A Generalization Error Bound for Multi-class Domain Generalization

Domain generalization is the problem of assigning labels to an unlabeled data set, given several similar data sets for which labels have been provided. Despite considerable interest in this problem over the last decade, there has been no theoretical analysis in the setting of multi-class classificat...

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Main Authors Deshmukh, Aniket Anand, Lei, Yunwen, Sharma, Srinagesh, Dogan, Urun, Cutler, James W, Scott, Clayton
Format Journal Article
LanguageEnglish
Published 24.05.2019
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Abstract Domain generalization is the problem of assigning labels to an unlabeled data set, given several similar data sets for which labels have been provided. Despite considerable interest in this problem over the last decade, there has been no theoretical analysis in the setting of multi-class classification. In this work, we study a kernel-based learning algorithm and establish a generalization error bound that scales logarithmically in the number of classes, matching state-of-the-art bounds for multi-class classification in the conventional learning setting. We also demonstrate empirically that the proposed algorithm achieves significant performance gains compared to a pooling strategy.
AbstractList Domain generalization is the problem of assigning labels to an unlabeled data set, given several similar data sets for which labels have been provided. Despite considerable interest in this problem over the last decade, there has been no theoretical analysis in the setting of multi-class classification. In this work, we study a kernel-based learning algorithm and establish a generalization error bound that scales logarithmically in the number of classes, matching state-of-the-art bounds for multi-class classification in the conventional learning setting. We also demonstrate empirically that the proposed algorithm achieves significant performance gains compared to a pooling strategy.
Author Sharma, Srinagesh
Dogan, Urun
Cutler, James W
Lei, Yunwen
Deshmukh, Aniket Anand
Scott, Clayton
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BackLink https://doi.org/10.48550/arXiv.1905.10392$$DView paper in arXiv
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Snippet Domain generalization is the problem of assigning labels to an unlabeled data set, given several similar data sets for which labels have been provided. Despite...
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Statistics - Machine Learning
Title A Generalization Error Bound for Multi-class Domain Generalization
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