Physics-Informed Conformal Prediction: Embedding PDE Consistency into Distribution-Free Uncertainty Quantification for Neural Operators

arXiv:2609.11935 · cs.LG · Submitted 2026-06-26 · Read on arXiv

cs.LG

Submitted: 2026-06-26

Updated: 2026-06-26

Comments: 14 pages, 11 tables, 5 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Conformal Prediction — 3× in this paper · explained in 5 episodes
• PDE residual — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• DeepONet — 1× in this paper · explained in 2 episodes
• Fourier Neural Operator — 1× in this paper
• Uncertainty Quantification — 1× in this paper · explained in 8 episodes

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