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Stochastic Optimization with Variance Reduction for Infinite Datasets with Finite Sum Structure

NeurIPS 2017 · Optimization › Nonconvex and smooth optimization · approach: Stochastic variance reduction · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use S-MISO variance reduction instead of SGDStrongly convex stochastic finite-sum optimization · Strongly convex stochastic finite-sum objectiveiteration complexity: SGD: O\left(\frac{L}{\mu} \log \frac{1}{\bar{\epsilon}} ~~+~~ \frac{\sigtot^2}{\mu \epsilon}\right); S-MISO: O\left(\lefHelped
Replace SGD with S-MISOSTL-10 image classification with random crop and scaling · STL-10 training foldtraining objective suboptimalityHelped
Replace SGD and other compared methods with S-MISOPretrained ResNet-50 last-layer retraining with random color adjustments · ImageNet-derived 100-image binary classification tasktraining objective suboptimalityHelped
Use S-MISO instead of SGD with DropoutBreast cancer gene-expression classification · Gene expression datatraining objective suboptimalityHelped
Use S-MISO-NU instead of uniform-sampling methodsIMDB sentiment classification with Dropout · IMDB labeled dataconvergence rateHelped
Add Dropout with δ = 0.1S-MISO-NU sentiment classifier · IMDB test settest accuracy: 88.51% -> 88.68 ± 0.03%Helped
Add Dropout with δ = 0.3S-MISO-NU sentiment classifier · IMDB test settest accuracy: 88.51% -> 88.86 ± 0.11%Helped
Use iterate averaging (ablation)S-MISO · Strongly convex stochastic finite-sum objectivefunction-value complexity: O(L σp² / μ² ε) -> O(σp² / μ ε)Helped
Use non-uniform sampling based on example smoothness (ablation)S-MISO on heterogeneous examples · IMDB labeled datainitial convergence rateHelped
Increase Dropout rate (ablation)S-MISO · Gene-expression classificationtraining objective suboptimalityHurt
Use N-SAGA instead of S-MISOSTL-10 image classification with augmentation · STL-10 training foldtraining objective suboptimalityHurt

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