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math.NA2026
Randomized Krylov-Projected Iterated Tikhonov Regularization for Large-Scale Ill-posed Problems Under A Posteriori Stopping Rule
Ravi Verma, Harshit Bajpai, Ankik Kumar Giri
We introduce two novel randomized iterative regularization frameworks, termed \texttt{RIGKT} and \texttt{RIAT}, for solving large-scale linear ill-posed inverse problems governed b…
math.NA2026
On the convergence of an adaptive denoiser driven iterative regularization with early stopping
Harshit Bajpai, Ankik Kumar Giri, Tim Jahn +1
Solving inverse problems requires appropriate regularization techniques to ensure well-posedness and stability. In recent years, denoiser-driven methods have emerged as effective r…
math.NA2026
Graph Laplacian assisted regularization method under noise level free heuristic and statistical stopping rule
Harshit Bajpai, Ankik Kumar Giri
In this work, we address the solution of both linear and nonlinear ill-posed inverse problems by developing a novel graph-based regularization framework, where the regularization t…