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[Re] Nondeterminism and Instability in Neural Network Optimization

NeurIPS 2022 · Optimization › Optimizers · approach: Differentiating through embedded optimization

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Vary initialization, shuffling, augmentation, or cuDNN nondeterminism individuallyResNet-14 · CIFAR-10accuracy SD (%): $0.23 \pm 0.02$; $0.25 \pm 0.02$; $0.23 \pm 0.02$; $0.22 \pm 0.01$No clear effect
Vary all sources rather than parameter initialization aloneResNet-14 · CIFAR-10accuracy SD (%): $0.23 \pm 0.02$ -> $0.26 \pm 0.02$No clear effect
Change one randomly selected initial weight by one bitResNet-14 · CIFAR-10accuracy SD (%): $0.21 \pm 0.01$ vs $0.26 \pm 0.02$No clear effect
Change one randomly selected initial weight by one bitQRNN · Penn TreebankPPL SD: $0.19 \pm 0.01$ vs $0.18 \pm 0.01$No clear effect
Use accelerated Snapshot Ensemble instead of a single modelResNet-14 · CIFAR-10accuracy SD (%): $0.26 \pm 0.02$ -> $0.19 \pm 0.02$Helped
Apply horizontal-flip test-time augmentationSingle ResNet-14 · CIFAR-10accuracy SD (%): $0.26 \pm 0.02$ -> $0.24 \pm 0.02$Helped
Apply 81-crop test-time augmentationSingle ResNet-14 · CIFAR-10accuracy SD (%): $0.26 \pm 0.02$ -> $0.21 \pm 0.01$Helped
Combine accelerated ensembling with flip and 81-crop TTAResNet-14 · CIFAR-10accuracy SD (%): $0.26 \pm 0.02$ -> $0.16 \pm 0.01$Helped
Use accelerated ensembling for 500 epochsQRNN · Penn TreebankPPL SD: $0.18 \pm 0.01$ -> $0.21 \pm 0.02$Mixed
Increase independently ensembled models from 2 to 20 (ablation)ResNet-14 · CIFAR-10accuracy SD (%): $0.19 \pm 0.02$ -> $0.11 \pm 0.04$Helped
Use one-bit initial weight perturbations instead of a stable initialization (ablation)Linear model · CIFAR-10accuracy SD (%): $0.00 \pm 0.00$No clear effect
Extend training from 500 to 2,000 epochs (ablation)ResNet-14 with all nondeterminism sources · CIFAR-10accuracy SD (%): $0.26 \pm 0.02$ -> $0.24 \pm 0.02$No clear effect

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