4 papers
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…
Self-adaptive physics-informed neural network for forward and inverse problems in heterogeneous porous flow
Md. Abdul Aziz, Thilo Strauss, Muhammad Mohebujjaman +1
We develop a self-adaptive physics-informed neural network (PINN) framework that reliably solves forward Darcy flow and performs accurate permeability inversion in heterogeneous po…
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…
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…