PE-QAT: Parameter-Efficient Quantization-Aware Training for Large Language Models
Paper · 2026 · Shresth Mishra
Summary
Running large language models on devices requires aggressive compression. However, quantizing both weights and activations to 4 bits (W4A4) usually hurts accuracy, mainly because a few activation channels contain extreme outliers. Full quantization-aware training (QAT) can recover that accuracy, but it costs too much at LLM scale. PE-QAT offers a cheaper alternative. It keeps the full-precision base model frozen and trains only LoRA adapters. During training, the merged weights are fake-quantized using Straight-Through Estimators, so the adapters learn to offset quantization error. To deal with outliers, the method also learns two sets of per-channel parameters through backpropagation: SmoothQuant-style smoothing factors and symmetric activation clipping thresholds. Both are initialized from 99.5th-percentile calibration statistics. On Llama-2-7B, PE-QAT nearly matches FP16 accuracy on zero-shot commonsense reasoning while updating only about 1% of parameters. This places it between cheap post-training quantization and expensive full QAT.
Key points
- Setup: Per-channel symmetric W4A4 quantization is applied to the attention and MLP projections. The KV cache stays in FP16, and the current implementation uses fake quantization only.
- Accuracy and cost: On Llama-2-7B, average zero-shot accuracy is 66.69 versus 66.80 for FP16, with 1.26% of parameters trained. This is about 0.19 points above SpinQuant-H, and PE-QAT does not need Hadamard rotations.
- Perplexity: WikiText-2 perplexity is 7.58, compared with 5.47 for FP16 and 5.90 for SpinQuant-H. This beats OmniQuant (14.26), ZeroQAT (12.95), QA-LoRA (9.50) and SmoothQuant (83.12).
- Ablations:
- Removing learnable clipping raises perplexity by 3.00, while removing smoothing raises it by only 0.40.
- Percentile-based initialization outperforms max-based initialization.
- Limitations:
- Experiments cover models only up to 13B parameters.
- No end-to-end INT4 latency measurements are reported.
- Per-channel activation quantization needs specialized kernels.
- MMLU and GSM8K are not evaluated.
Fields, topics and concepts
📚 Shelves 5The field of science this work belongs to (OpenAlex fields).Computer Science · 16,667 worksArtificial Intelligence · 16,194 worksArts and Humanities · 16,039 worksLanguage and Linguistics · 15,891 worksComputer Vision and Pattern Recognition · 2,869 works
🧭 Topics 2Research subjects and languages the work is about.Language models & pretraining · 3,320 worksEfficient models & compression · 242 works
Cite
Cite as Shresth Mishra. 2026. PE-QAT: Parameter-Efficient Quantization-Aware Training for Large Language Models. Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 4: Student Research Workshop).
@inproceedings{mishra2026pe,
title = {{PE-QAT: Parameter-Efficient Quantization-Aware Training for Large Language Models}},
author = {Shresth Mishra},
booktitle = {Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 4: Student Research Workshop)},
year = {2026},
doi = {10.18653/v1/2026.acl-srw.63},
url = {https://doi.org/10.18653/v1/2026.acl-srw.63}
}References
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