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Research map / Adversarial robustness and security / Certified and empirical robustness

Towards Understanding the Dynamics of the First-Order Adversaries

ICML 2020 · Adversarial robustness and security › Certified and empirical robustness · approach: Provable robust learning guarantees · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use projected gradient ascent for the inner adversary optimization with a sufficiently small learning rateTwo-layer neural networks with quadratic loss and small perturbation radius · Initial phase of adversarial trainingiterations to reach an approximate local optimum: O(η^{-2})Helped
Use a smaller input scale, with the perturbation ratio fixedAdversarial training · Initial phaseconvergence speedHelped
Use a smaller input scale, which reduces the perturbation radius at a fixed ratioAdversarial loss landscape · Initial phaselandscape regularityHelped
Use a larger input scale at a fixed perturbation ratioAdversarial training · Initial phaseease of escaping local maximaHurt

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