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math.OC2026
A New Primal-Dual Algorithm with Two Convex Combinations and Linesearch for General Convex-Concave Saddle-Point Problems
Zexian Liu, Shuning Liu, Jialong Li
Convex-concave saddle-point problems are ubiquitous across diverse domains, including machine learning, image processing, economics, and equilibrium problems. Primal-dual algorithm…
math.OC2025
New Primal-Dual Algorithm for Convex Problems
Shuning Liu, Zexian Liu
Primal-dual algorithm (PDA) is a classic and popular scheme for convex-concave saddle point problems. It is universally acknowledged that the proximal terms in the subproblems abou…