Adversarial robustness of stabilized neural ode might be from obfuscated gradients

Y Huang, Y Yu, H Zhang, Y Ma… - … and Scientific Machine …, 2022 - proceedings.mlr.press
In this paper we introduce a provably stable architecture for Neural Ordinary Differential
Equations (ODEs) which achieves non-trivial adversarial robustness under white-box
adversarial attacks even when the network is trained naturally. For most existing defense
methods withstanding strong white-box attacks, to improve robustness of neural networks,
they need to be trained adversarially, hence have to strike a trade-off between natural
accuracy and adversarial robustness. Inspired by dynamical system theory, we design a …

[PDF][PDF] Adversarial robustness of stabilized neural ode might be from obfuscated gradients

Y Huang, Y Yu, H Zhang, Y Ma… - Proceedings of Machine …, 2021 - msml21.github.io
In this paper we introduce a provably stable architecture for Neural Ordinary Differential
Equations (ODEs) which achieves non-trivial adversarial robustness under white-box
adversarial attacks even when the network is trained naturally. For most existing defense
methods withstanding strong white-box attacks, to improve robustness of neural networks,
they need to be trained adversarially, hence have to strike a trade-off between natural
accuracy and adversarial robustness. Inspired by dynamical system theory, we design a …
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