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1. MgNet: A Unified Framework of Multigrid and Convolutional Neural Network, J. He, J. Xu, Science China Mathematics, 2019. [paper, code]


This paper relates two totally different fields, namely multigrid methods for solving partial differential equations and convolutional neural networks for image classification by a unified algorithm known as MgNet. In particular, it shows that an effective and new class of convolutional neural network models can be directly obtained by making some minor modification of a geometric multigrid method.

(44 Google Scholar citations as of November 6th, 2021)