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%2C resilient decentralized learning algorithms are able to limit the impact of these Byzantine agents without knowing their number and identities%2C and have guaranteed optimization errors. However%2C analysis of the generalization errors%2C which are critical to implementations of the trained models%2C is still lacking. In this paper%2C we provide the first analysis of the generalization errors for a class of popular Byzantine-resilient decentralized stochastic gradient descent (DSGD) algorithms. Our theoretical results reveal that the generalization errors cannot be entirely eliminated because of the presence of the Byzantine agents%2C even if the number of training samples are infinitely large. Numerical experiments are conducted to confirm our theoretical results.?quality=80&w=800)
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