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arXiv 2012.11619quant-phcond-mat.dis-nncs.LG

Defence against adversarial attacks using classical and quantum-enhanced Boltzmann machines

GraphStax Research(GraphStax研究院);Rotman School of Management - University of Toronto(多伦多大学罗特曼管理学院);Creative Destruction Lab(创意破坏实验室);Vector Institute for Artificial Intelligence(矢量人工智能研究所);Perimeter Institute for Theoretical Physics(圆周理论物理研究所);Career Science Lab - BOSS Zhipin(BOSS直聘职业科学实验室);Department of Mathematical Analysis - Universidad Complutense de Madrid(马德里康普顿斯大学数学分析系)

Aidan Kehoe, Peter Wittek, Yanbo Xue, Alejandro Pozas-Kerstjens

英文摘要:

We provide a robust defence to adversarial attacks on discriminative algorithms. Neural networks are naturally vulnerable to small, tailored perturbations in the input data that lead to wrong predictions. On the contrary, generative models attempt to learn the distribution underlying a dataset, making them inherently more robust to small perturbations. We use Boltzmann machines for discrimination purposes as attack-resistant classifiers, and compare them against standard state-of-the-art adversarial defences. We find improvements ranging from 5% to 72% against attacks with Boltzmann machines on the MNIST dataset. We furthermore complement the training with quantum-enhanced sampling from the D-Wave 2000Q annealer, finding results comparable with classical techniques and with marginal improvements in some cases. These results underline the relevance of probabilistic methods in constructing neural networks and highlight a novel scenario of practical relevance where quantum computers, even with limited hardware capabilites, could provide advantages over classical computers. This work is dedicated to the memory of Peter Wittek.

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