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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

Optimal Transport has recently gained interest in machine learning for applications ranging from domain adaptation, sentence similarities to deep learning. Yet, its ability to capture frequently occurring structure beyond the "ground…

Machine Learning · Statistics 2017-12-19 David Alvarez-Melis , Tommi S. Jaakkola , Stefanie Jegelka

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

Creating accurate spatial representations that take into account uncertainty is critical for autonomous robots to safely navigate in unstructured environments. Although recent LIDAR based mapping techniques can produce robust occupancy…

Computer Vision and Pattern Recognition · Computer Science 2020-07-02 Anthony Tompkins , Ransalu Senanayake , Fabio Ramos

Optimal Transport (OT) offers a powerful framework for finding correspondences between distributions and addressing matching and alignment problems in various areas of computer vision, including shape analysis, image generation, and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Xinran Liu , Elaheh Akbari , Rocio Diaz Martin , Navid NaderiAlizadeh , Soheil Kolouri

In many applications of optimal transport (OT), the object of primary interest is the optimal transport map. This map rearranges mass from one probability distribution to another in the most efficient way possible by minimizing a specified…

Statistics Theory · Mathematics 2025-06-25 Sivaraman Balakrishnan , Tudor Manole , Larry Wasserman

Optimal transport distances have found many applications in machine learning for their capacity to compare non-parametric probability distributions. Yet their algorithmic complexity generally prevents their direct use on large scale…

Machine Learning · Computer Science 2021-03-08 Kilian Fatras , Thibault Séjourné , Nicolas Courty , Rémi Flamary

We present a flow-based approach to the optimal transport (OT) problem between two continuous distributions $\pi_0,\pi_1$ on $\mathbb{R}^d$, of minimizing a transport cost $\mathbb{E}[c(X_1-X_0)]$ in the set of couplings $(X_0,X_1)$ whose…

Machine Learning · Statistics 2022-09-30 Qiang Liu

Recent studies have proposed different methods to improve multilingual word representations in contextualized settings including techniques that align between source and target embedding spaces. For contextualized embeddings, alignment…

Computation and Language · Computer Science 2026-03-20 Sawsan Alqahtani , Garima Lalwani , Yi Zhang , Salvatore Romeo , Saab Mansour

Domain adaptation (DA) is transfer learning which aims to learn an effective predictor on target data from source data despite data distribution mismatch between source and target. We present in this paper a novel unsupervised DA method for…

Computer Vision and Pattern Recognition · Computer Science 2018-02-23 Lingkun Luo , Liming Chen , Ying lu , Shiqiang Hu

Machine learning algorithms typically assume that the training and test samples come from the same distributions, i.e., in-distribution. However, in open-world scenarios, streaming big data can be Out-Of-Distribution (OOD), rendering these…

Machine Learning · Computer Science 2022-11-10 Anique Tahir , Lu Cheng , Ruocheng Guo , Huan Liu

Optimal transport (OT) is a widely used technique in machine learning, graphics, and vision that aligns two distributions or datasets using their relative geometry. In symmetry-rich settings, however, OT alignments based solely on pairwise…

Machine Learning · Computer Science 2025-09-26 Annabel Ma , Kaiying Hou , David Alvarez-Melis , Melanie Weber

We propose novel fast algorithms for optimal transport (OT) utilizing a cyclic symmetry structure of input data. Such OT with cyclic symmetry appears universally in various real-world examples: image processing, urban planning, and graph…

Machine Learning · Computer Science 2023-11-23 Shoichiro Takeda , Yasunori Akagi , Naoki Marumo , Kenta Niwa

Optimal transport (OT) has become exceedingly popular in machine learning, data science, and computer vision. The core assumption in the OT problem is the equal total amount of mass in source and target measures, which limits its…

Machine Learning · Computer Science 2023-08-08 Yikun Bai , Berhnard Schmitzer , Mathew Thorpe , Soheil Kolouri

Regularized optimal transport (OT) is now increasingly used as a loss or as a matching layer in neural networks. Entropy-regularized OT can be computed using the Sinkhorn algorithm but it leads to fully-dense transportation plans, meaning…

Machine Learning · Statistics 2023-04-17 Tianlin Liu , Joan Puigcerver , Mathieu Blondel

We present a novel instance-based approach to handle regression tasks in the context of supervised domain adaptation under an assumption of covariate shift. The approach developed in this paper is based on the assumption that the task on…

Machine Learning · Computer Science 2021-09-16 Antoine de Mathelin , Guillaume Richard , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Gradual domain adaptation (GDA) aims to mitigate domain shift by progressively adapting models from the source domain to the target domain via intermediate domains. However, real intermediate domains are often unavailable or ineffective,…

Machine Learning · Computer Science 2026-02-03 Zhichao Chen , Zhan Zhuang , Yunfei Teng , Hao Wang , Fangyikang Wang , Zhengnan Li , Tianqiao Liu , Haoxuan Li , Zhouchen Lin

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

Current machine learning systems are brittle in the face of distribution shifts (DS), where the target distribution that the system is tested on differs from the source distribution used to train the system. This problem of robustness to DS…

Machine Learning · Computer Science 2025-03-12 Okan Koç , Alexander Soen , Chao-Kai Chiang , Masashi Sugiyama

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
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