NAN: A Training-Free Solution to Coefficient Estimation in Model Merging
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Abstract (arXiv)
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.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 24 of its 39 references that are in the map. First posted on arXiv 22 May 2025.
Builds on
24 of 39 references.
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12 more
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Built on by
Citing papers per year: 2025: 2; 2026: 3.
5 papers.
- 2025Why Do More Experts Fail? A Theoretical Analysis of Model Mergingcited by 6
- 2026ACE-Merging: Data-Free Model Merging with Adaptive Covariance Estimationcited by 6
- 2025JT-Safe: Intrinsically Enhancing the Safety and Trustworthiness of LLMscited by 0
- 2026Investigating Cross-Modal Skill Injection: Scenarios, Methods, and Hyperparameterscited by 0
- 2026PGSB: Pretrained-Guided Shared Basis for LoRA Model Mergingcited by 0
- 2026PGSB: Pretrained-Guided Shared Basis for LoRA Model Merging10 Oct 2026
- 2026Investigating Cross-Modal Skill Injection: Scenarios, Methods, and Hyperparameters19 May 2026
- 2026ACE-Merging: Data-Free Model Merging with Adaptive Covariance Estimation3 Mar 2026
- 2025JT-Safe: Intrinsically Enhancing the Safety and Trustworthiness of LLMs20 Oct 2025
- 2025Why Do More Experts Fail? A Theoretical Analysis of Model Merging27 May 2025