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Kalman Normalization: Normalizing Internal Representations Across Network Layers

NeurIPS 2018 · Architectures and efficiency › RNNs and normalization · approach: Batch normalization improvements · 31 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace BN with Kalman Normalization at micro-batch size 4ResNet50 · ImageNet val, bs=4, moving statstop-1 accuracy: 72.7 -> 76.1Helped
replace BN with Kalman Normalization at batch size 32ResNet50 · ImageNet val, bs=32top-1 accuracy: 76.4 -> 76.8Helped
replace BN with Group Normalization at batch size 32ResNet50 · ImageNet val, bs=32top-1 accuracy: 76.4 -> 75.9Hurt
replace BN with Kalman NormalizationInceptionv2 · ImageNet val, bs=32steps to reach 73.1%: 170k -> 100kHelped
replace BN* (frozen) with KN during fine-tuningMask RCNN ResNet50-conv4 · COCO 2017 valAPbbox / APmask: 36.7 -> 37.8 box, 32.1 -> 33.1 maskHelped
add Kalman Normalization to Batch Norm (BKN) at bs=2 (ablation)ResNet CIFAR-10 · CIFAR-10accuracy: 1.5% gain over BNHelped
add Kalman Normalization to Group Norm (GKN) at bs=2 (ablation)ResNet CIFAR-10 · CIFAR-10accuracy: 0.4% gain over GNHelped
use online batch statistics instead of moving statistics at inference (ablation)BN, batch size 1 · ImageNet InceptionV2, bs=1top-1 accuracy: 0.4% -> 47.99% (KN)Helped
use online batch statistics instead of moving statistics at inference (ablation)KN, CIFAR-10 bs=2 · CIFAR-10 Inceptionaccuracy: 90.9 -> 90.9No clear effect
use online batch statistics instead of moving statistics at inference (ablation)BN, CIFAR-10 bs=128 · CIFAR-10 Inceptionaccuracy: 92.1 -> 90.0Hurt
replace BN with KN at small batchInception · CIFAR-100, bs=2accuracy: 63.8 -> 67.3Helped
replace BN with KN at small batchInception · SVHN, bs=2accuracy: 98.06 -> 98.16Helped

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