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Binary Ensemble Neural Network: More Bits per Network or More Networks per Bit?

CVPR 2019 · Architectures and efficiency › Quantization · approach: Binary neural networks · 149 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Ensemble binary SB classifiers instead of using one classifierSB on CIFAR-10 · CIFAR-10, NINAccuracy: 84.91% -> 89.12%Helped
Add boosting rather than bagging, especially for compressed weak classifiers (ablation)BENN on CIFAR-10 · CIFAR-10, NIN (Nano)Accuracy: 57.12% -> 63.11%; up to 13.38%Helped
Use warm-restart sequential training rather than independent training (ablation)BENN on CIFAR-10 · CIFAR-10, NINAccuracy: up to 3.9% for bagging and 2.95% for boostingHelped
Use warm-restart sequential training rather than independent training (ablation)BENN on ImageNet · ImageNetAccuracyHurt
Increase the number of ensemble classifiersBENN on CIFAR-10 · CIFAR-10Accuracy: 4.21% to 24.16% over BNN; up to 1.52% over full-precision DNNHelped
Increase the ensemble size from 5 to 32 (ablation)BENN on CIFAR-10 · CIFAR-10Accuracy variation: variance by ~90% after 5 rounds and ~99% after 32 roundsHelped
Select the best BNN checkpoint rather than the final training checkpoint (ablation)Single BNN on CIFAR-10 · CIFAR-10Training accuracy oscillation: 2.94 -> 1.40Helped
Increase activation precision from binary to 2-bit (ablation)BENN-AQB · CIFAR-10AccuracyHelped
Keep the first and/or last layer full precision instead of binarizing all layers (ablation)BENN · CIFAR-10Accuracy: loss reduces from 3.98% ~ 11.9% to 2.36% ~ 6.98%Helped
Compress each base network to Tiny or Nano size (ablation)BENN-SB · CIFAR-10Accuracy: compression reduces single BNN's accuracy by 7.71% (Tiny config) and 44.21% (Nano config)Hurt
Increase ensemble size on ImageNet (ablation)BENN-SB · ImageNetAccuracy: 56%+ on AlexNetMixed
Replace bagging with boosting (ablation)BENN-SB · ImageNet, AlexNetTop-1 accuracy: 48.8% -> 50.2% (3 ensembles); 52.0% -> 54.3% (6 ensembles)Helped

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