2 papers
math.NA2026
Dual-Filtration Topology Recovery from Qualitative Acoustic Scattering Indicators
Xiaomei Yang, Jiaying Jia, Zhiliang Deng
Qualitative inverse scattering methods produce gray-scale indicator fields, from which the topology of the scatterer must be inferred without a prescribed threshold. We propose a d…
stat.CO2026
A Bayesian approach with persistent homology prior for Robin coefficient identification in a parabolic problem
Xiaomei Yang, Jiaying Jia, Zhiliang Deng
The reconstruction of time-dependent Robin coefficients is a challenging inverse heat transfer problem due to its inherent ill-posedness. This paper introduces a hierarchical Bayes…