A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations

Yulong Lu, Jianfeng Lu 0001, Min Wang. A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations. In Mikhail Belkin, Samory Kpotufe, editors, Conference on Learning Theory, COLT 2021, 15-19 August 2021, Boulder, Colorado, USA. Volume 134 of Proceedings of Machine Learning Research, pages 3196-3241, PMLR, 2021. [doi]

Abstract

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