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Knowledge Transfer with Jacobian Matching

ICML 2018 · Label-efficient and robust learning › Knowledge distillation · approach: Rethinking distillation objectives · 86 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add Jacobian matching to CE and activation matchingVGG-4 student distilled from VGG-9 teacher · CIFAR100, 1–100 data points/classtest accuracy (%): 12.13 -> 13.78; 26.97 -> 33.39; 33.92 -> 39.55; 46.47 -> 49.49; 50.92 -> 52.43Helped
Add Jacobian matching to CE and activation matchingVGG-4 student distilled from VGG-9 teacher · CIFAR100, 500 data points/classtest accuracy (%): 56.65 -> 54.57Hurt
Add Jacobian matching to activation and attention matchingVGG-9 transfer student with ResNet-34 teacher · MIT Scenes, all reported data sizestest accuracy (%): 16.53 -> 18.02; 28.35 -> 29.25; 46.01 -> 47.31; 57.80 -> 58.35; 67.24 -> 67.31Helped
Add a Jacobian-norm penalty (λ = 10.0)VGG-9 classifier · CIFAR100 with Gaussian noise, std. dev. 0.2 and 0.4test accuracy (%): 47.53 ± 0.23 -> 58.28 ± 0.13; 17.69 ± 0.17 -> 44.96 ± 0.19Helped
Use ℓ2 regularization instead of a Jacobian-norm penaltyVGG-9 classifier · CIFAR100 with Gaussian noise, std. dev. 0.2 and 0.4test accuracy (%): 58.28 ± 0.13 -> 39.93 ± 0.28; 44.96 ± 0.19 -> 13.76 ± 0.16Hurt
Match shallow rather than deeper features for Jacobian loss (ablation)VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/classaccuracy (%): 20.03 -> 22.39Helped
Use average pooling when computing Jacobians, rather than no pooling (ablation)VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/classaccuracy (%): 19.74 -> 21.87Helped
Use global average pooling instead of an s/5 window (ablation)VGG-9 / ResNet-34 transfer learning · MIT Scenes, 10 data points/classaccuracy (%): 21.87 -> 20.00Hurt

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