378 citations · 1.8k across the 48 of their papers we have counts for
4 papers · 1 filter
Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically Perturbed Low-Rank Matrices
Yuxin Chen, Chen Cheng, Jianqing Fan
This paper is concerned with the interplay between statistical asymmetry and spectral methods. Suppose we are interested in estimating a rank-1 and symmetric matrix $\mathbf{M}^{\s…
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview
Yuejie Chi, Yue M. Lu, Yuxin Chen
Substantial progress has been made recently on developing provably accurate and efficient algorithms for low-rank matrix factorization via nonconvex optimization. While conventiona…
Gradient Descent with Random Initialization: Fast Global Convergence for Nonconvex Phase Retrieval
Yuxin Chen, Yuejie Chi, Jianqing Fan +1
This paper considers the problem of solving systems of quadratic equations, namely, recovering an object of interest from quadratic equ…
Nonconvex Matrix Factorization from Rank-One Measurements
Yuanxin Li, Cong Ma, Yuxin Chen +1
We consider the problem of recovering low-rank matrices from random rank-one measurements, which spans numerous applications including covariance sketching, phase retrieval, quantu…