@article{uncertaintyquantificationforphysics, title = {Uncertainty Quantification for Physics-Informed Neural Networks with Extended Fiducial Inference}, author = {Frank Shih and Zhenghao Jiang and Faming Liang}, year = {2025}, eprint = {2505.19136}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2505.19136v1}, }