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math.ST2025
Network Goodness-of-Fit for the block-model family
Jiashun Jin, Zheng Tracy Ke, Jiajun Tang +1
The block-model family has four popular network models (SBM, DCBM, MMSBM, and DCMM). A fundamental problem is, how well each of these models fits with real networks. We propose GoF…
math.ST2020
Statistical inference for principal components of spiked covariance matrices
Zhigang Bao, Xiucai Ding, Jingming Wang +1
In this paper, we study the asymptotic behavior of the extreme eigenvalues and eigenvectors of the high dimensional spiked sample covariance matrices, in the supercritical case whe…
math.ST2019
Principal components of spiked covariance matrices in the supercritical regime
Zhigang Bao, Xiucai Ding, Jingming Wang +1
In this paper, we study the asymptotic behavior of the extreme eigenvalues and eigenvectors of the spiked covariance matrices, in the supercritical regime. Specifically, we derive…