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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…
math.OC2026
A unified framework for inexact adaptive stepsizes in the gradient methods, the conjugate gradient methods and the quasi-Newton methods for strictly convex quadratic optimization
Zexian Liu
The inexact adaptive stepsizes for the conjugate gradient method and the quasi-Newton method are very rare. The exact stepsizes in the gradient method, the conjugate gradient metho…