5 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
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…
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection
Jian-Feng Cai, Zhiqiang Xu, Zili Xu
This paper delves into the spectral norm aspect of the Generalized Column and Row Subset Selection (GCRSS) problem. Given a target matrix , th…
Substructures of heavy flavor jets in and PbPb collisions at = 5.02 TeV
Qing Zhang, Zi-Xuan Xu, Wei Dai +2
Groomed jet substructure measurements, the momentum splitting fraction and the groomed jet radius , of inclusive, D-tagged and B-tagged jets in and central…
Interlacing Polynomial Method for the Column Subset Selection Problem
Jian-Feng Cai, Zhiqiang Xu, Zili Xu
This paper investigates the spectral norm version of the column subset selection problem. Given a matrix and a positive integer $k\leq\text{ra…
Improved bounds in Weaver's conjecture for high rank positive semidefinite matrices
Zhiqiang Xu, Zili Xu, Ziheng Zhu
Recently Marcus, Spielman and Srivastava proved Weaver's conjecture, which gives a positive solution to the Kadison-Singer problem. Cohen and Brändén independently ex…
The minimizers of the -frame potential
Zhiqiang Xu, Zili Xu
For any positive real number , the -frame potential of unit vectors is defined as ${\rm FP}_{p,N,d}(X)=\sum_{i\…