40 citations · 171 across the 18 of their papers we have counts for
7 papers · 1 filter
The global landscape of phase retrieval II: quotient intensity models
Jian-Feng Cai, Meng Huang, Dong Li +1
A fundamental problem in phase retrieval is to reconstruct an unknown signal from a set of magnitude-only measurements. In this work we introduce three novel quotient intensity-bas…
The global landscape of phase retrieval I: perturbed amplitude models
Jian-Feng Cai, Meng Huang, Dong Li +1
A fundamental task in phase retrieval is to recover an unknown signal $\vx\in \Rn$ from a set of magnitude-only measurements $y_i=\abs{\nj{\va_i,\vx}}, \; i=1,\ldots,m$. In this pa…
Non-Asymptotic Error Bounds for Bidirectional GANs
Shiao Liu, Yunfei Yang, Jian Huang +2
We derive nearly sharp bounds for the bidirectional GAN (BiGAN) estimation error under the Dudley distance between the latent joint distribution and the data joint distribution wit…
Linear convergence of randomized Kaczmarz method for solving complex-valued phaseless equations
Meng Huang, Yang Wang
A randomized Kaczmarz method was recently proposed for phase retrieval, which has been shown numerically to exhibit empirical performance over other state-of-the-art phase retrieva…
Error Analysis of Deep Ritz Methods for Elliptic Equations
Yuling Jiao, Yanming Lai, Yisu Lo +2
Using deep neural networks to solve PDEs has attracted a lot of attentions recently. However, why the deep learning method works is falling far behind its empirical success. In thi…
An error analysis of generative adversarial networks for learning distributions
Jian Huang, Yuling Jiao, Zhen Li +3
This paper studies how well generative adversarial networks (GANs) learn probability distributions from finite samples. Our main results establish the convergence rates of GANs und…