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math.PR2019★ 21 cited
Spectral Graph Matching and Regularized Quadratic Relaxations II: Erdős-Rényi Graphs and Universality
Zhou Fan, Cheng Mao, Yihong Wu +1
We analyze a new spectral graph matching algorithm, GRAph Matching by Pairwise eigen-Alignments (GRAMPA), for recovering the latent vertex correspondence between two unlabeled, edg…
math.PR2019
Principal components in linear mixed models with general bulk
Zhou Fan, Yi Sun, Zhichao Wang
We study the principal components of covariance estimators in multivariate mixed-effects linear models. We show that, in high dimensions, the principal eigenvalues and eigenvectors…
math.PR2018
TAP free energy, spin glasses, and variational inference
Zhou Fan, Song Mei, Andrea Montanari
We consider the Sherrington-Kirkpatrick model of spin glasses with ferromagnetically biased couplings. For a specific choice of the couplings mean, the resulting Gibbs measure is e…