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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

Network regularization is an effective tool for incorporating structural prior knowledge to learn coherent models over networks, and has yielded provably accurate estimates in applications ranging from spatial economics to neuroimaging…

Machine Learning · Computer Science 2020-06-02 Hongyuan You , Furkan Kocayusufoglu , Ambuj K. Singh

This paper presents a cross-modal learning framework that exploits complementary information from depth and grayscale images for robust navigation. We introduce a Cross-Modal Wasserstein Autoencoder that learns shared latent representations…

Robotics · Computer Science 2026-03-24 Omkar Sawant , Luca Zanatta , Grzegorz Malczyk , Kostas Alexis

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2021-05-26 Viet Huynh , Nhat Ho , Nhan Dam , XuanLong Nguyen , Mikhail Yurochkin , Hung Bui , and Dinh Phung

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 considers the problem of regression over distributions, which is becoming increasingly important in machine learning. Existing approaches often ignore the geometry of the probability space or are computationally expensive. To…

Machine Learning · Computer Science 2025-10-31 Maksim Maslov , Alexander Kugaevskikh , Matthew Ivanov

Wasserstein distance-based distributionally robust optimization (DRO) has received much attention lately due to its ability to provide a robustness interpretation of various learning models. Moreover, many of the DRO problems that arise in…

Optimization and Control · Mathematics 2019-10-29 Jiajin Li , Sen Huang , Anthony Man-Cho So

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

Domain generalization aims at learning a universal model that performs well on unseen target domains, incorporating knowledge from multiple source domains. In this research, we consider the scenario where different domain shifts occur among…

Machine Learning · Computer Science 2024-03-26 Jingge Wang , Liyan Xie , Yao Xie , Shao-Lun Huang , Yang Li

Distributionally robust optimization (DRO) is an effective approach for data-driven decision-making in the presence of uncertainty. Geometric uncertainty due to sampling or localized perturbations of data points is captured by Wasserstein…

Machine Learning · Statistics 2023-11-10 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

Wasserstein distributionally robust optimization (\textsf{WDRO}) is a popular model to enhance the robustness of machine learning with ambiguous data. However, the complexity of \textsf{WDRO} can be prohibitive in practice since solving its…

Machine Learning · Computer Science 2023-05-10 Ruomin Huang , Jiawei Huang , Wenjie Liu , Hu Ding

Conventional video summarization approaches based on reinforcement learning have the problem that the reward can only be received after the whole summary is generated. Such kind of reward is sparse and it makes reinforcement learning hard…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Yiyan Chen , Li Tao , Xueting Wang , Toshihiko Yamasaki

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

Autonomous mobile manipulation in unstructured warehouses requires a balance between efficient large-scale navigation and high-precision object interaction. Traditional end-to-end learning approaches often struggle to handle the conflicting…

Robotics · Computer Science 2026-01-13 Yun Chen , Bowei Huang , Fan Guo , Kang Song

Design of adversarial attacks for deep neural networks, as well as methods of adversarial training against them, are subject of intense research. In this paper, we propose methods to train against distributional attack threats, extending…

Machine Learning · Computer Science 2025-02-14 Xingjian Bai , Guangyi He , Yifan Jiang , Jan Obloj

As the complexity of modern control systems increases, it becomes challenging to derive an accurate model of the uncertainty that affects their dynamics. Wasserstein Distributionally Robust Optimization (DRO) provides a powerful framework…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

We introduce Wasserstein Policy Optimization (WPO), an actor-critic algorithm for reinforcement learning in continuous action spaces. WPO can be derived as an approximation to Wasserstein gradient flow over the space of all policies…

Machine Learning · Computer Science 2025-05-02 David Pfau , Ian Davies , Diana Borsa , Joao G. M. Araujo , Brendan Tracey , Hado van Hasselt

Graphs are playing a crucial role in different fields since they are powerful tools to unveil intrinsic relationships among signals. In many scenarios, an accurate graph structure representing signals is not available at all and that…

Machine Learning · Computer Science 2021-05-14 Xiang Zhang , Yinfei Xu , Qinghe Liu , Zhicheng Liu , Jian Lu , Qiao Wang

We study the inverse optimal control problem in social sciences: we aim at learning a user's true cost function from the observed temporal behavior. In contrast to traditional phenomenological works that aim to learn a generative model to…

Machine Learning · Computer Science 2018-05-23 Yichen Wang , Le Song , Hongyuan Zha

Federated reinforcement learning typically aggregates value functions or policies by parameter averaging, which emphasizes expected return and can obscure statistical multimodality and tail behavior that matter in safety-critical settings.…

Machine Learning · Computer Science 2026-03-19 David Millard , Cecilia Alm , Rashid Ali , Pengcheng Shi , Ali Baheri
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