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Shallow-Deep Networks: Understanding and Mitigating Network Overthinking

ICML 2019 · Architectures and efficiency › RNNs and normalization · approach: Representation geometry and collapse · 98 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add confidence-based early exits to VGG-16VGG-16 on CIFAR-10 · CIFAR-10accuracy (%): 93.1 -> 93.4Helped
Add confidence-based early exits to VGG-16VGG-16 on CIFAR-100 · CIFAR-100accuracy (%): 70.9 -> 74.4Helped
Add confidence-based early exits to WRN-32-4WRN-32-4 on Tiny ImageNet · Tiny ImageNetaccuracy (%): 60.3 -> 62.8Helped
Limit average inference cost to at most 50% with confidence-based early exitsSDN-trained VGG-16 · CIFAR-10accuracy (%): 93.1 -> 93.2No clear effect
Use joint SDN training rather than IC-only training (ablation)VGG-16-SDN · Tiny ImageNetmaximum internal-classifier accuracy (%): 59.3 -> 63.1Helped
Use joint SDN training rather than IC-only training (ablation)ResNet-56-SDN · Tiny ImageNetmaximum internal-classifier accuracy (%): 50.1 -> 54.1Helped
Use joint SDN training rather than IC-only training (ablation)WRN-32-4-SDN · Tiny ImageNetmaximum internal-classifier accuracy (%): 54.6 -> 62.2Helped
Use joint SDN training rather than IC-only training (ablation)MobileNet-SDN · Tiny ImageNetmaximum internal-classifier accuracy (%): 58.3 -> 59.6Helped
Use confidence-based early exits on backdoor inputsBackdoored VGG-16 on CIFAR-10 · CIFAR-10 backdoor inputsaccuracy (%): 12% to 84%Helped
Use confidence-based early exits on backdoor inputsBackdoored VGG-16 on CIFAR-10 · CIFAR-10 backdoor inputsattack target-class rate (%): 98% down to 17%Helped
Use internal-classifier disagreement as an error indicator instead of final prediction confidenceVGG-16-SDN · Tiny ImageNetseparation of correct and wrong predictions by normalized score: -0.29 vs. 0.71; confidence 0.93 vs. 0.71Helped
Allow the final network layers to continue processing after a correct internal predictionCNNs on CIFAR-10, CIFAR-100, and Tiny ImageNet · CIFAR-10, CIFAR-100, Tiny ImageNetaverage inference cost: 73%; 55%; 40%Hurt

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