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Most ReLU Networks Suffer from $\ell^2$ Adversarial Perturbations
Amit Daniely · Hadas Shacham
Thu Dec 10 08:10 AM  08:20 AM (PST) @ Orals & Spotlights: Graph/Relational/Theory
We consider ReLU networks with random weights, in which the dimension decreases at each layer.
We show that for most such networks, most examples $x$ admit an adversarial perturbation at an Euclidean distance of $O\left(\frac{\x\}{\sqrt{d}}\right)$, where $d$ is the input dimension. Moreover, this perturbation can be found via gradient flow, as well as gradient descent with sufficiently small steps.
This result can be seen as an explanation to the abundance of adversarial examples, and to the fact that they are found via gradient descent.
Author Information
Amit Daniely (Hebrew University and Google Research)
Hadas Shacham (Hebrew University)
Related Events (a corresponding poster, oral, or spotlight)

2020 Poster: Most ReLU Networks Suffer from $\ell^2$ Adversarial Perturbations »
Thu Dec 10th 05:00  07:00 PM Room Poster Session 5
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