2022
DOI: 10.48550/arxiv.2202.05420
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A Characterization of Semi-Supervised Adversarially-Robust PAC Learnability

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“…They moreover draw a more nuanced picture of proper robust learnability with access to unlabelled random examples. Attias et al (2022) also study the sample complexity of robust learning in the semi-supervised framework. Notably, in the realizable setting, their labelled sample complexity bounds are linear in a variant of the VC dimension where, for a shattered set, the perturbation region around a given point must share the same label.…”
Section: Existence Of Adversarial Examplesmentioning
confidence: 99%
“…They moreover draw a more nuanced picture of proper robust learnability with access to unlabelled random examples. Attias et al (2022) also study the sample complexity of robust learning in the semi-supervised framework. Notably, in the realizable setting, their labelled sample complexity bounds are linear in a variant of the VC dimension where, for a shattered set, the perturbation region around a given point must share the same label.…”
Section: Existence Of Adversarial Examplesmentioning
confidence: 99%