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We consider a data-driven robust hypothesis test where the optimal test will minimize the worst-case performance regarding distributions that are close to the empirical distributions with respect to the Wasserstein distance. This leads to a…

Statistics Theory · Mathematics 2021-06-01 Liyan Xie , Rui Gao , Yao Xie

Randomized smoothing has achieved great success for certified robustness against adversarial perturbations. Given any arbitrary classifier, randomized smoothing can guarantee the classifier's prediction over the perturbed input with…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Hanbin Hong , Yuan Hong

We consider learning in an adversarial environment, where an $\varepsilon$-fraction of samples from a distribution $P$ are arbitrarily modified (global corruptions) and the remaining perturbations have average magnitude bounded by $\rho$…

Machine Learning · Computer Science 2024-06-26 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

This paper targets the task with discrete and periodic class labels ($e.g.,$ pose/orientation estimation) in the context of deep learning. The commonly used cross-entropy or regression loss is not well matched to this problem as they ignore…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Xiaofeng Liu , Yang Zou , Tong Che , Peng Ding , Ping Jia , Jane You , Kumar B. V. K

Deep neural networks (DNNs) are known to be vulnerable to adversarial attacks that would trigger misclassification of DNNs but may be imperceptible to human perception. Adversarial defense has been an important way to improve the robustness…

Machine Learning · Computer Science 2023-02-22 Qicheng Wang , Shuhai Zhang , Jiezhang Cao , Jincheng Li , Mingkui Tan , Yang Xiang

Learning to predict multi-label outputs is challenging, but in many problems there is a natural metric on the outputs that can be used to improve predictions. In this paper we develop a loss function for multi-label learning, based on the…

Machine Learning · Computer Science 2015-12-31 Charlie Frogner , Chiyuan Zhang , Hossein Mobahi , Mauricio Araya-Polo , Tomaso Poggio

We propose iterative algorithms to solve adversarial problems in a variety of supervised learning settings of interest. Our algorithms, which can be interpreted as suitable ascent-descent dynamics in Wasserstein spaces, take the form of a…

Machine Learning · Computer Science 2023-01-11 Camilo Garcia Trillos , Nicolas Garcia Trillos

There exists a vast number of adversarial attacks and defences for machine learning algorithms of various types which makes assessing the robustness of algorithms a daunting task. To make matters worse, there is an intrinsic bias in these…

Machine Learning · Computer Science 2020-07-17 Shashank Kotyan , Danilo Vasconcellos Vargas

We show how to turn any classifier that classifies well under Gaussian noise into a new classifier that is certifiably robust to adversarial perturbations under the $\ell_2$ norm. This "randomized smoothing" technique has been proposed…

Machine Learning · Computer Science 2019-06-18 Jeremy M Cohen , Elan Rosenfeld , J. Zico Kolter

Adversarial robustness has proven to be a required property of machine learning algorithms. A key and often overlooked aspect of this problem is to try to make the adversarial noise magnitude as large as possible to enhance the benefits of…

Machine Learning · Statistics 2020-03-31 Amirreza Shaeiri , Rozhin Nobahari , Mohammad Hossein Rohban

Today's state-of-the-art image classifiers fail to correctly classify carefully manipulated adversarial images. In this work, we develop a new, localized adversarial attack that generates adversarial examples by imperceptibly altering the…

Machine Learning · Computer Science 2019-09-12 Eitan Rothberg , Tingting Chen , Luo Jie , Hao Ji

Image hashing is one of the fundamental problems that demand both efficient and effective solutions for various practical scenarios. Adversarial autoencoders are shown to be able to implicitly learn a robust, locality-preserving hash…

Information Retrieval · Computer Science 2020-05-27 Khoa D. Doan , Saurav Manchanda , Sarkhan Badirli , Chandan K. Reddy

Adversarial robustness corresponds to the susceptibility of deep neural networks to imperceptible perturbations made at test time. In the context of image tasks, many algorithms have been proposed to make neural networks robust to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Pranjal Awasthi , George Yu , Chun-Sung Ferng , Andrew Tomkins , Da-Cheng Juan

The evaluation of robustness against adversarial manipulation of neural networks-based classifiers is mainly tested with empirical attacks as methods for the exact computation, even when available, do not scale to large networks. We propose…

Machine Learning · Computer Science 2020-07-21 Francesco Croce , Matthias Hein

We propose a scalable robust learning algorithm combining kernel smoothing and robust optimization. Our method is motivated by the convex analysis perspective of distributionally robust optimization based on probability metrics, such as the…

Machine Learning · Computer Science 2022-02-22 Jia-Jie Zhu , Christina Kouridi , Yassine Nemmour , Bernhard Schölkopf

Over the last few years, the phenomenon of adversarial examples --- maliciously constructed inputs that fool trained machine learning models --- has captured the attention of the research community, especially when the adversary is…

Machine Learning · Computer Science 2019-01-31 Nic Ford , Justin Gilmer , Nicolas Carlini , Dogus Cubuk

Wasserstein-GANs have been introduced to address the deficiencies of generative adversarial networks (GANs) regarding the problems of vanishing gradients and mode collapse during the training, leading to improved convergence behaviour and…

Machine Learning · Computer Science 2019-12-17 Jan Müller , Reinhard Klein , Michael Weinmann

We consider adversarial training of deep neural networks through the lens of Bayesian learning, and present a principled framework for adversarial training of Bayesian Neural Networks (BNNs) with certifiable guarantees. We rely on…

Machine Learning · Computer Science 2021-02-24 Matthew Wicker , Luca Laurenti , Andrea Patane , Zhoutong Chen , Zheng Zhang , Marta Kwiatkowska

Reinforcement learning algorithms, though successful, tend to over-fit to training environments hampering their application to the real-world. This paper proposes $\text{W}\text{R}^{2}\text{L}$ -- a robust reinforcement learning algorithm…

Machine Learning · Computer Science 2019-09-18 Mohammed Amin Abdullah , Hang Ren , Haitham Bou Ammar , Vladimir Milenkovic , Rui Luo , Mingtian Zhang , Jun Wang

Generative adversarial networks (GANs) have received a tremendous amount of attention in the past few years, and have inspired applications addressing a wide range of problems. Despite its great potential, GANs are difficult to train.…

Machine Learning · Computer Science 2017-05-09 Zhimin Chen , Yuguang Tong