CREDO: Epistemic-Aware Conformalized Credal Envelopes for Regression
Summary
CREDO introduces an epistemic-aware conformal prediction method for regression that generates prediction intervals with distribution-free coverage guarantees while explicitly representing epistemic uncertainty. This approach, termed "credal-then-conformalize," first constructs an interpretable credal envelope that expands in regions with weak local evidence. It then applies split conformal calibration to this envelope, ensuring marginal coverage without additional assumptions. The resulting prediction intervals are interpretable, allowing their width to be decomposed into aleatoric noise, epistemic inflation, and a distribution-free calibration slack. CREDO's implementation uses endpoint-trimmed posterior predictive distributions and can adapt trimming levels based on local data density. Experiments on 12 regression benchmarks show CREDO maintains target 90% marginal coverage, improves sparsity adaptivity, and offers competitive efficiency compared to state-of-the-art conformal methods like CQR and UACQR-S/P.
Key takeaway
For AI Scientists and Research Scientists developing robust uncertainty quantification methods, CREDO offers a principled way to integrate epistemic awareness into conformal prediction. You should consider adopting CREDO to generate prediction intervals that not only guarantee marginal coverage but also provide a clear, decomposable understanding of uncertainty sources, especially in data-sparse or extrapolative regions. This can lead to more reliable and diagnostically rich models.
Key insights
CREDO combines credal sets and conformal prediction to deliver calibrated, interpretable prediction intervals that explicitly quantify epistemic uncertainty.
Principles
- Separate epistemic modeling from conformal calibration.
- Credal envelopes widen with weak local evidence.
- Interval width decomposes into aleatoric, epistemic, and calibration components.
Method
CREDO constructs a local credal set, derives a credal quantile envelope, and then applies split conformal calibration using a distance-to-envelope score to guarantee marginal coverage.
In practice
- Use endpoint-trimmed posterior credal sets for epistemic uncertainty.
- Implement adaptive trimming levels based on kNN scarcity scores.
- Decompose interval width for diagnostic insights into uncertainty sources.
Topics
- Conformal Prediction
- Epistemic Uncertainty
- Credal Sets
- Regression Analysis
- Uncertainty Quantification
Code references
Best for: AI Researcher, AI Scientist, Research Scientist
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Editorial summary, takeaway, and curation by AIssential. Original article published by stat.ML updates on arXiv.org.