Linear convergence of JKO-based proximal point, prox-linear, and proximal gradient schemes is proved for entropy-regularized flat-convex functionals, with iterates shown to have finite relative Fisher information.
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Linear convergence of proximal descent schemes on the Wasserstein space
Linear convergence of JKO-based proximal point, prox-linear, and proximal gradient schemes is proved for entropy-regularized flat-convex functionals, with iterates shown to have finite relative Fisher information.