MOAQ: A Multi-Scale Outlier-Aware Framework for Extreme Quantization of Large Language Models

Jiaxi Tan, Xudong Li, Yan Zhang, Jiayi Ji, Xiawu Zheng, Yunhang Shen, Ke Li, Liujuan Cao


Abstract
Low-bit quantization is crucial for deploying Large Language Models (LLMs) on resource-constrained hardware. However, existing Post-Training Quantization (PTQ) methods adopt a monolithic view of outliers, overlooking their global spatial patterns within LLM architectures and weights that are quantization-sensitive but not numerically large. To overcome these challenges, we introduce MOAQ, a novel finetuning-free weight-only PTQ framework based on a new perspective for outlier analysis. MOAQ holistically addresses the outlier problem by three core components: (1) Spatial Calibration (SC) uses a clustering-optimized Hadamard matrix to reorganize disordered outliers into both discrete and clustered patterns. (2) Local Awareness and Suppression (LAS) adopts a dual strategy guided by our outlier metric. It assigns higher bit-widths to clustered outliers via Clustered Outlier Bit Search (COBS), enabling flexible fractional-bit quantization, while further refining quantization parameters for local discrete outliers through Local Outlierness-Aware Calibration (LOAC). (3) Global Feedback and Denoising (GFD) introduces a dynamic correction mechanism informed by our outlier metric to mitigate the progressive cross-layer enrichment of outliers. Extensive experiments show that MOAQ achieves state-of-the-art performance, outperforming both finetuning-free and many finetuning-based methods with substantially lower computational cost.
Anthology ID:
2026.emnlp-main.1434
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
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Pages:
32762–32781
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URL:
https://aclanthology.org/2026.emnlp-main.1434/
DOI:
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Cite (ACL):
Jiaxi Tan, Xudong Li, Yan Zhang, Jiayi Ji, Xiawu Zheng, Yunhang Shen, Ke Li, and Liujuan Cao. 2026. MOAQ: A Multi-Scale Outlier-Aware Framework for Extreme Quantization of Large Language Models. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 32762–32781, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
MOAQ: A Multi-Scale Outlier-Aware Framework for Extreme Quantization of Large Language Models (Tan et al., EMNLP 2026)
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https://aclanthology.org/2026.emnlp-main.1434.pdf