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Research map / Optimization / Nonconvex and smooth optimization

Nonlinear Acceleration of Stochastic Algorithms

NeurIPS 2017 · Optimization › Nonconvex and smooth optimization · approach: Stochastic variance reduction · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply regularized nonlinear acceleration (RNA) to k=10 SGD iterates with restartsSGD on least squares · Synthetic least squares, d=500f(x)-f(x*) at early iterationsHelped
Apply RNA to SGD iteratesSGD on least squares · Synthetic least squares, high noiseasymptotic convergenceNo clear effect
Apply RNA to SGD iteratesSGD on finite-sum problem (Sido0) · Sido0 bad conditioningconvergence to optimumNo clear effect
Apply RNA to Katyusha iteratesKatyusha · Finite sums, Sido0 bad conditioningconvergence speedNo clear effect
Apply RNA to SAGA and SVRG iteratesSAGA, SVRG · Finite sums, Sido0 bad conditioningconvergence speedMixed
Wait several data passes (about N queries) before adding a snapshot to the RNA sequenceRNA on finite-sum methods · Finite sumsextrapolation costNo clear effect

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