19 citations · 40 across the 11 of their papers we have counts for
6 papers · 1 filter
On the convergence of iterative regularization method assisted by the graph Laplacian with early stopping
Harshit Bajpai, Gaurav Mittal, Ankik Kumar Giri
We present a data-assisted iterative regularization method for solving ill-posed inverse problems. The proposed approach, termed \texttt{IRMGL+\(Ψ\)}, integrates classical iterativ…
Hanke-Raus heuristic rule for iteratively regularized stochastic gradient descent
Harshit Bajpai, Gaurav Mittal, Ankik Kumar Giri
Over the past decade, stochastic algorithms have emerged as scalable and efficient tools for solving large-scale ill-posed inverse problems by randomly selecting subsets of equatio…
A novel two-point gradient method for Regularization of inverse problems in Banach spaces
Gaurav Mittal, Ankik Kumar Giri
In this paper, we introduce a novel two-point gradient method for solving the ill-posed problems in Banach spaces and study its convergence analysis. The method is based on the wel…
Convergence rates for inverse Problems in Hilbert spaces: A Comparative Study
Gaurav Mittal, Ankik Kumar Giri
In this paper, we apply a new kind of smoothness concept, i.e. Hölder stability estimates for the determination of convergence rates of Tikhonov regularization for linear and non-l…
Convergence rates of nonlinear inverse problems in Banach spaces: conditional stability and weaker norms
Gaurav Mittal, Ankik Kumar Giri
In this short note, we formulate the convergence rates of the well known Tikhonov regularization scheme for solving the nonlinear ill-posed problems in Banach spaces. For deriving…
Iteratively regularized landweber iteration method: Convergence analysis via Hölder Stability
Gaurav Mittal, Ankik Kumar Giri
In this paper, the local convergence of Iteratively regularized Landweber iteration method is investigated for solving non-linear inverse problems in Banach spaces. Our analysis ma…