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Using Statistics to Automate Stochastic Optimization

NeurIPS 2019 · Optimization › Optimizers · approach: SGD momentum and step-size schedules · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a Markov-chain statistical test that accounts for variance in the stationarity statistic instead of Yaida's deterministic ratio test (ablation)SASA on MNIST logistic regression · MNISTtest accuracy: 93.84% -> 94.08%Helped
Account for correlation in stationarity samples using batch-means variance estimation rather than an i.i.d. variance estimate (ablation)SASA · CIFAR-10 and MNISTrobustness of learning-rate scheduleHelped
Use Yaida's deterministic ratio test without accounting for statistic variance (ablation)SASA on small-batch CIFAR-10 · CIFAR-10robustness of learning-rate scheduleHurt
Vary the SASA drop factor while allowing the learning rate to decay to the same level (ablation)SASA on CIFAR-10 and ImageNet · CIFAR-10 and ImageNetfinal performanceNo clear effect
Increase the equivalence threshold δ (ablation)SASA · CIFAR-10, ImageNet, and MNISTlearning-rate drop timingMixed
Increase the confidence parameter γ (ablation)SASA · CIFAR-10, ImageNet, and MNISTlearning-rate drop timingMixed
Use SASA instead of hand-tuned constant-and-cut SGMMask R-CNN ResNet50 FPN · COCObbox-APHelped
Use SASA instead of hand-tuned constant-and-cut SGMMask R-CNN ResNet50 FPN · COCOtraining iterations to comparable performance: 200000 vs 90000Hurt

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