57 citations · 211 across the 18 of their papers we have counts for
3 papers · 1 filter
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…
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…
Hierarchical Bayesian Operational Modal Analysis: Theory and Computations
Omid Sedehi, Lambros S. Katafygiotis, Costas Papadimitriou
This paper presents a hierarchical Bayesian modeling framework for the uncertainty quantification in modal identification of linear dynamical systems using multiple vibration data…