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NORM: Knowledge Distillation via N-to-One Representation Matching

ICLR 2023 · Architectures and efficiency › CNN design · approach: Invertible and wide-network analysis · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NORM instead of individually training the studentResNet18 · ImageNet, ResNet34→ResNet18top-1 accuracy: 70.13% to 72.14%Helped
Use NORM instead of individually training the studentMobileNet · ImageNet, ResNet50→MobileNettop-1 accuracy: 4.63% gainHelped
Expand student features to N=8 rather than N=1 (ablation)NORM · CIFAR-100, ResNet32x4→ResNet8x4top-1 accuracy: 3.02% to N=1 and 3.62% to the baseline student modelHelped
Match the teacher with all 8 expanded student feature segments instead of 1 segment (ablation)NORM · CIFAR-100, ResNet32x4→ResNet8x4top-1 accuracy: 0.98%Helped
Add vanilla logits-based KD lossNORM · CIFAR-100top-1 accuracy: 0.46% extra gain in averageHelped
Add contrastive KD lossNORM · CIFAR-100top-1 accuracy: 0.18% extra gain in averageHelped
Use two matching layers instead of only the default last convolutional layer (ablation)NORM · ImageNet, ResNet34→ResNet18top-1 accuracyHurt
Add one plain linear FT module without a residual connection (ablation)ResNet18 trained individually · ImageNettop-1 accuracy: 0.93%Hurt
Contract teacher features instead of expanding student features (ablation)NORM · ImageNet, ResNet34→ResNet18top-1 accuracy: 0.60% and 0.94%Hurt
Replace the l2-norm loss with l1-norm (ablation)NORM · CIFAR-100, ResNet32x4→ResNet8x4top-1 accuracy: 75.10 vs. 76.49Hurt
Replace the l2-norm loss with MMD (ablation)NORM · CIFAR-100, ResNet32x4→ResNet8x4top-1 accuracy: 76.62; 0.13% improvement to l2-normHelped
Replace the learnable ensemble layer with fixed averaging (ablation)NORM · ImageNet, ResNet34→ResNet18top-1 accuracy: 72.14 to 71.91Hurt

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