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arxiv:2307.01463
Hybrid two-level MCMC for Bayesian Inverse Problems
Published on Jul 4, 2023
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Abstract
We introduced a novel method to solve Bayesian inverse problems governed by PDE equations with a hybrid two-level MCMC where we took advantage of the AI surrogate model speed and the accuracy of numerical models. We show theoretically the potential to solve Bayesian inverse problems accurately with only a small number of numerical samples when the <PRE_TAG>AI surrogate model error</POST_TAG> is small. Several numerical experiment results are included which demonstrates the advantage of the hybrid method.
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