Decouple and Orthogonalize: A Data-Free Framework for LoRA Merging

Shenghe Zheng, Hongzhi Wang, Chenyu Huang, Xiaohui Wang, Jiayuan Fan, Shuyue Hu, Peng Ye


Abstract
With the growing availability of open-source task-specific models, model merging has become a practical way to combine multiple models into one. However, existing studies mainly focus on fully fine-tuned models and overlook widely used LoRA modules. We show that full fine-tuning merging methods perform poorly on LoRA due to its larger cross-task magnitude disparities, which distort merged parameters and degrade performance. To address this, we propose DO-Merging (Decouple and Orthogonalize), a data-free framework for LoRA merging. Specifically, we decompose model weights into magnitude and direction components and merge them independently, preventing magnitude imbalances from distorting the merged direction. We further introduce a layer-wise gradient descent method with orthogonal constraints that reduces inter-task interference among direction components without requiring any training data. We provide theoretical analysis supporting both components. Extensive experiments across vision, language, and multi-modal domains show that DO-Merging consistently outperforms existing methods, achieving up to 5% gains on vision tasks, with negligible additional cost. Both parts can be integrated into existing merging methods as plug-and-play enhancements.
Anthology ID:
2026.findings-emnlp.1516
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
32287–32307
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.1516/
DOI:
10.18653/2026.findings-emnlp.1516
Bibkey:
Cite (ACL):
Shenghe Zheng, Hongzhi Wang, Chenyu Huang, Xiaohui Wang, Jiayuan Fan, Shuyue Hu, and Peng Ye. 2026. Decouple and Orthogonalize: A Data-Free Framework for LoRA Merging. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 32287–32307, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Decouple and Orthogonalize: A Data-Free Framework for LoRA Merging (Zheng et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1516.pdf