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Proceedings of the National Academy of Sciences· 2018Q1

Solving high-dimensional partial differential equations using deep learning

Jiequn Han, Arnulf Jentzen, E Weinan

Short summary

A novel deep learning algorithm effectively solves high-dimensional parabolic partial differential equations (PDEs) by reformulating them as backward stochastic differential equations and approximating solution gradients with neural networks.

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Field: Statistical and Nonlinear Physics

Statistical and Nonlinear PhysicsPhysics and Astronomy