Derives an explicit Gâteaux policy-gradient formula for entropy-regularized continuous-time mean-field control using the value function and cylindrical representations, then builds a model-based actor-critic scheme with PDE well-posedness analysis.
The pontryagin maximum principle in the wasserstein space.Calculus of Varia- tions and Partial Differential Equations, 58:1–36, 2017
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Policy Gradient for Continuous-Time Mean-Field Control
Derives an explicit Gâteaux policy-gradient formula for entropy-regularized continuous-time mean-field control using the value function and cylindrical representations, then builds a model-based actor-critic scheme with PDE well-posedness analysis.