Publications:
Support Theorems and an Injectivity Result for Integral Moments of a Symmetric m-Tensor Field (Journal of Fourier Analysis and Applications, 2019) (with R.K.Mishra)
Support theorems for the transverse ray transform of tensor fields of rank m (Journal of Mathematical Analysis and Applications, 2020)
Modified forward and inverse Born series for the Calderon and diffuse-wave problems (Inverse Problems , 2020) (with M.Bonnet and S. Moskow)
Minimax optimal estimator in the stochastic inverse problem for exponential Radon transform (Sankhya A Vol 85(1))
Adaptive Estimation of a Function from its Exponential Radon Transform in Presence of Noise (Sankhya A Vol 85 (2)) (with S. Arya)
An Optimal Bayesian Estimator for Absorption Coefficient in Diffuse Optical Tomography (SIAM J. of Imaging Sciences (2022)) (with T. Strauss and T.Khan)
Improved Training of Physics-Informed Neural Networks Using Energy-Based Priors: a Study on Electrical Impedance Tomography (ICLR, 2023) (with A. Pokkunuru, P. Rooshenas, T. Strauss and T.Khan)
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation (Journal of Computational and Applied Mathematics, 2024) (with T. Le, L. Nguyen and T. Khan)
Local reconstruction analysis of inverting the Radon transform in the plane from noisy discrete data. (SIIMS, April 2025) (with A. Katsevich and J.W. Webber)
Simultaneous estimation of piecewise constant coefficients in elliptic PDEs via Bayesian level-set methods (Communications on Analysis and Computation, 2025) (with T. Strauss and T. Khan)
MCMC-Net: Accelerating Markov Chain Monte Carlo with Neural Networks for Inverse Problems ( Inverse Problems,2025) (with S. Majee, T. Strauss, T.Khan)
Statistical Microlocal Analysis in two-dimensional X-Ray CT (Inverse Problems, 2025) (with A. Katsevich and J.W.Webber)
Generalized Radon transforms over symmetric m- tensor fields in R^n (Analysis and Mathematical Physics, 2026) (with R.K.Mishra and Chandni Thakkar)
A DeepONet for inverting the Neumann-to-Dirichlet operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results (Journal of Scientific Computing, 2026) (with T. Strauss)
A Ge(GGeeneralized Radon transforms over symmetric m-tensor fields in