Decentralized SGD achieves high-probability convergence with order-optimal rates and linear speedup under standard cost assumptions matching those for MSE convergence.
Breaking the Lower Bound with (Little) Structure: Acceleration in Non-Convex Stochastic Optimization with Heavy-Tailed Noise,
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High-Probability Convergence Guarantees of Decentralized SGD
Decentralized SGD achieves high-probability convergence with order-optimal rates and linear speedup under standard cost assumptions matching those for MSE convergence.