5 papers
Path-OED for infinite-dimensional Bayesian linear inverse problems governed by PDEs
J. Nicholas Neuberger, Alen Alexanderian, Bart van Bloemen Waanders +1
We consider infinite-dimensional Bayesian linear inverse problems governed by time-dependent partial differential equations (PDEs) and develop a mathematical and computational fram…
A Probabilistic Approach to Trajectory-Based Optimal Experimental Design
Ahmed Attia
We present a novel probabilistic approach for optimal experimental path design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and tr…
Optimal experimental design with k-space data: application to inverse hemodynamics
Miriam Löcke, Ahmed Attia, Dariusz Ucínski +1
Subject-specific cardiovascular models rely on parameter estimation using measurements such as 4D Flow MRI data. However, acquiring high-resolution, high-fidelity functional flow d…
Distributional Sensitivity Analysis: Enabling Differentiability in Sample-Based Inference
Pi-Yueh Chuang, Ahmed Attia, Emil Constantinescu
This work introduces a mathematical framework for estimating the space-parameter sensitivity of random samples in arbitrary dimensions. Such sensitivity effectively acts as gradien…
Centralized calibration of power system dynamic models using variational data assimilation
Ahmed Attia, D. Adrian Maldonado, Emil Constantinescu +1
This paper presents a novel centralized, variational data assimilation approach for calibrating transient dynamic models in electrical power systems, focusing on load model paramet…