Using PDE residuals as conformal nonconformity scores gives a label-free calibrated bound on physics violation by neural PDE surrogates, but the bound lives in residual space, not on the physical solution.
URL https://www.sciencedirect.com/ science/article/pii/S0021999122009652
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Calibrated Physics-Informed Uncertainty Quantification
Using PDE residuals as conformal nonconformity scores gives a label-free calibrated bound on physics violation by neural PDE surrogates, but the bound lives in residual space, not on the physical solution.