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Shi-Chang Du

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#machine learning Preprint Oct 2026

PDE-Residual-Informed Kriging

This study proposes PDE-residual-informed Kriging (PRIK) based on a PDE-residual kernel, which makes PRIK yield the posterior mean with minimum integrated squared PDE residual, and establishes regularity and stability conditions for the posterior mean, together with a nonasymptotic bound for its PDE-residual norm.

Yu Tan, Shi-Chang Du, Yong-Xiang Li · 0 citations