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Fast Variance Reduction Method with Stochastic Batch Size

ICML 2018 · 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
Use SAGA++'s mixture of full-gradient and single-sample updates instead of SAGA or SVRGVariance-reduced solvers for ℓ1-regularized logistic regression · kddb, avazu, and criteorunning timeHelped
Use SAGA++ instead of SAGA or SVRGℓ1-regularized logistic regression · kddb, varying regularization parametersrunning timeHelped
Choose batch size 1 at every step instead of a larger average batch (ablation)Stochastic-batch variance reduction framework · Strongly convex finite-sum optimizationconvergence rate per data accessHelped
Account for cache and disk I/O by mixing full-gradient and single-sample updatesSAGA++ · ℓ1-regularized logistic regression on kddb, avazu, and criteorunning timeHelped
Keep control variates updated during single-sample steps rather than leaving snapshots stale between full-gradient steps (ablation)SAGA++ compared with SVRG-style updates · Variance-reduced optimizationconvergence rateHelped
Apply lazy updates for ℓ1 regularization (ablation)SAGA, SVRG, and SAGA++ · Sparse-data optimizationrunning timeHelped
Use SAGA rather than SVRG (ablation)Variance-reduced solvers · Experiments on the paper's datasetsrunning timeHurt
Use only stochastic updates rather than including sequential full-gradient access (ablation)Variance-reduced solvers · Experiments on the paper's datasetsrunning timeHurt
Avoid lazy updates (ablation)Variance-reduced methods for ℓ1 regularization · Sparse-data optimizationrunning timeHurt

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