27 citations · 34 across the 12 of their papers we have counts for
4 papers · 1 filter
Uncertainty Quantification for Landweber Iteration with Randomized Normal-Operator Approximation
Anuj Abhishek, Sean Holman
Iterative methods are extremely popular for solving linear ill-posed inverse problems. While deterministic convergence, or more precisely, semi-convergence of such methods is widel…
MCMC-Net: Accelerating Markov Chain Monte Carlo with Neural Networks for Inverse Problems
Sudeb Majee, Anuj Abhishek, Thilo Strauss +1
In many computational problems, using the Markov Chain Monte Carlo (MCMC) can be prohibitively time-consuming. We propose MCMC-Net, a simple yet efficient way to accelerate MCMC vi…
Local reconstruction analysis of inverting the Radon transform in the plane from noisy discrete data
Anuj Abhishek, Alexander Katsevich, James W. Webber
In this paper, we investigate the reconstruction error, $N_\e^{\text{rec}}(x)$, when a linear, filtered back-projection (FBP) algorithm is applied to noisy, discrete Radon transfor…
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
Anuj Abhishek, Thuy Le, Loc Nguyen +1
We propose to combine the Carleman estimate and the Newton method to solve an inverse source problem for nonlinear parabolic equations from lateral boundary data. The stability of…