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math.NA2024
Polytope Division Method: A Scalable Sampling Method for Problems with High-dimensional Parameters
Evie Nielen, Oliver Tse, Karen Veroy
Configuration Optimization Problems (COPs), which involve minimizing a loss function over a set of discrete points , are common in areas like Model Order Re…
math.NA2022
A Reduced Basis Ensemble Kalman Method
Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl +1
In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to redu…
math.NA2020
A sequential sensor selection strategy for hyper-parameterized linear Bayesian inverse problems
Nicole Aretz-Nellesen, Peng Chen, Martin A. Grepl +1
We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model,…