LGDCJan 4

Communication-Efficient Federated AUC Maximization with Cyclic Client Participation

arXiv:2601.01649v1Trans. Mach. Learn. Res.
Originality Highly original
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This addresses communication efficiency for federated learning with imbalanced data when clients participate cyclically, representing a strong incremental improvement over existing methods.

This paper tackles federated AUC maximization under cyclic client participation, establishing state-of-the-art communication complexities of Õ(1/ε^{1/2}) for squared surrogate loss and O(1/ε^3) for general pairwise losses, with experiments showing superior efficiency on benchmark tasks.

Federated AUC maximization is a powerful approach for learning from imbalanced data in federated learning (FL). However, existing methods typically assume full client availability, which is rarely practical. In real-world FL systems, clients often participate in a cyclic manner: joining training according to a fixed, repeating schedule. This setting poses unique optimization challenges for the non-decomposable AUC objective. This paper addresses these challenges by developing and analyzing communication-efficient algorithms for federated AUC maximization under cyclic client participation. We investigate two key settings: First, we study AUC maximization with a squared surrogate loss, which reformulates the problem as a nonconvex-strongly-concave minimax optimization. By leveraging the Polyak-Łojasiewicz (PL) condition, we establish a state-of-the-art communication complexity of $\widetilde{O}(1/ε^{1/2})$ and iteration complexity of $\widetilde{O}(1/ε)$. Second, we consider general pairwise AUC losses. We establish a communication complexity of $O(1/ε^3)$ and an iteration complexity of $O(1/ε^4)$. Further, under the PL condition, these bounds improve to communication complexity of $\widetilde{O}(1/ε^{1/2})$ and iteration complexity of $\widetilde{O}(1/ε)$. Extensive experiments on benchmark tasks in image classification, medical imaging, and fraud detection demonstrate the superior efficiency and effectiveness of our proposed methods.

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