As distributed learning applications such as Federated Learning, the Internet of Things (IoT), and Edge Computing grow, it is critical to address the shortcomings of such technologies from a theoretical perspective. As an abstraction, we consider decentralized learning over a network of communicating clients or nodes and tackle two major challenges: data heterogeneity and adversarial robustness. We propose a decentralized minimax optimization method that employs two important modules: local updates and gradient tracking. Minimax optimization is the key tool to enable adversarial training for ensuring robustness. Having local updates is essential in Federated Learning (FL) applications to mitigate the communication bottleneck, and utilizing gradient tracking is essential to proving convergence in the case of data heterogeneity. We analyze the performance of the proposed algorithm, Dec-FedTrack, in the case of nonconvex-strongly concave minimax optimization, and prove that it converges a stationary point. We also conduct numerical experiments to support our theoretical findings.

我们提出了一种分散的极小极大优化方法，利用局部更新和梯度跟踪两个重要模块，用于解决分布式学习中的数据异质性和对抗鲁棒性的挑战，并分析了算法Dec-FedTrack在非凸-强凹极小极大优化情况下的性能，证明其收敛于一个稳定点。同时进行数值实验以支持我们的理论发现。

具有本地更新和梯度跟踪的强健分布式学习