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Main Authors: Zhao, Jiaqi, Zhang, Miao, Wang, Ming, Shang, Yuzhang, Zhang, Kaihao, Guan, Weili, Wang, Yaowei, Zhang, Min
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.13179
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author Zhao, Jiaqi
Zhang, Miao
Wang, Ming
Shang, Yuzhang
Zhang, Kaihao
Guan, Weili
Wang, Yaowei
Zhang, Min
author_facet Zhao, Jiaqi
Zhang, Miao
Wang, Ming
Shang, Yuzhang
Zhang, Kaihao
Guan, Weili
Wang, Yaowei
Zhang, Min
contents Large Language Models (LLMs) suffer severe performance degradation when facing extremely low-bit (sub 2-bit) quantization. Several existing sub 2-bit post-training quantization (PTQ) methods utilize a mix-precision scheme by leveraging an unstructured fine-grained mask to explicitly distinguish salient weights, while which introduces an extra 1-bit or more per weight. To explore the real limit of PTQ, we propose an extremely low-bit PTQ method called PTQ1.61, which enables weight quantization to 1.61-bit for the first time. Specifically, we first introduce a one-dimensional structured mask with negligibly additional 0.0002-bit per weight based on input activations from the perspective of reducing the upper bound of quantization error to allocate corresponding salient weight channels to 4-bit. For non-salient channels binarization, an efficient block-wise scaling factors optimization framework is then presented to take implicit row-wise correlations and angular biases into account. Different from prior works that concentrate on adjusting quantization methodologies, we further propose a novel paradigm called quantization preprocessing, where we argue that transforming the weight distribution of the pretrained model before quantization can alleviate the difficulty in per-channel extremely low-bit PTQ. Extensive experiments indicate our PTQ1.61 achieves state-of-the-art performance in extremely low-bit quantization. Codes are available at https://github.com/zjq0455/PTQ1.61.
format Preprint
id arxiv_https___arxiv_org_abs_2502_13179
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PTQ1.61: Push the Real Limit of Extremely Low-Bit Post-Training Quantization Methods for Large Language Models
Zhao, Jiaqi
Zhang, Miao
Wang, Ming
Shang, Yuzhang
Zhang, Kaihao
Guan, Weili
Wang, Yaowei
Zhang, Min
Machine Learning
Artificial Intelligence
Large Language Models (LLMs) suffer severe performance degradation when facing extremely low-bit (sub 2-bit) quantization. Several existing sub 2-bit post-training quantization (PTQ) methods utilize a mix-precision scheme by leveraging an unstructured fine-grained mask to explicitly distinguish salient weights, while which introduces an extra 1-bit or more per weight. To explore the real limit of PTQ, we propose an extremely low-bit PTQ method called PTQ1.61, which enables weight quantization to 1.61-bit for the first time. Specifically, we first introduce a one-dimensional structured mask with negligibly additional 0.0002-bit per weight based on input activations from the perspective of reducing the upper bound of quantization error to allocate corresponding salient weight channels to 4-bit. For non-salient channels binarization, an efficient block-wise scaling factors optimization framework is then presented to take implicit row-wise correlations and angular biases into account. Different from prior works that concentrate on adjusting quantization methodologies, we further propose a novel paradigm called quantization preprocessing, where we argue that transforming the weight distribution of the pretrained model before quantization can alleviate the difficulty in per-channel extremely low-bit PTQ. Extensive experiments indicate our PTQ1.61 achieves state-of-the-art performance in extremely low-bit quantization. Codes are available at https://github.com/zjq0455/PTQ1.61.
title PTQ1.61: Push the Real Limit of Extremely Low-Bit Post-Training Quantization Methods for Large Language Models
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2502.13179