59 citations · 190 across the 27 of their papers we have counts for
5 papers · 1 filter
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs
Karina Koval, Alen Alexanderian, Georg Stadler
We present a method for computing A-optimal sensor placements for infinite-dimensional Bayesian linear inverse problems governed by PDEs with irreducible model uncertainties. Here,…
A distributed active subspace method for scalable surrogate modeling of function valued outputs
Hayley Guy, Alen Alexanderian, Meilin Yu
We present a distributed active subspace method for training surrogate models of complex physical processes with high-dimensional inputs and function valued outputs. Specifically,…
Randomization and reweighted -minimization for A-optimal design of linear inverse problems
Elizabeth Herman, Alen Alexanderian, Arvind K. Saibaba
We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on the A-optimal design criterion, defined as the average po…
Model input and output dimension reduction using Karhunen Loève expansions with application to biotransport
Alen Alexanderian, William Reese, Ralph C. Smith +1
We consider biotransport in tumors with uncertain heterogeneous material properties. Specifically, we focus on the elliptic partial differential equation (PDE) modeling the pressur…
Derivative-based global sensitivity analysis for models with high-dimensional inputs and functional outputs
Helen L. Cleaves, Alen Alexanderian, Hayley Guy +2
We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from deriva…