59 citations · 220 across the 52 of their papers we have counts for
4 papers · 2 filters
Fast algorithms for hyperspectral Diffuse Optical Tomography
Arvind K. Saibaba, Misha Kilmer, Eric Miller +1
The image reconstruction of chromophore concentrations using Diffuse Optical Tomography (DOT) data can be described mathematically as an ill-posed inverse problem. Recent work has…
A Fast Algorithm for Parabolic PDE-based Inverse Problems Based on Laplace Transforms and Flexible Krylov Solvers
Tania Bakhos, Arvind K. Saibaba, Peter K. Kitanidis
We consider the problem of estimating parameters in large-scale weakly nonlinear inverse problems for which the underlying governing equations is a linear, time-dependent, paraboli…
Fast Kalman Filter using Hierarchical-matrices and low-rank perturbative approach
Arvind K. Saibaba, Eric Miller, Peter K. Kitanidis
We develop a fast algorithm for Kalman Filter applied to the random walk forecast model. The key idea is an efficient representation of the estimate covariance matrix at each time-…
Fast computation of uncertainty quantification measures in the geostatistical approach to solve inverse problems
Arvind K. Saibaba, Peter K. Kitanidis
We consider the computational challenges associated with uncertainty quantification involved in parameter estimation such as seismic slowness and hydraulic transmissivity fields. T…