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

Authors :
Ying Peng
Shaolin Ji
Shige Peng
Xichuan Zhang
Source :
IEEE Intelligent Systems. 35:71-84
Publication Year :
2020
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2020.

Abstract

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.

Details

ISSN :
19411294 and 15411672
Volume :
35
Database :
OpenAIRE
Journal :
IEEE Intelligent Systems
Accession number :
edsair.doi...........13bcd5887ccdb4e9e03cdf48735c1054
Full Text :
https://doi.org/10.1109/mis.2020.2971597