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Adaptive Test-Time Defense with the Manifold Hypothesis. (arXiv:2210.14404v3 [cs.LG] UPDATED)
Nov. 18, 2022, 2:20 a.m. | Zhaoyuan Yang, Zhiwei Xu, Jing Zhang, Richard Hartley, Peter Tu
cs.CR updates on arXiv.org arxiv.org
In this work, we formulate a novel framework of adversarial robustness using
the manifold hypothesis. Our framework provides sufficient conditions for
defending against adversarial examples. We develop a test-time defense method
with variational inference and our formulation. The developed approach combines
manifold learning with variational inference to provide adversarial robustness
without the need for adversarial training. We show that our approach can
provide adversarial robustness even if attackers are aware of the existence of
test-time defense. In addition, our approach …
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