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.
Numerical estimation of piecewise constant robin coefficient.SIAM journal on control and optimization, 48(3):1977–2002
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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.