In the chapter, we apply the weak approximation method introduced in the previous chapter for solving a parabolic partial differential equation and a backward dynamic programming problem. In particular, we solve nested conditional expectations appearing in Bermudan option pricing problem by deep learning-based least squares regression combined with the weak approximation under high-dimensional diffusion settings.

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Application: Deep Learning-Based Weak Approximation

  • Akihiko Takahashi,
  • Toshihiro Yamada

摘要

In the chapter, we apply the weak approximation method introduced in the previous chapter for solving a parabolic partial differential equation and a backward dynamic programming problem. In particular, we solve nested conditional expectations appearing in Bermudan option pricing problem by deep learning-based least squares regression combined with the weak approximation under high-dimensional diffusion settings.