Adversarially robust estimators transfer to heavy-tailed estimation for free, but heavy-tailed estimators do not transfer back to adversarial contamination.
IEEE 57th Annual Symposium on Foundations of Computer Science, FOCS 2016, 9-11 October 2016, Hyatt Regency, New Brunswick, New Jersey, USA
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Heavy-tailed Contamination is Easier than Adversarial Contamination
Adversarially robust estimators transfer to heavy-tailed estimation for free, but heavy-tailed estimators do not transfer back to adversarial contamination.