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math.OC2026
Heavy-Ball Method under Randomized Schedules
Chang He, Shuzhong Zhang
We study how predefined randomized parameter schedules accelerate the heavy-ball method on general smooth convex objectives. Our analysis distinguishes two levels of randomization:…
math.OC2026
On the Nature of Regularity Assumptions in Bilevel Optimization with Constrained Lower-level Problem
Xiaotian Jiang, Chang He, Mingyi Hong +1
In this paper, we study the regularity assumptions commonly adopted in bilevel optimization with constrained lower-level problems, including the linear independence constraint qual…
math.OC2026
Adaptive Single-Loop Methods for Stochastic Minimax Optimization on Riemannian Manifolds
Hongye Wang, Chang He, Bo Jiang
Stochastic minimax optimization on Riemannian manifolds has recently attracted significant attention due to its broad range of applications, such as robust training of neural netwo…