For decentralized secure aggregation with at least U surviving users and at most T colluders, the optimal two-round rates are R1 ≥ 1 and R2 ≥ 1/(U-T-1) when U > T+1, and the task is impossible otherwise.
Turbo-Aggregate: Breaking the Quadratic Aggregation Barrier in Secure Federated Learning,
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Information-Theoretic Decentralized Secure Aggregation with User Dropouts
For decentralized secure aggregation with at least U surviving users and at most T colluders, the optimal two-round rates are R1 ≥ 1 and R2 ≥ 1/(U-T-1) when U > T+1, and the task is impossible otherwise.