Work

The Proximal Gradient Method for Composite Optimization Problems on Riemannian Manifolds

Year: 2024

Type: article

Abstract: In this paper, the composite optimization problem is studied on Riemannian manifolds. To tackle this problem, the proximal gradient method to solve composite optimization problems is proposed on Riemannian manifolds. Under some reasonable conditions, the convergence of the proximal gradient method with the backtracking procedure in the nonconvex case is presented. Furthermore, a sublinear convergence rate and the complexity result of the proximal gradient method for convex case are also established on Riemannian manifolds.

Source: Mathematics

DOI: 10.3390/math12172638

Author: Xiaobo Li

Institution: Civil Aviation Flight University of China

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955