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math.ST2022
A spectral least-squares-type method for heavy-tailed corrupted regression with unknown covariance \& heterogeneous noise
Roberto I. Oliveira, Zoraida F. Rico, Philip Thompson
We revisit heavy-tailed corrupted least-squares linear regression assuming to have a corrupted -sized label-feature sample of at most arbitrary outliers. We wish to estimat…
math.ST2022★ 2 cited
Improved covariance estimation: optimal robustness and sub-Gaussian guarantees under heavy tails
Roberto I. Oliveira, Zoraida F. Rico
We present an estimator of the covariance matrix of random -dimensional vector from an i.i.d. sample of size . Our sole assumption is that this vector satisfies a bounded…