40 citations · 171 across the 18 of their papers we have counts for
5 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…
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…
Provable Near-Optimal Low-Multilinear-Rank Tensor Recovery
Jian-Feng Cai, Lizhang Miao, Yang Wang +1
We consider the problem of recovering a low-multilinear-rank tensor from a small amount of linear measurements. We show that the Riemannian gradient algorithm initialized by one st…