Terence Cheng

Spectral Properties and Localization Barriers of Co-occurrence Gram Matrices in Set Families

In this paper, we establish the spectral framework governing $G = V^T V$ for arbitrary $0\text{-}1$ matrices. Combining Rayleigh-Ritz variational bounds with Gershgorin disk localization, we prove a general spectral inequality relating element frequencies to local average set siz...

Spectral Properties and Localization Barriers of Co-occurrence Gram Matrices in Set Families

In this paper, we establish the spectral framework governing $G = V^T V$ for arbitrary $0\text{-}1$ matrices. Combining Rayleigh-Ritz variational bounds with Gershgorin disk localization, we prove a general spectral inequality relating element frequencies to local average set siz...