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Escaping Saddle Points Faster with Stochastic Momentum

ICLR 2020 · Optimization › Optimizers · approach: SGD momentum and step-size schedules · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase the momentum parameter βSGD with stochastic heavy-ball momentum · Saddle-point escapeescape iterations: T_thred = O( (1-β) log( 1 / ((1-β)ε) ) ε^{-6} )Helped
Use stochastic heavy-ball momentum instead of standard SGD (β = 0)The two synthetic saddle-point objectives, including phase retrieval · Two constructed stochastic optimization tasksconvergence speedHelped

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