MapFlow: latent transition via normalizing flow for unsupervised domain adaptation

Abstract

Unsupervised domain adaptation (UDA) aims at enhancing the generalizability of the classification model learned from the labeled source domain to an unlabeled target domain. An established approach to UDA is to constrain the classifier on an intermediate representation that is distributionally invariant across domains. However, recent theoretical and empirical research has revealed that relying only on invariance fails to guarantee a small target error, thus making equality in the distribution of representations unnecessary. In this paper, we propose to relax invariant representation learning by finding a general relationship between the source and target representations, which allows an interchange of the more discriminative domain information. To this end, we formalize the MapFlow framework, which explicitly constructs an invertible mapping between the target encoded distribution and variationally induced source representation. Empirical results on public benchmark datasets show the desirable performance of our proposed algorithm compared to state-of-the-art methods.