1 code implementation • 12 Jun 2021 • Senwei Liang, Shixiao W. Jiang, John Harlim, Haizhao Yang
In a well-posed elliptic PDE setting, when the hypothesis space consists of neural networks with either infinite width or depth, we show that the global minimizer of the empirical loss function is a consistent solution in the limit of large training data.
no code implementations • 13 Oct 2019 • John Harlim, Shixiao W. Jiang, Senwei Liang, Haizhao Yang
This article presents a general framework for recovering missing dynamical systems using available data and machine learning techniques.