Xinyue Zhang

collaborators

3 papers

math.CO2026

An Improved Upper Bound for the Bilu-Linial Conjecture via Interlacing Families

Zhiqiang Xu, Xinyue Zhang

The Bilu-Linial conjecture asserts that every $d$ -regular graph admits a signing $I ¨ $ such that the spectral radius of the signed adjacency matrix $A_{I ¨} $ satisfies $Ï(A_Ï)\le 2\s…

math.NA2026

Stability of Least Squares Approximation under Random Sampling

Zhiqiang Xu, Xinyue Zhang

This paper investigates the stability of the least squares approximation $P_{m}^{n}$ within the univariate polynomial space of degree $m$ , denoted by $P_{m}$ . The approximation…

cs.IT2026

Optimal Frames for Phase Retrieval from Edge Vectors of Optimal Polygons

Zhiqiang Xu, Zili Xu, Xinyue Zhang

This paper aims to characterize the optimal frame for phase retrieval, defined as the frame whose condition number for phase retrieval attains its minimal value. In the context of…