27 citations · 34 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
A DeepONet for inverting the Neumann-to-Dirichlet Operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results
Anuj Abhishek, Thilo Strauss
In this work, we consider the non-invasive medical imaging modality of Electrical Impedance Tomography (EIT), where the goal is to recover the conductivity in a medium from boundar…
Simultaneous Estimation of Piecewise Constant Coefficients in Elliptic PDEs via Bayesian Level-Set Methods
Anuj Abhishek, Thilo Strauss, Taufiquar Khan
In this article, we propose a non-parametric Bayesian level-set method for simultaneous reconstruction of two different piecewise constant coefficients in an elliptic partial diffe…
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…