Title: Distributionally Robust Learning for Unsupervised Domain Adaptation. Abstract: We propose a  distributionally robust learning (DRL) method for unsupervised domain adaptation (UDA)  that scales to modern computer-vision benchmarks.  DRL can be naturally formulated as a competitive two-player game between a predictor and an adversary that is allowed to   corrupt the labels, subject to certain constraints, and reduces to incorporating  a density ratio between the source and target domains (under the standard log loss).  This formulation motivates the use of two neural networks that are jointly trained --- a discriminative network between the source and target domains  for density-ratio estimation, in addition to the standard classification network. The use of a density ratio in DRL prevents the model from being overconfident on target inputs far away from the source domain. Thus,  DRL   provides conservative confidence estimation in the target domain, even when the target labels are not available. This conservatism motivates the use of DRL in  self-training for sample selection, and we term the approach distributionally robust self-training (DRST). In our experiments, DRST generates more calibrated  probabilities and achieves state-of-the-art self-training accuracy on benchmark datasets. We demonstrate that DRST captures  shape features more effectively, and reduces the extent of distributional shift during self-training. 