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Deep Neural Networks (DNNs) are notoriously vulnerable to adversarial input designs with limited noise budgets. While numerous successful attacks with subtle modifications to original input have been proposed, defense techniques against…

Machine Learning · Computer Science 2025-06-27 Furkan Mumcu , Yasin Yilmaz

The squared Wasserstein distance is a natural quantity to compare probability distributions in a non-parametric setting. This quantity is usually estimated with the plug-in estimator, defined via a discrete optimal transport problem which…

Optimization and Control · Mathematics 2020-10-30 Lenaic Chizat , Pierre Roussillon , Flavien Léger , François-Xavier Vialard , Gabriel Peyré

In inverse problems, many conditional generative models approximate the posterior measure by minimizing a distance between the joint measure and its learned approximation. While this approach also controls the distance between the posterior…

Machine Learning · Computer Science 2025-08-28 Jannis Chemseddine , Paul Hagemann , Gabriele Steidl , Christian Wald

We present an anomaly detection method using Wasserstein generative adversarial networks (WGANs) on optical galaxy images from the wide-field survey conducted with the Hyper Suprime-Cam (HSC) on the Subaru Telescope in Hawai'i. The WGAN is…

Deep neural networks are vulnerable to adversarial examples, i.e., carefully-perturbed inputs aimed to mislead classification. This work proposes a detection method based on combining non-linear dimensionality reduction and density…

Machine Learning · Computer Science 2019-05-02 Francesco Crecchi , Davide Bacciu , Battista Biggio

We develop a general framework for statistical inference with the 1-Wasserstein distance. Recently, the Wasserstein distance has attracted considerable attention and has been widely applied to various machine learning tasks because of its…

Statistics Theory · Mathematics 2022-02-16 Masaaki Imaizumi , Hirofumi Ota , Takuo Hamaguchi

High-dimensional data often exhibit hierarchical structures in both modes: samples and features. Yet, most existing approaches for hierarchical representation learning consider only one mode at a time. In this work, we propose an…

Machine Learning · Computer Science 2025-10-23 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

Object density reconstruction from projections containing scattered radiation and noise is of critical importance in many applications. Existing scatter correction and density reconstruction methods may not provide the high accuracy needed…

Image and Video Processing · Electrical Eng. & Systems 2022-04-28 Zhishen Huang , Marc Klasky , Trevor Wilcox , Saiprasad Ravishankar

Comparing probability distributions is at the crux of many machine learning algorithms. Maximum Mean Discrepancies (MMD) and Wasserstein distances are two classes of distances between probability distributions that have attracted abundant…

Machine Learning · Statistics 2023-06-01 Titouan Vayer , Rémi Gribonval

The existence of adversarial attacks (or adversarial examples) brings huge concern about the machine learning (ML) model's safety issues. For many safety-critical ML tasks, such as financial forecasting, fraudulent detection, and anomaly…

Machine Learning · Computer Science 2022-10-19 Han Xu , Menghai Pan , Zhimeng Jiang , Huiyuan Chen , Xiaoting Li , Mahashweta Das , Hao Yang

In predictive process monitoring, predictive models are vulnerable to adversarial attacks, where input perturbations can lead to incorrect predictions. Unlike in computer vision, where these perturbations are designed to be imperceptible to…

Machine Learning · Computer Science 2024-11-22 Alexander Stevens , Jari Peeperkorn , Johannes De Smedt , Jochen De Weerdt

Generative adversarial networks (GANs) are one of the most popular approaches when it comes to training generative models, among which variants of Wasserstein GANs are considered superior to the standard GAN formulation in terms of learning…

Machine Learning · Computer Science 2020-01-06 Dávid Terjék

Deep neural networks (DNNs) are vulnerable to adversarial examples that are carefully designed to cause the deep learning model to make mistakes. Adversarial examples of 2D images and 3D point clouds have been extensively studied, but…

Computer Vision and Pattern Recognition · Computer Science 2021-12-28 Wooju Lee , Hyun Myung

Adversarial attacks on deep neural network models have seen rapid development and are extensively used to study the stability of these networks. Among various adversarial strategies, Projected Gradient Descent (PGD) is a widely adopted…

Machine Learning · Computer Science 2024-10-17 Dayana Savostianova , Emanuele Zangrando , Francesco Tudisco

We propose a gradient flow procedure for generative modeling by transporting particles from an initial source distribution to a target distribution, where the gradient field on the particles is given by a noise-adaptive Wasserstein Gradient…

Machine Learning · Computer Science 2024-05-14 Alexandre Galashov , Valentin de Bortoli , Arthur Gretton

It is well known that the generative adversarial nets (GANs) are remarkably difficult to train. The recently proposed Wasserstein GAN (WGAN) creates principled research directions towards addressing these issues. But we found in practice…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Lijun Zhang , Yujin Zhang , Yongbin Gao

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

It has been shown that deep neural networks (DNNs) may be vulnerable to adversarial attacks, raising the concern on their robustness particularly for safety-critical applications. Recognizing the local nature and limitations of existing…

Machine Learning · Computer Science 2019-06-20 Hanbin Hu , Mit Shah , Jianhua Z. Huang , Peng Li

Understanding proper distance measures between distributions is at the core of several learning tasks such as generative models, domain adaptation, clustering, etc. In this work, we focus on mixture distributions that arise naturally in…

Machine Learning · Computer Science 2019-10-30 Yogesh Balaji , Rama Chellappa , Soheil Feizi

Generative adversarial networks (GANs) have been extremely successful in generating samples, from seemingly high dimensional probability measures. However, these methods struggle to capture the temporal dependence of joint probability…

Machine Learning · Computer Science 2025-08-26 Shujian Liao , Hao Ni , Lukasz Szpruch , Magnus Wiese , Marc Sabate-Vidales , Baoren Xiao
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