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AdamP: Slowing Down the Slowdown for Momentum Optimizers on Scale-invariant Weights

ICLR 2021 · Optimization › Optimizers · approach: Adam convergence and adaptive learning rates · 93 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Project the radial component out of momentum updatesSGD/Adam on ImageNet classification · ImageNet-1Kaccuracy: +0.09 to +1.24Helped
Project the radial component out of Adam updatesCenterNet and SSD · MS-COCOAP: +0.28 to +0.87Helped
Project the radial component out of Adam updatesHarmonic CNN · Audio classification benchmarksaccuracy / AUC / F1: +0.18 to +0.80Helped
Project the radial component out of Adam updatesTransformer-XL without WN · WikiText-103perplexity: 23.38 -> 23.26Helped
Add weight normalization, introducing scale invarianceTransformer-XL with Adam · WikiText-103perplexity: 23.33 -> 23.90Hurt
Apply AdamP to Transformer-XL with weight normalizationTransformer-XL + WN · WikiText-103perplexity: 23.90 -> 22.73Helped
Project the radial component out of Adam updatesResNet-50 retrieval model · CUB, Cars-196, In-Shop, SOPRecall@1: +0.0 to +2.2Mixed
Project the radial component out of Adam updatesWide-ResNet adversarial training · CIFAR-10attacked accuracy: +2.94 to +13.26Helped
Project the radial component out of Adam updatesReBias models · Biased MNIST and 9-Class ImageNetaccuracy: +1.4 to +7.9Helped
Project the radial component out of Adam updatesResNet50 · ImageNet large-batch trainingaccuracy: +1.34 to +3.1Helped
Vary the detection threshold delta (ablation)AdamP on ResNet18 · ImageNet-1Kaccuracy: 70.66 to 70.83No clear effect
Use weight decay to regularize norm growth instead of projectionmomentum GD · 3D scale-invariant Rosenbrockconvergence: r=1.0 -> 2.53Mixed

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