9 citations · 17 across the 5 of their papers we have counts for
8 papers
Coadjoint averaging and cross-scale fluxes in a fast-slow stochastic Euler-Arnold system on
Wenqing Hu
We study the emergence of (cross-scale) fluxes associated with energy and enstrophy in a stochastic version of Zeitlin's approximation of 2-d Euler dynamics. Motivated by t…
Wave propagation for 1-dimensional reaction-diffusion equations with nonzero random drift
Dihang Guan, Hui He, Wenqing Hu +1
We consider the wave propagation for a reaction-diffusion equation on the real line, with a random drift and Fisher-Kolmogorov-Petrovskii-Piscounov (FKPP) type nonlinear reaction.…
On the Posterior Distribution of a Random Process Conditioned on Empirical Frequencies of a Finite Path: the i.i.d and finite Markov chain case
Wenqing Hu, Hong Qian
We obtain the posterior distribution of a random process conditioned on observing the empirical frequencies of a finite sample path. We find under a rather broad assumption on the…
Stochastic Recursive Momentum Method for Non-Convex Compositional Optimization
Huizhuo Yuan, Wenqing Hu
We propose a novel stochastic optimization algorithm called STOchastic Recursive Momentum for Compositional (STORM-Compositional) optimization that minimizes the composition of exp…
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…