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Benign Overfitting in Adversarially Robust Linear Classification. (arXiv:2112.15250v1 [cs.LG])
Jan. 3, 2022, 2:10 a.m. | Jinghui Chen, Yuan Cao, Quanquan Gu
cs.LG updates on arXiv.org arxiv.org
"Benign overfitting", where classifiers memorize noisy training data yet
still achieve a good generalization performance, has drawn great attention in
the machine learning community. To explain this surprising phenomenon, a series
of works have provided theoretical justification in over-parameterized linear
regression, classification, and kernel methods. However, it is not clear if
benign overfitting still occurs in the presence of adversarial examples, i.e.,
examples with tiny and intentional perturbations to fool the classifiers. In
this paper, we show that benign overfitting …
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