105 citations · 358 across the 18 of their papers we have counts for
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cs.LG2021★ 4 cited
Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control
Mark Ainsworth, Justin Dong
We present a new approach to using neural networks to approximate the solutions of variational equations, based on the adaptive construction of a sequence of finite-dimensional sub…
cs.LG2020★ 3 cited
Plateau Phenomenon in Gradient Descent Training of ReLU networks: Explanation, Quantification and Avoidance
Mark Ainsworth, Yeonjong Shin
The ability of neural networks to provide `best in class' approximation across a wide range of applications is well-documented. Nevertheless, the powerful expressivity of neural ne…