Generalized Wasserstein barycenters on Riemannian manifolds are absolutely continuous when all input measures are absolutely continuous, for strictly convex cost profiles h with singularity at zero, via a geometric approximation approach.
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PGP achieves global last-iterate convergence for constrained entropy maximization in RL via penalty regularization and hidden convexity despite non-convex policy parameterization.
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Absolute continuity of generalized Wasserstein barycenters of finitely many measures
Generalized Wasserstein barycenters on Riemannian manifolds are absolutely continuous when all input measures are absolutely continuous, for strictly convex cost profiles h with singularity at zero, via a geometric approximation approach.
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Global Optimality for Constrained Exploration via Penalty Regularization
PGP achieves global last-iterate convergence for constrained entropy maximization in RL via penalty regularization and hidden convexity despite non-convex policy parameterization.