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.
Stability estimate for an inverse boundary coefficient problem in thermal imaging.Journal of mathematical analysis and applications, 343(1):328–336, 2008
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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.