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Q-BERT: Hessian Based Ultra Low Precision Quantization of BERT

AAAI 2020 · Architectures and efficiency › Quantization · approach: Post-training quantization of LLMs · 423 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Hessian-based 2/3-bit mixed precision rather than uniform 2-bit weightsQ-BERT on SST-2 · SST-2 devaccuracy: 84.63 -> 92.08Helped
Use Hessian-based 2/3-bit mixed precision rather than uniform 2-bit weightsQ-BERT on MNLI-m · MNLI-m devaccuracy: 76.56 -> 81.75Helped
Use Hessian-based 2/3-bit mixed precision rather than uniform 2-bit weightsQ-BERT on CoNLL-03 · CoNLL-03 devF1: 91.06 -> 94.37Helped
Use Hessian-based 2/3-bit mixed precision rather than uniform 2-bit weightsQ-BERT on SQuAD · SQuAD devF1: 79.60 -> 86.95Helped
Add group-wise quantization, using 128 groups instead of layer-wise quantization (ablation)Q-BERT on SST-2 · SST-2 devaccuracy: 85.67 -> 92.66Helped
Add group-wise quantization, using 128 groups instead of layer-wise quantization (ablation)Q-BERT on MNLI-m · MNLI-m devaccuracy: 76.69 -> 83.89Helped
Add group-wise quantization, using 128 groups instead of layer-wise quantization (ablation)Q-BERT on CoNLL-03 · CoNLL-03 devF1: 89.86 -> 94.90Helped
Increase group count from 128 to 768 (ablation)Q-BERT on SST-2 · SST-2 devaccuracy: 92.66 -> 92.78No clear effect
Increase group count from 128 to 768 (ablation)Q-BERT on MNLI-m · MNLI-m devaccuracy: 83.89 -> 84.00No clear effect
Increase group count from 128 to 768 (ablation)Q-BERT on CoNLL-03 · CoNLL-03 devF1: 94.90 -> 94.99No clear effect
Quantize position rather than word embeddings to 4 bits (ablation)Q-BERT on SST-2 · SST-2 devaccuracy: 91.74 -> 89.11Hurt
Quantize the fully connected module more aggressively than the self-attention module (ablation)Q-BERT mixed-precision encoder · SST-2accuracy: 89.56 -> 85.89Hurt

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