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math.NA2023★ 1 cited
Score-based Transport Modeling for Mean-Field Fokker-Planck Equations
Jianfeng Lu, Yue Wu, Yang Xiang
We use the score-based transport modeling method to solve the mean-field Fokker-Planck equations, which we call MSBTM. We establish an upper bound on the time derivative of the Kul…
math.NA2022★ 5 cited
DOSnet as a Non-Black-Box PDE Solver: When Deep Learning Meets Operator Splitting
Yuan Lan, Zhen Li, Jie Sun +1
Deep neural networks (DNNs) recently emerged as a promising tool for analyzing and solving complex differential equations arising in science and engineering applications. Alternati…