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math.OC2026
A Unified Algorithm for Nonconvex Decentralized Nonlinear Optimization
Hao Wu, Liping Wang
In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected und…
math.OC2025
Decentralized Conjugate Gradient and Memoryless BFGS Methods
Liping Wang, Hao Wu, Hongchao Zhang
This paper proposes a new decentralized conjugate gradient (NDCG) method and a decentralized memoryless BFGS (DMBFGS) method for the nonconvex and strongly convex decentralized opt…
math.OC2024
A Decentralized Primal-Dual Method with Quasi-Newton Tracking
Liping Wang, Hao Wu, Hongchao Zhang
This paper considers the decentralized optimization problem of minimizing a finite sum of strongly convex and twice continuously differentiable functions over a fixed-connected und…