2 papers
math.NA2025
A comparative analysis of metamodels for 0D cardiovascular models, and pipeline for sensitivity analysis, parameter estimation, and uncertainty quantification
John M. Hanna, Pavlos Varsos, Jérôme Kowalski +3
Zero-dimensional (0D) cardiovascular models are reduced-order models used to study global circulation dynamics and transport. They provide estimates of biomarkers (such as pressure…
math.OC2025
Improved Physics-informed neural networks loss function regularization with a variance-based term
John M. Hanna, Hugues Talbot, Irene E. Vignon-Clementel
In machine learning and statistical modeling, the mean square or absolute error is commonly used as an error metric, also called a "loss function." While effective in reducing the…