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math.OC2024
A Convergent ADMM Algorithm for Grain Boundary Energy Minimization
Yue Wu, Luchan Zhang, Yang Xiang
In this paper, we study a constrained minimization problem that arise from materials science to determine the dislocation (line defect) structure of grain boundaries. The problems…
math.OC2024
Some Unified Theory for Variance Reduced Prox-Linear Methods
Yue Wu, Benjamin Grimmer
This work considers the nonconvex, nonsmooth problem of minimizing a composite objective of the form where the inner mapping is a smooth finite summation or expe…
math.OC2024
Why does the two-timescale Q-learning converge to different mean field solutions? A unified convergence analysis
Jing An, Jianfeng Lu, Yue Wu +1
We revisit the unified two-timescale Q-learning algorithm as initially introduced by Angiuli et al. \cite{angiuli2022unified}. This algorithm demonstrates efficacy in solving mean…