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A Statistical Framework for Low-bitwidth Training of Deep Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace per-tensor gradient quantizer with per-sample quantizer (PSQ) (ablation) | FQT gradient quantization · ImageNet ResNet50, 5-bit gradient | top-1 accuracy (%): 74.62 -> 76.30 | Helped |
| replace per-tensor gradient quantizer with block Householder quantizer (BHQ) (ablation) | FQT gradient quantization · ImageNet ResNet50, 5-bit gradient | top-1 accuracy (%): 74.62 -> 76.83 | Helped |
| replace PTQ with BHQ at 4-bit gradient (ablation) | FQT on ResNet50 · ImageNet ResNet50, 4-bit gradient | top-1 accuracy (%): diverge -> 74.75 | Helped |
| replace PTQ with BHQ at 4-bit gradient (ablation) | FQT on ResNet18 · ImageNet ResNet18, 4-bit gradient | top-1 accuracy (%): 68.70 -> 69.48 | Helped |
| replace PTQ with PSQ at 8-bit gradient (ablation) | FQT on ResNet18 · ImageNet ResNet18, 8-bit gradient | top-1 accuracy (%): 71.24 -> 70.92 | Hurt |
| replace PTQ with PSQ at 8-bit gradient (ablation) | FQT on ResNet50 · ImageNet ResNet50, 8-bit gradient | top-1 accuracy (%): 76.40 -> 77.40 | Helped |
| replace PTQ with PSQ then BHQ (ablation) | gradient quantizer · CIFAR10 conv_3_5_2 gradient | quantizer variance: 1.2e-3 -> 8.1e-5 -> 1.4e-5 | Helped |
| reduce gradient bitwidth by one bit (ablation) | per-tensor quantizer · CIFAR10 | quantization variance: about 4x per bit | Hurt |
| replace PTQ with BHQ at 5-bit gradient (ablation) | Transformer FQT · IWSLT14 En-De | validation BLEU | Helped |
Closest papers by meaning
- Compute-Optimal Quantization-Aware Training (ICLR 2026 · similarity 0.92)
- Accurate Neural Training with 4-bit Matrix Multiplications at Standard Formats (ICLR 2023 · similarity 0.90)
- Analysis of Quantized Models (ICLR 2019 · similarity 0.90)
- Network Quantization With Element-Wise Gradient Scaling (CVPR 2021 · similarity 0.90)
- Post-Training Sparsity-Aware Quantization (NeurIPS 2021 · similarity 0.89)
- Efficient Multi-bit Quantization Network Training via Weight Bias Correction and Bit-wise Coreset Sampling (NeurIPS 2025 · similarity 0.88)
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