5 papers
Primal-dual dynamical systems with closed-loop control for convex optimization in continuous and discrete time
Huan Zhang, Xiangkai Sun, Shengjie Li +1
This paper develops a primal-dual dynamical system where the coefficients are designed in closed-loop way for solving a convex optimization problem with linear equality constraints…
Inertial accelerated primal-dual algorithms for non-smooth convex optimization problems with linear equality constraints
Huan Zhang, Xiangkai Sun, Shengjie Li +1
This paper is devoted to the study of an inertial accelerated primal-dual algorithm, which is based on a second-order differential system with time scaling, for solving a non-smoot…
Convergence analysis of a Tikhonov regularized inertial dynamical system and algorithm for convex optimization problems
Xiangkai Sun, Guoxiang Tian, Huan Zhang
This paper deals with a Tikhonov regularized second-order inertial dynamical system that incorporates time scaling, asymptotically vanishing damping and Hessian-driven damping for…
Non-Markovian Quantum Jump Method for Driven-Dissipative Two-Level Systems
Huanyuan Zhang, Jiasen Jin
We propose a modified non-Markovian quantum jump method to overcome the obstacle of dramatically increased trajectory number in conventional quantum trajectory simulations. In our…
Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations
Huan Zhang, Yifan Chen, Eric Vanden-Eijnden +1
Sequential-in-time methods solve a sequence of training problems to fit nonlinear parametrizations such as neural networks to approximate solution trajectories of partial different…