44 citations · 165 across the 21 of their papers we have counts for
5 papers · 1 filter
Phase transitions and optimal algorithms in high-dimensional Gaussian mixture clustering
Thibault Lesieur, Caterina De Bacco, Jess Banks +3
We consider the problem of Gaussian mixture clustering in the high-dimensional limit where the data consists of points in dimensions, and …
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…
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…
The quasi-isomorphism class of the Kakimizu complex
Jessica E. Banks
It has been shown that the Kakimizu complex of a knot is quasi-isomorphic to for some . We give a lower bound on , matching the upper bound previously g…
Information-theoretic thresholds for community detection in sparse networks
Jess Banks, Cristopher Moore
We give upper and lower bounds on the information-theoretic threshold for community detection in the stochastic block model. Specifically, let be the number of groups, be t…