19 citations · 40 across the 11 of their papers we have counts for
12 papers
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…
Stochastic Data-Driven Bouligand Landweber Method for Solving Non-smooth Inverse Problems
Harshit Bajpai, Gaurav Mittal, Ankik Kumar Giri
In this study, we present and analyze a novel variant of the stochastic gradient descent method, referred as Stochastic data-driven Bouligand Landweber iteration tailored for addre…
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…
A note on an inverse problem in algebra
Gaurav Mittal
In this paper, we discuss the inverse problem of determining a semisimple group algebra from the knowledge of rings of the type sum_{t=1}^s M_{n_t}(Ft), where j is an arbitrary int…
Non trivial idempotents of the matrix rings over polynomial ring Z_{pqr}[x]
Gaurav Mittal
In this paper, we study the non trivial idempotents of the matrix ring over the polynomial ring for distinct primes and greater than…
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…
Group ring based public key cryptosystems
Gaurav Mittal, Sunil Kumar, Shiv Narain +1
In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is…
A Vector Space Approach to Generate Dynamic Keys for Hill Cipher
Sunil Kumar, Sandeep Kumar, Gaurav Mittal +1
In this paper, a variant of the Hill cipher is proposed. In the classical Hill cipher, an invertible matrix is used for encryption but the scheme is vulnerable to the known-plainte…
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…