7 papers
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…
Convergence rates of Landweber-type methods for inverse problems in Banach spaces
Qinian Jin
Landweber-type methods are prominent for solving ill-posed inverse problems in Banach spaces and their convergence has been well-understood. However, how to derive their convergenc…
Convergence analysis of a stochastic heavy-ball method for linear ill-posed problems
Qinian Jin, Yanjun Liu
In this paper we consider a stochastic heavy-ball method for solving linear ill-posed inverse problems. With suitable choices of the step-sizes and the momentum coefficients, we es…
An adaptive heavy ball method for ill-posed inverse problems
Qinian Jin, Qin Huang
In this paper we consider ill-posed inverse problems, both linear and nonlinear, by a heavy ball method in which a strongly convex regularization function is incorporated to detect…
Stochastic variance reduced gradient method for linear ill-posed inverse problems
Qinian Jin, Liuhong Chen
In this paper we apply the stochastic variance reduced gradient (SVRG) method, which is a popular variance reduction method in optimization for accelerating the stochastic gradient…
On convergence rates of proximal alternating direction method of multipliers
Qinian Jin
In this paper we consider from two different aspects the proximal alternating direction method of multipliers (ADMM) in Hilbert spaces. We first consider the application of the pro…
On growth error bound conditions with an application to heavy ball method
Qinian Jin
In this paper, we investigate the growth error bound condition. By using the proximal point algorithm, we first provide a more accessible and elementary proof of the fact that Kurd…