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In many real-world applications of Machine Learning it is of paramount importance not only to provide accurate predictions, but also to ensure certain levels of robustness. Adversarial Training is a training procedure aiming at providing…

Machine Learning · Computer Science 2019-10-09 Matteo Terzi , Gian Antonio Susto , Pratik Chaudhari

Adversarial examples have shown a powerful ability to make a well-trained model misclassified. Current mainstream adversarial attack methods only consider one of the distortions among $L_0$-norm, $L_2$-norm, and $L_\infty$-norm. $L_0$-norm…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Chao Zhou , Yuan-Gen Wang , Zi-jia Wang , Xiangui Kang

We introduce a new method for training generative adversarial networks by applying the Wasserstein-2 metric proximal on the generators. The approach is based on Wasserstein information geometry. It defines a parametrization invariant…

Machine Learning · Computer Science 2021-02-16 Alex Tong Lin , Wuchen Li , Stanley Osher , Guido Montufar

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

It is well-known that deep neural networks (DNNs) are susceptible to adversarial attacks, exposing a severe fragility of deep learning systems. As the result, adversarial training (AT) method, by incorporating adversarial examples during…

Machine Learning · Computer Science 2022-03-01 Tuan Anh Bui , Trung Le , Quan Tran , He Zhao , Dinh Phung

Wasserstein distributionally robust optimization (WDRO) optimizes against worst-case distributional shifts within a specified uncertainty set, leading to enhanced generalization on unseen adversarial examples, compared to standard…

Machine Learning · Computer Science 2025-03-07 Shuang Liu , Yihan Wang , Yifan Zhu , Yibo Miao , Xiao-Shan Gao

Wasserstein distances define a metric between probability measures on arbitrary metric spaces, including meta-measures (measures over measures). The resulting Wasserstein over Wasserstein (WoW) distance is a powerful, but computationally…

Machine Learning · Computer Science 2026-02-20 Moritz Piening , Robert Beinert

Deep neural networks have been known to be vulnerable to adversarial examples, which are inputs that are modified slightly to fool the network into making incorrect predictions. This has led to a significant amount of research on evaluating…

Machine Learning · Computer Science 2024-12-10 Alireza Abdollahpoorrostam , Mahed Abroshan , Seyed-Mohsen Moosavi-Dezfooli

We use adversarial network architectures together with the Wasserstein distance to generate or refine simulated detector data. The data reflect two-dimensional projections of spatially distributed signal patterns with a broad spectrum of…

Instrumentation and Methods for Astrophysics · Physics 2018-02-12 Martin Erdmann , Lukas Geiger , Jonas Glombitza , David Schmidt

Neural networks have been proven to be vulnerable to a variety of adversarial attacks. From a safety perspective, highly sparse adversarial attacks are particularly dangerous. On the other hand the pixelwise perturbations of sparse attacks…

Machine Learning · Computer Science 2019-09-12 Francesco Croce , Matthias Hein

Wasserstein distributionally robust optimization (WDRO) provides a framework for adversarial robustness, yet existing methods based on global Lipschitz continuity or strong duality often yield loose upper bounds or require prohibitive…

Machine Learning · Computer Science 2026-02-04 Bach C. Le , Tung V. Dao , Binh T. Nguyen , Hong T. M. Chu

This paper proposes a new theoretical lens to view Wasserstein generative adversarial networks (WGANs). To minimize the Wasserstein-1 distance between the true data distribution and our estimate of it, we derive a distribution-dependent…

Machine Learning · Statistics 2025-02-05 Zachariah Malik , Yu-Jui Huang

Deep neural networks perform well on real world data but are prone to adversarial perturbations: small changes in the input easily lead to misclassification. In this work, we propose an attack methodology not only for cases where the…

Machine Learning · Computer Science 2019-10-09 Aram-Alexandre Pooladian , Chris Finlay , Tim Hoheisel , Adam Oberman

We propose a novel method for creating adversarial examples. Instead of perturbing pixels, we use an encoder-decoder representation of the input image and perturb intermediate layers in the decoder. This changes the high-level features…

Computer Vision and Pattern Recognition · Computer Science 2021-10-15 Vojtěch Čermák , Lukáš Adam

In this paper, we present an adversarial unsupervised domain adaptation framework for object detection. Prior approaches utilize adversarial training based on cross entropy between the source and target domain distributions to learn a…

Computer Vision and Pattern Recognition · Computer Science 2019-09-20 Pengcheng Xu , Prudhvi Gurram , Gene Whipps , Rama Chellappa

Deep neural networks (DNNs) have proven to be powerful tools for processing unstructured data. However for high-dimensional data, like images, they are inherently vulnerable to adversarial attacks. Small almost invisible perturbations added…

Machine Learning · Computer Science 2021-03-24 Matthias Rottmann , Kira Maag , Mathis Peyron , Natasa Krejic , Hanno Gottschalk

Projection robust Wasserstein (PRW) distance, or Wasserstein projection pursuit (WPP), is a robust variant of the Wasserstein distance. Recent work suggests that this quantity is more robust than the standard Wasserstein distance, in…

Machine Learning · Computer Science 2023-01-03 Tianyi Lin , Chenyou Fan , Nhat Ho , Marco Cuturi , Michael I. Jordan

We address the problem of efficiently computing Wasserstein distances for multiple pairs of distributions drawn from a meta-distribution. To this end, we propose a fast estimation method based on regressing Wasserstein distance on sliced…

Machine Learning · Statistics 2026-03-04 Khai Nguyen , Hai Nguyen , Nhat Ho

Adversarial attacks on deep-learning models pose a serious threat to their reliability and security. Existing defense mechanisms are narrow addressing a specific type of attack or being vulnerable to sophisticated attacks. We propose a new…

Machine Learning · Computer Science 2023-06-22 Mouna Rabhi , Roberto Di Pietro

Despite significant advances, deep networks remain highly susceptible to adversarial attack. One fundamental challenge is that small input perturbations can often produce large movements in the network's final-layer feature space. In this…

Machine Learning · Computer Science 2023-04-20 Maria-Florina Balcan , Avrim Blum , Dravyansh Sharma , Hongyang Zhang