Arvind Krishna Saibaba

MONTE CARLO METHODS FOR ESTIMATING THE DIAGONAL OF A REAL SYMMETRIC MATRIX

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 44(1), 240–269.

Computationally efficient methods for large-scale atmospheric inverse modeling

GEOSCIENTIFIC MODEL DEVELOPMENT, 15(14), 5547–5565.

Efficient randomized tensor-based algorithms for function approximation and low-rank kernel interactions

ADVANCES IN COMPUTATIONAL MATHEMATICS, 48(5).

Kryging: geostatistical analysis of large-scale datasets using Krylov subspace methods

STATISTICS AND COMPUTING, 32(5).

MONTE CARLO ESTIMATORS FOR THE SCHATTEN p-NORM OF SYMMETRIC POSITIVE SEMIDEFINITE MATRICES

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 55, 213–241.

STRUCTURED MATRIX APPROXIMATIONS VIA TENSOR DECOMPOSITIONS

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 43(4), 1599–1626.

EFFICIENT ALGORITHMS FOR EIGENSYSTEM REALIZATION USING RANDOMIZED SVD

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 42(2), 1045–1072.

Randomized algorithms for generalized singular value decomposition with application to sensitivity analysis

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 28(4).

Randomized approaches to accelerate MCMC algorithms for Bayesian inverse problems

JOURNAL OF COMPUTATIONAL PHYSICS, 440.

Efficient Krylov subspace methods for uncertainty quantification in large Bayesian linear inverse problems

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 27(5).

Geostatistical inverse modeling with very large datasets: an example from the Orbiting Carbon Observatory 2 (OCO-2) satellite

GEOSCIENTIFIC MODEL DEVELOPMENT, 13(3), 1771–1785.

RANDOMIZATION AND REWEIGHTED l(1)-MINIMIZATION FOR A-OPTIMAL DESIGN OF LINEAR INVERSE PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 42(3), A1714–A1740.

Randomized Algorithms for Low-Rank Tensor Decompositions in the Tucker Format

SIAM JOURNAL ON MATHEMATICS OF DATA SCIENCE, 2(1), 189–215.

Randomized Discrete Empirical Interpolation Method for Nonlinear Model Reduction

SIAM Journal on Scientific Computing.

Efficient Marginalization-Based MCMC Methods for Hierarchical Bayesian Inverse Problems

SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 7(3), 1105–1131.

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

JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 28(1), 36–47.

RANDOMIZED SUBSPACE ITERATION: ANALYSIS OF CANONICAL ANGLES AND UNITARILY INVARIANT NORMS

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 40(1), 23–48.

A randomized tensor singular value decomposition based on the t-product

NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 25(5).

EFFICIENT D-OPTIMAL DESIGN OF EXPERIMENTS FOR INFINITE-DIMENSIONAL BAYESIAN LINEAR INVERSE PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 40(5), A2956–A2985.

Efficient generalized Golub-Kahan based methods for dynamic inverse problems

Inverse Problems, 34(2).

Goal-oriented optimal design of experiments for large-scale Bayesian linear inverse problems

INVERSE PROBLEMS, 34(9).

Low-Rank Independence Samplers in Hierarchical Bayesian Inverse Problems

SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 6(3), 1076–1100.

THE DISCRETE EMPIRICAL INTERPOLATION METHOD: CANONICAL STRUCTURE AND FORMULATION IN WEIGHTED INNER PRODUCT SPACES

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 39(3), 1152–1180.

GENERALIZED HYBRID ITERATIVE METHODS FOR LARGE-SCALE BAYESIAN INVERSE PROBLEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(5), S24–S46.

MULTIPRECONDITIONED GMRES FOR SHIFTED SYSTEMS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 39(5), S222–S247.

Randomized matrix-free trace and log-determinant estimators

NUMERISCHE MATHEMATIK, 137(2), 353–395.

HOID: HIGHER ORDER INTERPOLATORY DECOMPOSITION FOR TENSORS BASED ON TUCKER REPRESENTATION

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 37(3), 1223–1249.

3D parameter reconstruction in hyperspectral diffuse optical tomography

Progress in Biomedical Optics and Imaging - Proceedings of SPIE, 9319.

A fast algorithm for parabolic PDE-based inverse problems based on Laplace transforms and flexible Krylov solvers

Journal of Computational Physics, 299, 940–954.

Fast Kalman filter using hierarchical matrices and a low-rank perturbative approach

Inverse Problems, 31(1).

Fast algorithms for hyperspectral diffuse optical tomography

SIAM Journal on Scientific Computing, 37(5), B712–B743.

Fast computation of uncertainty quantification measures in the geostatistical approach to solve inverse problems

Advances in Water Resources, 82, 124–138.

Randomized algorithms for generalized Hermitian eigenvalue problems with application to computing Karhunen-Loève expansion

Numerical Linear Algebra with Applications, 23(2), 314–339.

A fast Kalman filter for time-lapse electrical resistivity tomography

International Geoscience and Remote Sensing Symposium (IGARSS), 3152–3155.

A flexible krylov solver for shifted systemswith application to oscillatory hydraulic tomography

SIAM Journal on Scientific Computing, 35(6).

Fast Algorithms for Bayesian Inversion

Computational Challenges in the Geosciences, pp. 101–142.

Application of hierarchical matrices to linear inverse problems in geostatistics | Application des matrices hiérarchiques aux problèmes d'inversion linéaire en géostatistique

Oil and Gas Science and Technology, 67(5), 857–875.

Efficient methods for large-scale linear inversion using a geostatistical approach

Water Resources Research, 48(5).