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20172021
most citedOptimal Clustering in Anisotropic Gaussian Mixture Models

5 citations · 10 across the 3 of their papers we have counts for

collaborators

6 papers

math.ST20212 cited

Optimal Full Ranking from Pairwise Comparisons

Pinhan Chen, Chao Gao, Anderson Y. Zhang

We consider the problem of ranking players from partial pairwise comparison data under the Bradley-Terry-Luce model. For the first time in the literature, the minimax rate of t…

math.ST20215 cited

Optimal Clustering in Anisotropic Gaussian Mixture Models

Xin Chen, Anderson Y. Zhang

We study the clustering task under anisotropic Gaussian Mixture Models where the covariance matrices from different clusters are unknown and are not necessarily the identical matri…

math.ST2020

Exact Minimax Estimation for Phase Synchronization

Chao Gao, Anderson Y. Zhang

We study the phase synchronization problem with measurements , where is an -dimensional complex unit-modulus vector and is a c…

math.ST2019

Iterative Algorithm for Discrete Structure Recovery

Chao Gao, Anderson Y. Zhang

We propose a general modeling and algorithmic framework for discrete structure recovery that can be applied to a wide range of problems. Under this framework, we are able to study…

math.ST2019

Optimality of Spectral Clustering in the Gaussian Mixture Model

Matthias Löffler, Anderson Y. Zhang, Harrison H. Zhou

Spectral clustering is one of the most popular algorithms to group high dimensional data. It is easy to implement and computationally efficient. Despite its popularity and successf…

math.ST20173 cited

Theoretical and Computational Guarantees of Mean Field Variational Inference for Community Detection

Anderson Y. Zhang, Harrison H. Zhou

The mean field variational Bayes method is becoming increasingly popular in statistics and machine learning. Its iterative Coordinate Ascent Variational Inference algorithm has bee…