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cs.IT2024
Low-Rank Toeplitz Matrix Restoration: Descent Cone Analysis and Structured Random Matrix
Gao Huang, Song Li
This note demonstrates that we can stably recover all symmetric Toeplitz matrices of rank at most from a number of rank-one subgaussian mea…
cs.IT2024
Geometric Characteristics and Stable Guarantees for Phaseless Operators and Structured Matrix Restoration
Gao Huang, Song Li
In this paper, we first propose a unified framework for analyzing the stability of the phaseless operators for both amplitude and intensity measurement on an arbitrary geometric se…
math.OC2024
Nonconvex Deterministic Matrix Completion by Projected Gradient Descent Methods
Hang Xu, Song Li, Junhong Lin
We study deterministic matrix completion problem, i.e., recovering a low-rank matrix from a few observed entries where the sampling set is chosen as the edge set of a Ramanujan gra…