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On Localized Discrepancy for Domain Adaptation

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arxiv 2008.06242 v1 pith:NOS3ECNZ submitted 2020-08-14 cs.LG stat.ML

On Localized Discrepancy for Domain Adaptation

classification cs.LG stat.ML
keywords discrepanciesdomaingeneralizationhypothesislocalizedspaceadaptationbounds
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose the discrepancy-based generalization theories for unsupervised domain adaptation. Previous theories introduced distribution discrepancies defined as the supremum over complete hypothesis space. The hypothesis space may contain hypotheses that lead to unnecessary overestimation of the risk bound. This paper studies the localized discrepancies defined on the hypothesis space after localization. First, we show that these discrepancies have desirable properties. They could be significantly smaller than the pervious discrepancies. Their values will be different if we exchange the two domains, thus can reveal asymmetric transfer difficulties. Next, we derive improved generalization bounds with these discrepancies. We show that the discrepancies could influence the rate of the sample complexity. Finally, we further extend the localized discrepancies for achieving super transfer and derive generalization bounds that could be even more sample-efficient on source domain.

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Cited by 4 Pith papers

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