Uncertainty Quantification over Graph with Conformalized Graph Neural Networks
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Abstract (arXiv)
Graph Neural Networks (GNNs) are powerful machine learning prediction models on graph-structured data. However, GNNs lack rigorous uncertainty estimates, limiting their reliable deployment in settings where the cost of errors is significant. We propose conformalized GNN (CF-GNN), extending conformal prediction (CP) to graph-based models for guaranteed uncertainty estimates. Given an entity in the graph, CF-GNN produces a prediction set/interval that provably contains the true label with pre-defined coverage probability (e.g. 90%). We establish a permutation invariance condition that enables the validity of CP on graph data and provide an exact characterization of the test-time coverage. Moreover, besides valid coverage, it is crucial to reduce the prediction set size/interval length for practical use. We observe a key connection between non-conformity scores and network structures, which motivates us to develop a topology-aware output correction model that learns to update the prediction and produces more efficient prediction sets/intervals. Extensive experiments show that CF-GNN achieves any pre-defined target marginal coverage while significantly reducing the prediction set/interval size by up to 74% over the baselines. It also empirically achieves satisfactory conditional coverage over various raw and network features.
Key facts. Cited by 79 papers in the map (data through 7 Oct 2026). Builds on 39 of its 55 references that are in the map. First posted on arXiv 23 May 2023.
Builds on
39 of 55 references.
References · 39
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- 2019Conformalized Quantile Regressioncited by 620
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- 2020Uncertainty Aware Semi-Supervised Learning on Graph Datacited by 95
- 2021Be Confident! Towards Trustworthy Graph Neural Networks via Confidence Calibrationcited by 91
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- 2022Distribution Free Prediction Sets for Node Classificationcited by 28
- 2023Conformal Prediction for Network-Assisted Regressioncited by 14
- 2017Conformal k-NN Anomaly Detector for Univariate Data Streamscited by 13
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Citing papers per year: 2023: 4; 2024: 36; 2025: 24; 2026: 15.
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