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.
Hamilton-Jacobi equations in the Wasserstein space.Methods Appl
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The paper reviews GHGF for HJ equations and proves a minimizing-movement construction for generalized characteristics plus that GHGF semi-flow invariant measures attaining c[H] are exactly the projected Mather measures.
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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.
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Recent progress in generalized Hamiltonian gradient flow: Singularities
The paper reviews GHGF for HJ equations and proves a minimizing-movement construction for generalized characteristics plus that GHGF semi-flow invariant measures attaining c[H] are exactly the projected Mather measures.