59 citations · 190 across the 27 of their papers we have counts for
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math.OC2014
A Fast and Scalable Method for A-Optimal Design of Experiments for Infinite-dimensional Bayesian Nonlinear Inverse Problems
Alen Alexanderian, Noemi Petra, Georg Stadler +1
We address the problem of optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by PDEs. The goal is to find a placement of sensors, at which experimen…
math.ST2014
On Bayesian A- and D-optimal experimental designs in infinite dimensions
Alen Alexanderian, Philip Gloor, Omar Ghattas
We consider Bayesian linear inverse problems in infinite-dimensional separable Hilbert spaces, with a Gaussian prior measure and additive Gaussian noise model, and provide an exten…
math.PR2014★ 2 cited
A Primer on Homogenization of Elliptic PDEs with Stationary and Ergodic Random Coefficient Functions
Alen Alexanderian
We study the problem of characterizing the effective (homogenized) properties of materials whose diffusive properties are modeled with random fields. Focusing on elliptic PDEs with…