Beyond Outliers: A Data-Free Layer-wise Mixed-Precision Quantization Approach Driven by Numerical and Structural Dual-Sensitivity

Fuente: arXiv
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Auteurs principaux: Zhang, Hengyuan, Chen, Xinrong, Su, Zunhai, Liang, Xiao, Xiong, Jing, Xu, Wendong, Xiao, He, Tao, Chaofan, Zhang, Wei, Xie, Ruobing, Jiang, Lei, So, Hayden Kwok-Hay, Wong, Ngai
Format: Preprint
Publié: 2026
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author Zhang, Hengyuan
Chen, Xinrong
Su, Zunhai
Liang, Xiao
Xiong, Jing
Xu, Wendong
Xiao, He
Tao, Chaofan
Zhang, Wei
Xie, Ruobing
Jiang, Lei
So, Hayden Kwok-Hay
Wong, Ngai
author_facet Zhang, Hengyuan
Chen, Xinrong
Su, Zunhai
Liang, Xiao
Xiong, Jing
Xu, Wendong
Xiao, He
Tao, Chaofan
Zhang, Wei
Xie, Ruobing
Jiang, Lei
So, Hayden Kwok-Hay
Wong, Ngai
contents Layer-wise mixed-precision quantization (LMPQ) enables effective compression under extreme low-bit settings by allocating higher precision to sensitive layers. However, existing methods typically treat all intra-layer weight modules uniformly and rely on a single numerical property when estimating sensitivity, overlooking their distinct operational roles and structural characteristics. To address this, we propose NSDS, a novel calibration-free LMPQ framework driven by Numerical and Structural Dual-Sensitivity. Specifically, it first mechanistically decomposes each layer into distinct operational roles and quantifies their sensitivity from both numerical and structural perspectives. These dual-aspect scores are then aggregated into a unified layer-wise metric through a robust aggregation scheme based on MAD-Sigmoid and Soft-OR to guide bit allocation. Extensive experiments demonstrate that NSDS consistently achieves superior performance compared to various baselines across diverse models and downstream tasks, without relying on any calibration data.
format Preprint
id arxiv_https___arxiv_org_abs_2603_17354
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Beyond Outliers: A Data-Free Layer-wise Mixed-Precision Quantization Approach Driven by Numerical and Structural Dual-Sensitivity
Zhang, Hengyuan
Chen, Xinrong
Su, Zunhai
Liang, Xiao
Xiong, Jing
Xu, Wendong
Xiao, He
Tao, Chaofan
Zhang, Wei
Xie, Ruobing
Jiang, Lei
So, Hayden Kwok-Hay
Wong, Ngai
Machine Learning
Computation and Language
Layer-wise mixed-precision quantization (LMPQ) enables effective compression under extreme low-bit settings by allocating higher precision to sensitive layers. However, existing methods typically treat all intra-layer weight modules uniformly and rely on a single numerical property when estimating sensitivity, overlooking their distinct operational roles and structural characteristics. To address this, we propose NSDS, a novel calibration-free LMPQ framework driven by Numerical and Structural Dual-Sensitivity. Specifically, it first mechanistically decomposes each layer into distinct operational roles and quantifies their sensitivity from both numerical and structural perspectives. These dual-aspect scores are then aggregated into a unified layer-wise metric through a robust aggregation scheme based on MAD-Sigmoid and Soft-OR to guide bit allocation. Extensive experiments demonstrate that NSDS consistently achieves superior performance compared to various baselines across diverse models and downstream tasks, without relying on any calibration data.
title Beyond Outliers: A Data-Free Layer-wise Mixed-Precision Quantization Approach Driven by Numerical and Structural Dual-Sensitivity
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2603.17354