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Three algorithms for solving high-dimensional fully-coupled FBSDEs through deep learning (1907.05327v4)
Published 11 Jul 2019 in math.NA, cs.LG, cs.NA, and math.PR
Abstract: Recently, the deep learning method has been used for solving forward-backward stochastic differential equations (FBSDEs) and parabolic partial differential equations (PDEs). It has good accuracy and performance for high-dimensional problems. In this paper, we mainly solve fully coupled FBSDEs through deep learning and provide three algorithms. Several numerical results show remarkable performance especially for high-dimensional cases.