9 citations · 13 across the 6 of their papers we have counts for
6 papers
On an error term for the first moment of twisted -functions
Xinyi He
Let be a Hecke-Maass cusp form for the full modular group and let be a primitive Dirichlet character modulo a prime . Let with . We…
Perturbed primal-dual dynamics with damping and time scaling coefficients for affine constrained convex optimization problems
Xin He, Rong Hu, Ya-Ping Fang
In Hilbert space, we propose a family of primal-dual dynamical system for affine constrained convex optimization problem. Several damping coefficients, time scaling coefficients, a…
Inertial primal-dual methods for linear equality constrained convex optimization problems
Xin He, Rong Hu, Ya-Ping Fang
In this paper, we propose an inertial accelerated primal-dual method for the linear equality constrained convex optimization problem. When the objective function has a ``nonsmooth…
"Second-Order Primal'' + "First-Order Dual'' Dynamical Systems with Time Scaling for Linear Equality Constrained Convex Optimization Problems
Xin He, Rong Hu, Ya-Ping Fang
Second-order dynamical systems are important tools for solving optimization problems, and most of existing works in this field have focused on unconstrained optimization problems.…
Fast primal-dual algorithm via dynamical system for a linearly constrained convex optimization problem
Xin He, Rong Hu, Ya-Ping Fang
By time discretization of a second-order primal-dual dynamical system with damping where an inertial construction in the sense of Nesterov is needed only for the primal varia…
Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems
Xin He, Rong Hu, Ya-Ping Fang
In this paper, we propose a second-order continuous primal-dual dynamical system with time-dependent positive damping terms for a separable convex optimization problem with linear…