Outlier Robust Mean Estimation with Subgaussian Rates via Stability

30 Jul 2020Ilias DiakonikolasDaniel M. KaneAnkit Pensia

We study the problem of outlier robust high-dimensional mean estimation under a finite covariance assumption, and more broadly under finite low-degree moment assumptions. We consider a standard stability condition from the recent robust statistics literature and prove that, except with exponentially small failure probability, there exists a large fraction of the inliers satisfying this condition... (read more)

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