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Hai-Xiao Wang

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Preprint Sep 2026

Concentration of Regularized Sparse Random Matrices: Spectral Edge Bounds via Nonbacktracking Operators

In sparse random matrices, spectral outliers (eigenvalues and singular values located away from the bulk) emerge due to degree fluctuations: high degrees inflate the operator norm, while low column degrees reduce the least singular value. As proved by Feige and Ofek (2005) and Le, Levina, and Vershynin (2017), degree r...

Hai-Xiao Wang · 0 citations

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