Title: Learning Binary Networks on Long-Tailed Distributions. Abstract: In deploying deep models to real world scenarios, there are a number of issues including computational resource constraints and long-tailed data distributions. For the first time in the literature, we address the combined challenge of learning long-tailed distributions under the extreme resource constraints of using binary networks as backbones. Specifically, we propose a framework of calibrating off-the-shelf pretrained full precision weights that are learned on $\textit{non-long-tailed}$ distributions when training binary networks on long-tailed datasets. In the framework, we additionally propose a novel adversarial balancing and a multi-resolution learning method for better generalization to diverse semantic domains and input resolutions. We conduct extensive empirical evaluations on 15 datasets including newly derived long-tailed datasets from existing balanced datasets, which is the largest benchmark in the literature. Our empirical studies show that our proposed method outperforms prior arts by large margins, $\textit{e.g.}$, at least $+14.33\%$ on average.