NAN: A Training-Free Solution to Coefficient Estimation in Model Merging

Fuente: arXiv
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Autori principali: Si, Chongjie, Lv, Kangtao, Jiang, Jingjing, Wang, Yadao, Wang, Yongwei, Yang, Xiaokang, Su, Wenbo, Zheng, Bo, Shen, Wei
Natura: Preprint
Pubblicazione: 2025
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author Si, Chongjie
Lv, Kangtao
Jiang, Jingjing
Wang, Yadao
Wang, Yongwei
Yang, Xiaokang
Su, Wenbo
Zheng, Bo
Shen, Wei
author_facet Si, Chongjie
Lv, Kangtao
Jiang, Jingjing
Wang, Yadao
Wang, Yongwei
Yang, Xiaokang
Su, Wenbo
Zheng, Bo
Shen, Wei
contents Model merging offers a training-free alternative to multi-task learning by combining independently fine-tuned models into a unified one without access to raw data. However, existing approaches often rely on heuristics to determine the merging coefficients, limiting their scalability and generality. In this work, we revisit model merging through the lens of least-squares optimization and show that the optimal merging weights should scale with the amount of task-specific information encoded in each model. Based on this insight, we propose NAN, a simple yet effective method that estimates model merging coefficients via the inverse of parameter norm. NAN is training-free, plug-and-play, and applicable to a wide range of merging strategies. Extensive experiments on show that NAN consistently improves performance of baseline methods.
format Preprint
id arxiv_https___arxiv_org_abs_2505_16148
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle NAN: A Training-Free Solution to Coefficient Estimation in Model Merging
Si, Chongjie
Lv, Kangtao
Jiang, Jingjing
Wang, Yadao
Wang, Yongwei
Yang, Xiaokang
Su, Wenbo
Zheng, Bo
Shen, Wei
Machine Learning
Computation and Language
Model merging offers a training-free alternative to multi-task learning by combining independently fine-tuned models into a unified one without access to raw data. However, existing approaches often rely on heuristics to determine the merging coefficients, limiting their scalability and generality. In this work, we revisit model merging through the lens of least-squares optimization and show that the optimal merging weights should scale with the amount of task-specific information encoded in each model. Based on this insight, we propose NAN, a simple yet effective method that estimates model merging coefficients via the inverse of parameter norm. NAN is training-free, plug-and-play, and applicable to a wide range of merging strategies. Extensive experiments on show that NAN consistently improves performance of baseline methods.
title NAN: A Training-Free Solution to Coefficient Estimation in Model Merging
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2505.16148