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A simpler approach to accelerated optimization: iterative averaging meets optimism

ICML 2020 · Optimization › Nonconvex and smooth optimization · approach: Proximal finite-sum methods · 7 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Anytime online-to-batch iterate averaging (querying gradient at online average) combined with optimistic AO-FTRL dual averaging, tightened analysis keeping negative Bregman termsStochastic proximal dual averaging · Smooth non-strongly-convex stochastic optimizationoptimization gap E[ℓ(x̄_T)]−ℓ⋆ rateHelped
Negative momentum toward snapshot point added to variance-reduced anytime averaging (ablation)Variance-reduced accelerated method (Algorithm 3) · Finite-sum smooth non-strongly-convex optimizationconvergence 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 optimizationconvergence rateHurt
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 objectivesconvergence rate without knowing smoothness/noiseHelped

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