Fed-GLOSS-DP: Federated, Global Learning using Synthetic Sets with Record Level Differential Privacy

This work proposes Fed-GLOSS-DP, a novel approach to privacy-preserving learning that uses synthetic data to train federated models. In our approach, the server recovers an approximation of the global loss landscape in a local neighborhood based on synthetic samples received from the clients. In contrast to previous, point-wise, gradient-based, linear approximation (such as FedAvg), our formulation enables a type of global optimization that is particularly beneficial in non-IID federated settings. We also present how it rigorously complements record-level differential privacy. Extensive results show that our novel formulation gives rise to considerable improvements in terms of convergence speed and communication costs. We argue that our new approach to federated learning can provide a potential path toward reconciling privacy and accountability by sending differentially private, synthetic data instead of gradient updates. The source code will be released upon publication.