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Right Time to Learn: Promoting Generalization via Bio-inspired Spacing Effect in Knowledge Distillation

ICML 2025 · Label-efficient and robust learning › Knowledge distillation · approach: Distillation with causal and adaptive guidance

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Proposes Spaced KD, which delays the teacher relative to the student by a fixed interval (inspired by the spacing effect) to improve online KD and self KD, and shows gains tied to convergence to flatter minima.

Problem

Online KD and self KD only moderately improve generalization of DNNs, and existing adaptive KD methods address the teacher-student gap spatially rather than temporally.

Approach

Train the teacher a space interval s ahead of the student and distill from the frozen advanced teacher over the same batches, so the teacher gives a stable target; theoretically the spaced teacher yields a lower expected Hessian trace (flatter minima) than online KD.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add spaced teacher updates (s=1.5)Online KD with ResNet-18 · CIFAR-100accuracy: 71.05 -> 72.43 (+1.38)Helped
add spaced teacher updates (s=1.5)Online KD with ResNet-50 · Tiny-ImageNetaccuracy: 60.99 -> 63.30 (+2.31)Helped
add spaced distillationSelf KD with ResNet-101 · Tiny-ImageNetaccuracy: 63.35 -> 66.79 (+3.44)Helped
add spacing with L1 loss (ablation)Online KD, ResNet-18 · CIFAR-100accuracy: 69.54 -> 69.30 (-0.24)Hurt
add spacing with smooth L1 loss (ablation)Online KD, ResNet-18 · CIFAR-100accuracy: 68.96 -> 69.45 (+0.49)Helped
add spacing with MSE (Sum) loss (ablation)Online KD, ResNet-18 · CIFAR-100accuracy: 71.05 -> 72.43 (+1.38)Helped
add spacing with Cross-Entropy loss (ablation)Online KD, ResNet-18 · CIFAR-100accuracy: 70.38 -> 72.04 (+1.66)Helped
use a constant teacher gap instead of periodically spaced updates (ablation)Online KD, ResNet-18 · CIFAR-100accuracy: 71.05 -> 70.69No clear effect
start spaced distillation in the later rather than early training stage (ablation)Spaced KD · Image classification benchmarksaccuracyHelped
vary the space interval (ablation)Spaced KD, ResNet-18 · CIFAR-100accuracy: 71.05 -> 72.02; 72.03; 72.43; 72.18Mixed
add spacing under different image corruption attacksOnline KD · CIFAR-100 corruption testaccuracy: +1.23; +0.98; +1.77; +2.09; -0.89Mixed

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-100 Tiny-ImageNet ImageNet-100 ImageNet-1K

Benchmarks: CIFAR-100 Tiny-ImageNet ImageNet-100 ImageNet-1K CIFAR-100-C corruptions

Metrics: top-1 accuracy robust accuracy under BIM attack training loss under Gaussian parameter perturbation

Baselines: online KD self KD offline KD TSB CTKD LSKD DML SHAKE BAN TAKD DLB PSKD

Builds on: online KD self KD DML DLB PSKD

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