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math.OC2026
Parameter-Free Adaptive Extragradient Methods for Generalized-Smooth Variational Inequalities
Zhaoyang Chu, Hongwei Liu, Yakui Huang
Variational inequalities (VIs) provide a unified framework for optimization, saddle-point, equilibrium, and learning problems, where operators need not be globally Lipschitz. The $…
math.OC2024
Analytic analysis of the worst-case complexity of the gradient method with exact line search and the Polyak stepsize
Ya-Kui Huang, Hou-Duo Qi
We give a novel analytic analysis of the worst-case complexity of the gradient method with exact line search and the Polyak stepsize, respectively, which previously could only be e…