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Optimal Mini-Batch and Step Sizes for SAGA

ICML 2019 · Optimization › Optimizers · approach: SGD momentum and step-size schedules · 17 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the practical expected-smoothness estimate to choose the SAGA step size and mini-batch sizeb-nice SAGA · LIBSVM and UCI datasetsempirical total complexityHelped
Use the practical step size and mini-batch size instead of the Hofmann settings with b=20b-nice SAGA · Ridge regression and regularized logistic regression datasetsempirical performanceHelped
Choose the practical mini-batch size instead of the grid-search mini-batch sizeb-nice SAGA · Ridge regression, unscaled slice datasetempirical total complexityNo clear effect
Increase the mini-batch size up to the predicted optimal sizeb-nice SAGA · Strongly convex GLMstotal complexityHelped
Increase the mini-batch size beyond the predicted optimal sizeb-nice SAGA · Strongly convex GLMstotal complexityHurt
Use the practical expected-smoothness estimate instead of the exact expected-smoothness constant (ablation)b-nice SAGA · Artificial ridge-regression datasetsexpected smoothnessNo clear effect
Use the simple bound instead of the Bernstein bound (ablation)b-nice SAGA · Datasets with n much greater than dexpected-smoothness bound tightnessHelped
Use the Bernstein bound instead of the simple bound (ablation)b-nice SAGA · Datasets with d close to or greater than n, or scaled dataexpected-smoothness bound tightnessHelped
Use the practical step size instead of the Hofmann step size for mini-batches larger than 5 (ablation)b-nice SAGA · Artificial and real datasetsstep sizeHelped

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