A hierarchical Bayesian framework with persistent homology prior reconstructs time-dependent Robin coefficients in parabolic equations while preserving multiscale temporal features better than total variation or Gaussian alternatives.
Abayesianinferenceapproachtoidentifyarobincoefficient in one-dimensional parabolic problems.Journal of Computational and Applied Mathematics, 231(2):840–850, 2009
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A Bayesian approach with persistent homology prior for Robin coefficient identification in a parabolic problem
A hierarchical Bayesian framework with persistent homology prior reconstructs time-dependent Robin coefficients in parabolic equations while preserving multiscale temporal features better than total variation or Gaussian alternatives.