3 papers
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…
math.NA2025
A novel viewpoint for Bayesian inversion based on the Poisson point process
Zhiliang Deng, Zhiyuan Wang, Xiaomei Yang +1
We present a novel Bayesian framework for inverse problems in which the pos terior distribution is interpreted as the intensity measure of a Poisson point process (PPP). The poster…
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…