@article{controlandoptimizationforneuralpartial, title = {Control and optimization for Neural Partial Differential Equations in Supervised Learning}, author = {Alain Bensoussan and Minh-Binh Tran and Bangjie Wang}, year = {2025}, eprint = {2506.20764}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2506.20764v1}, }