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We introduce the Approximated Optimal Transport (AOT) technique, a novel training scheme for diffusion-based generative models. Our approach aims to approximate and integrate optimal transport into the training process, significantly…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Daegyu Kim , Jooyoung Choi , Chaehun Shin , Uiwon Hwang , Sungroh Yoon

Optimal transport (OT) has become a widely used tool in the machine learning field to measure the discrepancy between probability distributions. For instance, OT is a popular loss function that quantifies the discrepancy between an…

Machine Learning · Computer Science 2022-12-27 Shintaro Nakamura , Han Bao , Masashi Sugiyama

Out-of-distribution (OOD) data poses serious challenges in deployed machine learning models as even subtle changes could incur significant performance drops. Being able to estimate a model's performance on test data is important in practice…

Machine Learning · Computer Science 2023-02-13 Yuzhe Lu , Zhenlin Wang , Runtian Zhai , Soheil Kolouri , Joseph Campbell , Katia Sycara

We investigate the optimal transport problem between probability measures when the underlying cost function is understood to satisfy a least action principle, also known as a Lagrangian cost. These generalizations are useful when connecting…

Machine Learning · Computer Science 2024-06-04 Aram-Alexandre Pooladian , Carles Domingo-Enrich , Ricky T. Q. Chen , Brandon Amos

All-in-one image restoration has emerged as a practical and promising low-level vision task for real-world applications. In this context, the key issue lies in how to deal with different types of degraded images simultaneously. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xiaole Tang , Xiang Gu , Xiaoyi He , Xin Hu , Jian Sun

Few-Shot Remote Sensing Scene Classification (FS-RSSC) presents the challenge of classifying remote sensing images with limited labeled samples. Existing methods typically emphasize single-modal feature learning, neglecting the potential…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Zhong Ji , Ci Liu , Jingren Liu , Chen Tang , Yanwei Pang , Xuelong Li

Optimal Transport is a theory that allows to define geometrical notions of distance between probability distributions and to find correspondences, relationships, between sets of points. Many machine learning applications are derived from…

Machine Learning · Statistics 2020-11-10 Titouan Vayer

We present a new approach for Neural Optimal Transport (NOT) training procedure, capable of accurately and efficiently estimating optimal transportation plan via specific regularization on dual Kantorovich potentials. The main bottleneck of…

Machine Learning · Computer Science 2024-10-21 Nazar Buzun , Maksim Bobrin , Dmitry V. Dylov

Systematics contaminate observables, leading to distribution shifts relative to theoretically simulated signals-posing a major challenge for using pre-trained models to label such observables. Since systematics are often poorly understood…

Instrumentation and Methods for Astrophysics · Physics 2025-11-18 Sultan Hassan , Sambatra Andrianomena , Benjamin D. Wandelt

Comparing probability distributions is a fundamental problem in data sciences. Simple norms and divergences such as the total variation and the relative entropy only compare densities in a point-wise manner and fail to capture the geometric…

Recent advances in label assignment in object detection mainly seek to independently define positive/negative training samples for each ground-truth (gt) object. In this paper, we innovatively revisit the label assignment from a global…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Zheng Ge , Songtao Liu , Zeming Li , Osamu Yoshie , Jian Sun

Current research on cross-modal retrieval is mostly English-oriented, as the availability of a large number of English-oriented human-labeled vision-language corpora. In order to break the limit of non-English labeled data, cross-lingual…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Yabing Wang , Shuhui Wang , Hao Luo , Jianfeng Dong , Fan Wang , Meng Han , Xun Wang , Meng Wang

Cross-domain alignment between two sets of entities (e.g., objects in an image, words in a sentence) is fundamental to both computer vision and natural language processing. Existing methods mainly focus on designing advanced attention…

Computation and Language · Computer Science 2020-07-28 Liqun Chen , Zhe Gan , Yu Cheng , Linjie Li , Lawrence Carin , Jingjing Liu

Direct Preference Optimization (DPO) has emerged as a promising framework for aligning Large Language Models (LLMs) with human preferences by directly optimizing the log-likelihood difference between chosen and rejected responses. However,…

Computation and Language · Computer Science 2025-05-27 Meng Li , Guangda Huzhang , Haibo Zhang , Xiting Wang , Anxiang Zeng

The reconstruction of gap-free signals from observation data is a critical challenge for numerous application domains, such as geoscience and space-based earth observation, when the available sensors or the data collection processes lead to…

Image and Video Processing · Electrical Eng. & Systems 2022-11-15 Maxime Beauchamp , Joseph Thompson , Hugo Georgenthum , Quentin Febvre , Ronan Fablet

Alignment plays a fundamental role in many machine learning problems, such as multi-network analysis, multimodal learning, and point cloud registration. Recent works increasingly leverage optimal transport (OT) for distributional alignment,…

Machine Learning · Computer Science 2026-05-26 Qi Yu , Ruizhong Qiu , Zhichen Zeng , My T. Thai , Huan Liu , Hanghang Tong

The theory of Optimal Transport (OT) and Martingale Optimal Transport (MOT) were inspired by problems in economics and finance and have flourished over the past decades, making significant advances in theory and practice. MOT considers the…

Probability · Mathematics 2023-04-25 Tongseok Lim

Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic developments, their complexity prevents their direct use on…

Machine Learning · Statistics 2021-01-07 Kilian Fatras , Younes Zine , Szymon Majewski , Rémi Flamary , Rémi Gribonval , Nicolas Courty

Cross-modal matching, a fundamental task in bridging vision and language, has recently garnered substantial research interest. Despite the development of numerous methods aimed at quantifying the semantic relatedness between image-text…

Information Retrieval · Computer Science 2026-03-17 Zhengxin Pan , Haishuai Wang , Fangyu Wu , Bailing Zhang , Jiajun Bu , Hongyang Chen

Optimal Transport is a useful metric to compare probability distributions and to compute a pairing given a ground cost. Its entropic regularization variant (eOT) is crucial to have fast algorithms and reflect fuzzy/noisy matchings. This…

Statistics Theory · Mathematics 2024-03-12 Francisco Andrade , Gabriel Peyre , Clarice Poon
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