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Conformal Prediction for Neural Operators: Distribution-Free Uncertainty Quantification in Physics Simulation

Neural operators such as the Fourier Neural Operator (FNO) have emerged as powerful surrogates for solving partial differential equations (PDEs), achieving speedups of several orders of magnitude over traditional numerical solvers. However, deploying these models in safety-critical engineering applications -- such as thermal management of electronic components and battery systems -- requires not only accurate point predictions but also rigorous uncertainty guarantees. Existing uncertainty quantification (UQ) methods for neural operators, including Monte Carlo Dropout and Deep Ensembles, provide only relative uncertainty estimates without formal coverage guarantees. In this work, we propos...

AuthorsMichael Chin
Primary categorycs.LG
Published7 June 2026
Last updated at source7 June 2026
cs.LGcs.AI
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