4 papers
Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery
Zeqin Lin, Guangming Pan, Zhixiang Zhang +1
Kernel spectral clustering with a single bandwidth can be inadequate for data exhibiting multiple characteristic pairwise-distance scales, a problem particularly prevalent in the h…
Phase Transition of Spectral Fluctuations in Large Gram Matrices with a Variance Profile: A Unified Framework for Sparse CLTs
Rui Wang, Guangming Pan, Dandan Jiang
We study the asymptotic spectral behavior of high-dimensional random Gram matrices with sparsity and a variance profile, motivated by applications in wireless communications. Speci…
High-Dimensional Precision Matrix Quadratic Forms: Estimation Framework for
Shizhe Hong, Weiming Li, Guangming Pan
We propose a novel estimation framework for quadratic functionals of precision matrices in high-dimensional settings, particularly in regimes where the feature dimension exceed…
Simultaneous Detection and Localization of Mean and Covariance Changes in High Dimensions
Junfeng Cui, Guangming Pan, Guanghui Wang +1
Existing methods for high-dimensional changepoint detection and localization typically focus on changes in either the mean vector or the covariance matrix separately. This separati…