3 papers
math.OC2026
Uniformly Optimal and Parameter-free First-order Methods for Convex and Function-constrained Optimization
Qi Deng, Guanghui Lan, Zhenwei Lin
This paper presents new first-order methods for achieving optimal oracle complexities in convex optimization with convex functional constraints. Oracle complexities are measured by…
math.OC2025
Revisiting Randomized Smoothing: Nonsmooth Nonconvex Optimization Beyond Global Lipschitz Continuity
Jingfan Xia, Zhenwei Lin, Qi Deng
Randomized smoothing is a widely adopted technique for optimizing nonsmooth objective functions. However, its efficiency analysis typically relies on global Lipschitz continuity, a…
math.OC2025
Decentralized Gradient-Free Methods for Stochastic Non-Smooth Non-Convex Optimization
Zhenwei Lin, Jingfan Xia, Qi Deng +1
We consider decentralized gradient-free optimization of minimizing Lipschitz continuous functions that satisfy neither smoothness nor convexity assumption. We propose two novel gra…