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20242026
most citedOptimal sensor placement under model uncertainty in the weak-constraint 4D-Var framework

1 citations · 1 across the 7 of their papers we have counts for

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math.NA2025

Parametric Hierarchical Matrix Approximations to Kernel Matrices

Abraham Khan, Chao Chen, Vishwas Rao +1

Kernel matrices are ubiquitous in computational mathematics, often arising from applications in machine learning and scientific computing. In two or three spatial or feature dimens…

math.NA2025

Structured Column Subset Selection for Bayesian Optimal Experimental Design

Hugo Díaz, Arvind K. Saibaba, Srinivas Eswar +2

We consider optimal experimental design (OED) for Bayesian inverse problems, where the experimental design variables have a certain multiway structure. Given different experime…

math.NA2025★ 1 cited

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…

math.NA2024

Bayesian D-Optimal Experimental Designs via Column Subset Selection

Srinivas Eswar, Vishwas Rao, Arvind K. Saibaba

This paper tackles optimal sensor placement for Bayesian linear inverse problems, a popular version of the more general Optimal Experimental Design (OED) problem, using the D-optim…

math.NA2024

Randomized Preconditioned Solvers for Strong Constraint 4D-Var Data Assimilation

Amit N. Subrahmanya, Vishwas Rao, Arvind K. Saibaba

The Strong Constraint 4D Variational (SC-4DVAR) data assimilation method is widely used in climate and weather applications. SC-4DVAR involves solving a minimization problem to com…