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.
A tv-gaussian prior for infinite-dimensional bayesian inverse problems and its numerical implementations.Inverse Problems, 32(7):075006
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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.