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On Large-Batch Training for Deep Learning: Generalization Gap and Sharp Minima

ICLR 2017 · Optimization › Implicit bias and generalization · approach: SGD noise and flat minima · 547 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use large batches instead of batch size 256ADAM · MNIST, TIMIT, CIFAR-10, and CIFAR-100testing accuracy: 98.03% ± 0.07% -> 97.81% ± 0.07%; 64.02% ± 0.2% -> 59.45% ± 1.05%; 80.04% ± 0.12% -> 77.26% ± 0.42%; 89.24% ± 0.12% -> 8Hurt
Use large-batch rather than small-batch trainingADAM · F1, F2, C1, C2, C3, and C4 sharpnesssharpness (full space, epsilon=10^{-3}): 1.23 ± 0.83 -> 205.14 ± 69.52; 1.39 ± 0.02 -> 310.64 ± 38.46; 28.58 ± 3.13 -> 707.23 ± 43.04; 8.68 ± 1.32 -> 925.32 ± 38Hurt
Add data augmentation (ablation)Large-batch ADAM · CIFAR-10 and CIFAR-100testing accuracy: C1: 80.04% ± 0.12% -> 82.50% ± 0.67%; C2: 89.24% ± 0.12% -> 90.26% ± 1.15%; C3: 49.58% ± 0.39% -> 53.03% ± 0.33%; C4: 63Mixed
Add conservative proximal training (ablation)Large-batch ADAM · MNIST, TIMIT, CIFAR-10, and CIFAR-100testing accuracy: F1: 98.03% ± 0.07% -> 98.12% ± 0.01%; F2: 64.02% ± 0.2% -> 61.94% ± 1.10%; C1: 80.04% ± 0.12% -> 78.41% ± 0.22%; C2: 89.Mixed
Add adversarial training (ablation)Large-batch training · Experiments in the papertesting accuracyNo clear effect
Add stability training (ablation)Large-batch training · Experiments in the papertesting accuracyNo clear effect
Warm-start large-batch training with sufficiently many small-batch epochs (ablation)ADAM on F2 and C1 · TIMIT and CIFAR-10testing accuracyHelped
Warm-start large-batch training with only a few small-batch epochs (ablation)ADAM on F2 and C1 · TIMIT and CIFAR-10testing accuracyNo clear effect
Increase batch size beyond the observed threshold (ablation)ADAM on F2 and C1 · TIMIT and CIFAR-10testing accuracyHurt

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