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Detecting anomalies in datasets is a longstanding problem in machine learning. In this context, anomalies are defined as a sample that significantly deviates from the remaining data. Meanwhile, optimal transport (OT) is a field of…

Machine Learning · Statistics 2025-07-09 Eduardo Fernandes Montesuma , Adel El Habazi , Fred Ngole Mboula

Algorithmic trading refers to executing buy and sell orders for specific assets based on automatically identified trading opportunities. Strategies based on reinforcement learning (RL) have demonstrated remarkable capabilities in addressing…

Trading and Market Microstructure · Quantitative Finance 2024-07-03 Xi Cheng , Jinghao Zhang , Yunan Zeng , Wenfang Xue

The optimal transport problem for measures supported on non-Euclidean spaces has recently gained ample interest in diverse applications involving representation learning. In this paper, we focus on circular probability measures, i.e.,…

Machine Learning · Computer Science 2023-10-11 Rocio Diaz Martin , Ivan Medri , Yikun Bai , Xinran Liu , Kangbai Yan , Gustavo K. Rohde , Soheil Kolouri

Machine learning algorithms for generating molecular structures offer a promising new approach to drug discovery. We cast molecular optimization as a translation problem, where the goal is to map an input compound to a target compound with…

Machine Learning · Computer Science 2019-12-24 Farhan Damani , Vishnu Sresht , Stephen Ra

In online incremental learning, data continuously arrives with substantial distributional shifts, creating a significant challenge because previous samples have limited replay value when learning a new task. Prior research has typically…

Machine Learning · Computer Science 2026-04-17 Quyen Tran , Hai Nguyen , Hoang Phan , Quan Dao , Linh Ngo , Khoat Than , Dinh Phung , Dimitris Metaxas , Trung Le

Imitation learning holds tremendous promise in learning policies efficiently for complex decision making problems. Current state-of-the-art algorithms often use inverse reinforcement learning (IRL), where given a set of expert…

Robotics · Computer Science 2023-02-22 Siddhant Haldar , Vaibhav Mathur , Denis Yarats , Lerrel Pinto

Optimal transport aligns samples across distributions by minimizing the transportation cost between them, e.g., the geometric distances. Yet, it ignores coherence structure in the data such as clusters, does not handle outliers well, and…

Machine Learning · Computer Science 2023-05-31 Ching-Yao Chuang , Stefanie Jegelka , David Alvarez-Melis

Optimal transport (OT) is a powerful geometric and probabilistic tool for finding correspondences and measuring similarity between two distributions. Yet, its original formulation relies on the existence of a cost function between the…

Machine Learning · Statistics 2020-11-09 Ievgen Redko , Titouan Vayer , Rémi Flamary , Nicolas Courty

Optimal transport (OT) is a powerful geometric tool used to compare and align probability measures following the least effort principle. Despite its widespread use in machine learning (ML), OT problem still bears its computational burden,…

Machine Learning · Computer Science 2023-08-14 Oliver Struckmeier , Ievgen Redko , Anton Mallasto , Karol Arndt , Markus Heinonen , Ville Kyrki

We study the use of amortized optimization to predict optimal transport (OT) maps from the input measures, which we call Meta OT. This helps repeatedly solve similar OT problems between different measures by leveraging the knowledge and…

Machine Learning · Computer Science 2023-06-06 Brandon Amos , Samuel Cohen , Giulia Luise , Ievgen Redko

Semi-supervised learning has made remarkable strides by effectively utilizing a limited amount of labeled data while capitalizing on the abundant information present in unlabeled data. However, current algorithms often prioritize aligning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-31 Zhiquan Tan , Kaipeng Zheng , Weiran Huang

Standard representational similarity methods align each layer of a network to its best match in another independently, producing asymmetric results, lacking a global alignment score, and struggling with networks of different depths. These…

Machine Learning · Computer Science 2026-04-23 Shaan Shah , Meenakshi Khosla

Recently, Optimal Transport has been proposed as a probabilistic framework in Machine Learning for comparing and manipulating probability distributions. This is rooted in its rich history and theory, and has offered new solutions to…

Machine Learning · Computer Science 2024-08-22 Eduardo Fernandes Montesuma , Fred Ngolè Mboula , Antoine Souloumiac

Representation learning has been widely studied in the context of meta-learning, enabling rapid learning of new tasks through shared representations. Recent works such as MAML have explored using fine-tuning-based metrics, which measure the…

Machine Learning · Computer Science 2021-05-06 Kurtland Chua , Qi Lei , Jason D. Lee

Medical image reconstruction from measurement data is a vital but challenging inverse problem. Deep learning approaches have achieved promising results, but often requires paired measurement and high-quality images, which is typically…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Taoran Zheng , Yan Yang , Xing Li , Xiang Gu , Jian Sun , Zongben Xu

Machine learning (ML) techniques have recently enabled enormous gains in sensitivity to new phenomena across the sciences. In particle physics, much of this progress has relied on excellent simulations of a wide range of physical processes.…

Data Analysis, Statistics and Probability · Physics 2025-10-20 Malte Algren , Tobias Golling , Francesco Armando Di Bello , Christopher Pollard

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

Machine Learning · Statistics 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

Generalizing knowledge to unseen domains, where data and labels are unavailable, is crucial for machine learning models. We tackle the domain generalization problem to learn from multiple source domains and generalize to a target domain…

Computer Vision and Pattern Recognition · Computer Science 2022-04-06 Fan Zhou , Zhuqing Jiang , Changjian Shui , Boyu Wang , Brahim Chaib-draa

Optimal transport (OT) distances between probability distributions are parameterized by the ground metric they use between observations. Their relevance for real-life applications strongly hinges on whether that ground metric parameter is…

Machine Learning · Statistics 2020-11-06 Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré

Optimizing chemical molecules for desired properties lies at the core of drug development. Despite initial successes made by deep generative models and reinforcement learning methods, these methods were mostly limited by the requirement of…

Machine Learning · Computer Science 2021-12-01 Shuangjia Zheng , Ying Song , Zhang Pan , Chengtao Li , Le Song , Yuedong Yang
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