59 citations · 220 across the 52 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…
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…
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…