Uncertainty Quantification & Conformal Prediction
Evaluating Uncertainty Quantification and Conformal Prediction Methods Beyond Binary Outcomes
Generated automatically from the limitations stated in 4 papers (AISTATS, COLT, ICML), listed under Evidence. It is not a paper, and it does not come from papers submitted to CSPaper.
The problem
Existing uncertainty quantification and conformal prediction formulations in this family have been developed and tested exclusively on binary outcome spaces ($y \in \{0, 1\}$). As a result, it is unknown whether their theoretical properties, coverage guarantees, and set efficiencies persist or degrade when applied to multiclass and continuous regression targets. Practitioners in non-binary domains are currently blocked from deploying these methods with verified reliability.
Why it matters
Clarifies the operational limits and empirical validity of these uncertainty quantification methods across non-binary settings, enabling their principled deployment on multiclass and continuous problems.
Ways to approach it
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- 1
Empirical robustness benchmarking: Adapt the binary uncertainty quantification methods to standard multiclass and regression benchmarks, measuring empirical coverage error, marginal/conditional validity, and prediction set/interval size across varying label cardinalities and noise distributions.
- 2
Reduction and decomposition strategies: Evaluate one-vs-all, hierarchical grouping, and quantile-based reductions to bridge binary formulations to multiclass and continuous targets, measuring computational overhead and loss in prediction efficiency relative to native baselines.
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Why it might fail
Direct extensions might perform identically to existing standard multiclass conformal methods, yielding no surprising failure modes or distinctive trade-offs in a pure robustness study.
Evidence
Each paper's own statement of the limitation, verbatim.
- Panprediction: Optimal Predictions for Any Downstream Task and LossAISTATS 2026
Restricted strictly to binary prediction and binary classification labels Y = {0, 1}.
- A Perfectly Truthful Calibration MeasureCOLT 2026
Formulated exclusively for binary outcomes y in {0, 1} rather than general multi-class settings.
- Second-Order Uncertainty Quantification: A Distance-Based ApproachICML 2024
Applies only to classification with discrete label spaces; regression and other outcome spaces are not addressed
- Faster Recalibration of an Online Predictor via ApproachabilityAISTATS 2024
Restricted to binary outcomes (y_t ∈ {0,1}); no extension to multiclass or continuous outcomes is given
Nearest existing work
- Adaptive Bounding Box Uncertainties via Two-Step Conformal PredictionECCV 2024
- Conformal Prediction as Bayesian QuadratureICML 2025
- Integrating Uncertainty Awareness into Conformalized Quantile RegressionAISTATS 2024
- Conformal Prediction for Ensembles: Improving Efficiency via Score-Based AggregationNeurIPS 2025
- Conformal Prediction Sets Improve Human Decision MakingICML 2024
- Utility-Directed Conformal Prediction: A Decision-Aware Framework for Actionable Uncertainty QuantificationICLR 2025
- Conformalized Credal Set PredictorsNeurIPS 2024
- Training Uncertainty-Aware Classifiers with Conformalized Deep LearningNeurIPS 2022
- Reliable Conformal Prediction for Ordinal Classification Using the Ranked Probability ScoreUAI 2026
- Distribution-free uncertainty quantification for classification under label shiftUAI 2021
- Uncertainty Sets for Image Classifiers using Conformal PredictionICLR 2021
- Conformal Structured PredictionICLR 2025
- Efficient and Differentiable Conformal Prediction with General Function ClassesICLR 2022
- Two fundamental limits for uncertainty quantification in predictive inferenceCOLT 2024
- Questioning the Coverage-Length Metric in Conformal Prediction: When Shorter Intervals Are Not BetterICML 2026