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A Formalization of Robustness for Deep Neural Networks
Deep neural networks have been shown to lack robustness to small input
perturbations. The process of generating the perturbations that expose the lack
of robustness of neural networks is known as adversarial input generation. This
process depends on the goals and capabilities of the adversary, In this paper,
we propose a unifying formalization of the adversarial input generation process
from a formal methods perspective. We provide a definition of robustness that
is general enough to capture different formulations. The expressiveness of our
formalization is shown by modeling and comparing a variety of adversarial
attack techniques
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