A multi-extrapolated momentum stochastic first-order method achieves O-tilde(epsilon^-(3p+1)/p) sample complexity for epsilon-stationarity when the objective's p-th derivative is Lipschitz.
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A stochastic first-order method with multi-extrapolated momentum for highly smooth unconstrained optimization
A multi-extrapolated momentum stochastic first-order method achieves O-tilde(epsilon^-(3p+1)/p) sample complexity for epsilon-stationarity when the objective's p-th derivative is Lipschitz.