activity
20192026
most citedA novel control method for solving high-dimensional Hamiltonian systems through deep neural networks

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.OC2026

A Posteriori Error Analysis for Decoupled Neural Approximations of Fully Coupled FBSDEs with Control Mismatch

Xichuan Zhang

This paper develops an a posteriori error analysis framework for decoupled neural approximations of fully coupled forward--backward stochastic differential equations (FBSDEs). It p…

math.OC2022

A deep learning method for solving stochastic optimal control problems driven by fully-coupled FBSDEs

Shaolin Ji, Shige Peng, Ying Peng +1

In this paper,we mainly focus on the numerical solution of high-dimensional stochastic optimal control problem driven by fully-coupled forward-backward stochastic differential equa…

math.OC2021★ 1 cited

A novel control method for solving high-dimensional Hamiltonian systems through deep neural networks

Shaolin Ji, Shige Peng, Ying Peng +1

In this paper, we mainly focus on solving high-dimensional stochastic Hamiltonian systems with boundary condition, which is essentially a Forward Backward Stochastic Differential E…

math.OC2020

Solving stochastic optimal control problem via stochastic maximum principle with deep learning method

Shaolin Ji, Shige Peng, Ying Peng +1

In this paper, we aim to solve the high dimensional stochastic optimal control problem from the view of the stochastic maximum principle via deep learning. By introducing the exten…

math.NA2019

Three algorithms for solving high-dimensional fully-coupled FBSDEs through deep learning

Shaolin Ji, Shige Peng, Ying Peng +1

Recently, the deep learning method has been used for solving forward-backward stochastic differential equations (FBSDEs) and parabolic partial differential equations (PDEs). It has…