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arXiv 2007.13073cs.LGcs.AIcs.CR
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抗结构攻击的鲁棒集体分类算法

Robust Collective Classification against Structural Attacks

Washington University in St. Louis(圣路易斯华盛顿大学)

Kai Zhou, Yevgeniy Vorobeychik

摘要:

集体学习方法利用数据点之间的关系来提高分类性能。然而,这种关系,在底层图形模型中表示为边,暴露了一个额外的攻击面的对手。我们研究了一类重要的这种图形模型,关联马尔可夫网络(AMN),结构攻击,攻击者可以在测试时修改图结构的对抗鲁棒性。我们制定的任务学习一个强大的AMN分类器作为一个双层程序,其中内部的问题是一个具有挑战性的非线性整数规划,计算最佳的结构变化的AMN。为了解决这一技术挑战,我们首先放松攻击者问题,然后使用对偶来获得鲁棒AMN问题的凸二次上界。然后,我们证明了所得到的近似最优解的质量上的约束,并通过实验证明了我们的方法的有效性。最后,我们将我们的方法应用于转导学习环境中,并表明鲁棒AMN比最先进的深度学习方法更鲁棒,同时在非对抗性数据上牺牲的准确性很小。

英文摘要:

Collective learning methods exploit relations among data points to enhance classification performance. However, such relations, represented as edges in the underlying graphical model, expose an extra attack surface to the adversaries. We study adversarial robustness of an important class of such graphical models, Associative Markov Networks (AMN), to structural attacks, where an attacker can modify the graph structure at test time. We formulate the task of learning a robust AMN classifier as a bi-level program, where the inner problem is a challenging non-linear integer program that computes optimal structural changes to the AMN. To address this technical challenge, we first relax the attacker problem, and then use duality to obtain a convex quadratic upper bound for the robust AMN problem. We then prove a bound on the quality of the resulting approximately optimal solutions, and experimentally demonstrate the efficacy of our approach. Finally, we apply our approach in a transductive learning setting, and show that robust AMN is much more robust than state-of-the-art deep learning methods, while sacrificing little in accuracy on non-adversarial data.

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