19 citations · 27 across the 34 of their papers we have counts for
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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…
Existence and Non-existence for Exchange-Driven Growth Model
Saroj Si, Ankik Kumar Giri
The exchange-driven growth (EDG) model describes the evolution of clusters through the exchange of single monomers between pairs of interacting clusters. The dynamics of this proce…
Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer
Ram Gopal Jaiswal, Ankik Kumar Giri
A mathematical model for the continuous nonlinear fragmentation equation is considered in the presence of mass transfer. In this paper, we demonstrate the existence of mass-conserv…
Well-posedness of the growth-coagulation equation with singular kernels
Ankik Kumar Giri, Philippe Laurençot, Saroj Si
The well-posedness of the growth-coagulation equation is established for coagulation kernels having singularity near the origin and growing atmost linearly at infinity. The existen…
Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
Ram Gopal Jaiswal, Ankik Kumar Giri
Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. Th…
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…