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Ensemble_Adversarial_Attack

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Ensemble Adversarial Black-Box Attacks against Deep Learning Systems Trained by MNIST, USPS and GTSRB Datasets

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# Ensemble Adversarial Black-Box Attacks against Deep Learning Systems
## Main work and contributions
Deep learning models, e.g., state-of-the-art convolutional neural networks (CNNs), have been widely applied into security-sensitivity tasks, such as facial recognition, automated driving, etc. Then their vulnerability analysis is an emergent topic, especially for black-box attacks, where adversaries do not know the model internal architectures or training parameters.

This paper fully investigates the black-box attack strategies, which always train a substitute model to craft adversarial examples, and these adversarial examples can be transfered to disorder target models due to the transferability. However, conventional single-substitute attack strategies are easily defended by existed defense mechanism, e.g., ensemble adversarial training technology, and achieve unsatisfactory attack performance in black-box attack scenario.

In this paper, the authors attempt to ensemble multiple pre-trained substitute models to produce adversarial examples with more powerful transferability in the form of selective cascade ensemble and stack parallel ensemble. Moreover, potential factors that contribute to the high-efficiency attacks are presented from three perspectives: the transferability of substitutes, the diversity of substitutes and the number of substitutes. Two classical measurements, Success rate and Transfer rate are used to analyze the vulnerability of deep learning models in black-box attack scenario. Two common pairwise and non-pairwise diversity measures are adopted to explore the relationship between the diversity in substitutes ensembles and transferability of crafted adversarial examples. Experimental results demonstrate that proposed ensemble adversarial attack strategies can successfully attack the deep learning models trained with ensemble adversarial training defense mechanism. This paper also indicates the diversity and the number of substitutes k for ensembles are important factors to affect the transferability of generated adversarial examples..

In our paper, due to limited space , some experimental results are not presented, we show the entire experimental results as follows:

(1) The transferability of adversarial examples generated by each substitute model and cascading or paralleling any k substitutes (e.g. k=3,5) are illustrated in Fig.1.

Fig.1. Transfer rate of adversarial examples crafted by SCES and SPES under different perturbation magnitude α on (left)USPS, (center)MNIST and (right)GTSRB.

(2) Fig. 2, 3, 4. demonstrates that our proposed ensemble-based black-box attack strategies are still aggressive to target classifier trained with adversarial training and ensemble adversarial training defense mechanism.

Fig.2. Defense performance of black-box model trained with (left)adversarial training and (right)ensemble adversarial training against different attacks on USPS.

Fig.3. Defense performance of black-box model trained with (left)adversarial training and (right)ensemble adversarial training against different attacks on MNIST.

Fig.4. Defense performance of black-box model trained with (left)adversarial training and (right)ensemble adversarial training against different attacks on GTSRB.

Transfer rate of adversarial examples crafted by SCES and SPES with k=1, 3 and 5 under different perturbation magnitude α in FGSM are shown in Fig.5., Fig.6. and Fig.7.

Fig.5. Transfer rate of adversarial examples crafted by (left)SCES and (right)SPES with k=1, 3 and 5 under different perturbation magnitude α on USPS.

Fig.6. Transfer rate of adversarial examples crafted by (left)SCES and (right)SPES with k=1, 3 and 5 under different perturbation magnitude α on MNIST.

Fig. 7. Transfer rate of adversarial examples crafted by (left)SCES and (right)SPES with k=1, 3 and 5 under different perturbation magnitude α on GTSRB. 
                                                     
## Part work
Our part work has been appeared in "Delving into Diversity in Substitute Ensembles and Transferability of Adversarial Examples", which can be downloaded by: https://link.springer.com/chapter/10.1007/978-3-030-04182-3_16

## Acknowledgement
Participants:: LI-DATA Lab; Professor Yun Li, Ph.D, KeJi Han, Ph.D Candidate; Hui Chen, Master;

Referencing to the following projects:
- [cleverhans](https://github.com/tensorflow/cleverhans)

- [tensorflow](https://github.com/tensorflow/tensorflow)

- [ensemble adversarial training](https://github.com/ftramer/ensemble-adv-training)

- [Carlini & Wagner Attack](https://github.com/carlini/nn_robust_attacks)

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