A persistent-homology-based Bayesian prior to identify Robin coefficient in parabolic problems
By: Xiaomei Yang, Jiaying Jia
We adopt a Bayesian inference approach with persistent-homology-based prior to estimate a temporally dependent Robin coefficient arising in the analysis of convective heat transfer. And we also discuss the use of a hierarchical Bayesian method for automatic selection of the regularization parameter. Numerical results demonstrate that the PH prior shows consistent improvement compared to the Gaussian and the total variation prior.
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