Federated Domain Adaptation via Gradient Projection

Federated Domain Adaptation (FDA) describes the federated learning setting where a set of source clients work collaboratively to improve the performance of a target client and where the target client has limited labeled data. The domain shift between the source and target domains, combined with limited samples in the target domain, makes FDA a challenging problem, e.g., common techniques such as FedAvg and fine-tuning fail with a large domain shift. To fill this gap, we propose Federated Gradient Projection ($\texttt{FedGP}$), a novel aggregation rule for FDA, used to aggregate the source gradients and target gradient during training. Further, we introduce metrics that characterize the FDA setting and propose a theoretical framework for analyzing the performance of aggregation rules, which may be of independent interest. Using this framework, we theoretically characterize how, when, and why $\texttt{FedGP}$ works compared to baselines. Our theory suggests certain practical rules that are predictive of practice. Experiments on synthetic and real-world datasets verify the theoretical insights and illustrate the effectiveness of the proposed method in practice.