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LEARNED STEP SIZE QUANTIZATION

ICLR 2020 · Architectures and efficiency › Quantization · approach: Mixed-precision quantization · 289 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LSQ instead of prior quantization methodsResNet-18, ResNet-34, and ResNet-50 · ImageNettop-1 accuracy: 67.6 vs 64.4; 71.6 vs 70.6; 73.7 vs 72.2Helped
Use 4-bit rather than 8-bit quantizationLSQ ResNet-18 and ResNet-34 · ImageNettop-1 accuracy: 71.1 vs 71.1; 74.1 vs 74.1No clear effect
Reduce weight decay from 10^-4 to 0.25 × 10^-4 (ablation)2-bit ResNet-18 · ImageNettop-1 accuracy: 66.9 -> 67.6Helped
Reduce weight decay from 10^-4 to 0.5 × 10^-4 (ablation)3-bit ResNet-18 · ImageNettop-1 accuracy: 70.1 -> 70.2Helped
Scale step-size gradients by layer size and precision (ablation)2-bit ResNet-18 · ImageNettop-1 accuracy: 64.2 -> 67.6Helped
Adjust only for layer size, not precision (ablation)2-bit ResNet-18 · ImageNettop-1 accuracy: 67.6 -> 67.3Hurt
Use no step-size gradient scaling at the standard initial learning rate (ablation)2-bit ResNet-18 · ImageNetconvergenceHurt
Multiply the step-size gradient scale by ten or divide it by ten (ablation)2-bit ResNet-18 · ImageNettop-1 accuracy: 67.6 -> 67.4; 67.6 -> 67.3Hurt
Replace cosine decay with step-based learning-rate decay (ablation)2-bit LSQ ResNet-18 · ImageNettop-1 accuracy: 67.6 -> 67.2Hurt
Add same-architecture full-precision teacher distillation (ablation)3-bit ResNet-50 · ImageNettop-1 accuracy: 75.8 -> 76.9Helped
Distill a full-precision student from a full-precision teacher (ablation)Full-precision student · ImageNetaccuracyNo clear effect
Learn task-loss-optimal step sizes rather than minimizing quantization error (ablation)2-bit ResNet-18 · ImageNetquantization error: 50%; 63%; 64%; 47%; 28%; 46%Mixed

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