The stochastic projected gradient method for optimization problems on Hadamard manifolds
Abstract
In this paper, the stochastic projected gradient method for optimization problems is proposed on Hadamard manifolds, which utilize the Riemannian metric and curvature information.Under some specified assumptions on compactness and the problem geometry, the convergence rate of the stochastic projected gradient method for optimization problems is presented.Furthermore, assume in addition that f is σ-strongly convex for some σ > 0, some convergence results are also established on Hadamard manifolds.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Stochastic Gradient Optimization Techniques
Publication details
- Journal / source
- Optimization Eruditorum
- Volume
- 3
- Issue
- 1
- Publication date
- 4 March 2026
- Language
- EN