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math.OC2023★ 2 cited
Generalized optimal transport and mean field control problems for reaction-diffusion systems with high-order finite element computation
Guosheng Fu, Stanley Osher, Will Pazner +1
We design and compute a class of optimal control problems for reaction-diffusion systems. They form mean field control problems related to multi-density reaction-diffusion systems.…
math.OC2023
A kernel formula for regularized Wasserstein proximal operators
Wuchen Li, Siting Liu, Stanley Osher
We study a class of regularized proximal operators in Wasserstein-2 space. We derive their solutions by kernel integration formulas. We obtain the Wasserstein proximal operator usi…