Recover the spectrum of covariance matrix: a non-asymptotic iterative method

preprint2022arXivOpen access

Abstract

It is well known the sample covariance has a consistent bias in the spectrum, for example spectrum of Wishart matrix follows the Marchenko-Pastur law. We in this work introduce an iterative algorithm 'Concent' that actively eliminate this bias and recover the true spectrum for small and moderate dimensions.

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