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On the Variance of the Adaptive Learning Rate and Beyond

ICLR 2020 · Optimization › Optimizers · approach: Adam convergence and adaptive learning rates · 602 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Rectify adaptive learning-rate variance instead of using heuristic warmupAdam on IWSLT'14 DE-EN · IWSLT'14 DE-ENBLEU: 34.66 ± 0.014 -> 34.76 ± 0.003Helped
Rectify adaptive learning-rate variance instead of using heuristic warmupAdam on IWSLT'14 EN-DE · IWSLT'14 EN-DEBLEU: 28.56 ± 0.067 -> 28.48 ± 0.054Mixed
Rectify adaptive learning-rate variance instead of using heuristic warmupAdam on WMT'16 EN-DE · WMT'16 EN-DEBLEU: 27.03 -> 27.27Helped
Use RAdam rather than Adam with warmupAdam on CIFAR10 · CIFAR10 test setaccuracy: 91.29 -> 91.38No clear effect
Use RAdam rather than Adam with 100 warmup stepsAdam, learning rate 0.1 · CIFAR10 test setaccuracy: 90.13 -> 91.06Helped
Replace RAdam with Adam on the first 4 updates (ablation)RAdam · CIFAR10, learning rate 0.1test accuracy: 91.08 -> 89.98Hurt
Use SGD for the first 4 updates and Adam for updates 5-8 (ablation)RAdam · CIFAR10, learning rate 0.1test accuracy: 91.08 -> 90.29Hurt
Collect 2000 adaptive-rate samples before updating parametersAdam (Adam-2k) · IWSLT'14 German-to-Englishtraining loss: around 10 -> below 3Helped
Increase epsilon to 10^-4Adam-eps · IWSLT'14 German-to-Englishtraining performanceMixed
Use Adam without warmupAdam on IWSLT'14 German-to-English · IWSLT'14 German-to-Englishtraining loss: 3 -> around 10Hurt
Rectify adaptive learning-rate variance instead of vanilla AdamAdam on One Billion Word, CIFAR10, and ImageNet · One Billion Word, CIFAR10, ImageNetperformanceHelped

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