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Optimal Transport (OT) has established itself as a robust framework for quantifying differences between distributions, with applications that span fields such as machine learning, data science, and computer vision. This paper offers a…

Data Structures and Algorithms · Computer Science 2025-01-14 Sina Moradi

It is common in computer vision to be confronted with domain shift: images which have the same class but different acquisition conditions. In domain adaptation (DA), one wants to classify unlabeled target images using source labeled images.…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Kilian Fatras , Hiroki Naganuma , Ioannis Mitliagkas

We present a 2-step optimal transport approach that performs a mapping from a source distribution to a target distribution. Here, the target has the particularity to present new classes not present in the source domain. The first step of…

Machine Learning · Computer Science 2020-10-05 Marwa Kechaou , Romain Hérault , Mokhtar Z. Alaya , Gilles Gasso

Graph Domain Adaptation (GDA) aims to transfer graph classifiers across domains with both semantic and topological shifts. Existing Euclidean adversarial methods face two challenges: Structural Degeneration, where domain confusion entangles…

Machine Learning · Computer Science 2026-05-08 Yingxu Wang , Xinwang Liu , Mengzhu Wang , Siyang Gao , Nan Yin

Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework…

Machine Learning · Computer Science 2019-06-26 Yujia Xie , Minshuo Chen , Haoming Jiang , Tuo Zhao , Hongyuan Zha

The objective in statistical Optimal Transport (OT) is to consistently estimate the optimal transport plan/map solely using samples from the given source and target marginal distributions. This work takes the novel approach of posing…

Machine Learning · Computer Science 2020-11-11 J. Saketha Nath , Pratik Jawanpuria

This paper addresses the domain shift problem for segmentation. As a solution, we propose OLVA, a novel and lightweight unsupervised domain adaptation method based on a Variational Auto-Encoder (VAE) and Optimal Transport (OT) theory.…

Machine Learning · Computer Science 2021-06-16 Dawood Al Chanti , Diana Mateus

We present a novel algorithm for domain adaptation using optimal transport. In domain adaptation, the goal is to adapt a classifier trained on the source domain samples to the target domain. In our method, we use optimal transport to map…

Machine Learning · Computer Science 2022-06-07 Arip Asadulaev , Vitaly Shutov , Alexander Korotin , Alexander Panfilov , Andrey Filchenkov

In this article we explore an algorithm for diffeomorphic random sampling of nonuniform probability distributions on Riemannian manifolds. The algorithm is based on optimal information transport (OIT)---an analogue of optimal mass transport…

Numerical Analysis · Mathematics 2018-07-20 Martin Bauer , Sarang Joshi , Klas Modin

Universal domain adaptation (UniDA) aims to transfer knowledge from a labeled source domain to an unlabeled target domain without requiring the same label sets of both domains. The existence of domain and category shift makes the task…

Computer Vision and Pattern Recognition · Computer Science 2024-08-05 Yucheng Yang , Xiang Gu , Jian Sun

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

In this paper, we propose a new strategy for learning inertial robotic navigation models. The proposed strategy enhances the generalisability of end-to-end inertial modelling, and is aimed at wheeled robotic deployments. Concretely, the…

Machine Learning · Computer Science 2021-09-21 Mohammed Alloulah , Maximilian Arnold , Anton Isopoussu

Domain adaptation techniques address the problem of reducing the sensitivity of machine learning methods to the so-called domain shift, namely the difference between source (training) and target (test) data distributions. In particular,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Pietro Morerio , Vittorio Murino

It is expensive and time-consuming to collect sufficient labeled data for human activity recognition (HAR). Domain adaptation is a promising approach for cross-domain activity recognition. Existing methods mainly focus on adapting…

Signal Processing · Electrical Eng. & Systems 2021-09-17 Wang Lu , Yiqiang Chen , Jindong Wang , Xin Qin

Deep topological data analysis (TDA) offers a principled framework for capturing structural invariants such as connectivity and cycles that persist across scales, making it a natural fit for anomaly segmentation (AS). Unlike thresholdbased…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Ali Zia , Usman Ali , Umer Ramzan , Abdul Rehman , Abdelwahed Khamis , Wei Xiang

Domain adaptation is commonly employed in crowd counting to bridge the domain gaps between different datasets. However, existing domain adaptation methods tend to focus on inter-dataset differences while overlooking the intra-differences…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Huilin Zhu , Jingling Yuan , Xian Zhong , Zhengwei Yang , Zheng Wang , Shengfeng He

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

Domain adaptation arises as an important problem in statistical learning theory when the data-generating processes differ between training and test samples, respectively called source and target domains. Recent theoretical advances show…

Machine Learning · Statistics 2022-10-25 Mourad El Hamri , Younès Bennani , Issam Falih

This thesis examines self-attention training through the lens of Optimal Transport (OT) and develops an OT-based alternative for tabular classification. The study tracks intermediate projections of the self-attention layer during training…

Machine Learning · Statistics 2026-02-19 Alessandro Quadrio , Antonio Candelieri

Partial domain adaptation (PDA) problem requires aligning cross-domain samples while distinguishing the outlier classes for accurate knowledge transfer. The widely used weighting framework tries to address the outlier classes by introducing…

Machine Learning · Computer Science 2025-06-11 Zi-Ying Chen , Chuan-Xian Ren , Hong Yan