research
The Neural Operator Got a Coverage Band
A split-conformal method wraps predicted function fields with finite-sample spatial coverage guarantees.
Summary
A split-conformal method wraps predicted function fields with finite-sample spatial coverage guarantees.
The method reduces a normalized residual field to a spatial quantile, then calibrates a scaling factor on held-out data. The authors prove that the resulting band contains the true solution on at least a specified fraction of the domain with a target probability, covering continuous domains and fixed discretizations. Darcy-flow and Navier-Stokes experiments produced tighter bands than existing corrections while retaining target coverage under the study's assumptions.
Why it matters
A split-conformal method wraps predicted function fields with finite-sample spatial coverage guarantees.
Limits and context
No additional limitation was separately recorded.
Key claims
A split-conformal method wraps predicted function fields with finite-sample spatial coverage guarantees.
Evidence: source-2026-08-31-014
Sources
- arXiv preprint 2608.28515arXiv · primary research
Corrections
No corrections have been recorded for this story.