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20192022
most citedCommunity Detection Based on the convergence of eigenvectors in DCBM

4 citations · 9 across the 4 of their papers we have counts for

collaborators

5 papers

math.ST2022★ 2 cited

Invariance principle and CLT for the spiked eigenvalues of large-dimensional Fisher matrices and applications

Dandan Jiang, Zhiqiang Hou, Zhidong Bai +1

This paper aims to derive asymptotical distributions of the spiked eigenvalues of the large-dimensional spiked Fisher matrices without Gaussian assumption and the restrictive assum…

math.ST2021

Spiked eigenvalues of noncentral Fisher matrix with applications

Xiaozhuo Zhang, Zhiqiang Hou, Zhidong Bai +1

In this paper, we investigate the asymptotic behavior of spiked eigenvalues of the noncentral Fisher matrix defined by , where ${\mat…

math.ST2019★ 2 cited

The limits of the sample spiked eigenvalues for a high-dimensional generalized Fisher matrix and its applications

Dandan Jiang, Jiang Hu, Zhiqiang Hou

A generalized spiked Fisher matrix is considered in this paper. We establish a criterion for the description of the support of the limiting spectral distribution of high-dimensiona…

math.ST2019★ 4 cited

Community Detection Based on the convergence of eigenvectors in DCBM

Yan Liu, Zhiqiang Hou, Zhigang Yao +3

Spectral clustering is one of the most popular algorithms for community detection in network analysis. Based on this rationale, in this paper we give the convergence rate of eigenv…

math.ST2019★ 1 cited

Generalized Four Moment Theorem with an application to the CLT for the spiked eigenvalues of high-dimensional general Fisher-matrices

Dandan Jiang, Zhiqiang Hou, Zhidong Bai

The universality for the local spiked eigenvalues is a powerful tool to deal with the problems of the asymptotic law for the bulks of spiked eigenvalues of high-dimensional general…