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SGD: General Analysis and Improved Rates

ICML 2019 · Optimization › Optimizers · approach: SGD momentum and step-size schedules · 35 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
switch from a constant to a decreasing stepsizeSGD with uniform single-element sampling · Ridge regression and regularized logistic regressionrelative errorHelped
switch from a constant to a decreasing stepsizeSGD for PCA · PCArelative errorHelped
use the theoretically optimal minibatch sizeSGD minibatch sampling · Logistic regressionconvergenceHelped
use importance sampling instead of uniform samplingsingle-element and independent-sampling SGD · Logistic regressionconvergenceMixed
increase minibatch size to τ=n/5SGD with τ-nice or τ-independent sampling · PCAconvergenceHelped
use the theoretically optimal minibatch size τ*SGD minibatch sampling · PCAconvergenceHelped
use minibatch sampling instead of single-element samplingSGD · PCAconvergenceHelped

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