323 citations · 1k across the 34 of their papers we have counts for
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Geometry of Factored Nuclear Norm Regularization
Qiuwei Li, Zhihui Zhu, Gongguo Tang
This work investigates the geometry of a nonconvex reformulation of minimizing a general convex loss function regularized by the matrix nuclear norm . Nuclear-norm…
The Global Optimization Geometry of Low-Rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers general rank-constrained optimization problems that minimize a general objective function over the set of rectangular matrices that have ran…
Atomic Norm Minimization for Modal Analysis from Random and Compressed Samples
Shuang Li, Dehui Yang, Gongguo Tang +1
Modal analysis is the process of estimating a system's modal parameters such as its natural frequencies and mode shapes. One application of modal analysis is in structural health m…
Global Optimality in Low-rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers the minimization of a general objective function over the set of rectangular matrices that have rank at most . To reduce the computationa…