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Rethinking Soft Labels for Knowledge Distillation: A Bias–Variance Tradeoff Perspective

ICLR 2021 · Label-efficient and robust learning › Knowledge distillation · approach: Self and data-free distillation · 44 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace standard KD soft-label loss with weighted soft labelsKnowledge distillation · CIFAR-100, eight teacher-student pairsTop-1 accuracy: 73.54 -> 74.48; 70.66 -> 72.15; 70.67 -> 72.19; 73.08 -> 74.12; 73.33 -> 76.05; 74.07 -> 75.46; 74.45 -> 75.93; 74.83 ->Helped
Replace standard KD with weighted soft labelsResNet-34 → ResNet-18 distillation · ImageNet validationTop-1 accuracy: 70.67 -> 72.04Helped
Replace standard KD with weighted soft labelsResNet-50 → MobileNet-v1 distillation · ImageNet validationTop-1 accuracy: 70.49 -> 71.52Helped
Replace standard KD with weighted soft labelsBERT-12 → BERT-3 distillation · MultiNLIAccuracy: 75.50 -> 76.28Helped
Mask KD gradients on the ground-truth-related logit (ablation)Standard KD · CIFAR-100, WRN-40-2 → WRN-16-2, τ=4Top-1 accuracy: 74.92 -> 73.51Hurt
Exclude regularization samples from KD (ablation)Standard KD · CIFAR-100, WRN-40-2 → WRN-16-2, τ=4Top-1 accuracy: 74.92 -> 74.59Hurt
Use KD only on regularization samples (ablation)Standard KD · CIFAR-100, WRN-40-2 → WRN-16-2, τ=4Top-1 accuracy: 74.92 -> 73.86Hurt
Apply weighted soft labels to regularization samples only (ablation)KD · CIFAR-100, WRN-40-2 → WRN-40-1Top-1 accuracy: 73.86 -> 74.46Helped
Apply weighted soft labels while excluding regularization samples (ablation)KD · CIFAR-100, WRN-40-2 → WRN-40-1Top-1 accuracy: 74.59 -> 75.35Helped
Distill from a label-smoothed teacher instead of a teacher without label smoothing (ablation)Standard KD, τ=4 · CIFAR-100Top-1 accuracy: 74.92 -> 74.59Hurt
Distill from a label-smoothed teacher instead of a teacher without label smoothing (ablation)Weighted soft labels, τ=4 · CIFAR-100Top-1 accuracy: 75.78 -> 75.60Hurt
Replace proposed weighting function with scaled sigmoid weighting (ablation)Weighted soft-label KD · CIFAR-100, WRN-40-2 → WRN-40-1, α=2.0Top-1 accuracy: 74.13 vs 74.38Hurt

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