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math.OC2026
Averaged proximal reflected gradient method for monotone variational inequalities
Xiaokai Chang, Jialin Li, Jun Yang
Projected reflected gradient (PRG) method proposed by Malitsky is efficient for solving monotone variational inequality (MVI), while the existing upper bound of step size is not ti…
math.OC2026
A New Primal-Dual Algorithm with Convex Combination and Extrapolation for Convex-Concave Saddle Point Problems with Nonlinear Coupling Term
Jialong Li, Zexian Liu, Xiaokai Chang
Convex-concave saddle point problems with nonlinear coupling term have wide applications in signal processing, machine learning, robust optimization, and generative models, among o…