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math.OC2022
Semidefinite Programming versus Burer-Monteiro Factorization for Matrix Sensing
Baturalp Yalcin, Ziye Ma, Javad Lavaei +1
Many fundamental low-rank optimization problems, such as matrix completion, phase synchronization/retrieval, power system state estimation, and robust PCA, can be formulated as the…
math.OC2022
A New Complexity Metric for Nonconvex Rank-one Generalized Matrix Completion
Haixiang Zhang, Baturalp Yalcin, Javad Lavaei +1
In this work, we develop a new complexity metric for an important class of low-rank matrix optimization problems in both symmetric and asymmetric cases, where the metric aims to qu…
math.OC2022★ 1 cited
Noisy Low-rank Matrix Optimization: Geometry of Local Minima and Convergence Rate
Ziye Ma, Somayeh Sojoudi
This paper is concerned with low-rank matrix optimization, which has found a wide range of applications in machine learning. This problem in the special case of matrix sensing has…