3 papers
math.ST2026
Tight Sampling Complexity with stochastic gradient oracles in Fixed Dimensions
Weiming Ou, Xiao Wang
We investigate the stochastic-gradient query complexity of sampling smooth strongly log-concave distributions in any fixed Euclidean dimension. The potential is -strongly convex…
math.OC2026
Heavy-Tailed First-Order Optimization for Polyak-Łojasiewicz Condition: High-Dimensional Minimax Bounds, High-Probability Guarantee, and Fixed-Dimensional Improvements
Weiming Ou, Xiao Wang
We study smooth Polyak--Łojasiewicz (PL) optimization with conditionally unbiased stochastic gradients satisfying \[ \mathbb E\!\left[ \|G_t-\nabla f(x_t)\|^α\mid\mathcal F_{t-1} \…
cs.LG2026
Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach
Yi Feng, Weiming Ou, Xiao Wang
The remarkable success of the Adam in training neural networks has naturally led to the widespread use of its descent-ascent counterpart, Adam-DA, for solving zero-sum games. Despi…