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Three Algorithms for Solving High-Dimensional Fully Coupled FBSDEs Through Deep Learning

delete2020-05-01
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嵇少林 (Shaolin Ji)
S
Shigē Péng
Y
Ying Peng *
X
Xichuan Zhang *
DOI:10.1109/MIS.2020.2971597delete
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Abstract

Abstract

En 中文
Recently, the deep learning method has been used for solving forward-backward stochastic differential equations (FBSDEs) and parabolic partial differential equations, as it has good accuracy and performance for high-dimensional problems. In this article, we mainly solve fully coupled FBSDEs through deep learning and provide three algorithms, and the numerical results show remarkable performance, especially for high-dimensional cases.
Keywords:
Stochastic processes
Optimal control
Neural networks
Feedback control
Intelligent systems
Deep learning
Differential equations
deep learning
fully-coupled FBSDEs
high-dimensional equation
stochastic control
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Journal

IEEE Intelligent Systems cover
IEEE Intelligent Systems
IF:
6.1
Papers:
1.6K
Citations:
4.5K

Organization

S
shandong university
Scholars:
9.4W
Papers: 6.4W
Citations: 94