A hybrid deep learning method solves high-dimensional parabolic PDEs by combining coarse stochastic trajectory sampling with local antithetic residual estimation, demonstrated up to dimension 10,000.
Proceedings of the National Academy of Sciences 115(34), 8505–8510 (2018)
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A deep shotgun method for solving high-dimensional parabolic partial differential equations
A hybrid deep learning method solves high-dimensional parabolic PDEs by combining coarse stochastic trajectory sampling with local antithetic residual estimation, demonstrated up to dimension 10,000.