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math.RA2025
Generalized Interlacing Families: New Error Bounds for CUR Matrix Decompositions
Jian-Feng Cai, Zhiqiang Xu, Zili Xu
This paper introduces the concept of generalized interlacing families of polynomials, which extends the classical interlacing polynomial method to handle polynomials of varying deg…
cs.IT2025
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…