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stat.ML2026
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…
math.ST2026
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…
stat.ME2026
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…