126 citations · 555 across the 57 of their papers we have counts for
4 papers · 1 filter
Learning Sparse Graphons and the Generalized Kesten-Stigum Threshold
Emmanuel Abbe, Shuangping Li, Allan Sly
The problem of learning graphons has attracted considerable attention across several scientific communities, with significant progress over the recent years in sparser regimes. Yet…
An theory of PCA and spectral clustering
Emmanuel Abbe, Jianqing Fan, Kaizheng Wang
Principal Component Analysis (PCA) is a powerful tool in statistics and machine learning. While existing study of PCA focuses on the recovery of principal components and their asso…
Entrywise Eigenvector Analysis of Random Matrices with Low Expected Rank
Emmanuel Abbe, Jianqing Fan, Kaizheng Wang +1
Recovering low-rank structures via eigenvector perturbation analysis is a common problem in statistical machine learning, such as in factor analysis, community detection, ranking,…
Group Synchronization on Grids
Emmanuel Abbe, Laurent Massoulie, Andrea Montanari +2
Group synchronization requires to estimate unknown elements of a compact group associated to the vertices of a graph , using noisy observa…