Research map / Optimization / Nonconvex and smooth optimization
A simpler approach to accelerated optimization: iterative averaging meets optimism
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Anytime online-to-batch iterate averaging (querying gradient at online average) combined with optimistic AO-FTRL dual averaging, tightened analysis keeping negative Bregman terms | Stochastic proximal dual averaging · Smooth non-strongly-convex stochastic optimization | optimization gap E[ℓ(x̄_T)]−ℓ⋆ rate | Helped |
| Negative momentum toward snapshot point added to variance-reduced anytime averaging (ablation) | Variance-reduced accelerated method (Algorithm 3) · Finite-sum smooth non-strongly-convex optimization | convergence rate (last iterate) | Helped |
| Removing negative momentum (no-momentum variant with snapshot = last iterate) (ablation) | Variance-reduced anytime online-to-batch · Finite-sum smooth non-strongly-convex optimization | convergence rate | Hurt |
| Adding Cutkosky-style iterate averaging and optimism together with AdaGrad-style coordinatewise step sizes (universal algorithm) | Universal composite non-strongly-convex algorithm · Smooth and non-smooth composite objectives | convergence rate without knowing smoothness/noise | Helped |
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