InfoQuant: Shaping Activation Distributions for Low-Bit LLM Quantization

Ke Li, Dong AN, Xiaoling Zang, Can Ye, Liang Xie, Qibo Qiu, Chen Shen, Xiaofei He, Wenxiao Wang


Abstract
Low-bit activation quantization remains a major bottleneck in efficient large language model (LLM) deployment. The difficulty is not only that activations contain outliers, but that their transformed distributions often remain poorly matched to a low-bit uniform quantizer. Existing post-training quantization (PTQ) methods suppress peaks, balance channels, or minimize reconstruction error, yet they rarely specify what activation distribution is actually easy to discretize. As a result, activations may appear numerically smoother while still incurring large quantization error because the quantization range remains wide or most values collapse into a few levels near the mean. We recast activation transformation as quantizer-facing distribution design and analyze quantization error from an information-theoretic perspective. Our analysis shows that quantization-friendly activations should jointly have a smaller numerical range and sufficient dispersion within that range. Guided by this analysis, we propose InfoQuant, a train-free method that employs Peak Suppression Orthogonal Transformation (PSOT) to shape activations into more quantization-friendly distributions. We further introduce adaptive outlier-token selection to improve the robustness of PSOT during optimization. Across multiple LLM families, InfoQuant consistently outperforms prior PTQ and end-to-end training baselines. Under W4A4KV4, InfoQuant preserves approximately 97% of the floating-point zero-shot accuracy on average. Code is available at: https://github.com/LLIKKE/InfoQuant.
Anthology ID:
2026.emnlp-main.1004
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
23113–23129
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1004/
DOI:
Bibkey:
Cite (ACL):
Ke Li, Dong AN, Xiaoling Zang, Can Ye, Liang Xie, Qibo Qiu, Chen Shen, Xiaofei He, and Wenxiao Wang. 2026. InfoQuant: Shaping Activation Distributions for Low-Bit LLM Quantization. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 23113–23129, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
InfoQuant: Shaping Activation Distributions for Low-Bit LLM Quantization (Li et al., EMNLP 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.emnlp-main.1004.pdf