@article{filteredpartialdifferentialequationsa, title = {Filtered Partial Differential Equations: a robust surrogate constraint in physics-informed deep learning framework}, author = {Dashan Zhang and Yuntian Chen and Shiyi Chen}, year = {2023}, eprint = {2311.03776}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2311.03776v2}, }