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- W4300185859 abstract "A classical approach to accurately estimating the covariance matrix Sigma of a p-variate normal distribution is to draw a sample of size n > p and form a sample covariance matrix. However, many modern applications operate with much smaller sample sizes, thus calling for estimation guarantees in the regime n << p. We show that a sample of size n = O(m log^6 p) is sufficient to accurately estimate in operator norm an arbitrary symmetric part of Sigma consisting of m < n entries per row. This follows from a general result on estimating Hadamard products M.Sigma, where M is an arbitrary symmetric matrix." @default.
- W4300185859 created "2022-10-03" @default.
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- W4300185859 date "2010-08-10" @default.
- W4300185859 modified "2023-10-15" @default.
- W4300185859 title "Partial estimation of covariance matrices" @default.
- W4300185859 doi "https://doi.org/10.48550/arxiv.1008.1716" @default.
- W4300185859 hasPublicationYear "2010" @default.
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