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SP-CACW: Convergence-Aware Client Weighting for Selfish Personalized Learning
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Proposes SP-CACW, a selfish federated learning method where a target client sets peer aggregation weights online by minimizing an upper bound on its convergence error (bias-variance tradeoff), using EMA bias estimates and FTAL, evaluated on MNIST, CIFAR-100 and LEAF Shakespeare.
Problem
Standard federated learning optimizes a global average that underperforms for individual clients; a target client needs to use peer gradients to minimize its own risk while avoiding negative transfer from biased peers.
Approach
Choose per-round aggregation weights over the simplex by minimizing a convergence-derived proxy cost that trades off squared gradient bias (estimated via EMA of gradient differences) against weighted variance; weights are updated online with Follow-The-Approximate-Leader, yielding sparse weights that can zero out harmful peers.
Key results
- SP-CACW reaches 94.85% on MNIST relabel vs 95.31% Oracle and about 92.36% best baseline (Local-only); FedDisco best on CIFAR-100 sigma=10 at 54.03% vs SP-CACW 52.23%.
- On LEAF Shakespeare n=15, SP-CACW achieves 53.64% vs Fed Cluster 53.40%, close margins.
- Theory claims a cluster-setting rate of O(sigma/sqrt(n0 T)) improving over Autarky by sqrt(n0), but the appendix derivation relies on a candidate-weight comparison and a stated FTAL regret term.
Surprising findings
- FedDisco outperforms SP-CACW on CIFAR-100 sigma=10 (54.03 vs 52.23) and on MNIST rotation-related and CIFAR settings, contrary to the claim of consistent top-three placement.
- Local-only training (Only My Data) is the strongest baseline on MNIST rotation (85.24%), beating FedAMP, Ditto and Federated Clustering.
Limitations
- Theory assumes stationary biases and smoothness/bounded-variance; practical experiments use a constant smoothing beta with no guarantee.
- Full communication with all peers assumed in the main formulation; partial participation deferred to appendix.
- Reported gains over baselines are often within one standard deviation; some claims (e.g. 'consistently top three') are not supported by the table.
Experimental setup
Datasets: MNIST CIFAR-100 LEAF Shakespeare
Benchmarks: MNIST label-switching MNIST rotation CIFAR-100 sigma=10 CIFAR-100 sigma=0.01 LEAF Shakespeare n=15 m=7 LEAF Shakespeare n=30 m=3
Metrics: mean test accuracy over five seeds
Baselines: FedAMP Federated Clustering Ditto FedDisco Local-only training Oracle
Builds on: FTAL (online exp-concave optimization) Ditto FedAMP FedDisco Federated Clustering
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