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stat.CO2026
Hankel--Christoffel--Nevai Screening for Bayesian Inverse Problems
Zhiliang Deng, Xiaomei Yang
Likelihood evaluation in Bayesian inverse problems often requires a forward-model solve. We study candidate screening using a likelihood-weighted prior moment matrix and two associ…
stat.CO2025
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…
stat.CO2025
A Bayesian thinning algorithm for the point source identification of heat equation
Zhiliang Deng, Chen Li, Xiaomei Yang
In this work, we propose a Bayesian thinning algorithm for recovering weighted point source functions in the heat equation from boundary flux observations. The major challenge in t…