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math.NA2021★ 3 cited
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…
math.NA2021
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…
math.NA2020
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…