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In this paper, we address the problem of Domain Adaptation (DA) using Optimal Transport (OT) on Riemannian manifolds. We model the difference between two domains by a diffeomorphism and use the polar factorization theorem to claim that OT…

Machine Learning · Computer Science 2020-07-28 Or Yair , Felix Dietrich , Ronen Talmon , Ioannis G. Kevrekidis

Domain adaptation aims to transfer knowledge of labeled instances obtained from a source domain to a target domain to fill the gap between the domains. Most domain adaptation methods assume that the source and target domains have the same…

Machine Learning · Computer Science 2022-09-13 Toshimitsu Aritake , Hideitsu Hino

Domain adaptation from one data space (or domain) to another is one of the most challenging tasks of modern data analytics. If the adaptation is done correctly, models built on a specific data space become more robust when confronted to…

Machine Learning · Computer Science 2016-06-23 Nicolas Courty , Rémi Flamary , Devis Tuia , Alain Rakotomamonjy

Optimal Transport (OT) distances such as Wasserstein have been used in several areas such as GANs and domain adaptation. OT, however, is very sensitive to outliers (samples with large noise) in the data since in its objective function,…

Machine Learning · Computer Science 2020-10-13 Yogesh Balaji , Rama Chellappa , Soheil Feizi

Domain shift poses a significant challenge in cross-domain spoken language recognition (SLR) by reducing its effectiveness. Unsupervised domain adaptation (UDA) algorithms have been explored to address domain shifts in SLR without relying…

Audio and Speech Processing · Electrical Eng. & Systems 2023-10-23 Xugang Lu , Peng Shen , Yu Tsao , Hisashi Kawai

In this paper, we propose to tackle the problem of reducing discrepancies between multiple domains referred to as multi-source domain adaptation and consider it under the target shift assumption: in all domains we aim to solve a…

Machine Learning · Statistics 2019-03-15 Ievgen Redko , Nicolas Courty , Rémi Flamary , Devis Tuia

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

This paper deals with the unsupervised domain adaptation problem, where one wants to estimate a prediction function $f$ in a given target domain without any labeled sample by exploiting the knowledge available from a source domain where…

Machine Learning · Statistics 2017-10-24 Nicolas Courty , Rémi Flamary , Amaury Habrard , Alain Rakotomamonjy

Unsupervised domain adaptation (UDA) aims to transfer knowledge from a labeled source domain to an unlabeled target domain. In this paper, we introduce a novel approach called class-aware optimal transport (OT), which measures the OT…

Machine Learning · Computer Science 2024-01-30 Tuan Nguyen , Van Nguyen , Trung Le , He Zhao , Quan Hung Tran , Dinh Phung

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

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

Optimal transport (OT) is a widely used technique for distribution alignment, with applications throughout the machine learning, graphics, and vision communities. Without any additional structural assumptions on trans-port, however, OT can…

Machine Learning · Computer Science 2021-07-20 Chi-Heng Lin , Mehdi Azabou , Eva L. Dyer

Scene segmentation is widely used in the field of autonomous driving for environment perception, and semantic scene segmentation (3S) has received a great deal of attention due to the richness of the semantic information it contains. It…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Yaqian Guo , Xin Wang , Ce Li , Shihui Ying

Unsupervised domain adaptation is one of the challenging problems in computer vision. This paper presents a novel approach to unsupervised domain adaptations based on the optimal transport-based distance. Our approach allows aligning target…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Thanh-Dat Truong , Naga Venkata Sai Raviteja Chappa , Xuan Bac Nguyen , Ngan Le , Ashley Dowling , Khoa Luu

Domain adaptation (DA) is an important and emerging field of machine learning that tackles the problem occurring when the distributions of training (source domain) and test (target domain) data are similar but different. Current theoretical…

Machine Learning · Statistics 2017-08-01 Ievgen Redko , Amaury Habrard , Marc Sebban

Visual domain adaptation aims to learn discriminative and domain-invariant representation for an unlabeled target domain by leveraging knowledge from a labeled source domain. Partial domain adaptation (PDA) is a general and practical…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yi-Ming Zhai , Chuan-Xian Ren , Hong Yan

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

Computing optimal transport (OT) for general high-dimensional data has been a long-standing challenge. Despite much progress, most of the efforts including neural network methods have been focused on the static formulation of the OT…

Machine Learning · Statistics 2025-03-12 Chen Xu , Xiuyuan Cheng , Yao Xie

In this paper, we address the problem of unsupervised Domain Adaptation. The need for such an adaptation arises when the distribution of the target data differs from that which is used to develop the model and the ground truth information…

Machine Learning · Computer Science 2022-10-04 Siddharth Roheda , Ashkan Panahi , Hamid Krim

Optimal transport (OT) is attracting increasing attention in machine learning. It aims to transport a source distribution to a target one at minimal cost. In its vanilla form, the source and target distributions are predetermined, which…

Machine Learning · Computer Science 2024-01-23 Liangliang Shi , Zhaoqi Shen , Junchi Yan
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