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Adversarial robustness has become a fundamental requirement in modern machine learning applications.
Theoretically principled trade-off between robustness and accuracy
Zhang, H., Yu, Y., Jiao, J., Xing, E. P., Ghaoui, L. E., and Jordan, M. I. (2019) · 1901
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Vc classes are adversarially robustly learnable, but only improperly
Montasser, O., Hanneke, S., and Srebro, N. (2019) · 1902
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Are labels required for improving adversarial robustness?
Stanforth, R., Fawzi, A., Kohli, P., et al. (2019) · 1905
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Adversarially robust generalization just requires more unlabeled data
Zhai, R., Cai, T., He, D., Dan, C., He, K., Hopcroft, J., and Wang, L. (2019) · 1906
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Minkowski geometry
Thompson, A. C. and Thompson, A. C. (1996) · 1996
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Asymptotic statistics
Van der Vaart, A. W. (2000) · 2000
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Precise tradeoffs in adversarial training for linear regression
Javanmard, A., Soltanolkotabi, M., and Hassani, H. (2020) · 2002
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Applied multivariate statistical analysis
Johnson, R. A., Wichern, D. W., et al. (2002) · 2002
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Understanding and mitigating the tradeoff between robustness and accuracy
Raghunathan, A., Xie, S. M., Yang, F., Duchi, J., and Liang, P. (2020) · 2002
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Adversarial learning guarantees for linear hypotheses and neural networks
Awasthi, P., Frank, N., and Mohri, M. (2020) · 2004
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Finite mixture models
McLachlan, G. J. and Peel, D. (2004) · 2004
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Robust fisher discriminant analysis
Kim, S.-J., Magnani, A., and Boyd, S. (2006) · 2006
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Imagenet classification with deep convolutional neural networks
Krizhevsky, A., Sutskever, I., and Hinton, G. E. (2012) · 2012
Cited alongside, same era.
Robustness and generalization
Xu, H. and Mannor, S. (2012) · 2012
Cited alongside, same era.
Minimax theory for high-dimensional gaussian mixtures with sparse mean separation
Azizyan, M., Singh, A., and Wasserman, L. (2013) · 2013
Cited alongside, same era.
Intriguing properties of neural networks
Szegedy, C., Zaremba, W., Sutskever, I., Bruna, J., Erhan, D., Goodfellow, I., and Fergus, R. (2013) · 2013
Cited alongside, same era.
Neural machine translation by jointly learning to align and translate
Bahdanau, D., Cho, K., and Bengio, Y. (2014) · 2014
Cited alongside, same era.
Pac-learning in the presence of adversaries
Cullina, D., Bhagoji, A. N., and Mittal, P. (2018) · 2018
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Adversarial risk bounds for binary classification via function transformation
Khim, J. and Loh, P.-L. (2018) · 2018
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Adversarially robust generalization requires more data
Schmidt, L., Santurkar, S., Tsipras, D., Talwar, K., and Madry, A. (2018) · 2018
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Suggala, A. S., Prasad, A., Nagarajan, V., and Ravikumar, P. (2018) · 2018
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Robustness may be at odds with accuracy
Tsipras, D., Santurkar, S., Engstrom, L., Turner, A., and Madry, A. (2018) · 2018
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Goodfellow, I. J., Shlens, J., and Szegedy, C. (2014) · 2014
Cited alongside, same era.
Fast classification rates for high-dimensional gaussian generative models
Li, T., Prasad, A., and Ravikumar, P. K. (2015) · 2015
Cited alongside, same era.
The limitations of deep learning in adversarial settings
Papernot, N., McDaniel, P., Jha, S., Fredrikson, M., Celik, Z. B., and Swami, A. (2016) · 2016
Cited alongside, same era.
Mastering the game of go with deep neural networks and tree search
Silver, D., Huang, A., Maddison, C. J., Guez, A., Sifre, L., Van Den Driessche, G., Schrittwieser, J., Antonoglou, I., Panneershelvam, V., Lanctot, M., et al. (2016) · 2016
Cited alongside, same era.
Minimax gaussian classification & clustering
Li, T., Yi, X., Carmanis, C., and Ravikumar, P. (2017) · 2017
Cited alongside, same era.
Analyzing the robustness of nearest neighbors to adversarial examples
Wang, Y., Jha, S., and Chaudhuri, K. (2017) · 2017
Cited alongside, same era.
Improved generalization bounds for robust learning
Attias, I., Kontorovich, A., and Mansour, Y. (2018) · 2018
Cited alongside, same era.
Towards fast computation of certified robustness for relu networks
Weng, T.-W., Zhang, H., Chen, H., Song, Z., Hsieh, C.-J., Boning, D., Dhillon, I. S., and Daniel, L. (2018) · 2018
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Rademacher complexity for adversarially robust generalization
Yin, D., Ramchandran, K., and Bartlett, P. (2018) · 2018
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On robustness to adversarial examples and polynomial optimization
Awasthi, P., Dutta, A., and Vijayaraghavan, A. (2019) · 2019
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Lower bounds on adversarial robustness from optimal transport
Bhagoji, A. N., Cullina, D., and Mittal, P. (2019) · 2019
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High dimensional linear discriminant analysis: optimality, adaptive algorithm and missing data
Cai, T. and Zhang, L. (2019) · 2019
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Unlabeled data improves adversarial robustness
Carmon, Y., Raghunathan, A., Schmidt, L., Duchi, J. C., and Liang, P. S. (2019) · 2019
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High-dimensional statistics: A non-asymptotic viewpoint
Wainwright, M. J. (2019) · 2019
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