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math.PR2020★ 2 cited
Overlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations
Jess Banks, Jorge Garza Vargas, Archit Kulkarni +1
Let be an matrix with real i.i.d. entries, let be a real matrix with , and let . We show that with p…
math.PR2016★ 44 cited
Information-theoretic thresholds for community detection in sparse networks
Jess Banks, Cristopher Moore, Joe Neeman +1
We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, consider the symmetric stochastic block m…