1 |
P. L. Bartlett, D. J. Foster, and M. J. Telgarsky, Spectrally-normalized margin bounds for neural networks, In Advances in Neural Information Processing Systems 30, pages 6240-6249, 2017.
|
2 |
Y. Jiang, D. Krishnan, H. Mobahi, and S. Bengio, Predicting the generalization gap in deep networks with margin distributions, arXiv preprint arXiv:1810.00113, 2018.
|
3 |
L. Shen-Huan, W. Lu, and Z. Zhi-Hua, Optimal margin distribution network, CoRR, abs/1812.10761, 2018.
|
4 |
C. Szegedy, W. Zaremba, I. Sutskever, J. Bruna, D. Erhan, I. Goodfellow, and R. Fergus, Intriguing properties of neural networks, arXiv preprint arXiv:1312.6199, 2013.
|
5 |
D. Yin, K. Ramchandran, and P. Bartlett, Rademacher complexity for adversarially robust generalization, International Conference on Machine Learning, 2019.
|
6 |
C. Zhang, S. Bengio, M. Hardt, B. Recht, and O. Vinyals, Understanding deep learning requires rethinking generalization, arXiv preprint arXiv:1611.03530, 2016.
|
7 |
B. Neyshabur, S. Bhojanapalli, and N. Srebro, A pac-bayesian approach to spectrally-normalized margin bounds for neural networks, International Conference on Learning Representations, 2018.
|
8 |
S. Arora, R. Ge, B. Neyshabur, and Y. Zhang, Stronger generalization bounds for deep nets via a compression approach, arXiv preprint arXiv:1802.05296, 2018.
|
9 |
G. Elsayed, D. Krishnan, H. Mobahi, K. Regan, and S. Bengio, Large margin deep networks for classification, In Advances in neural information processing systems, pages 842-852, 2018.
|
10 |
D. Haussler, Probably approximately correct learning, University of California, Santa Cruz, Computer Research Laboratory, 1990.
|
11 |
D. A. McAllester, PAC-Bayesian model averaging, in Proceedings of the Twelfth Annual Conference on Computational Learning Theory (Santa Cruz, CA, 1999), 164-170, ACM, New York, 1999. https://doi.org/10.1145/307400.307435
DOI
|
12 |
J. Langford and J. Shawe-Taylor, Pac-bayes & margins, In Advances in neural information processing systems, pages 439-446, 2003.
|
13 |
J. A. Tropp, User-friendly tail bounds for sums of random matrices, Found. Comput. Math. 12 (2012), no. 4, 389-434. https://doi.org/10.1007/s10208-011-9099-z
DOI
|
14 |
D. A. McAllester, Pac-bayesian stochastic model selection, Machine Learning 51 (2003), no. 1, 5-21.
DOI
|
15 |
D. McAllester, Simplified pac-bayesian margin bounds, In Learning theory and Kernel machines, pages 203-215. Springer, 2003.
|
16 |
L. Schmidt, S. Santurkar, D. Tsipras, K. Talwar, and A. Madry, Adversarially robust generalization requires more data, In Advances in Neural Information Processing Systems, pages 5014-5026, 2018.
|