Transferring Math Reasoning Abilities from LLMs to MLLMs via Causal-Aware Model Merging

Yijie Hu, Guanyu Yang, Zihao Zhou, Bin Dong, Xiaowei Huang, Kaizhu Huang, Qiufeng Wang


Abstract
To build a math MLLM, current research efforts predominantly rely on elaborate training schemes or high-quality multi-modal math reasoning data. On the other hand, model merging has attracted much attention recently due to its low-cost and tune-free property, which has shown great potential for constructing math MLLM. However, most recent attempts either assume all parameters are task-relevant or adopt a less interpretable parameter selection strategy, thus merging parameters on a coarse granularity, leading to limited or even degrading performance. In this paper, we propose a causal-analysis–guided parameter merging framework, which identifies the math reasoning-related parameters in a finer granularity and interpretable manner, then merges the math LLMs with MLLM. Specifically, we first construct targeted arithmetic and logical tasks, generate reference and counterfactual samples, and then apply intervention-based causal attribution to localize parameters that are causally responsible for math reasoning. Once we identify the crucial reasoning parameters in the math LLM that exhibit higher causal effects, we can more precisely align and merge only the corresponding parameters from the math LLM into the base MLLM. The procedure is tuning-free and enhances both math reasoning and general reasoning abilities. Experimental results of three model families on four math reasoning benchmarks and two general reasoning benchmarks validate the effectiveness of the proposed approach.
Anthology ID:
2026.findings-emnlp.1943
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
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Pages:
41432–41447
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URL:
https://aclanthology.org/2026.findings-emnlp.1943/
DOI:
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Cite (ACL):
Yijie Hu, Guanyu Yang, Zihao Zhou, Bin Dong, Xiaowei Huang, Kaizhu Huang, and Qiufeng Wang. 2026. Transferring Math Reasoning Abilities from LLMs to MLLMs via Causal-Aware Model Merging. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 41432–41447, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Transferring Math Reasoning Abilities from LLMs to MLLMs via Causal-Aware Model Merging (Hu et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.1943.pdf