Continual learning (CL) is essential for deploying large language models (LLMs) in dynamic real-world environments without the need for costly retraining. Recent model merging-based methods have attracted significant attention, but they still struggle to effectively manage the trade-off between learning new knowledge and preventing forgetting, a challenge largely stemming from suboptimal number of merges and merging frequency. In this paper, we introduce Adaptive Iterative Model Merging (AimMerging), a novel CL framework that utilizes learning and forgetting signals from the training trajectory to dynamically monitor the model's training status. Guided by dynamic monitoring, the training trajectory-guided merge controller adaptively determines the timing and frequency of iterative fusion, while the rehearsal-based knowledge fusion module computes the merging weights and executes the fusion. Comprehensive experiments on three CL benchmarks with various model sizes (from 770M to 13B) demonstrate that AimMerging achieves significant performance improvements over existing state-of-the-art methods, with an average relative improvement of 80% and 59% on FWT and BWT, respectively. The source code is provided for reproducibility.
@article{arxiv.2509.17348,
title = {AIMMerging: Adaptive Iterative Model Merging Using Training Trajectories for Language Model Continual Learning},
author = {Yujie Feng and Jian Li and Xiaoyu Dong and Pengfei Xu and Xiaohui Zhou and Yujia Zhang and Zexin LU and Yasha Wang and Alan Zhao and Xu Chu and Xiao-Ming Wu},
journal= {arXiv preprint arXiv:2509.17348},
year = {2025}
}