Phase Transition in Distributions of Coherence of Large Random Matrices

来源 :The Third IMS-China International Conference on Statistics a | 被引量 : 0次 | 上传用户:gzlongzhijian
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  The coherence of a random matrix, which is defined to be the largest magnitude of the Pearson corrclation coefficients between the columns of the random matrix, is an important quantity for a wide range of applications iucluding high-dimensional statistics and signal processing.Inspired by these applications, this paper studies the limiting laws of the coherence of nxp random matrices for a full range of the dimension p with a special focus on the ultra high-dimensional setting.
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