56 citations · 368 across the 53 of their papers we have counts for
6 papers · 1 filter
Accelerated Gradient and Skew-Symmetric Splitting Methods for a Class of Monotone Operator Equations
Long Chen, Jingrong Wei
A class of monotone operator equations, which can be decomposed into sum of the gradient of a strongly convex function and a linear and skew-symmetric operator, is considered in th…
Transformed Primal-Dual Methods For Nonlinear Saddle Point Systems
Long Chen, Jingrong Wei
A transformed primal-dual (TPD) flow is developed for a class of nonlinear smooth saddle point system. The flow for the dual variable contains a Schur complement which is strongly…
A Unified Convergence Analysis of First Order Convex Optimization Methods via Strong Lyapunov Functions
Long Chen, Hao Luo
We present a unified convergence analysis for first order convex optimization methods using the concept of strong Lyapunov conditions. Combining this with suitable time scaling fac…
Randomized Fast Subspace Descent Methods
Long Chen, Xiaozhe Hu, Huiwen Wu
Randomized Fast Subspace Descent (RFASD) Methods are developed and analyzed for smooth and non-constraint convex optimization problems. The efficiency of the method relies on a spa…
First order optimization methods based on Hessian-driven Nesterov accelerated gradient flow
Long Chen, Hao Luo
A novel dynamical inertial Newton system, which is called Hessian-driven Nesterov accelerated gradient (H-NAG) flow is proposed. Convergence of the continuous trajectory are establ…
From differential equation solvers to accelerated first-order methods for convex optimization
Hao Luo, Long Chen
Convergence analysis of accelerated first-order methods for convex optimization problems are presented from the point of view of ordinary differential equation solvers. A new dynam…