Author

Ze-Qin Lin

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Preprint Oct 2026

Staircase phase transitions for the largest eigenvalue of heavy-tailed sample correlation matrices

We establish staircase phase transitions for the largest eigenvalue of heavy-tailed sample correlation matrices formed from a $p_n \times n$ data matrix with i.i.d. real entries of mean zero and unit variance, allowing an infinite fourth moment. In the proportional regime $p_n / n \to \phi \in (0, \infty)$, the first-o...

Yan-Peng Li, Ze-Qin Lin, Yi-Ming Liu et al. · 0 citations

Preprint Sep 2026

Phase transition for the smallest eigenvalue of high-dimensional sample correlation matrices

We study the smallest nonzero eigenvalue of the sample correlation matrix $\mathbf{R}_n$ formed from a $p_n \times n$ data matrix with i.i.d. real entries $\xi$ of mean zero and unit variance, in the high-dimensional regime $p_n / n \to \phi \in (0, \infty) \setminus \{1\}$. In the tall regime $\phi>1$, we prove almost...

Ze-Qin Lin, Guamgming Pan, Hao-Zhu Zhao et al. · 1 citation

Preprint Aug 2026

Multi-kernel spectral clustering: Entrywise eigenvector perturbation bounds and exact recovery

It is shown that approximate $K$-means applied to the multi-kernel spectral embedding achieves exact recovery with high probability, which is more informative than conventional global eigenspace perturbation estimates.

Ze-Qin Lin, Guang-Ming Pan, Zhi-Xiang Zhang et al. · 0 citations