Convergence rate of inexact gradient methods for functions satisfying the Łojasiewicz inequality
Abstract
In this paper, we consider the abstract descent method proposed and developed by Khanh, Mordukhovich, Tran [J Optim Theory Appl; 2023. Available from: https://doi.org/10.1007/s10957-023-02319-9]. In our analysis, we revisited the result about convergence rate presented by Khanh, Mordukhovich, Tran and presented new results that both enhance the understanding of the zero exponent in smooth KL functions and broaden the discussion on the inconsistency between the lower exponent KL property and Lipschitz continuity of gradients to more general situations.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Stochastic Gradient Optimization Techniques
Publication details
- Journal / source
- Optimization
- Volume
- 75
- Issue
- 13
- Pages
- 3699–3708
- Publication date
- 12 February 2026
- Language
- EN