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Train longer, generalize better: closing the generalization gap in large batch training of neural networks

NeurIPS 2017 · Optimization › Implicit bias and generalization · approach: Stability-based generalization analysis · 399 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
scale the learning rate with the square root of batch size (ablation)large-batch training · CIFAR-10 (Resnet44)validation accuracy: 86.10% -> 89.30%Helped
add Ghost Batch Normalization using virtual batches (ablation)large-batch training with tuned learning rate · CIFAR-10 (Resnet44)validation accuracy: 89.30% -> 90.50%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · CIFAR-10 (Resnet44)validation accuracy: 90.50% -> 93.07%Helped
use large batch rather than small batch without adapting trainingResnet44 · CIFAR-10validation accuracy: 92.83% -> 86.10%Hurt
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · MNIST (F1)validation accuracy: 97.60% -> 98.53%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · CIFAR-10 (C1)validation accuracy: 86.4% -> 88.20%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · CIFAR-10 (VGG)validation accuracy: 91.50% -> 93.03%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · CIFAR-100 (C3)validation accuracy: 57.5% -> 63.20%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · CIFAR-100 (WResnet16-4)validation accuracy: 71.20% -> 73.57%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · ImageNet (Alexnet, LB size 4096)top-1 accuracy: 54.92% -> 59.5%Helped
adapt the training regime to match the small-batch update count (ablation)large-batch training with tuned learning rate and GBN · ImageNet (Alexnet, LB size 8192)top-1 accuracy: 53.93% -> 59.5%Helped
use dropout, dropconnect, or label noise to mimic small-batch gradient noise (ablation)large-batch training · large-batch experimentsgeneralization errorNo clear effect

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