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20122026
most citedGoal-Oriented Optimal Design of Experiments for Large-Scale Bayesian Linear Inverse Problems

59 citations · 220 across the 52 of their papers we have counts for

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Showing 2016Show all

6 papers · 1 filter

stat.CO2016★ 2 cited

Going off the Grid: Iterative Model Selection for Biclustered Matrix Completion

Eric Chi, Liuiyi Hu, Arvind K. Saibaba +1

We consider the problem of performing matrix completion with side information on row-by-row and column-by-column similarities. We build upon recent proposals for matrix estimation…

math.NA2016★ 2 cited

A Randomized Tensor Singular Value Decomposition based on the t-product

Jiani Zhang, Arvind K. Saibaba, Misha Kilmer +1

The tensor Singular Value Decomposition (t-SVD) for third order tensors that was proposed by Kilmer and Martin~\cite{2011kilmer} has been applied successfully in many fields, such…

math.NA2016★ 2 cited

Low Rank Independence Samplers in Bayesian Inverse Problems

D. Andrew Brown, Arvind Saibaba, Sarah Vallélian

In Bayesian inverse problems, the posterior distribution is used to quantify uncertainty about the reconstructed solution. In practice, Markov chain Monte Carlo algorithms often ar…

math.NA2016

Generalized hybrid iterative methods for large-scale Bayesian inverse problems

Julianne Chung, Arvind K. Saibaba

We develop a generalized hybrid iterative approach for computing solutions to large-scale Bayesian inverse problems. We consider a hybrid algorithm based on the generalized Golub-K…

math.NA2016

Randomized Matrix-free Trace and Log-Determinant Estimators

Arvind K. Saibaba, Alen Alexanderian, Ilse C. F. Ipsen

We present randomized algorithms for estimating the trace and deter- minant of Hermitian positive semi-definite matrices. The algorithms are based on subspace iteration, and access…

math.NA2016

Multipreconditioned GMRES for Shifted Systems

Tania Bakhos, Peter Kitanidis, Scott Ladenheim +2

An implementation of GMRES with multiple preconditioners (MPGMRES) is proposed for solving shifted linear systems with shift-and-invert preconditioners. With this type of precondit…