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A Statistical Framework for Low-bitwidth Training of Deep Neural Networks

NeurIPS 2020 · Optimization › Optimizers · approach: Constrained and non-backprop training · 15 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace per-tensor gradient quantizer with per-sample quantizer (PSQ) (ablation)FQT gradient quantization · ImageNet ResNet50, 5-bit gradienttop-1 accuracy (%): 74.62 -> 76.30Helped
replace per-tensor gradient quantizer with block Householder quantizer (BHQ) (ablation)FQT gradient quantization · ImageNet ResNet50, 5-bit gradienttop-1 accuracy (%): 74.62 -> 76.83Helped
replace PTQ with BHQ at 4-bit gradient (ablation)FQT on ResNet50 · ImageNet ResNet50, 4-bit gradienttop-1 accuracy (%): diverge -> 74.75Helped
replace PTQ with BHQ at 4-bit gradient (ablation)FQT on ResNet18 · ImageNet ResNet18, 4-bit gradienttop-1 accuracy (%): 68.70 -> 69.48Helped
replace PTQ with PSQ at 8-bit gradient (ablation)FQT on ResNet18 · ImageNet ResNet18, 8-bit gradienttop-1 accuracy (%): 71.24 -> 70.92Hurt
replace PTQ with PSQ at 8-bit gradient (ablation)FQT on ResNet50 · ImageNet ResNet50, 8-bit gradienttop-1 accuracy (%): 76.40 -> 77.40Helped
replace PTQ with PSQ then BHQ (ablation)gradient quantizer · CIFAR10 conv_3_5_2 gradientquantizer variance: 1.2e-3 -> 8.1e-5 -> 1.4e-5Helped
reduce gradient bitwidth by one bit (ablation)per-tensor quantizer · CIFAR10quantization variance: about 4x per bitHurt
replace PTQ with BHQ at 5-bit gradient (ablation)Transformer FQT · IWSLT14 En-Devalidation BLEUHelped

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