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We propose a new colour transfer method with Optimal Transport (OT) to transfer the colour of a sourceimage to match the colour of a target image of the same scene that may exhibit large motion changes betweenimages. By definition OT does…

Computer Vision and Pattern Recognition · Computer Science 2020-05-20 Hana Alghamdi , Rozenn Dahyot

Radiology report generation represents a significant application within medical AI, and has achieved impressive results. Concurrently, large language models (LLMs) have demonstrated remarkable performance across various domains. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Haifeng Zhao , Yufei Zhang , Leilei Ma , Shuo Xu , Dengdi Sun

Training data are usually limited or heterogeneous in many chemical and biological applications. Existing machine learning models for chemistry and materials science fail to consider generalizing beyond training domains. In this article, we…

Machine Learning · Computer Science 2023-10-31 Fang Wu , Nicolas Courty , Shuting Jin , Stan Z. Li

Comparing time series in a principled manner requires capturing both temporal alignment and distributional similarity of features. Optimal transport (OT) has recently emerged as a powerful tool for this task, but existing OT-based…

Optimization and Control · Mathematics 2025-12-29 Thai P. D. Nguyen , Hong T. M. Chu , Kim-Chuan Toh

Establishing correspondences between image pairs is a long studied problem in computer vision. With recent large-scale foundation models showing strong zero-shot performance on downstream tasks including classification and segmentation,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Francis Snelgar , Stephen Gould , Ming Xu , Liang Zheng , Akshay Asthana

Measuring the semantic similarity between two sentences is still an important task. The word mover's distance (WMD) computes the similarity via the optimal alignment between the sets of word embeddings. However, WMD does not utilize word…

Computation and Language · Computer Science 2023-11-03 Hiroaki Yamagiwa , Sho Yokoi , Hidetoshi Shimodaira

Optimal Transport (OT) theory has seen an increasing amount of attention from the computer science community due to its potency and relevance in modeling and machine learning. It introduces means that serve as powerful ways to compare…

Machine Learning · Computer Science 2021-06-04 Luis Caicedo Torres , Luiz Manella Pereira , M. Hadi Amini

Cross-lingual semantic parsing transfers parsing capability from a high-resource language (e.g., English) to low-resource languages with scarce training data. Previous work has primarily considered silver-standard data augmentation or…

Computation and Language · Computer Science 2023-07-11 Tom Sherborne , Tom Hosking , Mirella Lapata

Gromov-Wasserstein distances are generalization of Wasserstein distances, which are invariant under distance preserving transformations. Although a simplified version of optimal transport in Wasserstein spaces, called linear optimal…

Numerical Analysis · Mathematics 2022-12-07 Florian Beier , Robert Beinert , Gabriele Steidl

Sign Language (SL), as the mother tongue of the deaf community, is a special visual language that most hearing people cannot understand. In recent years, neural Sign Language Translation (SLT), as a possible way for bridging communication…

Computation and Language · Computer Science 2022-11-02 Jiangbin Zheng , Siyuan Li , Cheng Tan , Chong Wu , Yidong Chen , Stan Z. Li

Optimal transport (OT) is a powerful tool for measuring the distance between two defined probability distributions. In this paper, we develop a new manifold named the coupling matrix manifold (CMM), where each point on CMM can be regarded…

Machine Learning · Computer Science 2019-11-26 Dai Shi , Junbin Gao , Xia Hong , S. T. Boris Choy , Zhiyong Wang

We present a novel reduced-order Model (ROM) that leverages optimal transport (OT) theory and displacement interpolation to enhance the representation of nonlinear dynamics in complex systems. While traditional ROM techniques face…

Numerical Analysis · Mathematics 2024-11-14 Moaad Khamlich , Federico Pichi , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Optimal transport (OT) theory focuses, among all maps $T:\mathbb{R}^d\rightarrow \mathbb{R}^d$ that can morph a probability measure onto another, on those that are the ``thriftiest'', i.e. such that the averaged cost $c(x, T(x))$ between…

Machine Learning · Statistics 2023-02-09 Marco Cuturi , Michal Klein , Pierre Ablin

Linguistic knowledge plays a crucial role in spoken language comprehension. It provides essential semantic and syntactic context for speech perception in noisy environments. However, most speech enhancement (SE) methods predominantly rely…

Computation and Language · Computer Science 2025-03-11 Kuo-Hsuan Hung , Xugang Lu , Szu-Wei Fu , Huan-Hsin Tseng , Hsin-Yi Lin , Chii-Wann Lin , Yu Tsao

Optimal transport (OT) theory underlies many emerging machine learning (ML) methods nowadays solving a wide range of tasks such as generative modeling, transfer learning and information retrieval. These latter works, however, usually build…

Machine Learning · Statistics 2021-12-03 Quang Huy Tran , Hicham Janati , Ievgen Redko , Rémi Flamary , Nicolas Courty

Optimal Transport has received much attention in Machine Learning as it allows to compare probability distributions by exploiting the geometry of the underlying space. However, in its original formulation, solving this problem suffers from…

Machine Learning · Computer Science 2023-11-27 Clément Bonet

Optimal transport (OT) aims to find a map $T$ that transports mass from one probability measure to another while minimizing a cost function. Recently, neural OT solvers have gained popularity in high dimensional biological applications such…

Machine Learning · Computer Science 2025-05-20 Peter Chen , Yue Xie , Qingpeng Zhang

Representation learning on text-attributed graphs (TAGs) integrates structural connectivity with rich textual semantics, enabling applications in diverse domains. Current methods largely rely on contrastive learning to maximize cross-modal…

Graphics · Computer Science 2025-10-15 Heng Zhang , Tianyi Zhang , Yuling Shi , Xiaodong Gu , Yaomin Shen , Zijian Zhang , Yilei Yuan , Hao Zhang , Jin Huang

Neural representations for 3D meshes are emerging as an effective solution for compact storage and efficient processing. Existing methods often rely on neural overfitting, where a coarse mesh is stored and progressively refined through…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Xiang Gao , Yuanpeng Liu , Xinmu Wang , Jiazhi Li , Minghao Guo , Yu Guo , Xiyun Song , Heather Yu , Zhiqiang Lao , Xianfeng David Gu

The Gaussian-smoothed optimal transport (GOT) framework, recently proposed by Goldfeld et al., scales to high dimensions in estimation and provides an alternative to entropy regularization. This paper provides convergence guarantees for…

Machine Learning · Computer Science 2021-03-02 Yixing Zhang , Xiuyuan Cheng , Galen Reeves