most citedInformation-theoretic bounds and phase transitions in clustering, sparse PCA, and submatrix localization

11 citations · 11 across the 2 of their papers we have counts for

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2 papers

math.SP2023

A Useful Formula for Periodic Jacobi Matrices on Trees

Jess Banks, Jonathan Breuer, Jorge Garza Vargas +2

We introduce a function of the density of states for periodic Jacobi matrices on trees and prove a useful formula for it. This allows new, streamlined proofs of the gap labeling an…

math.ST2016★ 11 cited

Information-theoretic bounds and phase transitions in clustering, sparse PCA, and submatrix localization

Jess Banks, Cristopher Moore, Nicolas Verzelen +2

We study the problem of detecting a structured, low-rank signal matrix corrupted with additive Gaussian noise. This includes clustering in a Gaussian mixture model, sparse PCA, and…