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 numerical method for solving of a nonlinear inverse diffusion problem.Computers & Mathematics with Applications, 52(6-7):1021–1030, 2006
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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.