34 citations · 212 across the 40 of their papers we have counts for
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stat.ME2020★ 1 cited
Exponential-wrapped distributions on symmetric spaces
Emmanuel Chevallier, Didong Li, Yulong Lu +1
In many applications, the curvature of the space supporting the data makes the statistical modelling challenging. In this paper we discuss the construction and use of probability d…
cs.LG2020★ 34 cited
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions
Yulong Lu, Jianfeng Lu
This paper studies the universal approximation property of deep neural networks for representing probability distributions. Given a target distribution and a source distributio…
stat.ML2020★ 24 cited
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth
Yiping Lu, Chao Ma, Yulong Lu +2
Training deep neural networks with stochastic gradient descent (SGD) can often achieve zero training loss on real-world tasks although the optimization landscape is known to be hig…