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Epsilon-stationary point finding on Non-convex Stochastic Optimization Average Smoothness Assumption

1Convergence RateAdaFom
0.950.97511.025Mar 10, 2026

Evaluation results

MethodLinks
AdaFomLipschitz Free=✘, 1st Moment Estimate (αt)=Const, 2nd Moment Estimate (βt)=Open, Stepsize (γt)=Open, Additional Assumptions=BG2026.031
Practical AdamLipschitz Free=✘, 1st Moment Estimate (αt)=Open, 2nd Moment Estimate (βt)=Const, Stepsize (γt)=Open, Additional Assumptions=BG, αt > β22026.031
SuperADAM-ALipschitz Free=✘, 1st Moment Estimate (αt)=Const, 2nd Moment Estimate (βt)=—, Stepsize (γt)=Open, Additional Assumptions=BH2026.031
Vanilla AdamLipschitz Free=✘, 1st Moment Estimate (αt)=Open, 2nd Moment Estimate (βt)=Const, Stepsize (γt)=Open, Additional Assumptions=BG, αt ≤ √β2026.031
AdaGrad-NormLipschitz Free=✔, 1st Moment Estimate (αt)=—, 2nd Moment Estimate (βt)=—, Stepsize (γt)=Ada, Additional Assumptions=BG2026.031
OptEMA-MLipschitz Free=✔, 1st Moment Estimate (αt)=Ada, 2nd Moment Estimate (βt)=Const, Stepsize (γt)=Ada, Additional Assumptions=—2026.031
OptEMA-VLipschitz Free=✔, 1st Moment Estimate (αt)=Const, 2nd Moment Estimate (βt)=Ada, Stepsize (γt)=Ada, Additional Assumptions=—2026.031