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Positive-Negative Momentum: Manipulating Stochastic Gradient Noise to Improve Generalization

ICML 2021 · 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
Replace conventional momentum with positive-negative momentumSGD on CIFAR-10 and CIFAR-100 image-classification models · CIFAR-10 and CIFAR-100test error: 4.48_{0.09} vs 5.01_{0.03}; 6.26_{0.05} vs 6.42_{0.02}; 20.59_{0.29} vs 21.52_{0.37}; 19.76_{0.28} vs 19.81_{0.33}; 20.3Helped
Replace Adam with AdaPNMAdaptive optimization on CIFAR-10 and CIFAR-100 · CIFAR-10 and CIFAR-100test error: 4.94_{0.05} vs 6.53_{0.03}; 5.99_{0.11} vs 7.31_{0.25}; 20.41_{0.18} vs 27.16_{0.55}; 20.68_{0.11} vs 25.11_{0.15}; 20.2Helped
Replace SGD with PNMResNet50 on ImageNet · ImageNetTop-1 test error: 23.28 -> 23.21Helped
Replace SGD with PNMResNet50 on ImageNet · ImageNetTop-5 test error: 6.75 -> 6.73Helped
Replace AdamW with AdaPNMResNet50 on ImageNet · ImageNetTop-1 test error: 23.62 -> 23.12Helped
Replace AdamW with AdaPNMResNet50 on ImageNet · ImageNetTop-5 test error: 7.09 -> 6.82Helped
Replace Adam with AdaPNMLSTM language model · Penn TreeBanktest perplexity: 66.67 -> 64.25Helped
Use positive-negative pairs with beta_0 > 0 rather than beta_0 in [-1, 0] (ablation)PNM on ResNet18 · CIFAR-10test errorHelped
Vary beta_0 within [-1, 0], which does not enhance SGN (ablation)PNM on ResNet18 · CIFAR-10test errorNo clear effect
Use decoupled weight decay instead of L2 regularization (ablation)PNM · CIFAR-10 and CIFAR-100test errorHelped
Use cosine annealing or warm-restart learning-rate schedules (ablation)PNM and AdaPNM · CIFAR-10 and CIFAR-100test errorHelped
Use PNM instead of SGD with momentum under label noiseResNet34 · CIFAR-10 with 40% label noisetest error: more 20 pointsHelped

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