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Stochastic Three-Composite Convex Minimization

NeurIPS 2016 · Optimization › Nonconvex and smooth optimization · approach: Adaptive first-order convex methods · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use stochastic gradient of smooth term with proximal operators of the two nonsmooth terms (S3CM) instead of deterministic three-operator splittingMarkowitz portfolio optimization · DJIA, NYSE, SP500, TSE, FF100 portfolio datasetstest objective convergence vs. deterministic 3-operator splittingNo clear effect
Stochastic gradient estimate with learning rate gamma_n = gamma0/(n+1) on SVM dualNonlinear SVM classification (a1a) · a1asquared relative errorHelped
Stochastic gradient estimate on the smooth term with Theorem 2 learning rateMarkowitz portfolio optimization (FF100) · FF100squared relative distance to optimumHelped

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