@article{leveragingviscoushamiltonjacobipdesfor, title = {Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning}, author = {Zongren Zou and Tingwei Meng and Paula Chen and Jérôme Darbon and George Em Karniadakis}, year = {2024}, eprint = {2404.08809}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2404.08809v1}, }