3 papers
math.NA2025
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 iterati…
math.NA2025
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…
math.GR2024
A Note on Fuzzy Automorphism and Inner Automorphism of Groups
Shiv Narain, Sunil Kumar, Sandeep Kumar +1
The fuzzification of classical set theory came into existence when Zadeh [1] laid down the concept of a fuzzy set as a generalization of a crisp set. The objective of this paper is…