首页|Low-Rank Optimal Transport for Robust Domain Adaptation

Low-Rank Optimal Transport for Robust Domain Adaptation

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When encountering the distribution shift between the source(training)and target(test)domains,domain adapta-tion attempts to adjust the classifiers to be capable of dealing with different domains.Previous domain adaptation research has achieved a lot of success both in theory and practice under the assumption that all the examples in the source domain are well-labeled and of high quality.However,the methods consistently lose robustness in noisy settings where data from the source domain have corrupted labels or features which is common in reality.Therefore,robust domain adaptation has been intro-duced to deal with such problems.In this paper,we attempt to solve two interrelated problems with robust domain adaptation:distribution shift across domains and sample noises of the source domain.To disentangle these challenges,an optimal transport approach with low-rank constraints is applied to guide the domain adaptation model training process to avoid noisy infor-mation influence.For the domain shift problem,the optimal transport mechanism can learn the joint data representations between the source and target domains using a measurement of discrepancy and preserve the discriminative information.The rank constraint on the transport matrix can help recover the cor-rupted subspace structures and eliminate the noise to some extent when dealing with corrupted source data.The solution to this relaxed and regularized optimal transport framework is a convex optimization problem that can be solved using the Augmented Lagrange Multiplier method,whose convergence can be mathe-matically proved.The effectiveness of the proposed method is evaluated through extensive experiments on both synthetic and real-world datasets.

Domain adaptationlow-rank constraintnoise cor-ruptionoptimal transport

Bingrong Xu、Jianhua Yin、Cheng Lian、Yixin Su、Zhigang Zeng

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School of Automation,Wuhan University of Technology,Wuhan 430070,China

Intelligent Transportation Systems Research Center,Wuhan University of Technology,Wuhan 430063

Chongqing Research Institute,Wuhan University of Technology,Chongqing,China

School of Artificial Intelligence and Automation,Huazhong University of Science and Technology,Wuhan 430074

Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China,Wuhan 430074,China

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNatural Science Foundation of Hubei Province,ChinaNatural Science Foundation of Chongqing,China

62206204621761932023AFB705CSTB2023NSCQ-MSX0932

2024

自动化学报(英文版)
中国自动化学会,中国科学院自动化研究所,中国科技出版传媒股份有限公司

自动化学报(英文版)

CSTPCDEI
ISSN:2329-9266
年,卷(期):2024.11(7)