19 citations · 19 across the 9 of their papers we have counts for
3 papers · 1 filter
Hyper-differential sensitivity analysis for nonlinear Bayesian inverse problems
Isaac Sunseri, Alen Alexanderian, Joseph Hart +1
We consider hyper-differential sensitivity analysis (HDSA) of nonlinear Bayesian inverse problems governed by PDEs with infinite-dimensional parameters. In previous works, HDSA has…
Enabling hyper-differential sensitivity analysis for ill-posed inverse problems
Joseph Hart, Bart van Bloemen Waanders
Inverse problems constrained by partial differential equations (PDEs) play a critical role in model development and calibration. In many applications, there are multiple uncertain…
Randomized Algorithms for Generalized Singular Value Decomposition with Application to Sensitivity Analysis
Arvind K. Saibaba, Joseph Hart, Bart van Bloemen Waanders
The generalized singular value decomposition (GSVD) is a valuable tool that has many applications in computational science. However, computing the GSVD for large-scale problems is…