This paper presents a novel unsupervised domain adaptation method for
cross-domain visual recognition. We propose a unified framework that reduces
the shift between domains both statistically and geometrically, referred to as
Joint Geometrical and Statistical Alignment (JGSA). Specifically, we learn two
coupled projections that project the source domain and target domain data into
low dimensional subspaces where the geometrical shift and distribution shift
are reduced simultaneously. The objective function can be solved efficiently in
a closed form. Extensive experiments have verified that the proposed method
significantly outperforms several state-of-the-art domain adaptation methods on
a synthetic dataset and three different real world cross-domain visual
recognition tasks.

本文提出一种新的无监督领域自适应方法，称为联合几何和统计对齐（JGSA），可以通过统计和几何学方法同时减少源域和目标域之间的偏差。通过两个耦合投影，将源域和目标域数据投影到一维子空间中，同时减少几何偏移和分布偏移，并且目标函数可以高效地封闭求解。大量实验证明，所提出的方法在合成数据集和三个不同的实际交叉领域视觉识别任务上显著优于若干现有领域适应方法。