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A stable manifold MCMC method for high dimensions
Affiliation:1. Department of Mathematics and Applications, University of Naples Federico II, Strada Vicinale Cupa Cintia 21, 80126 Naples, Italy;2. Department of Science and Technology, University of Naples Parthenope, Centro Direzionale Isola C3, 80143 Naples, Italy
Abstract:We combine two important recent advancements of MCMC algorithms: first, methods utilizing the intrinsic manifold structure of the parameter space; then, algorithms effective for targets in infinite-dimensions with the critical property that their mixing time is robust to mesh refinement.
Keywords:Manifold MCMC  Metropolis-adjusted Langevin algorithm  Cameron–Martin space  Infinite dimensions
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