37 citations · 162 across the 25 of their papers we have counts for
3 papers · 1 filter
Wave propagation for reaction-diffusion equations on infinite random trees
Wai-Tong Louis Fan, Wenqing Hu, Grigory Terlov
The asymptotic wave speed for FKPP type reaction-diffusion equations on a class of infinite random metric trees are considered. We show that a travelling wavefront emerges, provide…
On the Noisy Gradient Descent that Generalizes as SGD
Jingfeng Wu, Wenqing Hu, Haoyi Xiong +3
The gradient noise of SGD is considered to play a central role in the observed strong generalization abilities of deep learning. While past studies confirm that the magnitude and t…
Quasi-potential as an implicit regularizer for the loss function in the stochastic gradient descent
Wenqing Hu, Zhanxing Zhu, Haoyi Xiong +1
We interpret the variational inference of the Stochastic Gradient Descent (SGD) as minimizing a new potential function named the \textit{quasi-potential}. We analytically construct…