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Adversarially robust optimization (ARO) has emerged as the *de facto* standard for training models that hedge against adversarial attacks in the test stage. While these models are robust against adversarial attacks, they tend to suffer…

Optimization and Control · Mathematics 2025-06-12 Aras Selvi , Eleonora Kreacic , Mohsen Ghassemi , Vamsi Potluru , Tucker Balch , Manuela Veloso

Approximating distributions over complicated manifolds, such as natural images, are conceptually attractive. The deep latent variable model, trained using variational autoencoders and generative adversarial networks, is now a key technique…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Wenju Xu , Shawn Keshmiri , Guanghui Wang

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

Generative Adversarial Networks (GANs) are one of the most practical methods for learning data distributions. A popular GAN formulation is based on the use of Wasserstein distance as a metric between probability distributions.…

Machine Learning · Computer Science 2018-05-23 Maziar Sanjabi , Jimmy Ba , Meisam Razaviyayn , Jason D. Lee

Despite the growing prevalence of artificial neural networks in real-world applications, their vulnerability to adversarial attacks remains a significant concern, which motivates us to investigate the robustness of machine learning models.…

Machine Learning · Computer Science 2024-08-23 Jie Wang , Rui Gao , Yao Xie

The generative adversarial network (GAN) aims to approximate an unknown distribution via a parameterized neural network (NN). While GANs have been widely applied in reinforcement and semi-supervised learning as well as computer vision…

Machine Learning · Computer Science 2026-02-06 Yu-Jui Huang , Hsin-Hua Shen , Yu-Chih Huang , Wan-Yi Lin , Shih-Chun Lin

We study multi-objective optimization over probability distributions in Wasserstein space. Recently, Nguyen et al. (2025) introduced Multiple Wasserstein Gradient Descent (MWGraD) algorithm, which exploits the geometric structure of…

Machine Learning · Computer Science 2026-01-28 Dai Hai Nguyen , Duc Dung Nguyen , Atsuyoshi Nakamura , Hiroshi Mamitsuka

We propose a semi-supervised generative model, SeGMA, which learns a joint probability distribution of data and their classes and which is implemented in a typical Wasserstein auto-encoder framework. We choose a mixture of Gaussians as a…

Machine Learning · Computer Science 2020-08-28 Marek Śmieja , Maciej Wołczyk , Jacek Tabor , Bernhard C. Geiger

Collaborative filtering (CF) is an essential technique in recommender systems that provides personalized recommendations by only leveraging user-item interactions. However, most CF methods represent users and items as fixed points in the…

Information Retrieval · Computer Science 2024-07-02 Haoxuan Li , Yuanxin Ouyang , Zhuang Liu , Wenge Rong , Zhang Xiong

Change Point Detection (CPD) aims to identify moments of abrupt distribution shifts in data streams. Real-world high-dimensional CPD remains challenging due to data pattern complexity and violation of common assumptions. Resorting to…

Machine Learning · Statistics 2025-10-03 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

We propose a new equilibrium enforcing method paired with a loss derived from the Wasserstein distance for training auto-encoder based Generative Adversarial Networks. This method balances the generator and discriminator during training.…

Machine Learning · Computer Science 2017-06-02 David Berthelot , Thomas Schumm , Luke Metz

In federated learning, participating clients typically possess non-i.i.d. data, posing a significant challenge to generalization to unseen distributions. To address this, we propose a Wasserstein distributionally robust optimization scheme…

Machine Learning · Computer Science 2022-06-06 Tung-Anh Nguyen , Tuan Dung Nguyen , Long Tan Le , Canh T. Dinh , Nguyen H. Tran

Hierarchical reinforcement learning composites subpolicies in different hierarchies to accomplish complex tasks.Automated subpolicies discovery, which does not depend on domain knowledge, is a promising approach to generating…

Machine Learning · Computer Science 2023-08-03 Haorui Li , Jiaqi Liang , Linjing Li , Daniel Zeng

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

We propose to align distributional data from the perspective of Wasserstein means. We raise the problem of regularizing Wasserstein means and propose several terms tailored to tackle different problems. Our formulation is based on the…

Machine Learning · Computer Science 2020-02-24 Liang Mi , Wen Zhang , Yalin Wang

The ability to model relational information using machine learning has driven advancements across various domains, from medicine to social science. While graph representation learning has become mainstream over the past decade, representing…

Machine Learning · Computer Science 2025-06-12 Iulia Duta , Pietro Liò

Generative AutoEncoders require a chosen probability distribution in latent space, usually multivariate Gaussian. The original Variational AutoEncoder (VAE) uses randomness in encoder - causing problematic distortion, and overlaps in latent…

Machine Learning · Computer Science 2019-01-15 Jarek Duda

High-resolution (HR) precipitation prediction is essential for reducing damage from stationary and localized heavy rainfall; however, HR precipitation forecasts using process-driven numerical weather prediction models remains challenging.…

Machine Learning · Computer Science 2026-05-19 Kenta Shiraishi , Yuka Muto , Atsushi Okazaki , Shunji Kotsuki

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

Generative adversarial networks are a class of generative algorithms that have been widely used to produce state-of-the-art samples. In this paper, we investigate GAN to perform anomaly detection on time series dataset. In order to achieve…

Machine Learning · Statistics 2018-12-12 Ilyass Haloui , Jayant Sen Gupta , Vincent Feuillard