector instead of true multi-label targets (ablation)RSL w/o classifier · Squirrel and WikiCSAUROC: 61.63 -> 61.52; 71.03 -> 79.15Mixed
increase the available label proportion for supervised-contrastive representation pretraining (ablation)RSL · WikiCSAUROC: 84.01 -> 89.07Helped
increase graph homophily by replacing heterophilous edges with homophilous edges (ablation)RSL · CiteseerAUROC: 90.44 -> 98.23Helped
use RSL instead of the strongest listed baselineOOD node detection · Squirrel, WikiCS, YelpChi, Amazon, Reddit, Cora, Citeseer, Pubmed, and ChameleonAUROC: 64.15 -> 64.12; 78.46 -> 84.01; 62.04 -> 66.11; 86.57 -> 90.03; 63.32 -> 64.83; 93.50 -> 94.14; 89.75 -> 90.44; 88.43 ->Mixed

Surprising findings

Limitations

Experimental setup

Datasets: Squirrel WikiCS Cora Citeseer Pubmed Chameleon YelpChi Amazon Reddit ENZYMES PROTEINS ClinTox

Benchmarks: Squirrel WikiCS YelpChi Amazon Reddit Cora Citeseer Pubmed Chameleon ENZYMES PROTEINS ClinTox

Metrics: AUROC AUPR FPR@95

Baselines: LOF-KNN MLPAE GCNAE GAAN DOMINANT ANOMALOUS SL-GAD GOAD NeuTral AD MSP Energy GKDE

Builds on: EnergyDef GNNSafe SSD GRASP

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