Showing math.OCShow all
3 papers · 1 filter
math.OC2026
A Fletcher's Augmented Lagrangian-Based Stochastic First-Order Method for Nonconvex Equality-Constrained Optimization
Yawen Cui, Qiankun Shi, Xiao Wang +1
In this paper, we study nonconvex equality-constrained optimization problems in which only stochastic first-order approximations of the objective and constraint functions are avail…
math.OC2025
Adaptive directional decomposition methods for nonconvex constrained optimization
Qiankun Shi, Xiao Wang
In this paper, we study nonconvex constrained optimization problems with both equality and inequality constraints, covering deterministic and stochastic settings. We propose a nove…
math.OC2025
Optimal Complexity in Byzantine-Robust Distributed Stochastic Optimization with Data Heterogeneity
Qiankun Shi, Jie Peng, Kun Yuan +2
In this paper, we establish tight lower bounds for Byzantine-robust distributed first-order stochastic optimization methods in both strongly convex and non-convex stochastic optimi…