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Estimate Sequences for Variance-Reduced Stochastic Composite Optimization

ICML 2019 · Optimization › Nonconvex and smooth optimization · approach: Stochastic variance reduction · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add acceleration to random-SVRGrandom-SVRG · Strongly convex finite sums without perturbationsgradient evaluations to ε accuracy: O\left( \left(n + \frac{L_Q}{\mu}\right)\log\left(\frac{F(x_0)-F^*}{\varepsilon} \right) \right) -> O\left( \left(n + \sHelped
Use decreasing step sizes instead of a constant step size (ablation)random-SVRG · Finite sums with stochastic perturbationsasymptotic error: \frac{{\color{alizarin} \tilde{\sigma}^2}}{L} -> 0Helped
Use decreasing step sizes instead of a constant step size (ablation)Accelerated random-SVRG · Finite sums with stochastic perturbationsasymptotic error: \frac{{\color{alizarin}\tilde{\sigma}^2}}{\sqrt{n \mu L}+n \mu} -> 0Helped
Add minibatching to accelerated SGD and decrease the step size (ablation)SGD · No DropOut; alpha, gene, and ckn-cifarobjective function valueHelped
Add acceleration to SVRG (ablation)random-SVRG · No DropOut; gene and ckn-cifarobjective function valueHelped
Add acceleration to SVRG (ablation)random-SVRG · No DropOut; alphaobjective function valueNo clear effect
Add acceleration to SVRG (ablation)random-SVRG-d · DropOut; alphaobjective function valueHelped
Add acceleration to SVRG (ablation)random-SVRG-d · DropOut; gene and ckn-cifarobjective function valueNo clear effect
Use accelerated random-SVRG-d instead of SGD approachesoptimization methods · DropOut δ=0.01; alpha, gene, and ckn-cifarobjective function valueHelped
Use accelerated random-SVRG-d instead of SGD approachesoptimization methods · DropOut δ=0.1; alphaobjective function valueHelped
Use accelerated random-SVRG-d instead of SGD approachesoptimization methods · DropOut δ=0.1; gene and ckn-cifarobjective function valueNo clear effect
Increase the perturbation using DropOutaccelerated SVRG · Perturbed finite-sum optimizationobjective function valueHurt

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