3 citations · 5 across the 7 of their papers we have counts for
6 papers · 1 filter
Applications of Royen's Gaussian Correlation Inequality in high-dimensional testing
Jiashun Jin, Zheng Tracy Ke, Jingming Wang
Royen's Gaussian Correlation Inequality (GCI) is a fundamental result in statistics and probability, but unfortunately, at least by now, the result is not very well known in the st…
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…
Entry-Wise Eigenvector Analysis and Improved Rates for Topic Modeling on Short Documents
Zheng Tracy Ke, Jingming Wang
Topic modeling is a widely utilized tool in text analysis. We investigate the optimal rate for estimating a topic model. Specifically, we consider a scenario with documents, a…
Optimal Network Membership Estimation Under Severe Degree Heterogeneity
Zheng Tracy Ke, Jingming Wang
Real networks often have severe degree heterogeneity, with the maximum, average, and minimum node degrees differing significantly. This paper examines the impact of degree heteroge…
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…
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…