1 citations · 1 across the 7 of their papers we have counts for
7 papers
The Minimum Number of Measurements for Almost-Everywhere Complex Phase Retrieval
Zhiqiang Xu
Let and let . We prove that if , then the intensity measurement map \[ \bf{x}\longmapsto \bigl( |\langle \bf{x},\bf{f}…
Optimal Condition Numbers in Low-Rank Positive Semidefinite Matrix Sensing
Mingxuan Sun, Zhiqiang Xu
In this paper we focus on the stability of positive semidefinite matrix sensing maps where , and $\ope…
Fourier Phase Retrieval for Finite Unions of Intervals
Yu Xia, Zhiqiang Xu
This paper investigates the one-dimensional Fourier phase retrieval problem for indicator functions of finite unions of intervals. Specifically, we study the recovery of a set $Ω=…
Instance optimality in phase retrieval
Yu Xia, Zhiqiang Xu
Compressed sensing has demonstrated that a general signal () can be estimated from few linear measurement…
On the Performance of Amplitude-Based Models for Low-Rank Matrix Recovery
Huanmin Ge, Zhiqiang Xu
In this paper, we focus on low-rank phase retrieval, which aims to reconstruct a matrix with from noi…
Finite Samples for Shallow Neural Networks
Yu Xia, Zhiqiang Xu
This paper investigates the ability of finite samples to identify two-layer irreducible shallow networks with various nonlinear activation functions, including rectified linear uni…