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Deep learning-based image restoration methods generally struggle with faithfully preserving the structures of the original image. In this work, we propose a novel Residual-Conditioned Optimal Transport (RCOT) approach, which models image…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Xiaole Tang , Xin Hu , Xiang Gu , Jian Sun

Optimal transport (OT) has recently been shown as a promising criterion for unsupervised restoration when no explicit prior model is available. Despite its theoretical appeal, OT still significantly falls short of supervised methods on…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Fei Wen , Wei Wang , Zeyu Yan , Wenbin Jiang

Retinal fundus photography offers a non-invasive way to diagnose and monitor a variety of retinal diseases, but is prone to inherent quality glitches arising from systemic imperfections or operator/patient-related factors. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-09-13 Vamsi Krishna Vasa , Peijie Qiu , Wenhui Zhu , Yujian Xiong , Oana Dumitrascu , Yalin Wang

All-in-one image restoration aims to adaptively handle multiple restoration tasks with a single trained model. Although existing methods achieve promising results by introducing prompt information or leveraging large models, the added…

Computer Vision and Pattern Recognition · Computer Science 2026-01-16 Hu Gao , Xiaoning Lei , Xichen Xu , Xingjian Wang , Lizhuang Ma

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

Inverse boundary value problems for the radiative transport equation play important roles in optics-based medical imaging techniques such as diffuse optical tomography (DOT) and fluorescence optical tomography (FOT). Despite the rapid…

Numerical Analysis · Mathematics 2015-06-19 Tian Ding , Kui Ren

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

With the proliferation of mobile devices, the need for an efficient model to restore any degraded image has become increasingly significant and impactful. Traditional approaches typically involve training dedicated models for each specific…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Bin Ren , Eduard Zamfir , Zongwei Wu , Yawei Li , Yidi Li , Danda Pani Paudel , Radu Timofte , Ming-Hsuan Yang , Nicu Sebe

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

Real-world image super-resolution (SR) tasks often do not have paired datasets, which limits the application of supervised techniques. As a result, the tasks are usually approached by unpaired techniques based on Generative Adversarial…

Image and Video Processing · Electrical Eng. & Systems 2025-07-09 Milena Gazdieva , Petr Mokrov , Litu Rout , Alexander Korotin , Andrey Kravchenko , Alexander Filippov , Evgeny Burnaev

Unified image restoration using a single model often faces task interference due to diverse degradations. To address this, we propose DACG-IR (Degradation-Aware Adaptive Context Gating), which enables explicit perception of degradation…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Lei He , Jielei Chu , Fengmao Lv , Weide Liu , Tianrui Li , Jun Cheng , Yuming Fang

This paper considers the decentralized (discrete) optimal transport (D-OT) problem. In this setting, a network of agents seeks to design a transportation plan jointly, where the cost function is the sum of privately held costs for each…

Optimization and Control · Mathematics 2024-09-23 Ivan Lau , Shiqian Ma , César A. Uribe

Optimal Transport (OT) has proven effective for domain adaptation (DA) by aligning distributions across domains with differing statistical properties. Building on the approach of Courty et al. (2016), who mapped source data to the target…

Machine Learning · Statistics 2025-05-15 Brian Britos , Mathias Bourel

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

Machine Learning · Computer Science 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

Reconstructing missing details from degraded low-quality inputs poses a significant challenge. Recent progress in image restoration has demonstrated the efficacy of learning large models capable of addressing various degradations…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Eduard Zamfir , Zongwei Wu , Nancy Mehta , Danda Pani Paudel , Yulun Zhang , Radu Timofte

The goal of optimal transport (OT) is to find optimal assignments or matchings between data sets which minimize the total cost for a given cost function. However, sometimes the cost function is unknown but we have access to (parts of) the…

Optimization and Control · Mathematics 2026-05-28 Alberto González-Sanz , Michel Groppe , Axel Munk

We address the convergence problem in learning the Optimal Transport (OT) map, where the OT Map refers to a map from one distribution to another while minimizing the transport cost. Semi-dual Neural OT, a widely used approach for learning…

Machine Learning · Computer Science 2026-02-03 Jaemoo Choi , Jaewoong Choi , Dohyun Kwon

Entropic optimal transport (EOT) in continuous spaces with quadratic cost is a classical tool for solving the domain translation problem. In practice, recent approaches optimize a weak dual EOT objective depending on a single potential, but…

Machine Learning · Computer Science 2026-02-03 Roman Dyachenko , Nikita Gushchin , Kirill Sokolov , Petr Mokrov , Evgeny Burnaev , Alexander Korotin

Optimal transport has been an essential tool for reconstructing dynamics from complex data. With the increasingly available multifaceted data, a system can often be characterized across multiple spaces. Therefore, it is crucial to maintain…

Optimization and Control · Mathematics 2024-06-06 Zixuan Cang , Yanxiang Zhao

This work aims to tackle the all-in-one image restoration task, which seeks to handle multiple types of degradation with a single model. The primary challenge is to extract degradation representations from the input degraded images and use…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Jie Chu , Tong Su , Pei Liu , Yunpeng Wu , Le Zhang , Zenglin Shi , Meng Wang
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