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Three Algorithms for Solving High-Dimensional Fully Coupled FBSDEs Through Deep Learning
- 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.
- Subjects :
- Stochastic control
Partial differential equation
Artificial neural network
Computer Networks and Communications
Computer science
Differential equation
business.industry
Deep learning
02 engineering and technology
Optimal control
Parabolic partial differential equation
Stochastic differential equation
Artificial Intelligence
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
Artificial intelligence
business
Algorithm
Subjects
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