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math.OC2025
Nonmonotone Trust-Region Methods for Optimization of Set-Valued Mapping of Finite Cardinality
Suprova Ghosh, Debdas Ghosh, Zai-Yun Peng +1
Non-monotone trust-region methods are known to provide additional benefits for scalar and multi-objective optimization, such as enhancing the probability of convergence and improvi…
math.OC2024
Continuous and discrete-time accelerated methods for an inequality constrained convex optimization problem
Juan Liu, Nan-Jing Huang, Xian-Jun Long +1
This paper is devoted to the study of acceleration methods for an inequality constrained convex optimization problem by using Lyapunov functions. We first approximate such a proble…
math.OC2022
Variance-Based Bregman Extragradient Algorithm with Line Search for Solving Stochastic Variational Inequalities
Xian-Jun Long, Yue-Hong He, Nan-Jing Huang
The main purpose of this paper is to propose a variance-based Bregman extragradient algorithm with line search for solving stochastic variational inequalities, which is robust with…