Publications

1. Damped  stochastic mirror descent method for non-smooth ill-posed problems in Banach spaces

H Bajpai, G Mittal, AK Giri

Submitted (Under review), 2026.

2. Randomized Krylov-projected iterated Tikhonov regularization for large-scale ill-posed problems under a posteriori stopping rule

R Verma, H Bajpai, AK Giri

Submitted (Under review), 2026.

3.On the convergence of an adaptive denoiser driven iterative regularization with early stopping

H Bajpai, AK Giri, T Jahn, A Jha

Submitted (Under review), 2026.

4. Graph Laplacian assisted regularization method under noise level free heuristic and statistical stopping rule

H Bajpai, AK Giri

Submitted (Under Review), 2025.

5. On the Convergence of Iterative Regularization Method Assisted by the Graph Laplacian with Early Stopping

H Bajpai, G Mittal, AK Giri

SIAM Journal on Imaging Science, 19(2), 643-676, 2026.

6. Hanke-Raus heuristic rule for iteratively regularized stochastic gradient descent

H Bajpai, G Mittal, AK Giri

Applied Numerical Mathematics, 227, 276-298, 2026.  

7. Stochastic data-driven Bouligand–Landweber method for solving non-smooth inverse problems

H Bajpai, G Mittal, AK Giri

Journal of Inverse and Ill-posed Problems, 33 (2), 153-170, 2025.

8. Convergence analysis of iteratively regularized Landweber iteration with uniformly convex constraints in Banach spaces

G Mittal, H Bajpai, AK Giri

Journal of Complexity, 86, 101897, 2025.

9. Convergence analysis of Kaczmarz-type iteratively regularized Landweber iteration for solving ill-posed inverse problems

G Mittal, H Bajpai, AK Giri

Journal of Complexity, 87, 101980, 2025.

10.  A novel two-point Landweber-type method for Regularization of non-smooth inverse problems in Banach spaces

G Mittal, H Bajpai, AK Giri

Computational and Applied Mathematics, 43 (8), 426, 2024.

• H. Bajpai et al. Denoising iterative regularization with sequential data: Gaussian white noise regime.  2026+. 

• H. Bajpai et al. Adaptive stochastic block coordinate descent method  with early stopping for linear ill-posed problems in Hilbert space. 2026+.

• H. Bajpai et al. Data-driven stochastic asymptotic regularization method with noise independent stopping rules. 2026+.