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Knowledge Transfer with Jacobian Matching
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add Jacobian matching to CE and activation matching | VGG-4 student distilled from VGG-9 teacher · CIFAR100, 1–100 data points/class | test accuracy (%): 12.13 -> 13.78; 26.97 -> 33.39; 33.92 -> 39.55; 46.47 -> 49.49; 50.92 -> 52.43 | Helped |
| Add Jacobian matching to CE and activation matching | VGG-4 student distilled from VGG-9 teacher · CIFAR100, 500 data points/class | test accuracy (%): 56.65 -> 54.57 | Hurt |
| Add Jacobian matching to activation and attention matching | VGG-9 transfer student with ResNet-34 teacher · MIT Scenes, all reported data sizes | test accuracy (%): 16.53 -> 18.02; 28.35 -> 29.25; 46.01 -> 47.31; 57.80 -> 58.35; 67.24 -> 67.31 | Helped |
| Add a Jacobian-norm penalty (λ = 10.0) | VGG-9 classifier · CIFAR100 with Gaussian noise, std. dev. 0.2 and 0.4 | test accuracy (%): 47.53 ± 0.23 -> 58.28 ± 0.13; 17.69 ± 0.17 -> 44.96 ± 0.19 | Helped |
| Use ℓ2 regularization instead of a Jacobian-norm penalty | VGG-9 classifier · CIFAR100 with Gaussian noise, std. dev. 0.2 and 0.4 | test accuracy (%): 58.28 ± 0.13 -> 39.93 ± 0.28; 44.96 ± 0.19 -> 13.76 ± 0.16 | Hurt |
| Match shallow rather than deeper features for Jacobian loss (ablation) | VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/class | accuracy (%): 20.03 -> 22.39 | Helped |
| Use average pooling when computing Jacobians, rather than no pooling (ablation) | VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/class | accuracy (%): 19.74 -> 21.87 | Helped |
| Use global average pooling instead of an s/5 window (ablation) | VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/class | accuracy (%): 21.87 -> 20.00 | Hurt |
Closest papers by meaning
- Progressively Knowledge Distillation via Re-parameterizing Diffusion Reverse Process (AAAI 2024 · similarity 0.88)
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- A Gift From Knowledge Distillation: Fast Optimization, Network Minimization and Transfer Learning (CVPR 2017 · similarity 0.87)
- Gap Preserving Distillation by Building Bidirectional Mappings with A Dynamic Teacher (ICLR 2025 · similarity 0.86)
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- Enhancing Logits Distillation with Plug&Play Kendall's $\tau$ Ranking Loss (ICML 2025 · similarity 0.85)
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