Γ -convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems
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DOI: 10.1088/1361-6420/ac3f81
Abstract: The Bayesian solution to a statistical inverse problem can be summarised by a mode of the posterior distribution, i.e. a maximum a posteriori (MAP) estimator. The MAP estimator essentially coincides with the (regularised) variational solution… read more here.
Keywords: onsager machlup; bayesian inverse; problem; maximum posteriori ... See more keywords
Γ-convergence of Onsager–Machlup functionals: II. Infinite product measures on Banach spaces
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DOI: 10.1088/1361-6420/ac3f82
Abstract: We derive Onsager–Machlup functionals for countable product measures on weighted ℓ p subspaces of the sequence space RN . Each measure in the product is a shifted and scaled copy of a reference probability measure… read more here.
Keywords: onsager machlup; machlup functionals; convergence; product measures ... See more keywords