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Improving Certified Robustness via Statistical Learning with Logical Reasoning. (arXiv:2003.00120v5 [cs.LG] UPDATED)
Sept. 12, 2022, 1:20 a.m. | Zhuolin Yang, Zhikuan Zhao, Boxin Wang, Jiawei Zhang, Linyi Li, Hengzhi Pei, Bojan Karlas, Ji Liu, Heng Guo, Ce Zhang, Bo Li
cs.CR updates on arXiv.org arxiv.org
Intensive algorithmic efforts have been made to enable the rapid improvements
of certificated robustness for complex ML models recently. However, current
robustness certification methods are only able to certify under a limited
perturbation radius. Given that existing pure data-driven statistical
approaches have reached a bottleneck, in this paper, we propose to integrate
statistical ML models with knowledge (expressed as logical rules) as a
reasoning component using Markov logic networks (MLN, so as to further improve
the overall certified robustness. This …
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