English

Recovery of spectrum from estimated covariance matrices and statistical kernels for machine learning and big data

Probability 2018-04-26 v1 Statistics Theory Statistics Theory

Abstract

In this paper we propose two schemes for the recovery of the spectrum of a covariance matrix from the empirical covariance matrix, in the case where the dimension of the matrix is a subunitary multiple of the number of observations. We test, compare and analyze these on simulated data and also on some data coming from the stock market.

Keywords

Cite

@article{arxiv.1804.09472,
  title  = {Recovery of spectrum from estimated covariance matrices and statistical kernels for machine learning and big data},
  author = {Saba Amsalu and Juntao Duan and Heinrich Matzinger and Ionel Popescu},
  journal= {arXiv preprint arXiv:1804.09472},
  year   = {2018}
}