8 citations · 8 across the 6 of their papers we have counts for
7 papers
Hyper-differential sensitivity analysis with respect to model discrepancy: Sequential optimal experimental design
Madhusudan Madhavan, Joseph Hart, Bart van Bloemen Waanders
Large-scale optimization problems are ubiquitous in the physical sciences; yet, high-fidelity models can often be complex and computationally prohibitive for optimization. A practi…
Toward real-time optimization through model reduction and model discrepancy sensitivities
Joseph Hart, Shane A. McQuarrie, Zachary Morrow +1
Optimization problems arise in a range of scenarios, from optimal control to model parameter estimation. In many applications, such as the development of digital twins, it is essen…
Preconditioned pseudo-time continuation for parameterized inverse problems
Joseph Hart, Alen Alexanderian, Bart van Bloemen Waanders
We consider parameterized variational inverse problems that are constrained by partial differential equations (PDEs). We seek to efficiently compute the solution of the inverse pro…
Hyper-differential sensitivity analysis with respect to model discrepancy: Prior distributions
Joseph Hart, Bart van Bloemen Waanders, Jixian Li +2
Hyper-differential sensitivity analysis with respect to model discrepancy was recently developed to enable uncertainty quantification for optimization problems. The approach consis…
Hyper-differential sensitivity analysis with respect to model discrepancy: Posterior Optimal Solution Sampling
Joseph Hart, Bart van Bloemen Waanders
Optimization constrained by high-fidelity computational models has potential for transformative impact. However, such optimization is frequently unattainable in practice due to the…
Hyper-differential sensitivity analysis with respect to model discrepancy: Mathematics and computation
Joseph Hart, Bart van Bloemen Waanders
Model discrepancy, defined as the difference between model predictions and reality, is ubiquitous in computational models for physical systems. It is common to derive partial diffe…
Hyper-differential sensitivity analysis with respect to model discrepancy: Optimal solution updating
Joseph Hart, Bart van Bloemen Waanders
A common goal throughout science and engineering is to solve optimization problems constrained by computational models. However, in many cases a high-fidelity numerical emulation o…