Unsupervised domain adaptation with exploring more statistics and discriminative information.

Unsupervised domain adaptation aims at transferring knowledge from the labeled source domain to the unlabeled target domain. Previous methods mainly learn a domain-invariant feature transformation, where the cross-domain discrepancy can be reduced. Maximum Mean Discrepancy(MMD) is the most popular statistic to measure domain discrepancy. However, these methods may suffer from two challenges. 1) MMD-based methods only measure the first-order statistic information across domains, while other useful information such as second-order statistic information has been ignored. 2) The classifier trained on the source domain may confuse to distinguish the correct class from a similar class, and the phenomenon is called class confusion. In this paper, we propose a method called \emph{Unsupervised domain adaptation with exploring more statistics and discriminative information}(MSDI), which tackle these two problems in the principle of structural risk minimization. We adopt the recently proposed statistic called MMCD to measure domain discrepancy which can capture both first-order and second-order statistics simultaneously in RKHS. Besides, we proposed to learn more discriminative features to avoid class confusion, where the inner of the classifier predictions with their transposes are used to reflect the confusion relationship between different classes. Moreover, we minimizing source empirical risk and adopt manifold regularization to explore geometry information in the target domain. MSDI learns a domain-invariant classifier in a unified learning framework incorporating the above objectives. We conduct comprehensive experiments on five real-world datasets and the results verify the effectiveness of the proposed method.