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All You Need in Knowledge Distillation Is a Tailored Coordinate System

AAAI 2025 · Label-efficient and robust learning › Knowledge distillation · approach: Distillation with causal and adaptive guidance · 1 citations (OpenAlex)

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Proposes TCS, a teacher-free distillation method that projects student features into a PCA coordinate system of a (self-supervised) teacher's features and selects a subset of dimensions via iterative feature selection, plus an efficient LSH-based loss (eLSH).

Problem

Knowledge distillation normally requires a large teacher trained on the target task, which is inflexible and costly (nearly doubling training time and GPU memory); SSL-pretrained teachers are rarely used effectively.

Approach

The dark knowledge of a teacher is captured by the coordinate system (PCA subspace) of its features computed in one forward pass on target data; the student's features are aligned to this coordinate system and a learned mask tailors it by selecting dimensions, with all post-backbone operations linear so no inference overhead.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use TCS instead of the strongest listed KD baselineResNet18 student with ViT-S teacher · CIFAR-100accuracy: 80.50 -> 81.37Helped
Use TCS instead of OFAResNet18 student with ConvNeXt-T teacher · CIFAR-100accuracy: 80.91 -> 81.60Helped
Use TCS instead of OFAResNet18 student with Mixer-B/16 teacher · CIFAR-100accuracy: 79.39 -> 81.02Helped
Use TCS instead of OFAResNet18 student with DeiT-T teacher · ImageNet-1K valaccuracy: 71.34 -> 71.40Helped
Use TCS instead of OFAResNet18 student with Swin-T teacher · ImageNet-1K valaccuracy: 71.85 -> 71.99Helped
Use TCS instead of OFAResNet18 student with Mixer-B teacher · ImageNet-1K valaccuracy: 71.38 -> 71.45Helped
Use TCS instead of IbM2ViT-S student with DINOv2 ViT-B teacher · CUB 16-shottop-1 accuracy: 86.5 ± 0.3 -> 87.6 ± 0.0Helped
Use TCS instead of IbM2ViT-S student with MoCov3 ViT-B teacher · ImageNet-1K 16-shottop-1 accuracy: 60.3 ± 0.2 -> 61.6 ± 0.1Helped
Add a ViT-S teacher to the ViT-B student (ablation)TCS with MoCov3 · CUB 16-shottop-1 accuracy: $67.32 \pm 0.21$ -> $71.17 \pm 0.26$Helped
Compute PCA using 3-shot in-domain data instead of no PCA (ablation)TCS on CUB · CUB 16-shottop-1 accuracy: $65.30 \pm 0.30$ -> $70.37 \pm 0.11$Helped
Compute PCA using 16-shot in-domain data instead of 3-shot in-domain data (ablation)TCS on CUB · CUB 16-shottop-1 accuracy: $70.37 \pm 0.11$ -> $71.80 \pm 0.05$Helped
Replace PCA coordinates with random vectors (ablation)TCS on CUB · CUB 16-shottop-1 accuracy: $65.30 \pm 0.30$ -> $65.71 \pm 0.61$Hurt

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-100 ImageNet-1K CUB-200-2011 VTAB-1K (Flowers102, Pets, Diabetic Retinopathy)

Benchmarks: CIFAR-100 ImageNet-1K CUB-200-2011

Metrics: top-1 accuracy GPU memory (GB) runtime (s/epoch)

Baselines: KD DKD CRD DIST OFA LSHL2 Self-distillation IbM2

Builds on: CRD LSH feature mimicking (LSHL2) IbM2 (practical few-shot learning) self-distillation

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