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This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear projections from input space onto these class manifolds. The…

Machine Learning · Computer Science 2023-08-24 Aaron Mahler , Tyrus Berry , Tom Stephens , Harbir Antil , Michael Merritt , Jeanie Schreiber , Ioannis Kevrekidis

Color image generation has a wide range of applications, but the existing generation models ignore the correlation among color channels, which may lead to chromatic aberration problems. In addition, the data distribution problem of color…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Zhigang Jia , Duan Wang , Hengkai Wang , Yajun Xie , Meixiang Zhao , Xiaoyu Zhao

Recently, many studies have demonstrated deep neural network (DNN) classifiers can be fooled by the adversarial example, which is crafted via introducing some perturbations into an original sample. Accordingly, some powerful defense…

Cryptography and Security · Computer Science 2019-01-10 Bin Liang , Hongcheng Li , Miaoqiang Su , Xirong Li , Wenchang Shi , Xiaofeng Wang

Standard adversarial attacks change the predicted class label of a selected image by adding specially tailored small perturbations to its pixels. In contrast, a universal perturbation is an update that can be added to any image in a broad…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ali Shafahi , Mahyar Najibi , Zheng Xu , John Dickerson , Larry S. Davis , Tom Goldstein

Classical model-based imaging methods for ultrasound elasticity inverse problem require prior constraints about the underlying elasticity patterns, while finding the appropriate hand-crafted prior for each tissue type is a challenge. In…

Image and Video Processing · Electrical Eng. & Systems 2021-06-16 Narges Mohammadi , Marvin M. Doyley , Mujdat Cetin

Image classification currently faces significant security challenges due to adversarial attacks, which consist of intentional alterations designed to deceive classification models based on artificial intelligence. This article explores an…

Neural and Evolutionary Computing · Computer Science 2025-07-18 Sergio Nesmachnow , Jamal Toutouh

White box adversarial perturbations are generated via iterative optimization algorithms most often by minimizing an adversarial loss on a $\ell_p$ neighborhood of the original image, the so-called distortion set. Constraining the…

Machine Learning · Computer Science 2021-02-16 Ehsan Kazemi , Thomas Kerdreux , Liquang Wang

Despite being impactful on a variety of problems and applications, the generative adversarial nets (GANs) are remarkably difficult to train. This issue is formally analyzed by \cite{arjovsky2017towards}, who also propose an alternative…

Computer Vision and Pattern Recognition · Computer Science 2018-03-06 Xiang Wei , Boqing Gong , Zixia Liu , Wei Lu , Liqiang Wang

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

We introduce a distortion measure for images, Wasserstein distortion, that simultaneously generalizes pixel-level fidelity on the one hand and realism or perceptual quality on the other. We show how Wasserstein distortion reduces to a pure…

Information Theory · Computer Science 2024-04-01 Yang Qiu , Aaron B. Wagner , Johannes Ballé , Lucas Theis

Adversarial examples are input examples that are specifically crafted to deceive machine learning classifiers. State-of-the-art adversarial example detection methods characterize an input example as adversarial either by quantifying the…

Computer Vision and Pattern Recognition · Computer Science 2021-01-01 Yuhang Wu , Sunpreet S. Arora , Yanhong Wu , Hao Yang

Generative Adversarial Nets (GANs) are very successful at modeling distributions from given samples, even in the high-dimensional case. However, their formulation is also known to be hard to optimize and often not stable. While this is…

Computer Vision and Pattern Recognition · Computer Science 2018-03-30 Ishan Deshpande , Ziyu Zhang , Alexander Schwing

Adversarial training (AT) trains models using adversarial examples (AEs), which are natural images modified with specific perturbations to mislead the model. These perturbations are constrained by a predefined perturbation budget $\epsilon$…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Jiacheng Zhang , Feng Liu , Dawei Zhou , Jingfeng Zhang , Tongliang Liu

The unequal representation of different groups in a sample population can lead to discrimination of minority groups when machine learning models make automated decisions. To address these issues, fairness-aware machine learning jointly…

Machine Learning · Computer Science 2023-11-22 Xuan Zhao , Simone Fabbrizzi , Paula Reyero Lobo , Siamak Ghodsi , Klaus Broelemann , Steffen Staab , Gjergji Kasneci

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

Wasserstein Discriminant Analysis (WDA) is a new supervised method that can improve classification of high-dimensional data by computing a suitable linear map onto a lower dimensional subspace. Following the blueprint of classical Linear…

Machine Learning · Statistics 2018-09-21 Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy

Motivated by the 2D class averaging problem in single-particle cryo-electron microscopy (cryo-EM), we present a k-means algorithm based on a rotationally-invariant Wasserstein metric for images. Unlike existing methods that are based on…

Computer Vision and Pattern Recognition · Computer Science 2021-05-31 Rohan Rao , Amit Moscovich , Amit Singer

Adversarial attacks aim to confound machine learning systems, while remaining virtually imperceptible to humans. Attacks on image classification systems are typically gauged in terms of $p$-norm distortions in the pixel feature space. We…

Machine Learning · Computer Science 2019-06-07 Ayon Sen , Xiaojin Zhu , Liam Marshall , Robert Nowak

The Wasserstein distance received a lot of attention recently in the community of machine learning, especially for its principled way of comparing distributions. It has found numerous applications in several hard problems, such as domain…

Machine Learning · Statistics 2017-10-23 Nicolas Courty , Rémi Flamary , Mélanie Ducoffe

In this paper, we propose a natural and robust physical adversarial example attack method targeting object detectors under real-world conditions. The generated adversarial examples are robust to various physical constraints and visually…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Mingfu Xue , Chengxiang Yuan , Can He , Jian Wang , Weiqiang Liu