3 papers
math.FA2025
Instance optimality in phase retrieval
Yu Xia, Zhiqiang Xu
Compressed sensing has demonstrated that a general signal () can be estimated from few linear measurement…
cs.LG2025
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…
cs.IT2024
Stability in Phase Retrieval: Characterizing Condition Numbers and the Optimal Vector Set
Yu Xia, Zhiqiang Xu, Zili Xu
In this paper, we primarily focus on analyzing the stability property of phase retrieval by examining the bi-Lipschitz property of the map $Φ_{\boldsymbol{A}}(\boldsymbol{x})=|\bo…