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Exact active subspace Metropolis–Hastings, with applications to the Lorenz-96 system (2017)

Schuster, Ingmar ; Constantine, Paul ; Sullivan, T. J.

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Publication Date: 2021-10-28

Description: We consider the application of active subspaces to inform a Metropolis-Hastings algorithm, thereby aggressively reducing the computational dimension of the sampling problem. We show that the original formulation, as proposed by Constantine, Kent, and Bui-Thanh (SIAM J. Sci. Comput., 38(5):A2779-A2805, 2016), possesses asymptotic bias. Using pseudo-marginal arguments, we develop an asymptotically unbiased variant. Our algorithm is applied to a synthetic multimodal target distribution as well as a Bayesian formulation of a parameter inference problem for a Lorenz-96 system.

Language: English

Type: article , doc-type:article

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