3 papers
math.OC2025
Bregman Linearized Augmented Lagrangian Method for Nonconvex Constrained Stochastic Zeroth-order Optimization
Qiankun Shi, Xiao Wang, Hao Wang
In this paper, we study nonconvex constrained stochastic zeroth-order optimization problems, for which we have access to exact information of constraints and noisy function values…
math.OC2024
Anderson Acceleration in Nonsmooth Problems: Local Convergence via Active Manifold Identification
Kexin Li, Luwei Bai, Xiao Wang +1
Anderson acceleration is an effective technique for enhancing the efficiency of fixed-point iterations; however, analyzing its convergence in nonsmooth settings presents significan…
math.OC2024
Minimization Over the Nonconvex Sparsity Constraint Using A Hybrid First-order method
Xiangyu Yang, Hao Wang, Yichen Zhu +1
We investigate a class of nonconvex optimization problems characterized by a feasible set consisting of level-bounded nonconvex regularizers, with a continuously differentiable obj…