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We propose a general framework for increasing local stability of Artificial Neural Nets (ANNs) using Robust Optimization (RO).
Neural networks: a systematic introduction
Raúl Rojas · 1996
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The mnist database of handwritten digits, 1998
Yann LeCun and Corinna Cortes · 1998
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Numerical optimization
Stephen J Wright and Jorge Nocedal · 1999
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Convex optimization
Stephen Boyd and Lieven Vandenberghe · 2004
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Introductory Lectures on Convex Optimization
Y. Nesterov · 2004
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Robust optimization
Aharon Ben-Tal, Laurent El Ghaoui, and Arkadi Nemirovski · 2009
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Cutting-set methods for robust convex optimization with pessimizing oracles
Almir Mutapcic and Stephen Boyd · 2009
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Robust regression and lasso
Huan Xu, Constantine Caramanis, and Shie Mannor · 2009
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Robustness and regularization of support vector machines
Huan Xu, Constantine Caramanis, and Shie Mannor · 2009
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Convolutional deep belief networks on cifar-10
Alex Krizhevsky and G Hinton · 2010
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Theory and applications of robust optimization
Dimitris Bertsimas, David B Brown, and Constantine Caramanis · 2011
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The manifold tangent classifier
Salah Rifai, Yann N Dauphin, Pascal Vincent, Yoshua Bengio, and Xavier Muller · 2011
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Contractive auto-encoders: Explicit invariance during feature extraction
Salah Rifai, Pascal Vincent, Xavier Muller, Xavier Glorot, and Yoshua Bengio · 2011
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Optimization for machine learning
Suvrit Sra, Sebastian Nowozin, and Stephen J Wright · 2012
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Representation learning: A review and new perspectives
Yoshua Bengio, Aaron Courville, and Pascal Vincent · 2013
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Towards deep neural network architectures robust to adversarial examples
Shixiang Gu and Luca Rigazio · 2014
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Deep neural networks are easily fooled: High confidence predictions for unrecognizable images
Anh Nguyen, Jason Yosinski, and Jeff Clune · 2014
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Deep roto-translation scattering for object classification
Edouard Oyallon and Stéphane Mallat · 2014
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Oracle-based robust optimization via online learning
Aharon Ben-Tal, Elad Hazan, Tomer Koren, and Shie Mannor · 2015
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Analysis of classifiers’ robustness to adversarial perturbations
Alhussein Fawzi, Omar Fawzi, and Pascal Frossard · 2015
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Christian Szegedy, Wojciech Zaremba, Ilya Sutskever, Joan Bruna, Dumitru Erhan, Ian Goodfellow, and Rob Fergus · 2013
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Dropout training as adaptive regularization
Stefan Wager, Sida Wang, and Percy S Liang · 2013
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Explaining and harnessing adversarial examples
Ian J Goodfellow, Jonathon Shlens, and Christian Szegedy · 2014
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