The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation. - Anuj Abhishek; Thuy T. Le; Loc Nguyen; Taufiquar Khan (CoRR, 2022)

An Optimal Bayesian Estimator for Absorption Coefficient in Diffuse Optical Tomography. - Anuj Abhishek; Thilo Strauss; Taufiquar Khan (SIAM J. Imaging Sci., 2022)

Improved Training of Physics-Informed Neural Networks Using Energy-Based Priors: a Study on Electrical Impedance Tomography. - Akarsh Pokkunuru; Pedram Rooshenas; Thilo Strauss; Anuj Abhishek; Taufiquar Khan (ICLR, 2023)

A Bayesian level-set inversion method for simultaneous reconstruction of absorption and diffusion coefficients in diffuse optical tomography. - Anuj Abhishek; Thilo Strauss; Taufiquar Khan (CoRR, 2024)

Solving the Electrical Impedance Tomography Problem with a DeepONet Type Neural Network: Theory and Application. - Anuj Abhishek; Thilo Strauss (CoRR, 2024)

MCMC-Net: Accelerating Markov Chain Monte Carlo with Neural Networks for Inverse Problems. - Sudeb Majee; Anuj Abhishek; Thilo Strauss; Taufiquar Khan (CoRR, 2024)

The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations. - Anuj Abhishek; Thuy T. Le; Loc H. Nguyen; Taufiquar Khan (J. Comput. Appl. Math., 2024)

Local Reconstruction Analysis of Inverting the Radon Transform in the Plane from Noisy Discrete Data. - Anuj Abhishek; Alexander Katsevich; James W. Webber (SIAM J. Imaging Sci., 2025)