2 papers
math.NA2026
On a posteriori stopping rules of adaptive stochastic heavy ball method for ill-posed problems
Ruixue Gu, Qinian Jin
In this paper we develop a stochastic heavy ball method for solving ill-posed inverse problems. The method updates the iterate using only a randomly selected equation at each itera…
math.NA2024
Stochastic gradient descent method with convex penalty for ill-posed problems in Banach spaces
Ruixue Gu, Zhenwu Fu, Bo Han +1
In this work, we investigate a stochastic gradient descent method for solving inverse problems that can be written as systems of linear or nonlinear ill-posed equations in Banach s…