19 citations · 40 across the 5 of their papers we have counts for
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math.NA2019★ 2 cited
A randomized Newton's method for solving differential equations based on the neural network discretization
Qipin Chen, Wenrui Hao
We develop a randomized Newton's method for solving differential equations, based on a fully connected neural network discretization. In particular, the randomized Newton's method…
math.OC2019★ 19 cited
A homotopy training algorithm for fully connected neural networks
Qipin Chen, Wenrui Hao
In this paper, we present a Homotopy Training Algorithm (HTA) to solve optimization problems arising from fully connected neural networks with complicated structures. The HTA dynam…