3 papers
math.CO2025
Existence and nonexistence of spherical -designs of minimal type
Sho Suda, Zili Xu, Wei-Hsuan Yu
This paper investigates the existence and properties of spherical -designs of minimal type. We focus on two cases: tight spherical -designs and antipodal spherical -distan…
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})=|\bol…
math.CO2020
Bounds on antipodal spherical designs with few angles
Zhiqiang Xu, Zili Xu, Wei-Hsuan Yu
A finite subset on the unit sphere is called an -distance set with strength if its angle set $A(X):=\{\langle \mathbf{x},\mathbf{y}\rangle : \mathbf{x…