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stat.ME2026
Bayesian Inference for PDE-based Inverse Problems using the Optimization of a Discrete Loss
Lucas Amoudruz, Sergey Litvinov, Costas Papadimitriou +1
Inverse problems are crucial for many applications in science, engineering and medicine that involve data assimilation, design, and imaging. Their solution infers the parameters or…
stat.ME2024
Hierarchical Bayesian Modeling for Uncertainty Quantification and Reliability Updating using Data
Xinyu Jia, Weinan Hou, Costas Papadimitriou
Quantifying uncertainty and updating reliability are essential for ensuring the safety and performance of engineering systems. This study develops a hierarchical Bayesian modeling…