Tracy-widom law for the extreme eigenvalues of large signal-plus-noise matrices

Let S = R + X be an M × N matrix where R is the signal matrix and X is the noise matrix consisting of i.i.d. standardized entries. The signal matrix R is allowed to be full rank, which is rarely studied in literature compared with the low rank cases. Under a regularity condition of R that assures th...

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Bibliographic Details
Main Authors: Zhang, Zhixiang, Liu, Yiming, Pan, Guangming
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2024
Subjects:
Online Access:https://hdl.handle.net/10356/173676
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Institution: Nanyang Technological University
Language: English