1 citations · 1 across the 10 of their papers we have counts for
6 papers · 1 filter
Multi-type Sensor Placement for PDE-based Bayesian Inverse Problems
Steven Maio, Alen Alexanderian, Karina Koval +1
We address optimal placement of multi-type sensors for Bayesian inverse problems governed by partial differential equations (PDEs). The proposed framework allows for sensors with d…
FlexTrace: Exchangeable Randomized Trace Estimation for Matrix Functions
Madhusudan Madhavan, Alen Alexanderian, Arvind K. Saibaba
We consider the task of estimating the trace of a matrix function, , of a large symmetric positive semi-definite matrix . This problem arises in mult…
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…
Bridging the Gap Between Deterministic and Probabilistic Approaches to State Estimation
Lev Kakasenko, Alen Alexanderian, Mohammad Farazmand +1
We consider the problem of state estimation from limited discrete and noisy measurements. In particular, we focus on modal state estimation, which approximates the unknown state of…
Optimal sensor placement under model uncertainty in the weak-constraint 4D-Var framework
Alen Alexanderian, Hugo Díaz, Vishwas Rao +1
In data assimilation, the model may be subject to uncertainties and errors. The weak-constraint data assimilation framework enables incorporating model uncertainty in the dynamics…
Goal oriented optimal design of infinite-dimensional Bayesian inverse problems using quadratic approximations
J. Nicholas Neuberger, Alen Alexanderian, Bart van Bloemen Waanders
We consider goal-oriented optimal design of experiments for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs). Specifically, w…