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Evaluating Epistemic Uncertainty: Beyond OOD Detection and Active Learning
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Proposes evaluating epistemic uncertainty by its ability to identify regret (reducible error) via a unified constrained selective-prediction framework, and benchmarks UQ methods on dense-annotation datasets, showing rank inversions versus OOD/active-learning proxies.
Problem
Epistemic uncertainty is evaluated with proxy tasks (OOD detection, active learning) whose Bayes-optimal scorers differ from the regret-minimizing selector, and rank correlation between learned aleatoric and epistemic components is used as a disentanglement criterion, which may not reflect operation
Approach
Unifies selective classification and the epistemic reject-option into one constrained optimization over coverage, risk and regret, showing the optimal selector thresholds a convex combination of aleatoric and epistemic uncertainty; proposes Pareto-gap (IGD+ distance to the oracle risk-regret-coverage surface) as a joint disentanglement diagnostic, with AuReC for pure regret ranking.
Key results
- On CIFAR-10H (CE), Evidential networks achieve the lowest AuReC (0.0673) and lowest P-gap (0.0379) despite r_s(Â,Ê)=0.999.
- DDU ranks best on Far-OOD AuROC (0.935) on CIFAR-10 but worst in regret on CIFAR-10H (AuReC 0.0958).
- Evidential networks reach only 0.177 NAUC on OpenML 6 active learning despite strong regret performance on CIFAR-10H.
Surprising findings
- Evidential networks have near-perfect learned-component rank correlation (0.999) yet the best Pareto-gap on CIFAR-10H, undermining correlation-based disentanglement criteria.
- Method rankings under OOD detection and active learning invert relative to regret-based rankings.
Limitations
- Exact regret requires dense human annotations p*(y|x), limiting applicability to standard single-label settings.
- OOD and active learning results are adopted from a concurrent submission on different datasets, not evaluated on the same data.
- Oracle linear-combination search on the test set makes the Pareto-gap an upper bound rather than a deployable method.
Experimental setup
Datasets: CIFAR-10 CIFAR-10H DCIC suite (8 datasets) APPA-REAL OpenOOD OpenML
Benchmarks: CIFAR-10H DCIC suite APPA-REAL OpenOOD OpenML tabular active learning
Metrics: AuReC ex-AuReC n-AuReC AuRC Pareto-gap AuROC NAUC Spearman rank correlation
Baselines: MC-Dropout Deep Ensembles DDU Evidential networks
Builds on: epistemic reject-option selective classification deep ensembles MC-dropout DDU
Closest papers by meaning
- Rethinking Aleatoric and Epistemic Uncertainty (ICML 2025 · similarity 0.90)
- Benchmarking Uncertainty Disentanglement: Specialized Uncertainties for Specialized Tasks (NeurIPS 2024 · similarity 0.88)
- Epistemic Uncertainty Quantification For Pre-Trained Neural Networks (CVPR 2024 · similarity 0.87)
- Is Epistemic Uncertainty Faithfully Represented by Evidential Deep Learning Methods? (ICML 2024 · similarity 0.87)
- Are Uncertainty Quantification Capabilities of Evidential Deep Learning a Mirage? (NeurIPS 2024 · similarity 0.86)
- Epistemic Uncertainty for Generated Image Detection (NeurIPS 2025 · similarity 0.85)
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