Papers › On Extensions of CLEVER: A Neural Network Robustness Evaluation Algorithm

On Extensions of CLEVER: A Neural Network Robustness Evaluation Algorithm

19 Oct 2018arXiv:1810.08640archive 2025-07-28

Tsui-Wei Weng, huan zhang, Pin-Yu Chen, Aurelie Lozano, Cho-Jui Hsieh, Luca Daniel

CLEVER (Cross-Lipschitz Extreme Value for nEtwork Robustness) is an Extreme Value Theory (EVT) based robustness score for large-scale deep neural networks (DNNs). In this paper, we propose two extensions on this robustness score. First, we provide a new formal robustness guarantee for classifier functions that are twice differentiable. We apply extreme value theory on the new formal robustness guarantee and the estimated robustness is called second-order CLEVER score. Second, we discuss how to handle gradient masking, a common defensive technique, using CLEVER with Backward Pass Differentiable Approximation (BPDA). With BPDA applied, CLEVER can evaluate the intrinsic robustness of neural networks of a broader class -- networks with non-differentiable input transformations. We demonstrate the effectiveness of CLEVER with BPDA in experiments on a 121-layer Densenet model trained on the ImageNet dataset.

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1x1 ConvolutionAverage PoolingBatch NormalizationConcatenated Skip ConnectionConvolutionDense BlockDense ConnectionsDropoutGlobal Average PoolingKaiming InitializationMax PoolingReLUSoftmax

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